PT_G04_MA_WB_Text_2025_AY25-26

Practice • Solve • Succeed

Mathematics Workbook

Perfect

MATHEMATICS Workbook

Grade 4

Acknowledgements

Academic Authors: Muskan Panjwani, Anuj Gupta, Simran Singh

Creative Directors: Bhavna Tripathi, Mangal Singh Rana, Satish

Book Production: Sanjay Kumar Goel, Tauheed Danish, Vishesh Agarwal

Project Lead: Neena Aul

VP, Learning: Abhishek Bhatnagar

All products and brand names used in this book are trademarks, registered trademarks or trade names of their respective owners.

© Uolo EdTech Private Limited

First impression 2025

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Book Title: Perfect Mathematics Workbook 4

ISBN: 978-81-982034-0-3

Published by Uolo EdTech Private Limited

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CIN: U74999DL2017PTC322986

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All suggested use of the internet should be under adult supervision.

Preface

Mathematics thrives on practice, which is crucial for mastering concepts and building confidence. A regular engagement with mathematical problems helps students apply theoretical knowledge, identify areas for improvement, and enhance their critical thinking skills. With consistent practice, students can transform abstract ideas into tangible skills, paving the way for a deeper understanding and success in the subject.

The Perfect Mathematics workbooks are a set of practice books designed for students in Grades 1 to 8. One workbook is provided per grade. Aligned with the NCERT textbooks, these workbooks provide ample practice in the concepts covered in each grade, ensuring a strong foundational understanding of mathematics.

For younger learners (Grades 1 to 5), we have included Mental Mathematics worksheets designed to enhance rapid calculation skills, and avoid relying on calculators or written methods. These exercises promote quick thinking and boost students’ confidence in their mathematical abilities.

The workbooks support learners at all levels, providing opportunities to build problem-solving skills through questions aligned with Bloom’s Taxonomy. They also feature a diverse range of question types, including Fill in the blanks, True/False, MCQs, and both short and long answer questions. To foster critical thinking and analytical skills, each chapter includes dedicated challenge questions that push students to deepen their understanding and tackle more complex problems. Additionally, we have provided a Case Study at the end of each chapter, followed by scenario-based questions that encourage students to apply their theoretical knowledge in real-life situations, bridging the gap between classroom learning and practical application.

To facilitate self-assessment, answers to all questions are provided at the end of each workbook. This enables students to check their work and learn from their mistakes, fostering a growth mindset.

In addition, each workbook is aligned to its digital component, which contains immersive gamified experiences, video solutions and additional practice worksheets. Interactive exercises on the digital platform make learning experiential and serve to make abstract mathematical concepts more concrete.

We believe that the Perfect Mathematics Workbooks will be invaluable resources for students, helping them to not only master the curriculum but also develop a love for mathematics. Happy learning!

Rational Numbers

QR Code: Digital resources aligned to the key concepts covered in the book.

Worksheet 3: Chapter Checkup

Curriculum Alignment: Aligned with the topics covered in the NCERT textbooks for practice across chapters and topics.

Chapter Checkup: Chapter-end practice exercises aligned to different levels of Bloom’s Taxonomy.

Worksheet 4: Chapter Checkup

Picture-based Questions: Questions featuring visual stimuli to foster comprehension and interpretation. 2 4

Worksheet

Challenge

Challenge: Critical thinking questions to enhance problem-solving and analytical thinking skills. Higher-order-thinking questions, in the form of assertive reasoning, and data-sufficiency questions.

Critical Thinking

1  A book has 400 pages. Raj finishes writing 100 pages in x minutes. Raju takes twice the time taken by Raj to write the next 150 pages. Vivek takes 2 hours more than half the time taken by Raju to write the remaining pages. The total time taken to write the book was 33 hours and 20 minutes. How much time is taken by Vivek to write the remaining pages (in hours)?

Case Study

Case Study: Scenario-based questions for students to apply theoretical knowledge to real-world situations.

Urban Transport Tariffs

A company that provides transportation services charges different prices in different cities based on how many people live there. They also add a fixed fee for every ride, which stays the same no matter which city you are in. The table below shows how much they charge per kilometre and the fixed fee in City A and City B.

Answer Key: Answers to all the questions in the book at the end of the

2  Read the statements and choose the correct option.

Assertion (A) – The difference of two numbers is 25. The larger number is x. The smaller number is x – 25. Reason (R) – Numbers which follow each other in order, without gaps, from smallest to largest like 12, 13, 14 and 15 are consecutive numbers.

a  Both A and R are true and R is the correct explanation of A

b  Both A and R are true but R is not the correct explanation of A

c  A is true but R is false

d  A is false but R is true

Numbers up to 6 Digits

Aligned to NCERT Chapter: A Trip to Bhopal

Worksheet 1: All About 5-digit Numbers!

1  Which of the following numbers has 7 tens?

a  36789  b  47690  c  32478  d  67698

2  Which of the following numbers has the greatest value in the thousands place? a  45687

3 Write the place value and the face value of the underlined digit. Also, write the expanded form of the numbers.

a  56938 b 65899

c  25401 d  89376

4  Rewrite the numbers using periods, and then write them in words.

a  17372

b  43890

c  74065

d  80379

5  Write the following in numerals using commas.

a  Twelve thousand three hundred twenty-one

b  Thirty-four thousand six hundred

c  Seventy-eight thousand five

d  Fifty thousand ten

6  Write the following numbers in the short form using commas.

a  40000 + 6000 + 300 + 20 + 2

b  50000 + 0 + 700 + 50 + 7

c  70000 + 3000 + 0 + 60 + 1

d  90000 + 6000 + 400 + 0 + 8

7 The distance between India and USA is 13568 km. Write the number using periods, and then write it in words.

Challenge

1 Identify the number which has 4 in the tens place and 8 in the thousands place. The digit in the ones place is half the sum of the digits in the tens and thousands places, and the digit in the hundreds place is six less than the digit in the ones place.

Worksheet 2: All About 6-digit Numbers!

1 Write the place value of each digit and the expanded form of the following numbers. Also, write the face value of the digits at the lakhs place.

a  584736 b  704391

2  Write True or False.

a  The place value of the digit 5 in the number 205649 is five hundred.

b  In the number 342658, the place value of the digit 3 is 30000 × 20.

c  The difference of the place values of the digit 5 in the number 849553 is 450.

3  Write the following numbers in the short form using commas.

a  400000 + 10000 + 8000 + 200 + 20 + 2

b  500000 + 40000 + 0 + 100 + 40 + 7

c  700000 + 40000 + 9000 + 0 + 20 + 1

d  900000 + 80000 + 2000 + 900 + 0 + 2

4  Write the following in numerals.

a  Four lakh eighteen thousand three hundred

b  Six lakh twenty thousand

c  Eight lakh five thousand two hundred sixty-four

d  Seven lakh twenty thousand fifty

5  Rewrite the numbers using periods and write them in words.

a  197637

b  365021

6 The approximate distance to the Moon is 3,84,400 kilometers. Write this number in its expanded form.

Challenge

1 The digits in the Tens and the Thousands place of a number are 3 and 9, respectively. The digit in the Ones and the Ten Thousands places are 3 and 4 more than the digit in the Tens place. If the digit in the Hundreds place is three less than the digit in the Ten Thousands place and the digit in the lakhs place is the greatest one-digit number, find the number.

Worksheet 3: Comparing and Ordering Numbers

1  Compare the following numbers using the symbols >, <, = .

2  Arrange the following numbers in ascending order.

a  40,765, 14,390, 79,430, 37,935

66,773, 27,880, 59,573, 32,860

c  8,64,853, 4,67,943, 4,88,392, 8,33,067 d  7,48,546, 7,59,404, 7,20,157, 7,06,583

3  Form the smallest and the greatest numbers using the following digits without repetition.

Digits

a  4, 2, 7, 6, 5

b  6, 1, 3, 7, 8

4   Write the smallest and the greatest 6-digit number by repeating exactly 1 digit.

Digits Smallest Number

a  2, 1, 7, 4, 9

b  3, 8, 5, 0, 1

5 Exercise keeps us fit and healthy by burning unwanted calories. Supriya and her brother exercise on a regular basis. Supriya burnt 15,248 calories, while her brother burnt 18,396 calories this week. Who burnt more calories this week?

6 Anna wants to buy some books for her library. Her father has given her `11,200. The books cost `11,700. Does she have enough money to buy the books?

Challenge

Critical Thinking

1 Form the smallest 6-digit number using the digits 2, 0 and 5. Each digit has to be used at least once and a digit can be repeated any number of times.

Worksheet 4:

Rounding-off Numbers

1  Round off the following numbers to the nearest 10.

134

1468

2  Round off the following numbers to the nearest 100. a  174 b  1653 c  7610 d  23,492

3  Round off the following numbers to the nearest 1000.

a  1653 b  6573

c  34,784 d  87,301

4 Ramesh, a garden designer, has been tasked with creating a new garden similar to the one at a monument. The monument currently has 23,912 plants. How many plant saplings should Ramesh order approximately, knowing that some plants may not grow well? (Hint: Round off to the nearest 1000.) How do you take care of the plants around you?

5 The Earthʼs circumference is approximately 40,075 kilometres. What is the Earthʼs circumference when rounded to the nearest 1000?

Challenge

1 A 6-digit number when rounded off to the nearest 100, gives 2,56,300. The number when rounded off to the nearest 10, gives 2,56,290. The sum of all the digits of the number is 30. What is the number?

Worksheet 5: Chapter Checkup

1   Write the place value of each digit and the expanded form of the following numbers.

a  48361

b  87109

2   Spot the error and fix it.

a  685486 = 6 × 100000 + 85 × 10000 + 4 × 100 + 8 × 10 + 6 × 1

b  213548 = 200000 + 1000 + 30000 + 50 + 400 + 8

3   Rewrite the numbers using periods and write them in words.

a  38237 ______________________________ __________________________________________________________________

b  456321 ______________________________ __________________________________________________________________

c  970540

d  806399 ______________________________ __________________________________________________________________

4  Write the following as numerals.

a  Forty-eight thousand three hundred twenty-one

b  One lakh thirty-four thousand six hundred

c  Seventy-eight thousand six hundred ten

d  Nine lakh ten thousand forty-five

5  Write the following numbers in the short form using commas.

a  80000 + 2000 + 300 + 20 + 2

b  300000 + 50000 + 0 + 700 + 50 + 7

c  200000 + 70000 + 3000 + 0 + 60 + 1

d  700000 + 90000 + 6000 + 400 + 0 + 8

6  Compare the following numbers using the symbols >, <, = .

a  64,614 ________ 51,700 b  85,592 81,320

c  48,184 48,157 d  2,18,720 3,14,265

7  Arrange the following numbers in ascending and descending order.

a  46,773; 37,880; 69,573; 42,860 b  25,409; 28,540; 23,752; 24,431

c  64,393; 64,520; 64,905; 64,012

d  8,26,750; 3,58,801; 3,95,701; 93,854

8  Round off the numbers to the nearest 10, 100 and 1000.

Number Nearest 10 Nearest 100 Nearest 1000

a  3429

b  39,887

9  The cost of sarees at a store are listed below. Answer the questions.

Saree 1 Saree 2 Saree 3 Saree 4

₹25,907 ₹97,463 ₹54,768 ₹25,879

a Revanth wanted to buy a saree that cost the least. Arrange the sarees in ascending order of their costs.

b What is the approximate cost of each saree? Round off to the nearest 1000.

10  The table shows the top four online languages:

a  Which language is used the most?

b  Which language is used the least?

c  Write the order of the language from the least to the one used the most. (Hint: Arrange in ascending order.)

11  Create a word problem on ordering four 6-digit numbers.

1 Suhani has six digits: 9, 0, 2, 4, 7, 1. She uses each digit once to make the smallest number with 2 in the hundreds place. What would be the place value and face value of the digit in the thousands place?

2 Write the largest 6-digit number using a minimum of 3 digits that ends with the digit 5 and reads the same, forward and backwards. (For example, 782287).

Worksheet 6: Case Study

Global Population Project

Rahul and Megha are twins and study in the same class. They and their classmates got a project where they had to find the population of countries around the world. The teacher assigned each student some countries and asked them to collect the population data of the assigned countries. The population data collected by Rahul and Megha can be given below. Read the data collected and answer the questions.

Rahul’s Data

1  What is the difference in the place value of 4 in the population of Macao?

Data

2  Which is the most populated country in Rahul’s data?

3  Which is the least populated country in Megha’s data?

4 Combine the data of Rahul and Megha and arrange the countries in ascending order as per their population.

5  What is the population of Fiji rounded off to the nearest 1000?

Worksheet 7: Mental Maths

1  Tick () the correct answer.

a What is the place value of 5 in the number 457,123?

i  500 ii  50,000 iii  5,000

b  What is the face value of 7 in the number 276,981?

i  7 ii   70 iii   7,000

c  The nearest 100 of 789,654 is

i  789,600 ii  789,650 iii   789,700

d  Identify the greatest number: 506,789; 605,987; 506,798; 605,789 i  i. 506,789 ii  605,987 iii   605,789

2 Circle the numbers which cannot be formed using the following digits.

85321

3  Fill in the table.

4 I am a 6-digit number. My first digit is 4. My second digit is half of the first digit. The third digit is twice the second digit. The fourth digit is the sum of the first and second digits. The fifth digit is 3 less than the fourth digit. The last digit is 0. What number am I?

5  Compare using (>, < or =)

Addition and Subtraction

1  Fill in the sum.

2  Find the sum of the following numbers horizontally. a  1239 + 3740 = b  23,423 + 1231 =

3  Find the sum of the given numbers.

5684 + 1234

4  A number exceeds 56,122 by 3411. What is that number?

5  Each shape represents a number as given.

17,803 = 34,618 = 28,671 = 11,190

Find:

6 Prashant is a volunteer at the national animal rescue shelter. He and his team rescued 1000 animals last year. This year, the team rescued 1145 more animals than the previous year. How many animals were rescued in all?

7 A car company produced 45,821 cars, in 2021. It produced 1208 more cars in 2022 than in 2021. How many cars did it produce in 2022? Challenge

1  Complete the addition pyramid.

Worksheet

1 Solve to find the answer.

2  Subtract the given numbers.

5312 – 1101

34,789 – 10,000

28,324 – 19,812

3  Each shape represents a number as given.

38,004 – 19,999

4  What should be added to 13,456 to get 57,801?

5 The Amazon is the largest tropical rainforest in the world. It has around 16,000 different tree species. Out of these around 1600 tree species store carbon in them. How many of them do not store carbon?

6  Create a word problem on subtracting a 4-digit number from another.

Challenge

Critical Thinking

1 Rahul thinks of a number X. Rahul’s friend, Amit, thinks of another number, Y, which is 1234 more than Rahul’s number. If Y is 61,020, then what X?

Worksheet 3: Adding and Subtracting Together

1  Calculate the following.

a  1299 + 8772 – 1001

c  15,679 – 1654 + 20,865

b  1661 + 571 – 1006

d  9283 – 7724 + 882

2  Each shape represents a number as given. = 17,803 = 34,618 = 28,671 = 11,190

Find the value: + –

3 Sarah has `8752 in her bank account. She withdrew `3256 to buy a gift for her grandparents. Then, she deposited `9823 in her account. How much money does Sarah have in her bank account now?

4 Hum, Croatia is the least populated town in the world with a population of 30 people. The population of Werdenberg, Switzerland is 41,284. The population of Norton City, Virginia is 3627. How much more is the population of Werdenberg than the total population of Norton City and Hum?

Challenge

Critical Thinking & Value Development

1 Statement: A public library has 8236 books. A donation of 1534 books was made to the library. Then, a group of citizens made a generous donation of 9712 books to the library. However, during the annual library painting, 672 books got damaged and had to be discarded.

Which of the conclusions is true for the given statement?

Conclusion I: A total donation of 11,246 books was made to the library.

Conclusion II: The library finally had fewer than 18,000 books after the annual painting.

Options:

a  Only conclusion I is true.

b  Only conclusion II is true.

c  None of the conclusions is true.

d  Both conclusions are true.

Worksheet 4: Estimation

1  Round off the numbers to the nearest 100. Find the estimated sum or difference.

a  1245 + 2456

b  2390 + 3789

2  Round off the numbers to the nearest 1000. Find the estimated sum or difference.

a  2390 + 3789

b  23,456 + 56,771

3 2 islands in Canada have areas as given below. What is an approximate total area of both the islands, rounded off to the nearest 1000? Axel Heiberg Island: 43,178 sq. km; Melville Island: 42,149 sq. km

4 Sarah walked 2347 steps in a day. About how many more steps should she walk to complete 10,000 steps? Find the estimated number of steps by rounding off to the nearest thousand. Write one benefit of physical exercise such as walking.

Challenge Critical Thinking

1 Two friends, Zain and Riyan were estimating the sum of numbers by rounding off to the nearest ten thousand.

Zain says the estimated sum of 72,374 and 16,773 is more than the estimated sum of 67,124 and 28,974, while Riyan says that the estimated sum of 67,124 and 28,974 is more. Who is right, Zain or Riyan?

Worksheet

5: Chapter Checkup

1  Solve.

2 Find the estimated and actual sum of 5678 + 1665 when rounded off to the nearest thousand.

3 Find the estimated and actual difference sum of 1835 – 1346 when rounded off to the nearest thousand.

4  Find the sum of 45,223, 12,678 and 16,941.

5  Compute: 81,654 – 53,217 – 2345.

6  Find the sum of the largest 5-digit number and the smallest 4-digit number.

7 The construction company ordered 8327 bricks for one project, and 9912 bricks for another project. Estimate the total number of bricks ordered for both projects, by rounding off to the nearest hundred.

