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Practice • Solve • Succeed

Mathematics Workbook

Perfect

MATHEMATICS Workbook

Grade 3

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

This book is sold subject to the condition that it shall not by way of trade or otherwise, be lent, resold, hired out, or otherwise circulated without the publisher’s prior written consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser and without limiting the rights under copyright reserved above, no part of this publication may be reproduced, stored in or introduced into a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of both the copyright owner and the above-mentioned publisher of this book.

Book Title: Perfect Mathematics Workbook 3

ISBN: 978-81-982034-7-2

Published by Uolo EdTech Private Limited

Corporate Office Address:

85, Sector 44, Gurugram, Haryana 122003

CIN: U74999DL2017PTC322986

Illustrations and images: www.shutterstock.com, www.stock.adobe.com and www.freepik.com

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!

Numbers up to 200

Chapters: at the Beach (Counting in Groups) with Numbers (Numbers 1 to 100)

Introducing 3-digit Numbers

missing numbers.

, , b  155, , , 158, blocks. Write the numbers shown by the blocks.

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

Numbers up to 200 01

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

Worksheet 3: Chapter Checkup

Worksheet 1: Introducing 3-digit Numbers

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

Worksheet 4: Chapter Checkup

numbers for the number names and represent the numbers using blocks.

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

Challenge

1  There are 1 hundreds, 7 tens and 9 ones blocks.

a What number do they make?

b If 2 tens blocks are taken away, what is the remaining number?

Challenge

Critical Thinking

2

Challenge: Critical thinking questions to enhance problem-solving and analytical thinking skills.

2  A building has five floors. Rohan lives on the 5th floor. Juhi lives on the floor above Riya. Riya lives on the 2nd floor. On which floor does Juhi live?

Worksheet

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)?

Real-Life Maths: Scenario-based questions for students to apply theoretical knowledge to real-world situations.

Answer Key: Answers to all the

1  What is the colour of Raman’s house?

2  Read the statements and choose the correct option.

a Blue b Orange c Green d Purple

2  What is the position of the yellow house?

a 2nd b 4th c 5th d 7th

d  A is false but R is true Rohan lives in the 1st (purple) house on the street. His friend Raman lives in the 5th house.

4

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.

3  Choose the correct option. Fill in the blanks.

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

a The 3rd house is . (blue/orange).

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

c  A is true but R is false

b The only green house is on the street. (7th/9th)

4  Write True or False.

a The orange houses are in the 3rd and 6th position on the street.

b The purple house, other than Raman’s house, is 4th on the street.

Place Value

Aligned to NCERT Chapter/s: Ch. 1: What’s in a Name?

Ch. 6: House of Hundreds I

Ch. 9: House of Hundreds II

Worksheet 1: Understanding 4-digit Numbers

1 Write the numbers by counting the blocks.

2 Count the beads. Read and write the number.

3 Show the numbers on the abacus by drawing circles for the beads. a 1932 b 5358

4 Write the numbers in words. a  1532 b  3156 c  4811

5 Write the place value and face value of the underlined digit.

a  3215

b 5362

c  7314

6 Write the numerals.

a  three thousand two hundred forty-five

b  five thousand three hundred eighty-six

c  seven thousand forty

7 Write the numbers in expanded form.

a  2148

b  4036

c  6105

8 The longest highway in India is NH44. Its length is 4112 kilometres. Write the length in words.

Challenge Critical Thinking

1

Read the hints to find the year.

• The value of the thousands place is 1000.

• The hundreds place has the digit of the largest value.

• The tens place digit is 2 less than the hundreds place digit.

• The sum of all the digits is 20.

Worksheet 2: Comparing, Ordering and Forming Numbers

Group the numbers as even or odd numbers.

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

a  614 1700

d  5720 5265

b  5092 7320

c  2184 2357

e  4126 4510 f  5271 5261

Arrange the following numbers in ascending and descending order.

Ascending Order

Descending Order

a  1765, 4390, 7430, 7935

b  773, 7880, 9573, 2860

c  4853, 7943, 392, 3067

d  8546, 9404, 157, 6583

Form the smallest and the greatest numbers using the given set of digits.

a  4, 2, 7, 6

b  6, 1, 3, 7

c  5, 0, 2, 1

d  8, 6, 0, 5

Match the following.

a 9999

Smallest 4-digit number

b 1000 Greatest 4-digit number

c 9876

d 1023

Smallest 4-digit number using different digits

Greatest 4-digit number using different digits

The length of the river Nile is 6650 km, and of the river Amazon is 6575 km. Which river is longer?