8 The length of the river Ganga is 2520 kilometres, while the length of the Yamuna is 1376 kilometres. Approximately, what is the total length of these rivers combined? About how much longer is the Ganga than the Yamuna? (Find out by rounding off to the nearest 100.)

9 The estimated difference of two numbers C and D when rounded off to the nearest thousand is 4000. Which of the following sets of numbers could be C and D?

a  6790 and 5667

b  7890 and 3889

c  8103 and 4899

Challenge Critical Thinking

1 On rounding off 34,873 to the nearest ten thousand, and 35,289 to the nearest thousand, what will be the sum of the estimated sum and the estimated difference?

2 An online store sold 17,645 pounds of chocolates, and 24,891 pounds of candies last month. While doing the accounting, it was estimated that the total weight of chocolates and candies sold, to the nearest thousand, was more than 40,000 pounds. Is that a correct estimate?

Worksheet 6: Case Study

Forest Conservation

In a small village near a dense forest, the villagers noticed that many trees were being cut down. The local school decided to help by organising a project to plant new trees. They also wanted to keep track of how many trees were saved and how many were planted.

The villagers observed that every week, 1,250 trees were cut down. The school decided to plant 2,750 new trees every week. The students started recording the number of trees cut down and planted over 4 weeks.

Answer the questions.

1  How many trees were planted in total over 2 weeks?

a  4000 b  3000 c  5500 d  2750

2 What is the difference of the number of trees planted and the number of trees cut down over 4 weeks?

a  1500 trees b  6000 trees c  5000 trees d  7500 trees

3 True or False: After 4 weeks, the forest has fewer trees than before the project started.

4 If the village decides to increase the number of trees they plant by 500 each, and the rate of trees being cut down remains the same; calculate the total number of trees in the forest after 4 weeks. How does this change affect the overall forest compared to the original scenario?

Worksheet 7: Mental Maths

1  Complete the table.

2  Fill in the blanks.

a – 7500 = 25,000 b  3450 + = 4070 c  1250 + = 3500 – 750 d  1200 + = 1500 – 40

3 Fill in the pyramid.

If A = 200, B = 15, C = 100 and F = 700

Complete the subtraction pyramid by calculating the values of D, E and F.

a D = F – 500 = b E = A – 50 =

4  Write True or False.

a  4000 + 5000 is more than 9000.

b  The result of 3000 + 2500 is less than 6000.

c  6200 minutes is approximately 100 hours.

d A 6000-minute video and a 5000-minute video combined are approximately 10,000 minutes.

Multiplication

Aligned to NCERT Chapter/s: Ch. 6: The Junk Seller

Ch.11: Tables and Shares

Worksheet 1: Multiplication by 1-digit Number

1 Multiply the given numbers mentally. a  233 × 2 b  622 × 4

c 2001 × 7 d 4011 × 9

2 Find the product by expanding the bigger number. a 313 × 3

802 × 9

c  1002 × 2 d 2908 × 4

3 Multiply using the vertical method. a  193 × 3

563 × 4

4 Look at the value of each shape. Draw shapes to show 3210 × 2. = 10 = 100 = 1000

Challenge

1  Richard thought of a number. Find the number using the hints.

a  The number is the sum of my age and my father’s age.

Critical Thinking

b  My father’s age is 3 times my brother’s age.

c  My brother’s age is 4 more than 3 times 3.

d  My age is 3 years less than my brother’s age.

Worksheet 2: Multiplication by a 2-digit Number

1 Write True or False.

a 1 × 9 = 10 b 7 × 0 = 0

c 3 × 100 = 30 d 7 × 1000 = 7000

2 Use the column method to multiply.

a  73 × 52 b  102 × 40

c  113 × 27 d  589 × 64

3 Complete the given multiplication.

4 Find the product using an quick multiplication tricks. a  81 × 11 b  54 × 21

1 Given below is an incomplete multiplication. Ravi has to use the digits 4, 6 and 8 only once to complete it. What is the highest product he can have? Help him find it!

Worksheet 3: Multiplication by a 3-digit Number

1 Find the product of

2 Find the product.

3 Fill in the missing digit such that both the products are equal. 860 × 150 = 375 × 34

Challenge .................................................................................................................................................................................................................

1 The product of two numbers is 600, and their sum is 50. What are the numbers?

Worksheet 4: Word Problems

1 The entry fee per person at the club is ₹423. A group of 9 tourists visited the club. How much will they pay?

2 Jupiter has 4333 days in a year. How many days are there in 5 Jupiter years?

3 Riti burns 427 calories by jogging every day. How many calories will she burn in January? Do you exercise everyday?

4 All 28 members of the reader’s club are going on a holiday. They have a budget of ₹1,00,000 for the tickets. If one plane ticket costs ₹3879, will the total cost be within their budget?

5 An auditorium has 755 seats. The number of shows run is given in the table below. Read the table and answer the questions.

Numbers of Shows

a What is the total number of people who watched Horror Story in all the shows, if all the seats were occupied?

b What is the total number of people who watched Fun with Mary in all the shows, if 250 seats were unused in each show.

1 In a certain warehouse, there are crates that each contain boxes of small items. The crates are stacked in rows, columns, and layers. There are 213 rows of crates. Each row contains 187 crates. Each crate contains 126 boxes of items.

If 1 10 of the boxes are defective and need to be replaced, how many boxes are not defective?

Worksheet 5: Estimating the Product

1 Find the estimated product by rounding off the given numbers to the nearest ten.

a  235 × 13 b  582 × 84 c  809 × 96

2 Find the estimated product by rounding off the given numbers to the nearest hundred.

a  169 × 74 b  518 × 96 c  874 × 228

3 Find the estimated product of the numbers rounded off to the nearest ten. Also, find the estimated product rounded off to the nearest hundred.

a  109 × 54 b  444 × 777 c  976 × 862

4 The marathon is one of the sporting events in the Olympics. If each of the 110 athletes had to cover a distance of 43 km, estimate (to the nearest 10) the total distance covered by all. Compare the actual and estimated answers.

Challenge

.................................................................................................................................................................................................................

Critical Thinking

1 Rina wants to buy 39 notebooks for her class each costing ₹83. If she goes to the market carrying the estimated amount, will it be enough for her to buy the notebooks? Why or why not? Estimate to the nearest 10.

Worksheet 6: Chapter Checkup

1 Find the product by using properties or tricks.

a 42 × 100

b 54 × 11

c  63 × 21

172 × 300

2 Multiply using the horizontal method. Check the answer by using the vertical method. a  410 × 7 b  844 × 2

c  8023 × 3 d  9101 × 8

3 Find the product by expanding the bigger number. a  564 × 4

492 × 6

c  7397 × 9 d  593 × 7

4 Write the numbers in columns and multiply. a  141 × 84 b  389 × 40

7041 × 33

5 a 893 × 84 (to the nearest ten)

b 768 × 111 (to the nearest ten)

c 143 × 78 (to the nearest hundred)

d 862 × 376 (to the nearest hundred)

6 The Qutub Minar in Delhi, India, has 379 steps. What is the total number of steps climbed by a worker who goes up and then comes down the stairs?

7 Swati runs 750 m every day for 15 days for a fun competition. How far will she run throughout the competition?

8 Ratan deposits ₹4555 in his bank account every month. How much money will he deposit in 12 months?

9 A small town produces 314 kg of waste every day. How much waste do they produce from March to May?

10 There are 24 schools in a town. Each school gets 3 pieces of equipment for the science lab. The cost of each piece of equipment is ₹394. How much does all the equipment cost?

Challenge

1 The vowels are written as even numbers from 0 to 8, and the other letters are written as odd numbers. What is the product of DOG and BE as English letters?

2 Write a multiplication word problem with one 3-digit number and one 2-digit number.

Worksheet 7: Case Study

A Day with an Archaeologist!

An archaeologist is a specialist who analyses artifacts, monuments, and many other things to get insights about our history.

Rakesh is an archaeologist. There are 45 members, including him, on the team.

1 The taxi fare from their office to the railway station is ₹82. If the team required 5 cabs, they spent on cabs.

2 Write True or False.

a The cost of 1 train ticket is ₹450. The cost of 45 train tickets is ₹20,050.

b The cost of a train ticket is ₹450. The cost of 45 train tickets is ₹20,250.

3 The team was supposed to inspect a monument made of stone. Each stone weighs 52 kg. 812 stones were used to construct the monument. What is the total weight of the stones used?

4 The team takes 42 days to study a mural inside the monument. If there are 267 murals that they have to study, how many days will the team need to do it?

5 Rakesh and his team travel 1780 km in a month. Estimate the distance they will travel in 19 months. Estimate to the nearest 100 and 10.

6 Did you like visiting historical places? What should be kept in mind while visiting these places?

Worksheet 8: Mental Maths

1  Tick () the correct option.

a Which of the following is not equal to 1600?

i   40 × 20 ii   40 × 40

b The product of even numbers from 1 to 8 is . i 484 ii 384

c A month usually has 4 weeks. Estimate how many weeks are there in 3 months.

i 12 ii 15

d Anna has 3 boxes with about 120 pencils each. Estimate the total number of pencils by rounding off the number of pencils to the nearest 100.

i 300 ii 360

2  Fill in the blanks.

a When you multiply two numbers, the result is called the . (produce/product)

b Multiplying by 10 always adds a ___________ at the end of the number. (one/zero)

c The product of any number and 1 is always . (one/the number itself)

d When you multiply two even numbers, the product is always . (even/odd)

3  Choose the correct option to complete the given multiplication:

a 200 3000 80 1 3 b 70 100  0 3

i 2000, 300, 8000, 1

ii 3000, 200, 80, 1

iii 9000, 600, 240, 3

4 Calculate the product by rounding off the given numbers. Questions

46 × 19

23 × 14

32 × 27

i 500, 450, 5

ii 500, 350, 0

iii 100, 350, 5

Aligned to NCERT Chapter/s: Ch. 3: A Trip to Bhopal Ch. 11: Tables and Shares (Division)

Worksheet 1: Division by 1-digit Numbers

Write True or False.

a  Dividing any number by zero gives the same number as the quotient.

b  Dividing any number by the number itself gives 1 as the answer.

c  If zero is divided by a number, the answer is always zero.

d  The division rule states: Dividend = Quotient × Divisor + Remainder

Fill in the boxes with the missing numbers.

Divide the numbers. Verify the answer.

1 What must be added to 4587 so that it can be divided by 5 with no remainder?

Worksheet 2: Division by 2-digit Numbers

Find the quotient and the remainder without using long division.

Find the quotient and the remainder.

Fill in the missing numbers.

Divide the numbers and verify the answer.

Round off the bigger number to the nearest 100, and the smaller number to the nearest 10, and find the estimated quotient. a  478 ÷ 97 b  879 ÷ 48 c  2736 ÷ 31

6

Colour the boxes with possible answers that you can get on dividing a 4-digit number by 100.

Challenge ......................................................................................................................................................... Critical Thinking & Value Development

1 Manu has saved ₹5460. He has 6 notes of ₹10, 9 notes of ₹100 and the rest are ₹500 notes. How many ₹500 notes does he have? Do you save the money given to you?

Worksheet 3: Word Problems

A bottle factory produces 644 bottles in 46 days. How many bottles will the factory produce in one day? 1

Ravi collects stamps and pastes them in a notebook. He has a total of 1240 stamps. He pastes 31 stamps on each page. How many pages were used altogether?

A person gets ₹1500 in the month of April. How much money did he get each day if he got an equal amount of money each day?

In the library, there are 8255 books. The books are kept on shelves. If 13 books are kept on each shelf, then how many shelves are there?

A shopkeeper buys 45 packets of candy. Each packet has 45 candies. If he repacks the candies in smaller packets containing 15 candies each, then how many packets will he get?

The municipal corporation ran a drive to plant trees and provide habitats for various species of birds, insects and other wildlife. The total number of trees planted was 4560. If the drive went on for 5 days, how many trees were planted on one day?

Create a word problem on dividing a 4-digit number by a 1-digit number.

Challenge

1 A apartment has 24 floors with 13 rooms on each floor. If there are 12 housekeepers, how many rooms will each housekeeper clean?

Worksheet 4: Chapter Checkup

Find the quotient.

Find the quotient and the remainder.

a  987 ÷ 8 b  945 ÷ 23

c  2129 ÷ 9

Estimate the quotient by rounding off the dividend to the nearest tens.

a  1459 ÷ 4 b  779 ÷ 13

c  8797 ÷ 16

Estimate the quotient by rounding off the dividend to the nearest hundreds and divisor to the nearest tens.

a  489 ÷ 9 b  1548 ÷ 52 c  6987 ÷ 49

A small solar panel generates 108 kilowatt-hours (kWh) of energy in a week. If each household needs 12 kWh per week, how many households can the solar panel provide energy for?

There are 1025 students in a school containing 25 sections. If there is an equal number of students in each section, find the number of students in each section.

A class collected ₹1540 to distribute equally among 14 children of an orphanage. How much money will each child get?

A shopkeeper gets 45 boxes of 19 chocolates each and 53 boxes of 27 chocolates each. He packs all the chocolates in smaller boxes each having 18 chocolates. How many boxes does he pack?

1 A farmer packs 1200 kg of tomatoes equally in two different types of boxes. The weight of one tomato is 100 g. The first type of box has 15 tomatoes each, and the second type of box has 25 tomatoes each. How many boxes in total did he pack?

2 Solve.

a  What should be added to 341 so that, on dividing by 17, we get no remainder?

b What should be subtracted from 7134 so that, on dividing by 26, we get no remainder?

Worksheet 5: Case Study

Let’s Farm!

Agriculture is one of the major industries in India. India has set up a few agricultural universities to help farmers yield more crops. An agricultural university experiments on different varieties of seeds, plants to improve the quality and quantity of the agricultural products.

1 Nisha is doing research on different varieties of oranges. The total number of oranges she produced is 2100. There are 10 varieties in all. How many oranges of each variety did she collect? a  110 b  21

2 The college asks 375 students to create innovative projects to increase the yield of fruits while using less water. The students are divided into 25 groups. Write whether the given statements are true or false.

a  The college will get 25 innovative projects from the groups. _______________________

b  The college will get 15 innovative projects from the groups. _______________________

3 The university decides to sell the excess oranges to the public. Each bag can hold a dozen oranges. There are 1656 oranges. bags are required to pack the oranges.

4 A farmer asks Nisha to give him banana saplings to yield more bananas with less water. He wants to plant 936 saplings in 18 rows. Estimate the number of saplings that each row will have by rounding off the dividend to the nearest 100 and divisor to the nearest 10.

Worksheet 6: Mental Maths

1  Estimate the quotient mentally by rounding off.

a  88 ÷ 13 =

b  93 ÷ 29 =

2  Fill in the boxes with <, > or = sign.

a  100 ÷ 10 10 ÷ 10

b  80 ÷ 5 320 ÷ 20

c  400 ÷ 80 84 ÷ 4

d  60 ÷ 3 30 ÷ 10

e  450 ÷ 10 200 ÷ 2

3  Match the following.

a  100 ÷ 20 10

b  50 ÷ 5 60

c  66 ÷ 11 5

d  300 ÷ 5 100

e  400 ÷ 4 6

4  Find the quotient and remainder mentally.

a  567 ÷ 10: Q = R =

b  703 ÷ 10: Q = R =

c  4805 ÷ 10: Q = R =

d  8030 ÷ 10: Q = R =

Multiples and Factors

Find the first five multiples of the given numbers.

Solve to find.

Find the first six even multiples of 12.

Find the first 2 common multiples of the following pairs of numbers.

a  2 and 3

b  3 and 7

c  2 and 9 d  3 and 5

Challenge

1 I am a multiple of 11 but less than 160. I am an even multiple of 7 too. What number am I?

2 Fill in the given 3 × 3 grid where each cell must contain a unique number from 1 to 9 such that the sum of each row, column and diagonal must be a multiple of 5. 5

Worksheet 2: Finding Factors and Common Factors

Show 24 in different arrangements using circles. Then, list the factors of 24. 1

Find the factors of the following numbers using multiplication.

a  14 b  21

c  36 d  39

Find the factors of the following numbers using division. a  9 b  12 c  15 d  30

Which number between 5 and 15 has the greatest number of factors?

Find the common factors of the following numbers.

a  14, 20 b  16, 18

c  35, 50 d  54, 64

1 Write 34 as a sum of:

a  4 prime numbers b  4 composite numbers

2 Bhanwar Lal is a farmer. He always distributes the first few saplings to the children in his village. He has 36 apple tree saplings and 48 orange tree saplings. He wants to give these saplings to the children in his village. But, he wants to distribute them in a way that each child gets the same number of apple tree saplings, as well as the same number of orange tree saplings. What is the largest number of children he can distribute the saplings to, in an identical manner, without any leftovers?

Worksheet 3: Chapter Checkup

1  Write the first 5 multiples of the given numbers.

7

17 c  18 d  19

2  Write the smallest number which is a common multiple of the given number pairs.

a  2 and 5

b  3 and 8

c  5 and 8 d  4 and 14

3  Find the factors.

a  50 b  66

c  72 d  88

4  Find the following.

a  Multiples of 4 that are smaller than 30.

b  Multiples of 8 that are greater than 30, but smaller than 80.

5  Write the common factors.

a  4 and 8 b  6 and 10

6  Write Yes or No for the following statements.

a  1 and 6 are factors of 7.

c  1 is the smallest and only factor of 31.

e  6 and 9 are factors of 54.

b  61 is a prime number.

d  2 and 4 are factors of 8.

f  Both 91 and 93 are prime numbers.

7 The bells at Church 1 ring after 60 minutes, while at Church 2, they ring after 45 minutes. At what time will the bells at the 2 churches ring together next if both start ringing simultaneously?

[Hint: Find the common multiples.]

8 Megha wants to greet her class teacher with a bouquet made of lilies and roses on her birthday. She went to a florist who sells roses in groups of 5 and lilies in groups of 4. What is the least number of each kind of flower Megha should buy so that she has an equal number of roses and lilies in the bouquet?

[Hint: To know the number of flowers to be purchased, we should look for multiples.]

9 Create a word problem to find common multiples of 2 numbers.

Challenge

1  Identify the number using the hints.

a The number is between 1 and 80.

b It is a multiple of 2 and 3 and a factor of 90.

c The sum of the digits of the number is 9

2 Naina is organising her toys. She has 18 cars and 24 teddy bears. She wants to arrange them into groups with equal numbers of cars and teddy bears in each group. What is the maximum number of toy groups that Naina can create?

[Hint: Look for the biggest common factor!]

Worksheet 4: Case Study

Nikita joined an afforestation NGO that focuses on planting trees to restore forests (reforestation). The NGO also plants trees in designated areas that were previously not forested, which involves selecting appropriate tree species, preparing the land and planting saplings. Read the questions and answer them.

1 The volunteers planted oak saplings on every 3rd day of July and pine saplings on every 4th day of July. On which days of July did they plant both the saplings? Hint: (Find common factors of 3 and 4).

a  6th July and 8th July b  12th July and 16th July

2 The NGO has 20 volunteers and wants to create teams with an equal number of volunteers in each team. Which of the following options do not represent possible team sizes?

a  4 teams with 5 volunteers in each team.

b  2 teams with 10 volunteers in each team.

c  3 teams with 7 volunteers in each team.

d  5 teams with 4 volunteers in each team.

3 The volunteers were instructed to plant a total of 36 trees in a specific area in rows and columns with an equal number of trees in each row and column, what are the possible configurations for the rows and columns?

4 Besides planting trees, in what other ways can we care for the Earth and protect our environment?

Worksheet 5: Mental Maths

1 a Circle the numbers that are multiples of 7.

b Circle the numbers that are factors of 15.

2  Choose the correct answer.

a  Which of the following is a multiple of 3?

b  What is a common multiple of 2 and 5?

i  10 ii  2 iii  15 iv  5

c  Select the option that has all the multiples of 9. i  9, 18, 25, 36 ii  9, 27, 45, 54 iii  18, 27, 36, 50 iv  9, 21, 30, 45

d  Which numbers are factors of 18 and 30

i  1, 3, 6 ii  1, 3, 10 iii  1, 6, 10 iv  1, 6, 15

3 Write True or False.

a  12 is a multiple of 6.

b  Every number is a factor of itself.

c  4 is a common factor of both 8 and 10.

d  15 is a factor of 30.

4 a  I am a multiple of 16. I am also an even number less than and nearest to 65. Who am I?

b  I am a factor of 10 and a multiple of 10. Who am I?

2 Circle and find the number of butterflies in each collection. a 1 3 of the collection = butterflies. b 4 9 of the collection = butterflies. c 7 9 of the collection = butterflies. 3 Find.

5 Manya made an apple pie. She divides the apple pie into 10 equal slices and eats 5 of them. What fraction of the apple pie was eaten by Manya?

6 There are about 50 snow leopards in Uttarakhand, India. If there are half the number of snow leopards in Sikkim as in Uttarakhand, then how many snow leopards are there in Sikkim?

Challenge

Worksheet 2: Equivalent Fractions

1 Prakhar decided to distribute rice bags at an old-age home and blind school on his birthday. He distributed 3 5 of the rice bags at the old-age home. Then he gave 5 8 of the remaining bags to the blind school. If Prakhar had 40 rice bags initially, then how many rice bags were left with him? Shade the second figure to make

Write four equivalent fractions for each of the given fractions.

Write the fractions in their simplest form.

Fill in the missing numerator or denominator in each of these equivalent fractions.

Circle the fractions that are in their simplest form.

Pandas are fascinating creatures with many unique characteristics. They spend most of their day sleeping. A panda sleeps for 7 12 of a day, eats for 1 3 of a day and does other activities for 1 12 of a day. Represent the number of hours dedicated to each activity by shading a grid accordingly.

1  Look at the pattern. Identify the fraction that is not part of the pattern.

6 11 , 12 22, 18 33, 26 44, 30 55, 36 66

Worksheet 3: Like and Unlike Fractions

1 Name the fractions as like or unlike.

2 Compare the fractions and put the <, > or = sign in the box.

3  Circle the smallest fraction in the group. a 3 9 , 6 9 , 1 9 , 5 9 , 2

4  Arrange the fractions in ascending order. a 8 9 , 4 9 , 3 9 , 6 9 , 1 9 , 7 9

5 The water content in apples, bananas, oranges and watermelons is 84 100, 75 100, 87 100 and 92 100, respectively. Arrange the fruits according to their water content in descending order.

Challenge

1 Rajiv ate 5 8 of an apple pie, while Arti ate a few slices out of some other apple pie, which had 9 equal slices. What could be the maximum number of slices that Arti ate such that she ate a smaller amount of apple pie than Rajiv?

Worksheet 4: Proper and Improper Fractions

1 Sort the given fractions as proper, improper and mixed.

2 Convert the improper fractions into mixed numbers.

3  Convert the mixed numbers into an improper fractions.

a  5  1 3 b  2  5 8

c  7  2 6 d  4  1 9

4  Simplify the fractions. a 6 3 b 24 8 c 30 6 d 36 9

5 Susan had 1  3 4 of the cake. Write the amount of cake Susan has as an improper fraction and represent the improper fraction and the mixed number using circles.

6  Create a word problem to convert a mixed number to an improper fraction. Challenge .................................................................................................................................................................................................................

1 If 2  1 3 is equivalent to 21 9 then what will be the equivalent of 1  1 4 ? (Apply the same rule)

Worksheet 5: Adding and Subtracting Like Fractions

1  Shade the second figure to make it equivalent to the first figure.

2  Subtract.

3  Ria has 1  5 8 m of cloth. She used 7 8 m to cover a chair. What length of cloth does she have left?

4 Manya had 1 2 8 packets of cookies. She ate 7 8 packets of cookies. What fraction of cookies is she left with?

5 Create a word problem on the addition of fractions.

Challenge ................................................................................................................................................................................................................. Critical Thinking

1 Jeeshan, Raghav, Animesh and Priya had pizzas with them. The total combined pizza with all of them was 1  7 12  . Jeeshan had 3 12 of a pizza. Raghav had twice as much as Jeeshan’s fraction. Animesh and Priya had equal fractions of pizza. Determine the fraction of pizza each person had.

Worksheet 6: Chapter Checkup

1 Shade or draw the fractions. a 5 9

2 Find the fraction of a collection of objects.

a 1 6 of 18 flowers b 1 3 of 27 cakes

3  Write four equivalent fractions for the given fractions. a 5 6 b 7 8 c 3 9

4  Complete the equivalent fractions.

5  Reduce each fraction to its simplest form.

6  Compare the fractions and put the < , > or = sign in the box.

7  Arrange the fractions in ascending and descending order.

a 8 11 , 4 11 , 3 11 , 6 11 , 1 11 , 7 11 b 4 17 , 8 17 , 2 17 , 9 17 , 3 17 , 15 17

8 Convert the mixed numbers to improper fractions and the improper fractions to mixed numbers. a 16 3 b 26 5 c 32 6 d 53 4

9 Add. a 2 5 + 1 5 b 3 8 + 7 8 c  3 3 6 + 1 2 6 d  4  1 9 + 3 4 9

10  Subtract.

a 5 8 –4 8 b 9 11 –5 11

11 On Sunita's birthday, her mother was baking a cake for her. She cut the cake into 20 equal pieces. Sunita distributed 3 5 of the pieces among some poor children. How many pieces did Sunita distribute?

12 Anuj, a shopkeeper, got a contract to deliver rice at a party venue. He had 28 kg of rice. He delivers 5 7 of the rice. How much rice does Anuj have left?

13 Most frogs can jump from 10 to 20 times their body length. A frog took two jumps. The first jump was 2 9 m long, and the second jump was 3 9 m long. How far did the frog jump in total?

14 Sudha has 2 5 of 50 rupees, and Ravi has 1 2 of 50 rupees. Who has more money?

15 A farmer has 56 cows. 3 7 of them are grazing in the field, and the rest are in the barn. How many cows are in the barn?

Challenge Critical Thinking

1 Is the fraction 12 16 is equivalent to the fraction shown in the figure? Shade another equivalent fraction for the given figure.

2 Look at the number puzzle. The sum of the fractions in each row, column and across the diagonals is 15 17 . What is the sum of all the missing values?

Worksheet 7: Case Study

Land Distribution Across the Continents

The total area of land on Earth is unevenly distributed among its seven continents. Each continent has its share of human population, and resources like coal, oil, crops, etc. In order to use these resources well and distribute them evenly amongst the world population, we need to learn to manage them well.

Read the table on the land area of the continents and answer the questions.

1 Which continent has the largest land area? Use equivalent fractions to compare.

a  Asia

b  Europe

c  Africa d  Australia

2 Which continent has the least land area? a  Europe b  North America

c  Australia d  Antarctica

3  Arrange the continents in the ascending order of their land areas.

4 What is the difference between the land areas of North America and South America?

5 How can continents with larger land areas (e.g., Asia and Africa) utilise their resources better to support both their populations and the global community?

Worksheet 8: Mental Maths

1 Multiple choice questions.

a The sum of 12 3 + 5 3 = ?

c 1 3 of 9 cupcakes is cupcakes.

2  Fill in the blanks.

a  The simplest form of 25 100 is .

b 13 7 is (greater/smaller) than 8 7

c 16 10 converted to mixed fraction is .

a  If you add 1 5 and 2 5 , you get 3 5

b  Subtracting 2 7 from 5 7 results in 3 7

c 3 6 and 1 2 are not e equivalent fractions.

4 a A fruit basket contains 12 apples. If 1 4 of the apples are red in the basket, how many red apples are there? apples

b You have a game that is 2 4 completed. If you complete 1 4 more, the total game completed is

5 Find the missing numbers.

a 1 3 = 9 b 27 36 = 9

Lines and 2-D Shapes

State whether the following statements are true or false.

a  A ray has no end points.

b  A line has 2 end points.

c  Only one line can pass through a point.

Name the given figures as point, ray or line.

Name the points, rays and lines in the given figure.

Points:

Rays:

Lines:

The light emitted by stars is an example of rays and cross roads are an example of intersecting lines. What type of lines are the zebra crossings?

Identify sets of lines that appear to be parallel or intersecting.

1 How many pairs of parallel lines do you see in this structure?

Worksheet 2: Line Segments

Measure the length of the highlighted edges of the objects using a ruler.

Edge of the book = cm

Edge of the deck of cards = ___________ cm

The figure consists of line segments. Determine the length of each segment.

Look at the two pencils.

Tina’s pencil:

Sheena’s pencil:

What will be the total length of the two pencils? Measure the length of your pencil and draw the same length of pencil in the given space.

Use a ruler to draw line segments of the lengths given.

Anu draws a line segment of length 6 cm. Jiya draws a line segment which is 4 cm more than Anu’s. What is the length of Jiya’s line segment? Draw both the line segments.

1 Ratna is trying to draw the longest possible line segment in the given grid. Which points should she connect?

Worksheet 3: Classifying Figures and Shapes

Sort the following shapes as open or closed figures.

Sort the following im s simple figures or non-simple figures.

Categorise each of the following figures as simple closed, non-simple closed, simple open or non-simple open.

Write if true or false.

a  All simple closed shapes are polygons.

b  A shape that crosses itself is not a simple closed shape.

c  A polygon can be formed with two lines.

d  A hexagon has 7 sides.

Write 3 letters from the English alphabet that are closed figures?

Draw any 2 simple figures and 2 non-simple figures.

Draw the following polygons.

1 How many polygons do you see in the given figure? Write the number of each polygon and name them.

Worksheet 4: Circles and Their Parts

Fill in the blanks.

a  Every point on the boundary of circle is at the same distance from the .

b  All the radii of a circle are in length.

c  A circle can have a/an number of diameters.

d  The length of the boundary of a circle is called its .

e  A circle has only centre.

Draw a circle with centre O and label its centre, radius and diameter.

Choose the correct answer.

a  A circle with a diameter of 10 cm is drawn. What will be its radius?

i  20 cm ii  4 cm iii  5 cm iv  6 cm

b  A diameter divides a circle into equal parts.

i  3 ii  2 iii  4 iv  8

c  What is the relation between the radius (R) and diameter (D) of a circle?

i  R = 2 × D ii  R = 2 D iii  D = R 2 iv  R = D 2

Construct circles of the given radii. a  2 cm b  5 cm The diameter of the planet Mars is 6780 km. What is its radius?

1 A is the centre of Circle 1. B is the centre of Circle 2. What is the relation between the radii of the 2 circles?

Worksheet 5: Chapter Checkup

Tick () the correct answer.

a  AB represents a i  ray ii  line segment iii  line iv  point

b  A dot made with a pen is an example of a i  circle ii  polygon iii  point iv  ray

c  How many line segments are there in the figure? i  10

d  An octagon has line segments. i  10

Which of these letters and numbers are examples of closed, open, simple, or non-simple figures.

Write the names and number of sides of the following polygons.

a Name: No. of sides:

b Name: No. of sides:

c Name: No. of sides:

Contruct circles of the given measurements.

a  diameter = 4 cm

b  radius = 4 cm

Mary is standing at point A. She wants to get to point B by choosing the shortest route. Which route should she take?

Surbhi wants to buy some stationery. Find the shortest distance she has to travel, if the shop is located at the other end of the park as shown in the image.

Challenge

1 Find the distance between point A and D in the figure. Given that AB = 12 cm and OP = 4 cm.

Surbhi’s house Stationery shop

2 Read the assertion and reason and choose the correct option.

Assertion: Ansh is running around a circular field. The distance from the centre of the field to its boundary is 16 m. The diameter of the field is 32 m.

Reason: The diameter is half the radius.

Options:

a  Both A and R are true and R is the correct explanation of A.

b  Both A and R are true but R is not the correct explanation of A.

c  A is true but R is false.

d  A is false but R is true.

6: Case Study

The Track and Field Relay Race

In a school's annual sports meet, an event of the Track and Field Relay Race is organised. This relay race involves teams of four runners each, passing a baton to the next runner in line. The track for this race is a set of concentric circles, with each team starting at different positions along the circles. Answer the following questions:

1  How would you describe the shape of the track used in the Track and Field Relay Race?

a  Square b  Circle c  Rectangle d  Triangle

2 In the Track and Field Relay Race, why do teams start at different positions along concentric circles?

a  To make the race more challenging

b  To ensure fairness and equal distance

c  To confuse the runners

d  To reduce the number of laps required

3  Draw 2 concentric circles of radius 3 cm and 4 cm in your notebooks.

4  Why are sports important in our lives?

Worksheet 7: Mental Maths

1 Multiple choice questions.

a Which figure has the most number of line segments?

i Triangle ii Square iii Pentagon

b Which is an example of ray?

i A torch light ii An electric pole iii A bamboo stick

c Which of these has 7 line segments?

i Hexagon ii Heptagon iii Pentagon

2 Fill in the blanks.

3 Write True or False.

a The letter E is a simple curve.

b The number 4 is a closed curve.

c The letter Q is an open curve.

4 Solve:

a If diameter = 4 cm, radius is cm.

b If radius = 5 cm, diameter is cm.

5 Answer these questions.

a If you draw a line segment from point A to point B, and it's 5 centimetres long, how many centimetres will it be if you draw it from B to A?

b If you have 4 rays, how many end points are there in total?

c How many curved lines can you draw between 2 points if each line takes a different path?

Representing 3-D Shapes

1 Tick () the correct view that is seen in these pictures.

Observe each imag ntify the view.

1 Look at the figure and answer.

a  How many candles will be seen in the top view?

b  How many candles will be seen in the front view?

c  How many candles will be seen in the left-side view?

Worksheet 2: Nets of 3-D Shapes

1  Tick () the nets of a cube.

2  Which of the following are NOT the nets of a cuboid?

3  Match the cubes/cuboids with their nets.

4  Draw the net of the following shapes.

1 Opposite faces on a dice add up to 7. Fill in the net of the cube with dots to make a dice.

Worksheet 3: Maps

1 How many times does Meera turn left if she walks to school along the path shown?

2 Write True or False.

a  Suhani’s house is on the second road.

b If Kavita steps out of her house on to the first road, the bank will be to the left of her house.

c The post office is the nearest place to the factory.

d  The restaurant is in front of the park.

e  To reach the factory, one has to go on to the second road.

3 Look at the map shown and fill in the blanks.

a If Rani is on Mall Road facing Rose Street, the police station will be to her .

b  Sam’s house is on road.

c  The restaurant is in front of house.

d is at the centre of all the roads.

e  Sam’s house is in front of park.