The Indian Railways is one of the largest railway networks with 7325 stations. Form the largest number possible using the same digits.

Anahita has written the largest 4-digit number where any number of digits can be the same. Hetal has written the largest 4-digit number where all four digits are different. Who has the largest number?

Worksheet 3: Rounding off 3-digit Numbers

Fill in the blanks.

a  There are 38 students in my class. 38 can be rounded off to .

b  There are 73 trees in a park. 73 can be rounded off to .

c  44 is between 40 and 50 but is closer to .

d  123 is between 120 and 130 but is closer to .

Round off the numbers to the nearest 10.

a  32 b  67 c  81 d  137

e  256 f  321 g  442 h  547

Draw an arrow to match each number to its nearest 10. a

A langar is a community kitchen in a gurudwara. Rina and Sia helped in the kitchen and served food to 632 people. To the nearest 10, about how many people did they serve?

The Delhi Metro connects Delhi with its neighbouring cities. It has 268 trains and 256 stations. Round off the number of trains and stations to the nearest 10.

I am a 3-digit number. If you round me off to the nearest 10, I round down and not up. My tens digit is odd, but I am even. Who am I?

a 718            b 752            c 648

Worksheet 4: Chapter Checkup

1  Write the numerals.

a one thousand four hundred forty-two

b three thousand eight hundred fifty-seven

c four thousand two hundred eight

d five thousand three hundred nine

2  Write the numbers in words.

a 2471

b 4205

c 5374

d 7308

3  Write the place value of the underlined digit.

a 1056 b 3814 c 5807 d 8379 e 7291 f 9092

4  Write the standard form of the numbers.

a 2000 + 100 + 80 + 5

b 3000 + 400 + 70 + 1

c 8000 + 80 + 9

d 5000 + 700 + 20 + 5

5  Write the expanded form of the numbers.

a 1382

b 3641

c 5327

d 6484

6  Form the smallest and the greatest 4-digit number using the following digits.

Digits

a 2, 0, 3, 1

b 8, 6, 0, 5

c 5, 4, 2, 8

d 4, 1, 0, 7

7  Draw abacuses to show the following numbers.

a 860 b 4072

8  Arrange the numbers in ascending and descending order.

Ascending Order

Descending Order

a 565, 2390, 730, 8935

b 773, 880, 7573, 1860

c 5853, 6943, 792, 7081

d 7846, 8704, 657, 5683

9  Round off the numbers to the nearest ten.

a 64 b 97 c 393 d 421

10  The Great Hornbill is a colourful bird in India. It is called the 'farmer of the forest', There are 62 types of hornbill in the world. About how many types are there in the world?

11  Create your own word problem on comparing two 4-digit numbers.

Aditya is looking for a 4-digit number. Help him find the number. These clues will help you. Write the number, its number name and expanded form.

a The thousands place is equal to the number of legs a spider has.

b The hundreds place is equal to the number of wheels in a car.

c The tens place is equal to the number of wings a bird has.

d The ones place is equal to the number of faces of a cube.

Fill the numbers 284, 43, 168, 905 in the empty circles such that they meet the conditions.

Worksheet 5: Real-Life Maths

Mountain Peaks

Disha and her friends are planning to climb mountains as their summer vacation activity. They are reading about mountains and they find out the heights of 5 mountain peaks in the Himalayan range:

Mount Everest—8848 m, K2—8611 m, Annapurna—8041 m, Mount Kailash—6638 m and Kedarnath—3583 m.

1 Which is the highest mountain peak from the given list?

a  K2

c  Mount Everest

b  Annapurna

d  Kailash

2  Arrange the mountains peaks from smallest to greatest.

3 Name the mountain peak which is the smallest. Write the length in expanded form and in words.

4 Have you ever climbed mountains? Share your experience in words.

1  Choose the correct answer.

a  The number name for 2238 is

i Two thousand two hundred thirty-eight

ii  Four thousand one hundred sixteen

iii  Two thousand two thirty-eight.

b  5677 has tens

i  0       ii  6       iii  7

2  Fill in the blanks.

a  840 = 8 hundreds tens ones.

b  The even number between 2101 and 2103 is .

c  Eight thousand forty in numeral is .