4 Suraj is standing outside the pharmacy shown by the red mark. He wants to reach the bank. Write the possible route to reach the bank.

5 The first fire truck service was started in Bombay in the year 1803 by the Police Force. The given map shows the way to a burning house the fire truck can take. Which road will the fire truck NOT cross to reach the burning house?

6 Draw a map showing the way from your classroom to the library.

Challenge Critical Thinking

1 Mohan wants to reach the bus stop from his house. Follow the directions below and draw a map.

a  Walk straight from the house and turn right.

b  Walk straight for 100 m, you will reach a supermarket.

c  Cross the road and walk left.

d  Turn right and walk for 100 m. You will reach the bus stop.

Worksheet 4: Chapter Checkup

1 Tick () the correct view.

2 Draw the top view of the objects.

3 Circle the objects that look the same when looked at from the side or front views.

4 Which side would be opposite to the purple side when the net is folded to make a box?

5 Draw the net of the following figures.

6 See the net on the side. Colour the net in such a way that the opposite sides of the cube have the same colour.

7 Observe the map and answer the questions.

a There are 3 houses on the map. Whose house is the farthest from the school?

b Whose house is not opposite to Anand Garden?

c How many roads meet at the Central Chowk?

8 Draw the map from your house to the school. Mention 3 places or shops on the way.

Rita's house

Mohit's house

Mina's house

Bus stop

Railway station

School

Central Chowk

Anand garden Market

Bus stop

1 Arrange A, B, C and D so the car reaches the house. Draw to show your answer.

2 Shown are three views of a cube and 6 faces of the same cube.

Design this cube using the net below. There can be more than 1 correct answer.

Worksheet 5: Case Study

Let’s Visit Sikkim!

is a famous tourist place in India. Below is a rough map of some places in Sikkim.

Sikkim

Nathula Pass Tsomgo Lake

Chogyal Palden Thedyp Memorial

Ropeway Point

Assembly House

Police Check Post

1 Draw the direction from Assembly House to reach Nathula Pass.

2 Write True or False.

a  Nathula is in the left direction from Tsomgo Lake.

b Chogyal Palden Thedyp Memorial Park is between the ropeway point and the assembly house.

3 A flower pot in Chogyal Palden Thedyp Memorial Park is in the shape of a cube. Draw the net of the pot.

4 David is standing at the police check post facing the assembly house. On what side does the ropeway point to David?

Worksheet

6: Mental Maths

1 Write whether it is a front, top, or side view.

2  Mark top, front and side views of the given image.

3 Place an extra square to make it net of a cube.

4   The figure below shows the net of the shape .

5 State whether the following are True or False.

a Giraffes are on the right side when you enter through the gate.

b  Elephants are in front of you when you enter the gate.

c After entering the gate, take right to reach crocodile.

Patterns and Symmetry

Worksheet 1: Extending and Creating Patterns Aligned

Ch.10: Play with Patterns

Ch. 9: Halves and Quarters

1 Extend the pattern by drawing 2 more shapes.

2 Observe how the figures are rotating. Extend the pattern by drawing the next two units.

3 Draw the picture that comes next in the pattern.

4 Use these shapes to create a growing pattern of your own.

Challenge

Critical Thinking & Art Integration

1 The given figure is rotated as shown by the arrows. Draw the figure that will replace the question mark.

Worksheet 2: Number Patterns

1 Complete the pattern. a  10, 30, 50, 70, , b  13, 26, 39, 52, , c  84, 74, 64, 54, , d  1, 2, 4, 7, 11, ,

2 Complete the number tower. Colour the block having the largest number.

3 Use numbers from 1–9 to fill in the magic triangle so that each line adds up to 12.

1 Fill in the squares, so that each line adds up to 26.

Worksheet 3: Tiling Patterns and Tessellations

1 Write 'Yes' if the pattern is a tessellating

2 Complete the following tessellations.

3 Count and name all the shapes in the following tangram.

4 Create a tessellating pattern.

Challenge

Critical Thinking & Creativity

1 Can you use this block to create a tessellating pattern? If this block can’t tessellate on its own, modify it (cut, add pieces) to make it a tessellating block. Then, design a pattern using your new block!

Worksheet 4: Coding and Decoding Patterns

1 Refer to the letter-digit code table where 1 is A, 2 is B, C is 3 and so on. Decode the following sentences. Create one sentence on your own using the code.

a  Go to (19-3-8-15-15-12)

b  Find the (17-21-9-26)

c  Click quiz now (1-20-20-5-13-16-20)

d and answer the question (18-5-1-4)

2 Using the letter-digit code given in Q1, write the codes for the following messages the students created for Environment Week.

a KEEP IT UP b SAVE WATER

c PLANT TREES d FANTASTIC WORK

Challenge

1 In a certain coding system, CAMEL is coded as 25106, and LION is coded as 6793. How will you code NAME in this coding system?

Worksheet 5: Symmetry and Reflections

1 Are the given figures symmetrical along the lines marked? Write Yes or No.

2 Draw the line of symmetry for each of the following figures, wherever possible.

3 Write the letters of the English alphabet and find out which of them are symmetrical. Also identify the type of line of symmetry they have.

4 Draw the reflection of each of the shapes.

1 Use the line of symmetry to complete the missing part of the pattern.

Worksheet 6: Chapter Checkup

1 Complete the following pattern by drawing two more shapes.

2 Follow the instructions as given. Does the dotted line on each shape represent a line of symmetry? Write Yes or No. a b c d

3 Complete the number pattern.

a  110, 130, 150, 170, _, , b  111, 122, 133, , , c  890, 780, 670, 560, , , d  140, 131, 122, 113, , ,

4 Understand the code and complete the pattern.

1 3 5 7 9 11 13 15 17

Write the following words using the code in the above table:

a  BEST WISHES

b  PLANT A TREE

c  SAVE PAPER

d  RECYCLE

5 Draw the shapes following the vertical line of symmetry. The first one is done for you.

6 Reflect each of these shapes over the dotted lines.

7 Meenakshi uses her bangle to make a perfect circle. She wonders how many lines of symmetry there are in a circle. Can you help her find out?

8  Create your own code using any rule. Ask your friends to decode the code.

Challenge

1 Imagine planting a garden where each row's flowers follow a sequence: the first and the second rows have 1 flower each, the third row has 2 flowers, the fourth row has 3 flowers, the fifth row has 5 flowers and so on. If you continue this pattern, how many flowers will be there in the 6th row?

2 What will be the correct letter code for the shape or pattern given at the end of the line?

AB XZ LB XB ?

Worksheet 7: Case Study

Imagine, Mr Jones, your neighbour is blind. He uses Braille to study. Braille is a special code used by people who are blind or visually impaired to read and write. Braille uses raised dots in a rectangular cell to represent each letter, number and symbol.

Answer the following questions:

1  How many raised dots are there in Braille to represent the letter “d”?

a One b Two

c Three d Four

2  How many dots are used to form each Braille character?

3  True or False: The Braille system is used only for writing numbers.

4 Suppose a friend visited Mr Jones and left their name as a coded message using Braille dots on a piece of paper. Each dot feels like a small bump. Hereʼs the message: What is the name of the friend?

5 You notice Mr Jones struggling to cross a busy road. How can you help Mr Jones safely cross the street?

Worksheet 8: Mental Maths

1  Extend the pattern by drawing 2 more shapes.

2 Study the pattern and match the following to find the next number in the pattern.

a 20, 26, 32, 38   55

b 98, 86, 74, 62   17

c 11, 22, 33, 44   50

d 57, 47, 37, 27

e 82, 78, 74, 70

3

Refer to the letter-digit code table. Decode the following words given below.

a 63-72-36-45 =

b 9-36-72-90-63 =

c 45-36-63-72 =

4 Circle the tessellating pattern.

a b c d

5 Draw all the possible lines of symmetry for the given figure. How many lines of symmetry are there?

Length, Weight, and Capacity

Aligned to NCERT Chapter/s: Ch. 2: Long and Short

Ch. 7: Jugs and Mugs

Ch. 12: How Heavy? How Light?

Worksheet 1: Measuring Length

1 What would you use to measure the length of these objects—a ruler or a measuring tape?

a  A grain of rice

c  Length of a dining table

b  The height of a door

d  Width of a book

2 Look at the pictures and write how long these objects are in centimetres (cm) and millimetres (mm).

a b

3 Express as directed.

a  9 m into cm

b  1200 cm into m

c  1520 cm into m and cm

d  13 km into cm

4 Express in kilometres and metres.

a  1400 m b  1600 m

c  2200 m d  1336 m

5 Ramanʼs uncle drives 2 km to the office every day. How much distance (in metres) does he cover when driving to the office and back?

6 A leopard is about 2 m 10 cm in length, and a tiger is about 3 m 60 cm in length. Write their lengths in centimetres.

Challenge Critical Thinking

1 Imagine a race between a 5-centimetre-long caterpillar and a 10-centimetre-long earthworm. The race trackʼs length equals the total length of both creatures. How much longer is the total length of the track compared to the caterpillarʼs length? Also, if the caterpillar walks at a speed of 2 millimetres per second, how long will it take to complete the race track?

Worksheet 2: Measuring Weight

1 Look at the picture and write the weight of the objects in kilograms (kg) and grams (g).

a b c

2 Change to grams (g).

a  3000 mg b  7000 mg

c  10,000 mg d  2467 mg

3 Change to kilograms (kg).

a  5000 g b  4500 g

c  6557 g d  9782 g

4 Change to milligrams (mg).

5 g

4 g 102 mg

15 g 770 mg

5 Change to grams (g).

17 kg

10 kg 500 g c  5 kg 10 g

15 kg 25 g

6 By the time a puppy is about 3 months old, it weighs about 4 kg. What is its weight in grams?

7 A vegetable seller sold 145 kg 500 g of onions today. If the price of 1 kg of onions is ₹30, what is the total earning of the vegetable seller today on the sale of onions?

1 There are 6 boxes of marbles with each weighing 600 g. All the marbles in those 6 boxes have been divided equally among 36 children. What would be the weight of marbles that each child gets?

Worksheet 3: Measuring Capacity

1 Look at the pictures and write the amount of liquid in these measuring jugs.

2 Change from millilitres (mL) to litres (L). a  3500 mL b  5000 mL

c  10,500 mL d  17,000 mL

3 Express the capacity in litres (L) and millilitres (mL). a  7650 mL b  8235 mL

4 A tea cup holds 100 mL of tea. How much tea is required to fill 6 such cups?

5 Coco is helping her mother by filling bottles to store in the fridge. She fills 3 water bottles each having a capacity of 2 litres. How much water did she use to fill all three?

Challenge

................................................................................................................................................................................................................. Critical Thinking

1 A vendor selling oil has only a 3 L and a 5 L measuring jar. How will he measure 4 L of oil for a customer?

Worksheet 4: Chapter Checkup

1 Convert as directed: a  into metres (m) and centimetres (cm)

i  205 cm ii  507 cm

b  into kilometres (km) and metres (m)

i  1205 m ii  5763 m

2 Express the following weight in kilograms (kg) and grams (g).

a  5065 g b  4600 g c  7450 g d  10,500 g

3 Convert the given weights into grams (g).

a  2kg 500 g b  4 kg 600 g

4 Express the capacity in litres (L) and millilitres (mL).

a  7200 mL b  8660 mL

5 From 1 L of milk, mother gave 350 mL to me and 175 mL to my brother. How much milk was left?

6 2 jars of cooking oil have a capacity of 3 L each. Tara pours the oil out of these 2 jars into smaller jars each with a capacity of 500 mL. How many smaller jars does Tara use?

7 The price of 1 kilogram of sugar is ₹60. Find the price of sugar for the weights given.

8 Imagine you went on a trip to the moon. Here on earth, you weigh 60 kg. The weight of a person on earth is 6 times the weight on the moon. What would be your weight on the moon? Would you feel lighter, heavier or the same?

9 You have a seesaw and two buckets. In one bucket, you place 5 rocks, each weighing 100 grams. In the other bucket, you add sand until the seesaw balances perfectly. If you estimate that there are 20 grams of sand in each handful, how many handfuls of sand did you need to add to balance the weight of the rocks?

1 Meira, a healthcare provider in a village, has 4 litres of hand sanitizer in her clinic. There is a request for four 500 mL bottles, five 200 mL bottles, and twelve 100 mL bottles of sanitizer for the village. Does she have enough?

2 Read the statements and tick the correct option.

Assertion (A): A 1-kilogram bag of rice weighs more than a 500-gram bag of sugar.

Reason (R): 1 kilogram is equal to 1000 grams.

a  Both A and R are true, and R is the correct explanation of A.

b  Both A and R are true, but R is not the correct explanation of A.

c  A is true, but R is false.

d  A is false, but R is true.

Worksheet 5: Case Study

Ancient India's Length Units

Ancient India had a rich history of measurement system. The people of ancient India used various units to measure length, which was essential for various purposes, such as construction, trade, and daily life. Here are some key units of measurement used in ancient India:

Angula (Finger breadth): A basic unit of length.

Hasta (Hand): Approximately equal to 24 angulas.

Dhanus or Danda (Rod): Approximately equal to 96 angulas.

Answer the following questions:

1 One hasta is equivalent to how many angulas?

2  How many angulas are in 7 hastas?

3 If the height of a sand castle is 2 hastas, how many angulas is it?

4 If the width of a sand castle is 3 hastas, it is equal to 72 angulas. (True or False)

5  How many hastas is equal to 1 Dhanus or Danda?

Worksheet 6: Mental Maths

1  Fill in the boxes using <, > or =.

a 3 kg 500 g 3500g b 72500 mL 725 L

c 650 cm 65m d 43 L 430 mL

e 2000 m 2 Km

2  Write True or False.

a If Alia walks 1 km 200 m to school and back every day, she walks a total of 2400 m each day.

b A sack of potatoes weighs 5 kilograms. If Raj buys 3 sacks, the total weight is 25,000 g.

3 A marathon is 48 km long. If Dhruv runs 12000 m each day, how many days will he take to complete the marathon?

a 3 days b 4 days c 5 days d 6 days

4  Solve.

a 450 g + 550 g = kg b 1 kg + 5 kg = g

c 4000 g – 2000 g = kg d 8 kg – 3 kg = g

Perimeter and Area 1 1

Worksheet 1: Perimeter Aligned to NCERT Chapter/s: Ch. 13: Fields and Fences

1 Use a piece of thread and a ruler to measure the perimeters of the given figures. Which figure has the longer perimeter? Figure X Figure Y

2 Find the perimeter of the following figures, where 1 unit = 1 cm. a b c

3 Look at the figures. The length of the side of each shape is given. Find their perimeters.

4 The perimeter of each figure is given. Find the length of the missing sides in each figure.

Perimeter = 32

5 Find the perimeter of each of the following figures.

6 Seema's mother runs a tailoring shop. Seema helps her mother by sewing borders for different covers. They received an order to customise 3 pillows covers of length as shown in the figure. What length of sewing thread should Seema buy from the market?

1 Draw 2 shapes with perimeters of 22 cm and 24 cm.

Worksheet 2: Area

1 Find the area of these figures. 1 side of the square = 1 unit. a b c

2 The figures below have some fully and some partly covered squares. Find the area of these figures, where the side of each square = 1 unit.

3 To teach the importance of a balanced diet, Schools A and B planted a vegetable patch in their schools. They also constructed a playing field for various outdoor sports, as playing is a natural way to reduce stress and anxiety. Look at the area of the fields and answer the questions. Here, the side of each square = 1 unit.

a  Find the area of the playing field in School A.

Vegetable patch

b  Find the area of the vegetable patch in School B.

Playing field School A

Playing field Vegetable patch School B

c  Which school has the bigger playing field?

4 Create two figures on a square grid having the same area but different perimeters.

1 a  How many rectangles can you draw with an area of 12 sq. units?

b  Draw and find their perimeters as well. Is the perimeter the same as the area?

Worksheet

3: Chapter Checkup

1 Find the perimeter of each shape in units. Which shape has a smaller boundary?

2 Fill in the blanks.

The perimeter of figure A is cm. The perimeter of figure B is cm.

The perimeter of figure C is cm.

Figure _____ and figure have the same perimeter.

3 Find the perimeter of each of the given figures.

4 Find the length of the missing side.

5 Each of the figures have 1 unit squares. Find the area and perimeter of each figure and answer the questions.

a Figure and figure have the same area but different perimeters.

b Figure and figure have the same perimeter but different areas.

c Figure and figure have the same area and perimeter.

6 Find the area of the given shapes. a b

7 Draw two different shapes, each with an area of 8 sq. units.

8 Add squares to the shape given on the right to make it into a square. What is the area of the square?

9 Manya drew an owl on square grid paper for her art and craft activity. What is its area if the side of each square is 1 unit?

1 How many rectangles can you draw with a perimeter of 20 units? Draw and write the side lengths.

2 Divide the 5 × 5 cell into equal areas using different coloured pencils such that each area has one dot inside it.

Worksheet 4: Case Study

Mr Sharma’s Dream House

Mr Sharma has purchased a new flat. The architect gave the layout of the flat on a square grid, so that the interiors can also be finalised. Look at the layout and answer the questions, considering the length of 1 square = 1 metre.

1 Mr Sharma wants to carpet his living room. How many square metres of carpet does he need to order?

a 24 square metres

b 44 square metres

c 28 square metres

d 40 square metres

2 Mr Sharma plans to install an electrical wire around the roof of the kitchen for lighting. How many metres of electrical wire will he require?

a 28 metres b 22 metres c 30 metres d 24 metres

3 Mr Sharma wants his parentsʼ room to be the biggest in the house to ensure their comfort. Which bedroom should be given to his parents?

4 Which portions of the house have the same perimeter and area?

5 Create the layout of a flat having the same area as the above flat.

Worksheet 5: Mental Maths

1  Perimeter of the is 17 cm.

2  Fill in the blanks.

Aahan has two balls, as shown below. The area of the ball is smaller than the area of the ball.

3 A farmer has split his field into two sections for cultivating flowers and vegetables, as shown in the figure. Indicate whether the following statements are True or False.

a The area of the flower garden is more than the area of the vegetable garden.

b The perimeter of the flower garden is more than the area of the vegetable garden.

Flower Garden

Vegetable Garden

Basketball

Rugby ball

4 Circle the shapes with same area.

5 Choose the correct answer.

a The amount of ribbon required to border the photo frame is .

i 25 cm ii 50 cm

iii 40 cm iv 35 cm

b The amount of lace required to border the cloth is

i 20 m ii 10 m

iii 25 m iv 15 m

Aligned to NCERT Chapter: Ch.4: Tick-Tick-Tick

Worksheet 1: 12-hour Clock

1 Write the time in a.m. and p.m. One is done for you a  Evening 5 o’ clock - 5:00 p.m. b  At 10:00 in the morning -

c  At 04:30 in the afternoon -  d  At 10:00 in the night -

2 Read and write the time on the given clocks. a

3 Akhil goes for his football practice at 11:30 in the morning. How will you write the time using a.m. or p.m.?

4 Write the time one hour before the time given. a  12:30 p.m. -  b  03:15 a.m. -  c  12:59 a.m. -  d  07:44 p.m. -

5 Draw the hands of the clock for the given times.

6 A Gurudwara is a place of worship for the Sikhs. Isha goes to volunteer at a Gurudwara at 10:30 a.m. and comes back 2 hours later. Write the time when Isha comes back as a.m. or p.m.

1 Use the clues to find the correct time from the 8 options. I am between 8:30 in the morning and 2:30 in the afternoon. My number of minutes is odd. I am closer to 5:30 p.m. than to 5:30 a.m.

What time am I?

Worksheet 2: 24-hour Clock

1 Change the time into 24-hour time.

2 Change the time into 12-hour time.

3 The International Space Station completes one orbit around the Earth every 90 minutes. If it starts its orbit at 4:30 a.m. in the 12-hour clock format, what time would it finish in the 24-hour clock format?

4 The Rajdhani Express is a high-speed train service in India. It departs from the New Delhi Railway Station at 16:55 hours and arrives next day at the Mumbai Central Station at 8:35 hours. Write its schedule in the 12-hour clock format.

5 The flight from New Delhi to Goa departs at 14:45 hours. The boarding pass will be given 2 hours before departure. At what time will the boarding passes be given by a 12-hour clock?

1 Samaira is video chatting with a friend in London who uses a 24-hour clock. Her call starts at 20:00 hours in India. If London is 5 hours 30 minutes behind, what time will it be for her friend? Since London is behind, is it already night time for her friend too, or is it still day?

Worksheet 3: Elapsed Time

1 Change minutes to hours and minutes. a  340 minutes b  450 minutes

c  560 minutes d  675 minutes

2 Change hours to minutes. Then, compare and write the appropriate symbol ( >, = or < ) in the blanks.

3 Find the duration between the times.

a  12:00 noon to 12:30 midnight b  05:06 p.m. to 10:55 p.m.

c  14:25 hours to 20:45 hours d  10:15 hours to 23:30 hours

4 When India gained independence on August 15, 1947, the oath-taking ceremony of the first Prime Minister, Jawaharlal Nehru, began at 9:40 a.m. If the ceremony lasted for 2 hours 15 minutes, at what time did it finish?

5 A doctor starts his patient visits at 10:15 a.m. and returns to his cabin by 1 p.m. How much time did he spend on the patient visits?

Challenge

Critical Thinking

1 Neha starts studying at 4:00 p.m. It takes her 30 minutes to do the maths homework, 15 minutes to write the English notes and 70 minutes to revise all other subjects for the upcoming test. If her friend Pooja comes to play when Neha finishes studying, will Pooja arrive before or after 6:00 p.m.?

Worksheet 4: Time in Days, Weeks, Months and Years

1 Fill in the blanks.

a  There are days in a leap year.

b  If 03.03.23 is a Friday, then the next Sunday will be on .

c ___________ is a month with 28 or 29 days.

d  2 years = months

2 Write these dates in short form — Date.Month.Year.

a  19 November 1996

c  29 July 2023

3 Find the number of days between the given dates.

a  30 June and 23 July

c  12.05.2020 and 10 June 2020

b  15 August 1947

d  28 February 2004

b  5 September and 2 November

d  07.06.2023 and 23.07.2023

4 Human Rights Day is celebrated every year on December 10 to honor the United Nations General Assemblyʼs adoption of the Universal Declaration of Human Rights. If 10 December is a Friday, on which day will the New Year begin?

5 Jay takes 2 weeks of leave from school to attend a wedding. The leave begins on 5 March. When will he return to school?

1 Ria and Manas went to buy chocolates.

They saw that the chocolate was made on December 12, 2023, and the label said, “Best before 18 months.” Ria says the chocolate expires on June 12, 2024. Manas says it will expire on June 12, 2025. Who is right, Ria or Manas? Why?

Worksheet 5: Chapter Checkup

1 Read the given clocks and write the time.

2 Fill in the blanks with the correct time in a.m. or p.m.

a  This morning, Emily woke up at 7 .

b  She took 45 minutes to get ready, then it was a.m.

c  She had her lunch at 12:30 in the cafeteria with her friends.

3 Write the correct time using either a.m. or p.m.

a  2 hours after 4:30 in the morning -

b  3 hours after 8:45 in the evening -

c  1 hour after 10:00 at night -

d  4 hours after 1:20 in the afternoon -

4 Change the time into 24-hour clock time.

a  06:30 a.m. b  07:55 a.m.

c  01:03 p.m. d  09:15 p.m.

5 Change the time into 12-hour clock times.

a  14:20 hours b  15:45 hours

c  21:12 hours d  04:30 hours

6 Find the duration between the times.

a  08:00 a.m. to 02:45 p.m.

b  07:00 p.m. to 11:30 p.m.

c  02:00 p.m. to 06:45 p.m.

d  09:30 a.m. to 05:15 p.m.

7 Change the following time between hours and minutes.

a  3 hours and 30 minutes to minutes.

b  550 minutes to hours and minutes.

c  1 hour and 15 minutes to minutes.

d  90 minutes to hours and minutes.

8 Siya began to colour at 17:30 hours. If she finished colouring after 100 minutes, at what time did she finish?

9 A bus departs from Cochin at 08:45 p.m. and reaches Bangalore at 04:45 a.m. What is the total duration of this journey in minutes?

10 Today is 10 January. Anil’s birthday is in 45 days. On which date will his birthday be?

Challenge

1 Six children took part in a puzzle solving challenge. They all started at 12:30 p.m. and finished as shown on their clocks. Read the time and answer the following questions.

Getu: 1:10 p.m.

Shyam: 1:00 p.m.

Ritu: 1:20 p.m.

Ravi: 1:35 p.m.

Jia: 12:45 p.m.

Ahmed: 1:30 p.m.

a Who took 30 minutes to solve the puzzle? b Who took more than 1 hour to solve the puzzle?

c How long did Getu take to solve the puzzle? d Who took the least time in the competition?

2 Jacob lives on Earth, and his friend Luna lives on a planet called Zaria. On Earth, a month has 30 days. On Zaria, a month has 42 days. Suppose a school year in Zaria lasts 9 Zarian months. If a school year on Earth is 11 months long, which planet’s school year is longer? How much longer?

Worksheet 6: Case Study

The Great Penguin Race!

Emperor penguins are incredible swimmers! A recent study tracked emperor penguin chicks as they waddled from the colony to the ocean for their first swim. The average penguin chick took 52 days and 12 hours to complete this journey.

Scientists want to understand the penguin chicksʼ travel patterns better. They recorded the starting time for a group of chicks and want to predict when they might reach the ocean.

Group Start Time: November 10, 2024, at 2:30 p.m.

1 About how many weeks will it take the penguin chicks to reach the ocean?

a 9 weeks

c 10 weeks

b 7 weeks

d Impossible to determine

2 True or False: The penguin chicks will reach the ocean on December 1, 2024.

3 To find the estimated arrival date at the ocean, we need to add the number of travel days to the .

4 The penguins stopped to bask two weeks after the journey. They stopped some time around November

Worksheet 7: Mental Maths

1  Convert into 12-hours format.

a 04:30 hours = ________________ AM/PM

b 15:40 hours = AM/PM

c 03:10 hours = AM/PM

d 19:00 hours = AM/PM

e 22:05 hours = AM/PM

2  Choose the correct answer.

a What is the time 4 hours before 11:00 AM?

i 7:00 AM ii 8:00 AM iii 6:00 AM iv 9:00 AM

b How many days are there in 3 weeks?

i 18 days ii 21 days iii 30 days iv 15 days

c If you start playing a game at 4:00 PM and finish at 6:30 PM, how long did you play?

i 2 hours ii 2 hours 30 minutes

iii 1 hour 30 minutes iv 3 hours

d What time is 3 hours after 9:00 AM?

i 5:00 AM ii 4:00 PM iii 12:00 PM iv 12:00 AM

3  Answer the following.

a How many days are there in the month of February during a leap year?

b How many minutes are there between 10:10 AM and 10:40 AM?

c If today is September 1st, what will the date be in the next 2 weeks?

4 Sarah starts her homework at 3:15 PM. She finishes after 45 minutes. Then, she takes a 30-minute break and reads for 1 hour.

a Sarah finishes her homework at . (4:00 PM/4:15 PM)

b Sarah starts reading at . (4:30 PM/5:00 PM)

c Sarah spends on her break and reading combined. (1 hour 30 minutes/2 hours)

Worksheet 1: Reviewing Rupees and Paise

1 One rupee is represented by a rectangle and one paisa is represented by a circle. Represent ₹3.05 using rectangles and circles.

2 Express the amount in words.

a  ₹154.56 _________________________________________________________________________________

b  ₹217.85 _________________________________________________________________________________

c  ₹396.48 _________________________________________________________________________________

3 Write the amount in numerals.

a  Five hundred forty-two rupees and eighty-three paise.

b  Six hundred fifty-two rupees and thirty-nine paise.

c  Eight hundred sixty-three rupees and seventy-seven paise.

d  Nine hundred seventy-four rupees and three paise.

4 Convert the amount into paise.

a  ₹578.24 = b  ₹647.12 = c  ₹846.25 =

5 Convert the amount into rupees.

a  63512 paise = b  74624 paise = c  84761 paise = d  97456 paise =

6 The Euro (€) is the official currency of 20 out of the 27 member states of the European Union. If 1 Euro = ₹90.78 (as of 12 July 2024) then how many paise are there in one Euro?

Challenge

1 Raj’s grandfather showed him a black slate and told him that this slate cost 32 paise in his time. = 1 paise = 1 anna If = , how many circles will you draw to show the cost of the slate in anna?

Worksheet 2: Bills

1 Suhaas purchased some items for the new-year celebration. Read the bill and answer the questions.

a  What is the cost of 1 party blower?

b  What is the cost of 30 gift bags?

c  What is the cost of 2 packets of balloons? d How much did Suhaas spend on the celebration?

2 The pencil was invented by Nicholas Jacques Contre in 1795. Renuka orders different types of pencils. She orders 2 packs of HB pencils for ₹72.00 each, 3 packs of H pencils for ₹69.00 each, 2 packs of B pencils for ₹90.00 each and 1 pack of dustless chalk for ₹180.00 each. Prepare a bill for Renuka.

3 Ravi has ₹1000. He purchases 1 2 kg of chillies for ₹40.00 per kg, 1 kg of potatoes for ₹31.50 per kg, 2 kg of oranges for ₹50.00 per kg and 1 4 kg of cherries for ₹120.00 per kg. Prepare a bill for Ravi and find the amount he has left after the purchase. Do you help your parents in buying vegetables and fruits?

4 Sam has ₹750.00 with him. He goes to a toy shop and buys 1 teddy bear for ₹125, 2 building blocks for ₹175 per block, 3 toy cars for ₹45.00 per car and 1 jigsaw puzzle for ₹215.50. Prepare a bill for Sam. Will he be able to purchase all the items? If not, how much money does he require to purchase all the items?

5 Create a list of items purchased and prepare a bill for it.

Challenge .................................................................................................................................................................................................................

1 Neha gets medicine delivered twice a month for her grandmother. The rate of Vitamin D increased by ₹15 and the price of eye drops decreased by ₹27 in the second delivery.

The bill for the first delivery is shown.

a  Make the latest bill for the second delivery.

b Neha paid a total of ₹400 for the 2 deliveries. Did she pay the correct amount? If not, what is the difference. Explain your answer.

Worksheet 3: Expense Lists

1 Read the expense list given below and write True or False.

a  The total expenditure is more than ₹10,000.

b  The expenditure on education is more than the expenditure on food.

c The expenditure on transportation is less than the expenditure on clothing.

d  The total expenditure is less than ₹12,000.

2 Create an expense list for the expenses given. Groceries - `325.25, Milk - `50.50, Transportation - `48.00, Recharge - `125.00, Medicine - `223.15

3 Kapil earns ₹18,000 per month. Given below is his monthly expenditure. How much money did he save at the end of the month? S. No. Detail

4 Allahabad Museum and Rani Durgavati Museum are famous art museums in India. Below are the biweekly expenses of the two museums. Draw the expense list for the museums. Whose expense is bigger?

Allahabad Museum’s Expense List

Utilities—₹5500, Housekeeping—₹7000, Maintenance—₹4000, Wages—₹9000

Rani Durgavati Museum’s Expense List

Utilities—₹7500, Housekeeping—₹6500, Maintenance—₹5000, Wages—₹9500

Challenge

Critical Thinking

1 A small food truck serves idli and dosa for breakfast. The expenses for the ingredients used to make idli and dosa to serve 20 people are given. If they had to serve 40 more people, how much extra expenses would they have to pay?

4 kg urad dal for ₹190.00 per kg, 1 kg rice flakes for ₹32.00 per kg, 5 kg boiled rice for ₹97.00 per kg, 1 kg fenugreek for ₹74.50 per kg, 2 kg toor dal for ₹145.00 per kg

Worksheet 4: Word Problems on Money

1 A man pays a rent of ₹99 a day. How much will he pay in the month of January?

2 Madhavi wanted to give birthday treat to her friend. She bought 12 vanilla pastries and 15 plum pastries. A vanilla pastry costs ₹25, and a plum pastry costs ₹35. How much did she pay?

3 Mysore Zoo is one of the oldest zoos. A ticket for an adult costs ₹60, and a ticket for a child costs ₹30. What would be the cost of tickets for 5 adults and 3 children?

4 Aryan paid ₹186 for two chocolate bars and 1 ice cream. If the cost of 1 ice cream is ₹60, find the cost of 1 chocolate bar.

5 Mahi gets ₹385 pocket money per week. How much pocket money does she get per day?

1 Sara went to the market with some money in her purse. She bought 2 bracelets for ₹142 each and 2 pairs of earrings for ₹55 each. She got back ₹166 as change. How much money was Sara carrying?

Worksheet 5: Chapter Checkup

1 Fill in the blanks. In Figures In Words

₹235.45

₹ Three hundred fifty-six rupees and seventy-two paise

₹ Five hundred eighty-two rupees and thirty paise

₹648.47

₹ Seven hundred ninety rupees and fifty-two paise

₹978.65

2 Convert the given amount to paise.

a ₹236.45 = b ₹345.78 = c ₹598.14 = d ₹894.69 =

3 Fill in the blanks.

a 3651 paise = b 4865 paise = ₹ c 5631 paise = ₹ d 7856 paise = ₹

4 Sunita purchased the following items from the stationery shop. Read the bill and answer the questions.

a What is the cost of 1 packet of pencils?

b What is the cost of 10 erasers?

c What is the cost of 2 notebooks?

d What is the total bill amount?

5 Rohan wanted to learn how to ride a bicycle. His father rents bicycle for ₹55 a day. How much money will he pay for 2 weeks?

6 India is the largest manufacturer of cotton clothes. Mahi purchased a famous Bengali Tant saree for ₹895 and a Khadi for ₹1263. She still has an amount of ₹1526 left. How much money did she have initially?

7 Kunal had ₹5000 with him. He gave ₹1550 to Suhani and divided the rest of the amount equally among his 3 cousins. How much did each cousin get?

8 Naina is trying to save money for a dress. She saves ₹75 per week. If the dress costs ₹900, how many weeks will it take to save enough to buy the dress? Do you also save your pocket money to buy your favourite things?

9 A family has monthly earnings of ₹22,000. Given below is their monthly expense list. Read the list and answer the questions.

a  How much does the family spend on medicine? b How much does the family spend on groceries and milk?

c  What is the total expenditure of the family? d  What is their monthly saving?

10 Rohit went to the market to purchase groceries. After his purchase he received the following bill. Is the bill correct? If not, make the correct bill.

Critical Thinking

1 Raju bought some junk from the junk collector. He paid ₹943 and six 50 paise coins.

Statement 1: Raju paid ₹946 in total to the junk collector.