3  Write True or False.

a The largest number that can be made using 1, 2, 3, 0 is 3210.

b The number 9101 rounded off to nearest 10 is 9100.

c The place value of 9 in 1900 is 9.

d The face value of 9 in 1900 is 900.

4  Find the answer to the given questions in the given options?

a Riya has to make the greatest 4-digit number using 4 different digits. One of the digits is 0. In which place should she put 0? i  Ones       ii  Tens       iii  Hundreds       iv  Thousands

b  Which of the following is equal to 5738?

i 573 hundreds + 8 ones

ii 57 hundreds + 38 ones

iii 50 hundreds + 738 tens

iv 57 hundreds + 38 tens

5  Compare the following numbers using the symbols >, < or =.

a 4120 4500

b 8520 8250

c 6930 6930

d 610 1600

Addition of 3-digit Numbers

Worksheet 1: Adding 2-digit Numbers Mentally

1 Put the correct symbol >, < or =.

a 36 + 1 35 b 87 + 0 98

c 789 + 5 5 + 789 d 6 + 4 4 + 8

2 Add and complete the crossword. 7 + 5 = + 7 + + 12 = 12 + = 7 +

3 Find the sum by expanding both the numbers.

a 14 + 41 b 46 + 23

c 27 + 11 d 24 + 55

4  Find the sum by expanding only one number.

a 17 + 32

b 44 + 21

c 71 + 10

d 30 + 59

5 Use the given grid to add 41 + 37. Fill in the missing numbers. Write the answer.

41

41 + 37 =

6 There are 48 species of butterflies in the Butterfly Park in Bannerghatta National Park. 30 more species were added to the park. How many butterfly species are there in total?

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

1 Rajitha formed the smallest and biggest numbers using the digits 3 and 4 and added the two numbers as shown. Is the problem solved correctly? If not, solve correctly.

Worksheet 2: Adding 3 and 4-Digit Numbers

1 Find the sum.

a 456 + 232 b 741 + 256

c 147 + 541 d 325 + 473

2 Write True or False.

a The sum of 144 and 215 is 359.

b The sum of 121 and 212 is 313.

c The sum of 541 and 145 is 786.

d The sum of 614 and 314 is 928.

3 Find the missing numbers.

4 Find the sum. Fill in the blanks.

a 1111 + 2222

b 1254 + 2141

c 3214 + 6145

6 Answer the questions.

a What is 1234 more than 5145?

d 7151 + 2126

b What is 2174 more than 1211?

7 Jaspal bought a raincoat for his house helper for ₹456. He bought an umbrella for his guard for ₹235. How much money did he spend? Do you spend money to help people in need? How?

8 Draw place value blocks to show and add 209 and 108. Use for 1 hundred (H), for 1 ten (T) and for 1 one (O).

9 A farmer packs 1245 oranges in the first carton, 2311 oranges in the second carton and 1421 oranges in the third carton. How many oranges does he pack in total? Draw as many oranges as in the thousands place.

1 Read the numbers and answer the questions.

a Find the pair of numbers that will give a 4-digit sum.

b Which two numbers, when added, will have 0 at the ones place?

c Which two numbers have a sum of 525?

Worksheet 3: Estimating the Sum

1 Find the estimated sum of the numbers by rounding off both numbers to the nearest 10. a 17 and 34 b 84 and 17

c 15 and 54 d 47 and 41

2 Round off the numbers to the nearest 10 and find the sum. Check whether the answer is close to the actual answer.

a 31 + 36

c 12 + 17

58 + 23

21 + 47

3 Ria made 43 cookies and 66 puff pastries to give to the old age home. Estimate the food items she made in all? Do you help and respect the elderly in your house?

4 Coral Island in Andaman and Nicobar is famous for sea-life creatures. Nisha found 78 starfish and Rohit found 52 starfish. About how many starfish did they find together?

5 Round off the numbers to the nearest 10 and find the sum. Also find the actual sum of the numbers and round it off to the nearest 10. Check if the answer is the same in both cases.

a 48 + 32

b 35 + 57

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

1 Jai scored 35 points in round 1, 48 points in round 2 and points in round 3. When he rounded off the scores, the estimated total was 170. What could be his score in round 3?