Statement 2: Raju paid for the junk using 6 notes of ₹100, 6 notes of ₹50, 1 note of ₹20, 4 coins of ₹5 and three ₹1 coins.

a Only Statement 1 is true

b Only Statement 2 is true.

c Both statements 1 and 2 are true.

d Both statements 1 and 2 are false.

2 Five friends went on a trip and paid ₹98 each. Rahul joined them on the trip and paid some money. The total money paid by the 5 friends and Rahul was ₹600. How much money did Rahul pay?

Worksheet 6: Case Study

The science teacher conducts an experiment to demonstrate a closed circuit to the students. She uses a small wooden board that costs ₹385.00, a switch costing ₹40.00,

3 small cut wires each costing ₹15.00, a battery that costs ₹196.50, a bulb costing 14200 paise.

1 The cost of the bulb in rupees is .

2 The cost of 2 batteries is

a ₹293.00

c ₹393.50

3 Make a bill for the given items.

b ₹199.00

d ₹393.00

4 There are 30 students in a class. The class is divided in groups of 5. How much money is required to buy all the items for the experiment if each group gets one set of equipment?

5 How do you save electricity at home?

Worksheet 7: Mental Maths

1  Convert the following.

a ₹4.50 = paise b ₹ = 3450 paise

c ₹123.25 = paise d ₹119.10 = paise

e ₹ = 29005 paise

2  Solve.

a  ₹20 + ₹50.50 = b  ₹172.50 – ₹72 = c × ₹35 = ₹ 70

₹15 + = 4500 paise

3 Complete the bill.

4  Fill in the blanks.

a Your weekly transport expense is ₹100. In 4 weeks, your transport expense will be ₹

b  Your family spends ₹600 on rent every month. In 3 months, the rent will be ₹ .

5 Rohit goes to the market with ₹200. He buys a book for ₹75 and a toy for ₹50. Afterward, he buys a snack for ₹25.

a Rohit spends ₹ on the book and toy combined. (₹100/₹125)

b After buying the snack, Rohit has ₹ left. (₹50/₹100)

c Rohit spends a total of ₹ on all the items. (₹150/₹175)

Data Handling

Aligned to NCERT Chapter: Ch. 14: Smart Charts

Worksheet 1: Table and Tally Marks

1 Tick () the tally marks count which shows the number 25.

2 A health drink has vitamins, minerals, and other good ingredients that help you stay energised. The tally chart shows the data collected on the types of health drinks people take. Which is the most popular health drink?

a Lemon water b Green tea

c Coconut water d Beetroot juice

3 The image shown below shows different kitchen appliances. Count the number of each kind of appliance and draw the tally chart.

4 Nitin has some vegetables at home. Create a tally chart and answer the following questions.

a How many carrots are there?

b How many pumpkins and capsicums are there?

c How many potatoes are there?

d What is the total number of vegetables at home?

5 The data table shows the number of households that segregate different types of waste. Read the data and answer the following questions.

a Create tally marks to represent the number of households segregating each type of waste.

b How many more households segregate wet waste compared to e-waste?

c If 3 more households start segregating sanitary waste, how many will there be in total?

d Which type of waste has the least number of households segregating it?

e Do you or your family do waste segregation at home? If so, how do you do it? If not, why not?

6 Frame a question based on the tally chart created in Q3.

1 Read the statements and choose the correct option.

Assertion (A): Consider the marks scored by 10 students in a class test. 9, 9, 8, 10, 10, 8, 7, 9, 6, 8. The tally marks for 8 and 9 marks together can be given as | | | | | |.

Reasoning (R): Each group of tally marks represents five items.

a Both A and R are true, and R is the correct explanation of A.

b Both A and R are true, but R is not the correct explanation of A.

c A is true, but R is false.

d A is false, but R is true.

Worksheet 2: Drawing and Reading Pictographs

1 Write if each statement is True or False.

a A pictograph is a way to represent data using images and symbols.

b A pictograph makes the data representation visually interesting and easy to understand.

c Pictographs cannot be used to compare two quantities.

2 Look at the pictograph and answer the questions.

How many students scored a higher grade than the number of students who scored a C grade?

a 13

b 4

c 26

d 14

3 Here is a pictograph showing the rainfall levels in different cities (named A, B, C, D, E and F) in a year. Look at the pictograph and answer the following questions.

a How much rainfall was recorded in city A and city D?

b Compare the rainfall levels of city B and city E. Grades

4 The total numbers of tigers in the sanctuaries in four states in India are as follows: Bihar: 30 Andhra Pradesh: 70 Chhattisgarh: 50 Rajasthan: 60 Prepare a pictograph for the animals using the symbol which represents 10 animals.

5 The pictographs show the number of apples and oranges consumed by students of three government schools in a city. Read the pictographs and answer the questions.

School 1

School 2

School 3

Key: = 35 students

School 3 = 45 students

a In which school is the total number of students that consumed oranges more than those who consumed apples?

b What is the difference in the number of students who consumed apples at schools 1 and 3?

c How many children consumed each kind of fruit at school 2?

6 Write a new question for the pictographs given in Q5.

1 Nandini collects data on the favourite fruits in her class. She lists the data in a table. Look at the data.

a Create a pictograph for the data using the key of 1 picture = 1 fruit.

b Use the same data to create another pictograph if the key is 1 circle = 2 fruits.

c If the key shows 1 circle = 4 fruits, how many circles will you draw for grapes?

Worksheet 3: Drawing and Reading Bar Graphs

1 Fuel is a substance that is burned to produce energy. We use this energy to make things work, like cars, buses and airplanes. Read the bar graph and answer the questions.

a Which fuel is used in the greatest number of houses?

b How many houses are using coal as fuel?

2 The table represents the sale of refrigerators in the first six months of the year.

Draw a bar graph for the given information.

3 The number of people in various age groups in a village is given in the following table. Draw a bar graph to represent the information (1 unit = 1000).

4 A person records his family’s monthly expenditure (in ₹) on various things as shown below.

Draw a bar graph to represent the given information.

5 Children of Grade 1 to Grade 5 participate in the school’s Annual Day Function. The bar graph shows the number of children from each grade who participated. Study the graph and answer the questions.

a From which grade did the lowest number of children participate?

b From which grade did only 60 children participate?

c How many fewer children participated from Grade 3 than Grade 1?

d How many more children participated from Grade 5 than Grade 2?

6 Create two questions based on the bar graph created in Q4.

Challenge

Critical Thinking & Value Development

1 Sanjay checked his bookshelf and found the books as shown in the bar graph.

a If Sanjay donates one-half of his books, how many books will he have left on his bookshelf?

b Why do you think organising one's books is important?

Worksheet 4: Pie Charts

1 A charitable company kept track of the amount of funding (money) it received from three categories of donors over a year. The pie chart shows this data. Which list is arranged from the smallest to the biggest category of donors?

a Category B, Category C, Category A

b Category B, Category A, Category C

c Category A, Category C, Category B

d Category A, Category B, Category C

2 Look at the circle chart of the seasons liked by students of class 4 and write True or False for each statement.

a A greater number of children in class 4 like summer than autumn.

b The most preferred season is summer.

c Spring is liked by more students than autumn.

d Winter is liked by more students than spring.

3 The circle chart shows the games school children like to play. Observe the pie chart and select the correct options.

a The fraction of the children who like to play hockey is:

i  One-half ii  One-third iii  One-fourth iv  Three-fourths

b The fraction of the children who do not like to play hockey is:

i  One-half ii  One-third iii  One-fourth iv  Three-fourth

c If there are 60 children, write the number of children who: i  Like to play lawn tennis

ii Do not like to play lawn tennis

4 The pie chart shows the land area occupied by different continents of the world. Look at the pie chart and answer the questions that follow.

a Which continent is the second-largest in terms of area?

b What fraction of the total area is covered by Europe?

c What fraction of the total area is covered by Australia and South America?

d Which continent has an area less than that of South America but more than that of Europe?

5 Create a question based on the pie chart in Q4.

Challenge

1 Ajay surveyed 100 people on their favourite outdoor activities on Sports Day. Their choices are shown on the pie chart.

a If 10 people chose walking as their favourite activity and 15 people chose skating, how many chose cycling?

b If 10 people changed their vote from walking to skating, what fraction of the people like skating?

c What fraction of the people said that cycling was their favourite activity?

Worksheet 5: Chapter Checkup

1 How many paintings did the painter sell in March?

a  20

b 40

c 10 d 25

January

February

March = 5 paintings

2 The tally chart shows the distribution of elephants across zoos in different states in India.

a How many elephants are there in the zoo of Assam?

b Which two states have an equal number of elephants?

3 The given pictograph shows the number of pumpkins harvested by three friends.

a  Who harvested 200 pumpkins?

b  How many pumpkins did Hari harvest?

Pumpkin Harvest Name Number of Pumpkins

= 50 Pumpkins

4 The following tally chart shows the number of bicycles sold during a period of five weeks. Study the tally chart and answer the questions that follow.

a How many bicycles were sold in the first week?

b How many bicycles were sold in the first and fourth week?

c How many bicycles were sold in the 5 weeks altogether?

Ramu

Hari Madhav

5 Maya asked 40 friends to vote for their favourite board game. Complete the circle graph showing the fraction of students who voted for each game.

Board Game Chess Ludo Carrom Checkers

No. of Votes 10 20 5 5

6 Create a question based on the pie chart in Q7.

Challenge

1 500 students were asked how they travel to school every day. The collected data is shown in the circle graph. Find the fractions of the students who do not travel to school by car.

2 Aditya has a bakery. He made the bar graph showing the number of cakes sold over four days last week.

On day 5, he sold twice as many cakes as he sold on day 1. On day 6, he sold half as many cakes as he sold on day 3. Find out how many cakes Aditya sold in total over these 6 days.

Worksheet 6: Case Study

The Plastic Problem

Plastic pollution is a big problem for our environment. Every year, millions of plastic bottles end up in landfills and oceans, causing harm to wildlife and our planet. Read the bar graph showing the number of plastic bottles that were used at different events last year and answer the questions.

1 How many plastic bottles were used in total at the School Fair and Sports Day combined?

a 6000 b 750

c 800 d 650

2 Which event used the most plastic bottles?

a School Fair b Sports Day c Town Festival d Community Picnic

3 True or False: The Community Picnic used fewer plastic bottles than the Sports Day.

4 The event that used 350 plastic bottles was the .

5 The total number of plastic bottles used at all four events was .

6 Why should we avoid using single-use plastics? Give one alternative to using plastic bags.

Worksheet 7: Mental Maths

1  Solve the following riddle.

I show pictures instead of numbers.

If 1 picture means 5 apples, how many apples are shown if there are 3 pictures?

2  Choose the correct answer.

a How many tally marks are there in 15?

i 3 groups of 5 ii 3 groups of 3 iii 5 groups of 5 iv 5 groups of 3

b In a pictograph, 1 apple represents 5 apples. If there are 4 apples shown, how many apples are there in total?

i 6 ii 10 iii 20 iv 25

c If a bar graph shows 8 blue cars and 12 red cars, which colour has more cars?

i Blue ii Red

iii Both are the same iv Blue and red both

d In a pie chart, if 3 4 th of the chart is coloured red, what fraction of the chart is green?

i 1 2 ii 1 3 iii 1 4 iv 3 4

3 A pie chart shows how Sam, Ria and Raman spent their weekend. Each person spent 1 3 of the total time doing different activities.

If the total time spent was 90 hours, how many hours did each person spend on their activities?

4  Fill in the blanks.

a In a tally chart, 4 groups of 5 tallies equal .

b A pictograph shows 6 symbols of balls, each representing 2 balls. The total number of balls is .

c In a bar graph, the height of the red bar is 10 and the blue bar is 7. The red bar is units taller than the blue bar.

d There are 25 marks on the tally chart. That is groups of 5 tallies.

5  Match the following.

(each = 20) i  105

(each = 35) ii  100 c (each = 15)

(each = 50)

= 12)

Answers

Chapter 1

Worksheet 1

1. c  2. c

3. a. 900 and 9 Expanded form = 50000 + 6000 + 900 + 30 + 8

b. 60,000 and 6 Expanded form = 60000 + 5000 + 800 + 90 + 9  c. 5000 and 5 Expanded form = 20000 + 5000 + 400 + 0 + 1

d. 6 and 6 Expanded form = 80000 + 9000 + 300 + 70 + 6

4. a. 17,372; Seventeen thousand three hundred seventy-two  b. 43,890; Forty-three thousand eight hundred ninety  c. 74,065; Seventy-four thousand sixty-five  d. 80,379; Eighty thousand three hundred seventy-nine

5. a. 12,321 b. 34,600 c. 78,005 d. 50,010

6. a. 46,322 b. 50,757 c. 73,061 d. 96,408

7. 13,568; thirteen thousand five hundred sixty-eight.

Challenge 1.  8046

Worksheet 2

1. a. Place value of digit 5 is 500000, 8 is 80000, 4 is 4000, 7 is 700, 3 is 30, 6 is 6; Expanded form: 5,00,000 + 80,000 + 4000 + 700 + 30 + 6; face value of digit at lakhs place = 5 b. Place value of digit 7 is 700000, 4 is 4000, 3 is 300, 9 is 90, 1 is 1; Expanded form: 7,00,000 + 4000 + 300 + 90 + 1; face value of digit at lakhs place = 7

2. a. False b. False c. True

3. a. 4,18,222 b. 5,40,147 c. 7,49,021 d. 9,82,902

4. a. 4,18,300 b. 6,20,000 c. 8,05,264 d. 7,20,050

5. a. 1,97,637; One lakh ninety-seven thousand six hundred thirtyseven b. 3,65,021; Three lakh sixty-five thousand twenty-one

6. 3,84,400 = 3,00,000 + 80,000 + 4000 + 400 + 0 + 0

Challenge 1. 9,79,436

Worksheet 3

1. a. < b. < c. > d. <

2. a. 14,390 < 37,935 < 40,765 < 79,430 b. 27,880 < 32,860 < 59,573 < 66,773 c. 4,67,943 < 4,88,392 < 8,33,067 < 8,64,853 d. 7,06,583 < 7,20,157 < 7,48,546 < 7,59,404

3. a. 24,567 and 76,542 b. 13,678 and 87,631

4. a. 1,12,479 and 9,97,421 b. 1,00,358 and 8,85,310

5. Supriyaʼs brother  6. No

Challenge 1. 2,00,005

Worksheet 4

1. a. 130 b. 570 c. 1470 d. 47,120  2. a. 200 b. 1700 c. 7600 d. 23,500  3. a. 2000 b. 7000 c. 35,000 d. 87,000  4. 24,000 saplings

5. 40,000 km

Challenge 1. 2,56,287

Worksheet 5: Chapter Checkup

1. a. Place value of digit 4 is 40000, 8 is 8000, 3 is 300, 6 is 60 and 1 is 1. Expanded form of 48,361 = 40000 + 8000 + 300 + 60 + 1

b. Place value of digit 8 is 80000, 7 is 7000, 1 is 100, 0 is 0 and 9 is 9. Expanded form of 87,109 = 80000 + 7000 + 100 + 9

2. a. 6 × 100000 + 8 × 10000 + 5 × 1000 + 4 × 100 + 8 × 10 + 6 × 1

b. 200000 + 10000 + 3000 + 500 + 40 + 8

3. a. 38,237; Thirty-eight thousand two hundred thirty-seven. b. 4,56,321; Four lakh fifty-six thousand three hundred twentyone. c. 9,70,540; Nine lakh seventy thousand five hundred forty. d. 8,06,399 Eight lakh six thousand three hundred ninetynine.  4. a. 48,321 b. 1,34,600 c. 78,610

d. 9,10,045  5. a. 82,322 b. 3,50,757 c. 2,73,061  d. 7,96,408  6. a. > b. > c. > d. <

7. a. 37,880 < 42,860 < 46,773 < 69,573; 69,573 > 46,773 > 42,860 > 37,880 b. 23,752 < 24,431 < 25,409 < 28,540; 28,540 > 25,409 > 24,431 > 23,752 c. 64,012 < 64,393 < 64,520 < 64,905; 64,905 > 64,520 > 64,393 > 64,012 d. 93,854 < 3,58,801 < 3,95,701 < 8,26,750; 8,26,750 > 3,95,701 > 3,58,801 > 93,854

8. a. 3430, 3400, 3000 b. 39,890, 39,900, 40,000

9. a. Saree 4 < Saree 1 < Saree 3 < Saree 2 b. Saree 1 = ₹ 26,000  Saree 2 = ₹ 97,000 Saree 3 = ₹ 55,000 Saree 4 = ₹ 26,000

10. a. English b. Spanish c. Spanish < Japanese < Chinese < English  11. Answers may vary. Sample answer

Four cities are competing to host the next international sports event. The population of each city is as follows: City A: 534,892; City B: 679,213; City C: 425,678; City D: 796,054

To determine which city is the largest, can you arrange the populations from smallest to largest?

Challenge 1. Place value = 4000; Face value 4 2. 598895

Worksheet 6: Case Study

1. b  2. Bhutan  3. Iceland

4. Iceland < Maldives < Malta < Suriname < Macao < Bhutan < Guyana < Fiji  5. 9,36,000

Worksheet 7: Mental Maths

1. a. ii. 50,000 b. i. 7 c. iii. 789,700 d. ii. 605,987

2. e. 56321 h. 24185 m. 12378 o. 12305

3. a. CDXL b. 582 c. 815 d. CML

4. 4,24,630 5. a. 543,210 > 543,120 b. 678,945 < 678,954

c. 234,567 < 234,576 d. 475,000 > 457,000

Chapter 2

Worksheet 1

1. a. 9341 b. 69,553  2. a. 4979 b. 24,654

3. a. 6918 b. 18,865  4. 59,533  5. 57,664

6. 3145 animals  7. 47,029 cars

Challenge 1.  1032 2372 2348 2790 5138 4720 9858 1340 1008 1782

Worksheet 2

1. a. 76,370 b. 42,112  2. a. 4211 b. 24,789 c. 8512 d. 18,005

3. a. 16,815 b. 17,481  4. 44,345  5. 14,400 species

6. Answers may vary. Sample answer:

Mother bought 2589 balloons for my birthday party. 1294 were blue and the rest were red. How many balloons were red?

Challenge 1. 59,786

Worksheet 3

1. a. 9070 b. 1226 c. 34,890 d. 2441

2. 23,750  3. ₹15,319  4. 37,627 people

Challenge 1. a. Only conclusion I is true.

Worksheet 4

1. a. 3700 b. 6200  2. a. 6000 b. 80,000

3. 85,000 sq. km  4. 8000 steps

Challenge 1. Riyan

Worksheet 5: Chapter Checkup

1. a. 84,640 b. 12,226  2. 8000, 7343  3. 1000, 489

4. 74,842  5. 26,092  6. 1,00,999  7. 18,200 bricks

8. 3900 km, 1100 km   9. b

Challenge 1. 70,000 2. Yes

Worksheet 6: Case Study

1. c. 11,000  2. d. 6000 trees  3. False

4. If the village plants 3250 trees per week, after 4 weeks, the forest will have 8000 more trees than it started with, which is 2000 more trees than the original scenario where only 2750 trees were planted each week. This change results in a greater number of trees in the forest.

Worksheet 7: Mental Maths

1. a. 780 + 650 b. 1436 c. 900+ 700 d. 2000 e. 2266

2. a. 32,500 b. 620 c. 1500 d. 260

3. a. 200 b. 150  4. a. False b. True c. True d. True

Chapter 3

Worksheet 1

1. a. 466 b. 2488 c. 14,007 d. 36,099

2. a. 939 b. 7218 c. 2004 d. 11,632

3. a. 579 b. 2252 c. 3675 d. 37,496

4. 6420  × 2 = 6420

Challenge 1. 49

Worksheet 2

1. a. False b. True c. False d. True

2. a. 3796 b. 4080 c. 3051 d. 37,696

3. a. 4,2,0; 1,4,5 b. 1,9,0; 5,9,4,0,9

4. a. 891 b. 1134

Challenge 1. 51,328

Worksheet 3

1. a. 37,800 b. 1,18, 800 c. 3,19,200 d. 5,63,200

2. a. 1,04,400 b. 35,938 c. 1,09,940 d. 6,00,950

3. 860 × 150 = 1,29,000 and 375 × 344 = 1,29,000. So the missing digit is 4.

Challenge 1. Numbers are 20 and 30

Worksheet 4

1. ₹3807  2. 21,665 days  3. 13,237 calories

4. No, the total cost of the tickets won’t fit in their budget.

5. a. 24,160 people b. 22,725 people

Challenge 1. 4,516,835 boxes

Worksheet 5

1. a. 2400 b. 46,400 c. 81,000  2. a. 20,000 b. 50,000

c. 1,80,000  3. a. 5500; 10,000 b. 3,43,200; 3,20,000  c. 8,42,800

4. Estimated product = 4400 Actual product = 4730 Actual product is greater than the estimated product

Challenge 1. No, the estimated amount will not be enough because the estimated amount is less than the actual amount. To buy something, you cannot give less money than the cost of the item.

Worksheet 6: Chapter Checkup

1. a. 4200 b. 594 c. 1323 d. 51,600

2. a. 2870 b. 1688 c. 24,069 d. 72,808

3. a. 2256 b. 2952 c. 66,573 d. 4151

4. a. 11,844 b. 15,560 c. 1,28,520  d. 2,32,353

5. a. 71,200 b. 84,700 c. 10,000 d. 3,60,000

6. 758 steps  7. 11,250 m  8. ₹54,660

9. 28,888 kg  10. ₹28,368

Challenge 1. OUEU

2. Answer may vary. Sample answer. Rishi has to pack 429 gift boxes with 10 ceramic cups in each. How many ceramic cups does Rishi need in total?

Worksheet 7: Case Study

1. ₹410  2. a. False  b. True  3. 42,224 kg

4. 11,214 days  5. 36,000 km  6. Answers may vary.

Worksheet 8: Mental Maths

1. a. i. 40 × 20 b. ii. 384 c. i. 12 d. i. 300

2. a. product b. zero c. the number itself d. even

3. a. iii. 9000, 600, 240, 3 b. ii. 500, 350, 0

4. i. 1000 ii. 200 iii. 900

Chapter

4

Worksheet 1

1. a. False b. True c. True d. True  2. a. 3, 2, 2, 2, 1, 6, 1, 4

b. 8, 9, 2, 7, 4 ,7, 2  3. a. 49  b. 216 c. 321

4. a. 56 b. 84 c. 184

Challenge 1. 3

Worksheet 2

1. a. 48, 6 b. 9, 86 c. 976, 5

2. a. 51, 17 b. 26, 146 c. 4, 764

3. a. 3, 3, 1, 4, 7, 9 b. 3, 1, 5, 5, 7, 2, 6, 7

4. a. Q = 36; R = 11 b. Q = 204; R = 1 c. Q = 201; R = 27

5. a. 5 b. 18 c. 90

6. 200 40 6000 400 2000 4 60 2 600 4000

Challenge 1. 9 notes

Worksheet 3

1. 14 bottles  2. 40 pages  3. ₹50  4. 635 shelves

5. 135 packets

6. 912 trees

7. Answer may vary. Sample answer. Rani had made 3860 cloth dolls. She sends her dolls to 5 different stores. How many dolls will each store receive?

Challenge 1. Each housekeeper will clean 26 rooms.

Worksheet 4: Chapter Checkup

1. a. 4 b. 48 c. 1 d. 40 e. 4 f. 8

2. a. Q = 153; R = 0 b. Q = 95; R = 8 c. Q = 45; R = 0

3. a. 123, 3 b. 41, 2 c. 236, 5

4. a. 365 b. 60 c. 550  5. a. 50 b. 30 c. 140

6. 9 households  7. 41 students  8. ₹110  9. 127 boxes

Challenge 1. 640 boxes  2. a. 16 b. 10

Worksheet 5: Case Study

1. d. 210  2. a. False b. True  3. 138  4. 45 saplings

Worksheet 6: Mental Maths

1. a. 9 b. 3

2. a. > b. = c. < d. > e. <

3. a. 5 b. 10 c. 6 d. 60 e. 100

4. a. 56, 7 b. 70, 3 c. 480, 5 d. 803, 0

Chapter 5

Worksheet 1

1. Colur 4, 8, 12, 16, 20 in red. 7, 14 in green and 9, 18 in blue.

2. a. 8, 16, 24, 32, 40 b. 10, 20, 30, 40, 50 c. 11, 22, 33, 44, 55  d. 12, 24, 36, 48, 60  3. a. 60 b. 117 c. 99 d. 60

4. 12, 24, 36, 48, 60, 72  5. a. 6 and 12 b. 21 and 42  c. 18 and 36 d. 15 and 30

Challenge 1. 154

2. Answer may vary. Sample answer.

Worksheet 2

1. 1 row of 24: 1 × 24 = 24; 24 rows of 1: 24 × 1 = 24; 2 rows of 12: 2 × 12 = 24; 12 rows of 2: 12 × 2 = 24; 3 rows of 8: 3 × 8 = 24; 8 rows of 3: 8 × 3 = 24; 4 rows of 6: 4 × 6 = 24; 6 rows of 4: 6 × 4 = 24; Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

2. a. 1, 2, 7, 14 b. 1, 3, 7, 21 c. 1, 2, 3, 4, 6, 9, 12, 18, 36 d. 1, 3, 13, 39  3. a. 1, 3, 9 b. 1, 2, 3, 4, 6, 12 c. 1, 3, 5, 15

d. 1, 2, 3, 5, 6, 10, 15, 30

4. Yes, as 126 leaves no remainder when divided by 18.

5. 12  6. a. 1, 2 b. 1, 2 c. 1, 5 d. 1, 2

Challenge 1. a. 3 + 7 + 11 + 13 b. 4 + 8 + 10 + 12

2. 12 children

Worksheet 3: Chapter Checkup

1. a. 7, 14, 21, 28, 35 b. 17, 34, 51, 68, 85 c. 18, 36, 54, 72, 90  d. 19, 38, 57, 76, 95 2. a. 10 b. 24 c. 40 d. 28

3. a. 1, 2, 5, 10, 25, 50 b. 1, 2, 3, 6, 11, 22, 33, 66  c. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 d. 1, 2, 4, 8, 11, 22, 44, 88

4. a. 4, 8, 12, 16, 20, 24, 28 b. 32, 40, 48, 56, 64, 72

5. a. 1, 2, 4 b. 1, 2 c. 1, 3 d. 1, 3

6. a. No b. Yes c. No d. Yes e. Yes f. No

7. 180 minutes.  8. 20 flowers

9. Answers may vary. Sample answer.

A gardener waters one set of plants every 4 days and another set every 6 days. If both sets are watered today, in how many days will the gardener need to water both sets of plants again on the same day?

Challenge 1. 18  2. 6 groups

Worksheet 4: Case Study

1. c 2. c

3. 1 × 36, 36 × 1, 2 × 18, 18 × 2, 3 × 12, 12 × 3, 4 × 9, 9 × 4, 6 × 6

4. Answer may vary.

Worksheet 5: Mental Maths

1. a. 7, 12, 28, 35. b. 3 , 1, 5.

2. a. i b. i c. ii d. i

3. a. True b. True c. False d. True

4. a. 64 b. 10

Chapter 6

Worksheet 1

1. a. 3 4 b. 3 5 c. 3 8 d. 1 3

d. 6 e. 22 f. 30  4. 5. 5 10

6. 25 snow leopards

Challenge 1. 6 rice bags

Worksheet 2

1. a. b. c. d.

g. 4 9 > 3 7 h. 9 16 > 7 15 3. a. 1 9 b. 2 10 c. 2 7 d. 5 11 1 6 8 7 5 3 2 9 4

2. Answer may vary. Sample answer. a. 6 8 , 9 12 , 12 16 , 15 20 b. 4 14 , 6 21 , 8 28 , 10 35 c. 2 10 , 3 15 , 4 20 , 5 25 d. 2 8 , 3 12 , 4 16 , 5 20

3. a. 1 5 b. 1 3 c. 1 13 d. 1 13 4. a. 6 b. 3, 15 c. 2, 2 d. 7, 7

5. 3 8 , 2 41 , 5 24

6.  Sleep Eat Other

Challenge 1. 26 44

Worksheet 3

1. a. Like fractions b. Like fractions c. Like fractions  d. Unlike fractions

2. a. 4 8 > 2 8 b. 5 9 < 7 9 c. 5 7 > 5 9 d. 1 3 = 3 9 e. 8 10 > 5 15 f. 2 6 > 1 7

4. a. 1 9 < 3 9 < 4 9 < 6 9 < 7 9 < 8 9 b. 5 13 < 5 11 < 5 10 < 5 9 < 5 7 < 5 6

5. Watermelons > Oranges > Apples > Bananas

Challenge 1. 5 slices

Worksheet 4

1. a. Proper fraction b. Improper Fraction c. Mixed fraction  d. Improper fraction e. Mixed fraction f. Proper fraction

2. a. 22 3 b. 31 4 c. 41 6 d. 54 9 3. a. 16 3 b. 21 8 c. 44 6 d. 37 9

4. a. 2 b. 3 c. 5 d. 4 5. 7 4 3 4 1 7 4

6. Answers may vary. Sample answer. A painter is mixing colors for a mural. He has 4 1 2 cans of blue paint but needs to know how many half-cans of paint he has in total. Write 4 1 2 as an improper fraction?

Challenge 1. 15 12

Worksheet 5

1. a. 2 3 b. 3 4 c. 4 d. 52 3 2. a. 1 3 b. 1 4 c. 11 7 d. 12 5

3. 3 4 m  4. 3 8

5. Answer may vary. Sample answer. Lily baked a batch of cookies and decided to divide them among her friends. She gave 3 8 of the cookies to her friend Sarah, and 5 12 of the cookies to her friend Ben. How much of the batch did Lily give away in total?

Challenge 1.  3 12 , 6 12 , 5 12 , 5 12 respectively

Worksheet 6: Chapter Checkup

1. a.  b.

2. a. 3 flowers b. 9 cakes

3. Answers may vary. Sample answers:

a. 10 12 , 15 18 , 20 24 , 25 30 b. 14 16 , 21 24 , 28 32 , 35 40 c. 6 18 , 9 27 , 12 36 , 15 45

d. 4 14 , 6 21 , 8 28 , 10 35 4. a. 4 8 b. 36 27 c. 21 27 d. 16 24

5. a. 5 9 b. 5 16 c. 1 4 d. 1 7

6. a. 13 7 > 7 17 b. 1 8 10 > 9

Challenge 1. Yes 2. 110 17

Worksheet 7: Case Study

1. Option a  2. Option c

3. Australia, Europe, Antarctica, South America, North America, Africa and Asia.

4.  1 20 5. Answers may vary.

Worksheet 8: Mental Maths

1. a.

Chapter 7

Worksheet 1

1. a. False b. False c. False 2. a. Ray PQ b. Line CD c. Point Q

3. Points: A, B, C, D, O, P, Q Rays: OA , OB , OC , OQ , OP

Lines: BC , PQ

4. Parallel lines

5. Line a and Line b are parallel.   Line x and Line y are perpendicular.

Challenge 1.

There are 4 pairs of parallel lines in this structure.

Worksheet 2

1. a. 4 cm b. 2 cm 2. 6  2cm 3 cm 3 cm 3 cm 3 cm 2cm 3. Measures may vary

4. Not drawn to scale. Sample figures: a. A B 6 cm  b. A B 9 cm  c. A B 10 cm d. A B 14 cm

5. Not drawn to scale, sample figures: 10 cm A B 6 cm A B 10 cm

Challenge 1. Answers may vary. Sample answer. Ratna should connect the three points as shown.

Worksheet 3

1. a. Open figure b. Open figure  c. Closed figure

2. Simple figures - b, Non-simple figures - a, c

3. Non-simple closed - a, c, f Simple open - b, d, e

4. a. False b. True c. False d. False

5. Answer may vary. Sample answer. B, D, O

6. Figures may vary. Sample figures.

Simple figures Non-simple figures

7. a.   b.   c.

Challenge 1. Octagon - 1, Pentagon - 2, Quadrilateral Rectangle - 1, Triangle - 1.

Worksheet 4

1. a. centre b. equal c. infinite d. circumference e. one

2.

3. a. iii b. ii c. iv

4. Not drawn to scale. Sample figures. a. 2 cm O  b. 5cm O

5. 3390 km

Challenge 1. The radii of both circles have the same length.

Worksheet 5: Chapter Checkup

1. a. i b. iii  c. iv d. iii

2. B – closed and non-simple, C – open and simple, D – closed and simple, U – open and simple, 7 – open and simple, 0 – closed and simple, 8 – closed and non-simple, S – open and simple

3. a. Rectangle, 4. b. Triangle, 3. c. Pentagon, 5. 4. Not drawn to scale. Sample figures.

a. 2 cm O  b. 4 cm O

5. AB  6. 16 m

Challenge 1. 4 cm  2. c. A is true but R is false.

Worksheet 6: Case Study

1. b. Circle

2. b. To ensure fairness and equal distance

3. Students will construct concentric circles.

4. Answer may vary.

Worksheet 7: Mental Math

1. a. iii b. i c. ii  2. 5, Heptagon, 4

3. a. False b. False c. False  4. a. 2 b. 10

5. a. 5 centimetres b. 4 end points c. infinite

Chapter 8

Worksheet 1

1. a. Top b. Front c. Side

2. a. Top b. Side c. Front

3. a.  b. c. d.

4. a.  b.  c.

Challenge 1. a. 14 b. 5 c. 8

Worksheet 2

4. Answers may vary. Sample answers: a.  b.

Challenge 1.

Worksheet 3

1. a, c  2. b, c 3. a.  b.  c.  d.

1. 2 times  2. a. True b. False c. False d. True e. True

3. a. right b. MG c. Rani’s d. Supermarket e. Brooke

4. Answers may vary. Sample answer: To reach the bank, Suraj will take the right turn and move straight, then he will take the first right turn and move straight. He will then take a left turn and move straight and stop in front of the bank.

5. Farm road.  6. Answer will vary.

Challenge 1.  Bus Stop

Worksheet 4: Chapter Checkup

1. a. Top b. Front c. Side d. Side e. Top f. Front 2. a.  b.

3.    4. Side C

5. Answers may vary. Sample answers: a.  b.   6.

7. a. Rita’s house b. Mina’s house  c. 4 roads

8. Answers may vary. Sample answers:

Fancy Store Footwear shop

Bakery House School

Challenge 1.