Worksheet 4: Word Problems

1 A toy shop sold 134 toys in the month of January and 217 toys in the month of February. How many toys were sold in these two months together?

2 The cost of a bicycle is ₹4231, and the cost of a music system is ₹4566. What is the total cost of both the items?

3 The government of India has schemes like the Rashtirya Krishi Vikas Yojana to encourage the use of high-yielding seeds. Raju buys seeds for farming. He buys 2 packets of seeds. The first packet contains 28 seeds, and the second packet has 35 seeds. How many seeds are there in total?

4 In a new school, 218 students enrolled in Grade 2, 317 students enrolled in Grade 3 and 165 students enrolled in Grade 4. How many students enrolled for all the grades combined?

5 The length of Sankesula Barrage is 1300 m and the length of Nagarjuna Sagar Dam is 250 m more than Sankesula Barrage. What is the length of Nagarjuna Sagar Dam?

1 Nisha has 3 green beads, 4 red beads and 3 blue beads. Ria has 5 green beads, 6 red beads and 2 blue beads. What will be the sum of the numbers formed by these beads? Hundreds Tens Ones

Worksheet 5: Chapter Checkup

1 Find the missing term. a 45 + 1 = b 14 + 0 =

87 + = 48 + 87 d 5 + 3 = 3 +

1 + = 84

2 Find the sum by expanding the numbers. a 35 + 61 b 19 + 70

+ 18 = 18

56 + 23

3 Add without regrouping. a 814 + 111

457 + 121

146 + 723

4 Estimate the sum to the nearest ten. a 84 + 8 b 34 + 17 c 25 + 52

5 Find the sum of the numbers and then round off the result to the nearest 10. a 56 + 11 b 23 + 49 c 45 + 36

7 At a carnival, there were 1547 men, 2048 women, 1023 boys and 1988 girls.

a  How many boys and girls were there at the carnival?

b  How many men and women were there at the carnival?

c  What is the total number of people who went to the carnival?

8 Vishwa has just started collecting tazos. He has 47 tazos. His friend Ishan had 18 more tazos than Vishwa 2 weeks earlier. How many tazos does Ishan have now, if he collected 37 more tazos in the last 2 weeks?

9  Write a word problem on adding two 3-digit numbers with regrouping.

Challenge Critical Thinking

1 Complete the magic triangle. Fill in the circles with the numbers 50, 100, 130, 80, 120 and 70 such that the 3 numbers side add up to 300.

2 The estimated sum of 2 numbers is 30. One of the numbers is 23 and the other number is a 1-digit number. Write all the numbers that can be the second number.

Worksheet 6: Real-Life Maths

Endangered Species

Indian leopards are one of the most endangered species in India. They are protected by the Ministry of Environment and Forests. The table shows the number of leopards in different states of India.

1  The estimated total number of leopards in Goa and Bihar is .

2 Find the total number of leopards in Kerala and Andhra Pradesh.

3 Are the number of leopards in Andhra Pradesh and Kerala more than that in Chattisgarh? Say Yes/No.

4  How can you help protect endangered species?

Worksheet 7: Mental Math

1  Choose the correct option.

a The estimated sum of 47 and 45 (rounding off to 10) is:

i 100 ii 90 iii 80

b The sum of 140 and 200 rounded to the nearest 100 is . i 500 ii 400 iii 300

2  Fill in the blanks.

a 400 + 10 = .

b 305 + = 405.

c 210 + = 320.

3  Write True (T) or False (F).

a The sum of 144 and 200 is 349.

b The sum of 614 and 200 is 814.

c The sum of 140 and 160 is 300.

4  Put the correct symbol >, < or =.

a 303 + 3 606

5  Find the missing digits.

Subtraction of 3-digit Numbers

Aligned to NCERT Chapter/s: Ch. 3: Vacation with My Nani Maa Ch. 12: Give and Take

Worksheet 1: Subtracting 2-digit Numbers Mentally

1 Write True or False. a  27 – 0 = 27 b  64 – 64 = 0 c  76 – 0 = 75 d  82 – 1 = 81 e  93 – 93 = 93 f  43 – 0 = 0

2  Subtract by counting forward. a  21 – 13 = b  45 – 36 = c  56 – 27 =

3  Subtract by expanding the smaller number. a  41 – 17 = b  63 – 26 = c  71 – 24 =

4 Jagadish Chandra Bose Aquarium in Gujarat is the first underwater aquarium in India. There were 43 species of fish in one section. Due to some re-construction, 15 species of fish were shifted to a new home. How many jumps of ten will you take to find the number of species of fish left in the section?