2. Answers may vary. Sample answer:

Worksheet 5: Case Study

1. Nathula Tsomgo Lake

Police Check Post

Chogyal Palden Thedyp Memorial Park

Ropeway Point Assembly House

2. a. True b. False

3. 4. a. left b. South

Worksheet 6: Mental Maths

1. a. Front view b. Side view c. Top view

2. Top view Side view Front view

3. Possible results are:

4. Cuboid  5. a. True b. False c. False

Chapter 9

Worksheet 1

1. a.

4. Answers may vary.

Challenge 1.

Worksheet 2

1. a. 90, 110 b. 65, 78  c. 44, 34 d. 16, 22

3. Answer may vary. Sample answer. 5 6 3

Challenge 1. Answers may vary. Sample answer.

Worksheet 3

1. a. Yes b. No c. Yes d. No   2. a.   b.

3. 1 parallelogram, 5 triangles, 1 square

4. Answers may vary. Sample answer:

Challenge 1. No

Worksheet 4

1. a. SCHOOL b. QUIZ c. ATTEMPT d. READ

2. a. 11-5-5-16 9-20 21-16 b. 19-1-22-5 23-1-20-5-18

c. 16-12-1-14-20 20-18-5-5-19

d. 6-1-14-20-1-19-20-9-3 23-15-18-11

Challenge 1. 3510

Worksheet 5

1. a. Yes b. No c. No d. Yes

2. a.  b.  c. d.

3. Vertical - A, M, T, U, V, W, Y Horizontal - B, C, D, E, K

Both - H, I, O, X

4. a. b.

Challenge 1.

Worksheet 6: Chapter Checkup

1. a.   b.

c.   d.  – + ÷ × + ÷ × –

2. a. Yes b. Yes c. No d. No

3. a. 190, 210, 230 b. 144, 155, 166 c. 450, 340, 230

d. 104, 95, 86

4. 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51

a. 39-37-39 45-17-37-15-9-37

b. 31-23-1-27-39-1 39-35-9-9

c. 37-1-43-9 31-1-31-9-35 d. 35-9-5-49-5-23-9

5. a.    b.   c.

6. a.    b.   c.

7. Infinite  8. Answer will vary.

Challenge 1. 8 flowers 2. LZ

Worksheet 7: Case Study

1. c. Three  2. 6 dots  3. False  4. MAYA 5. Answer may vary.

Worksheet 8: Mental Maths

1. a.

b.

c.

2. a. 44 b. 50 c. 55 d. 17 e. 66

3. a. STOP b. LOTUS c. POST

4. Circle a and d

5. 4 lines of symmetry

Chapter 10

Worksheet 1

1. a. Ruler b. Measuring tape c. Measuring tape d. Ruler

2. a. 4 cm or 40 mm b. 3 cm or 30 mm

3. a. 900 cm b. 12 m c. 15 m 20 cm d. 1300 cm

4. a. 1 km 400 m b. 1 km 600 m c. 2 km 200 m d. 1 km 336 m

5. 4000 m  6. Leopard = 210 cm, Tiger = 360 cm

Challenge 1. 10 centimetres; 75 seconds

Worksheet 2

1. a. 2 kg 500 g b. 500 g c. 1 kg 500 g  2. a. 3 g b. 7 g c. 10 g d. 2 g 467 mg 3. a. 5 kg b. 4 kg 500 g c. 6 kg 557 g

d. 9 kg 782 g  4. a. 5000 mg b. 8500 mg c. 4102 mg

d. 15,770 mg  5. a. 17,000 g b. 10,500 g c. 5010 g

d. 15,025 g  6. 4000 g  7. ₹4365

Challenge 1. 100 g

Worksheet 3

1. a. 250 mL b. 1 L  2. a. 3 1 2  L b. 5 L c. 10 1 2  L d. 17 L

3. a. 7 L 650 mL b. 8 L 235 mL c. 9 L 250 mL d. 11 L 300 mL

4. 600 mL  5. 6 L

Challenge The oil vendor can measure 4L of oil with 3L and 5L jars:

1. Fill 3L jar, pour into 5L jar (leaving 2L space) leaving it empty.

2. Refill 3L jar, pour into 5L jar until full (1L left in 3L).

3. Discard oil from 5L jar.

4. Pour 1L from 3L jar into 5L jar.

5. Refill 3L jar, pour into 5L jar until empty (fills to 4L)

Worksheet 4: Chapter Checkup

1. a. (i) 2 m 5 cm (ii) 5 m 7 cm b. (i) 1 km 205 m (ii) 5 km 763 m

2. a. 5 kg 65 g b. 4 kg 600 g c. 7 kg 450 g d. 10 kg 500 g

3. a. 2500 g b. 4600 g  4. a. 7 L 200 mL b. 8 L 660 mL

5. 475 mL  6. 12 jars  7. a. ₹120 b. ₹300 c. ₹750 d. ₹1530

8. 10 kg, Lighter  9. 25 handfulls

Challenge 1. No  2. Option a

Worksheet 5: Case Study

1. 24 angulas 2. Option a  3. 48 angulas

4. True 5. 4 hastas

Worksheet 6: Mental Maths

1. a. = b. < c. < d. > e. =

2. a. True b. False  3. b

4. a. 1 kg b. 6000 g c. 2 kg d. 5000 g

Chapter 11

Worksheet 1

1. Figure Y  2. a. 16 cm b. 18 cm c. 24 cm

3. a. 16 cm b. 20 cm c. 50 m

4. a. 8 cm b. 32 m c. 5 cm

5. a. 30 cm b. 70 mm  6. 450 cm

Challenge 1. Answer may vary. Sample answer:

Worksheet 2

1. a. 33 sq. units b. 43 sq. units c. 40 sq. units

2. a. 48 sq. units b. 27.5 sq. units

3. a. 21 sq. units b. 6 sq. units c. School A

4. Answers may vary. Sample answer:

Challenge 1. a. 6

b. Answers may vary. Sample answer:

The area of all figures will be the same but the perimeter will be different.

Worksheet 4: Case Study

1. d  2. b  3. Bedroom 1

4. Garden, Bedroom 2 and Kitchen  5. Answer may vary.

Worksheet 5: Mental Maths

1. a   2. Rugby ball, basket ball  3. a. True b. False

4. Circle a and d  5. a. ii b. i

Chapter

12

Worksheet 1

1. a. 5:00 p.m. b. 10 a.m. c. 4:30 p.m. d. 10:00 p.m.

2. a. 8:20 b. 11:47 c. 1:28  3. 11:30 a.m.

4. a. 11:30 a.m. b. 02:15 a.m. c. 11:59 p.m. d. 6:44 p.m.

5. a.    b.    c.

Worksheet 3: Chapter Checkup

1. a. 16 units b. 18 units; Shape a has smaller boundary.

2. 10; 14; 14; B, C  3. a. 12 cm b. 34 m c. 24 m d. 30 cm

4. a. 8 cm b. 3 cm  5. a. Figure Q and S b. Figure R and S

c. Figure P and T  6. a. 56 sq. units b. 46 sq. units

c. 22 sq. units d. 17 sq. units

7. 8. 9 sq. units

9. 27 sq. units

Challenge 1. 5 rectangles Rectangle 1: Length = 1, Width = 9; Rectangle 2:

Length = 2, Width = 8; Rectangle 3: Length = 3, Width = 7; Rectangle 4:

Length = 4, Width = 6; Rectangle 5: Length = 5, Width = 5

2.

6. 12:30 p.m.

Challenge 1. c. 1:33 p.m.

Worksheet 2

1. a. 15:28 hours b. 23:56 hours c. 00:00 hours

d. 23:59 hours  2. a. 10:40 p.m. b. 6:25 p.m. c. 11:24 p.m.

d. 1:03 p.m.  3. 06:00 hours  4. 4:55 p.m./8:35 a.m.

5. 12:45 p.m.

Challenge 1. 2:30 p.m.; Yes, it is still daytime for Samairaʼs friend

Worksheet 3

1. a. 5 hours 40 minutes b. 7 hours 30 minutes

c. 9 hours 20 minutes d. 11 hours 15 minutes

2. a. = b. > c. = d. >  3. a. 12 hours 30 minutes

b. 5 hours 49 minutes c. 6 hours 20 minutes

d. 13 hours 15 minutes  4. 11:55 a.m.  5. 2 hours 45 minutes

Challenge 1. before 6:00 p.m.

Worksheet 4

1. a. 366 b. 12.03.23 c. February d. 24

2. a. 19.11.96 b. 15.08.47 c. 29.07.23 d. 28.02.04

3. a. 23 days b. 58 days c. 29 days d. 46 days

4. Saturday   5. 19 March

Challenge 1. Manas since 18 months from December 12, 2023 is June 12, 2024.

Worksheet 5: Chapter Checkup

1. a. 6:42 b. 7:29 c. 10:21 d. 5:14  2. a. a.m. b. 7:45

c. p.m.  3. a. 6:30 a.m. b. 11:45 p.m. c. 11:00 p.m.

d. 5:20 p.m.  4. a. 06:30 hours b. 07:55 hours

c. 13:03 hours d. 21:15 hours  5. a. 2:20 p.m. b. 3:45 p.m.

c. 9:12 p.m. d. 4:30 a.m. 6. a. 6 hours 45 minutes. b. 4 hours

30 minutes c. 4 hours 45 minutes. d. 7 hours 45 minutes.

7. a. 210 minutes b. 9 hours 10 minutes c. 75 minutes. d. 1 hour

30 minutes  8. 19:10 hours  9. 480 minutes  10. 24 February

Challenge 1. a. Shyam b. Ravi c. 40 mins d. Jia

2. Zaria; 48 days

Worksheet 6: Case Study

1. b. 7 weeks  2. False  3. start date  4. 24th

Worksheet 7: Mental Maths

1. a. 4:30 AM b. 3:40 PM c. 3:10 AM d. 7:00 PM e. 10:05 PM

2. a. i. 7:00 AM b. ii. 21 days c. ii. 2 hours 30 minutes

d. iii. 12:00 PM  3. a. 29 days b. 30 minutes c. September 15th

4. a. 4:00 PM b. 4:30 PM c. 1 hour 30 minutes

Chapter 13

Worksheet 1

1. ₹3.05

2. a. One hundred fifty-four rupees and fifty-six paise

b. Two hundred seventeen rupees and eighty-five paise.

c. Three hundred ninety six rupees and forty-eight paise

3. a. ₹ 542.83 b. ₹652.39 c. ₹ 863.77 d. ₹974.03

4. a. 57,824 paise b. 64,712 paise c. 84,625 paise d. 94,537 paise

5. a. ₹635.12 b. ₹746.24 c. ₹847.61 d. ₹974.56  6. 9078 paise

Challenge 1. 8 circles

Worksheet 2

1. a. ₹15 b. ₹3000 c. ₹80 d. ₹3320   2.

No. 1356/B

Date: 02/07/2024

Hindustan Pencils Pvt Ltd

S.

1.

2.

Total amount = `257 + `245 = `502

No, the total bill amount is `502 but she had paid `400.

Neha has to pay `102 more for the bill.

Worksheet

3

3. ₹5025

4.  Allahabad Museum's Expense List

Rani Durgavati Museum's Expense List

The total expenditure of Rani Durgavati Museum is bigger.

Challenge 1. Extra expenses to be paid for 40 people = ₹1641.50 + ₹1641.50 = ₹3283.00

Worksheet 4

1. ₹3069  2. ₹825  3. ₹390  4. ₹63   5. ₹55

Challenge 1. Sara was carrying ₹560 in her purse.

Worksheet 5: Chapter Checkup

1. Two hundred thirty-five rupees and forty-five paise; 356.72; 582.30; Six hundred forty-eight rupees and forty-seven paise; 790.52; Nine hundred seventy-eight rupees and sixty-five paise.

2. a. 23,645 paise b. 34,578 paise c. 59,814 paise d. 89,469 paise

3. a. ₹36.51 b. ₹48.65 c. ₹56.31 d. ₹78.56

4. a. ₹40 b. ₹100 c. ₹100 d. ₹730

5. ₹770  6. ₹3684  7. ₹1150  8. 12 weeks

9. a. ₹1500 b. ₹8500 c. ₹18,400 d. ₹3600

10.  Food Store

Bill No. 3581/D Bill Date: 28/11/2023 S.

Ghee 1 2 L 600.00 300.00

Sugar 8 kg 40.00 320.00

Salt 1 2 kg 30.00 15.00

Total `1405.00

Challenge 1. Option a  2. ₹110

Worksheet 6: Case Study

1. ₹142.00  2. Option d

3. S.No. Item

4. ₹4851.00 will be required to buy experiment materials for all the groups.

5. Answers may vary.

Worksheet 7: Mental Maths

1. a. 450 paise b. ₹34.50 c. 12325 paise d. 11910 paise e. ₹290.05

2. a. ₹70.50 b. ₹100.50 c. 2 d. ₹30

3. Pencil = ₹105 Pen = ₹75.00 Grand Total = ₹407.5

4. a. ₹400 b. ₹1800  5. a. ₹125 b. ₹50 c. ₹150

Chapter 14

Worksheet 1

1. b  2. b

3. Appliance Tally Marks

4. a. 8 b. 19 c. 6 d. 33

5. a. Type of Waste Number of Households Amount(₹) Wet Waste 8 |||| ||| Dry Waste 5 |||| Sanitary Waste 3 ||| E-waste 2 ||

b. 6 c. 6 d. E-waste e. Answer may vary

6. Answer may vary Sample answer. How many more tea pots are there than mixer grinders? Challenge 1. Option d

Worksheet 2

1. a. True b. True c. False  2. Option c

3. a. 175 cm, 50 cm b. B > E

4. Key: 1 = 10 Tigers States Number of Tigers

5. a. School 2 and school 3 b. 245 students c. 160 students

6. Answer may vary. Sample answer. How many students consumed oranges in school 3?

Challenge

1. a. 1. Key: 1 = 1 fruit

Fruit Number of Fruits

Apples

Bananas

Cherries

Grapes

b. Key: 1 = 2 fruits

Fruit Number of Fruits

Apples

Bananas

Cherries

Grapes

c. two and one-fourth circles

Worksheet 3

1. a. LPG b. 10 houses 2.

Scale: 1 divison = 5

No. of Refrigerators Numbers of Refrigerators Sold Months 3.  Number of People

y

Scale: 1 divison = 1000 people

5. a. Grade 3 b. Grade 4 c. 10 students d. 30 students

6. Answer may vary. Sample answer.

a. How much did the family spent on education? b. What is the total expenditure of the family?

Challenge 1. a. 13 books b. Answer may vary.

Worksheet 4

1. Option b  2. a. False b. False c. False d. True

3. a. iv. Three-fourths b. iii. One-fourth c. i. 15 children ii. 45 children

4. a. Africa b. 7 100 c. 17 100 d. Antarctica

5. Answer may vary. Sample answer. Which continent is the smallest in terms of area?

Challenge 1. a. 25 people b. 1 4 c. 1 4

Worksheet 5: Chapter Checkup

1. Option a  2. a. 9 b. Andra Pradesh and Maharashtra

3. a. Madhav b. 275 pumpkins  4. a. 22 bicycles  b. 37 bicycles c. 107 bicycles   5. Favourite Board Game Chess Ludo Carrom Checkers 1 2 1 4 1 8 1 8

6. Answer may vary. Sample answer. How many friends vote for ludo?

Challenge 1. 3 4 2. 51 cakes

Worksheet 6: Case Study

1. b. 750  2. c. Town Festival  3. True 4. Community Picnic  5. 1700  6. Answer may vary.

Worksheet 7: Mental Maths

1. 15

2. a. i b. iii c. ii d. iii  3. 30 hours

4. a. 20 b. 12 c. 3 d. 5

5. a. → iii. b. → i. c. → v. d. → ii. e. → iv.

About the Book

Perfect Mathematics workbooks are aligned with the latest NCERT textbooks and are NCF 2023 compliant. Aligned with NEP 2020, this workbook bridges abstract concepts to real-world applications by offering questions that enhance a child's mathematical skills. The workbook has hundreds of practice questions, ample writing space for clear responses and a variety of question types. Perfect Mathematics workbooks also provides a mental maths worksheet for each chapter for Grades 1 to 5. This book supports learners at all levels, providing opportunities to build critical thinking skills through questions and activities aligned with Bloom’s Taxonomy. For those seeking a greater challenge, the workbook includes thought-provoking higher order questions that push learners to apply, analyse and evaluate their concept knowledge.

Key Features

• Curriculum Alignment: Aligned with the lates NCERT textbooks and educational standards such as the NCF 2023.

• Mental Maths: In-built mental maths worksheets for Grades 1 to 5 to help students improve their ability to perform calculations rapidly without relying on calculators or written methods.

• Practice Questions: A wide variety of practice questions to reinforce concepts.

• Question Types: Includes a variety of question types like Fill in the Blanks, True or False, MCQs, and Short and Long answer questions.

• Challenge: Critical thinking questions to enhance problem-solving and analytical thinking skills. Higher order thinking questions in the form of assertive reasoning and data sufficiency questions.

• Case Study: Scenario-based questions to apply theory to real-life situations.

• Answer Key: Answers to all the questions at the end of the book.

• QR Codes: Digital integration through the Uolo app to promote self-learning and practice.

About Uolo

Uolo partners with K-12 schools to provide technology-enabled learning programs. We believe that pedagogy and technology must come together to deliver scalable learning experiences that generate measurable outcomes. Uolo is trusted by over 15,000+ schools across India, Southeast Asia and the Middle East.

ISBN 978-81-982034-0-3