5 Jaya had 61 roses, and she gave 46 roses to her sister. Draw as many roses as the number of tens that remain with Jaya. 1 rose = 1 tens.

6 Danish is subtracting 46 from a number. He takes 2 jumps of 10 and one jump of 3. What is the number that Danish is subtracting 46 from?

1 Solve the puzzle.

a Choose two numbers from the circle. Subtract the smaller number from the greater number.

b Write the difference in the circle between the two numbers.

c Repeat steps 1 and 2 to complete the puzzle.

Worksheet 2: Subtracting 3-digit Numbers

1  Subtract to find the answer.

2  Arrange the following numbers in columns and subtract them.

a  758 − 426 b  689 − 566 c  483 – 150

3  Write in columns and find the difference by regrouping.

a  624 − 276 b  570 − 383 c  600 − 257

4 Yukti collected 469 bottles for recycling. Priya collected 227 fewer bottles than Yukti. How many bottles did Priya collect? Do you recycle plastic bottles and paper?

5 Read the data on the number of tickets for a play sold by 3 friends. Read the table and answer the questions.

a Akhil sold 159 fewer tickets than Joginder and Mohan sold together. How many tickets did Akhil sell?

b How many more tickets would each of them need to sell so that each of them sells 350 tickets?

6 Deer have 327 bones. Cats have 235 bones. How many more bones do deer have than the cat? Verify your answer.

1 Form the largest number and the smallest number from the digits 5, 8 and 2. Find the difference of the numbers formed.

Worksheet 3: Subtracting 4-digit Numbers

1  Subtract.

a  3468 – 5 b  5296 – 40

c  6807 – 600 d  8547 – 7000

2  Write in columns and find the difference.

a  3735 − 2524 b  6398 – 2202

3  Find the difference and arrange in ascending order.

a  4561 – 1230

b  8184 – 5173

c  9427 – 1327

d  9936 – 1121

Ascending Order:

4 The government has set up schools across the states to provide education to millions of children. There are 3872 government schools in Mizoram and 2702 in Nagaland. Find the difference in the number of government schools in the two states.

5 Amit is arranging funds for donating school books to underprivileged children. He needed ₹6987 and was able to arrange ₹5860. How much more money does he need to arrange?

1 If ‘THAT DOWD’ is written as ‘9869 3423’. What will the message be if DOWD is subtracted from THAT?

Worksheet 4: Estimating the Difference

1  Use rounding off to estimate the difference. a 7 3 – 2 2 7 0 –b

2  Round off the numbers to the nearest tens. Find the estimated difference. a  43 − 31 b  57 − 21 c  53 − 28

3 Marari is a beach in Kerala that is famous for its beautiful seashells. Ajay collected 42 seashells at the beach. He gave 23 seashells to Vijay. About how many seashells does Ajay now have?

4 Arun used the rounding off strategy to find 43 – 19. He rounded off 43 to 50 and 19 to 20 and then estimated the difference. Was Arun right? Why or why not?

5 Navin and Darshana are twins who went to an orphanage to celebrate their birthday. They took 96 chocolates with them. Navin distributes 17 chocolates. Darshana distributes some chocolates. About how many chocolates did Darshana distribute if there were 68 chocolates left?

1 Form the smallest and the greatest 2-digit numbers using any digits from 5, 9, 8, 1. Find the estimated sum and difference of the two numbers. [Note: Do not repeat digits while forming the numbers.]

Worksheet 5: Word Problems

1 Ravi has 478 stickers, and his friend, Shashi, has 689. Who has more stickers, and how many more?

2 In a cricket match, Team A scored 435 runs and Team B scored 146 runs less than Team A. How many runs did Team B score?

3 Amisha went on a picnic with her friends. She had ₹700 with her and she spent ₹592 out of it. How much money was left with her?

4 There are 5397 bags of wheat in the warehouse. If 3075 bags are taken out, how many bags will remain in the warehouse?

5 Nikhil bought 5788 pairs of shoes for his newly opened shop in January. On 1st February, he had 1475 pairs left. How many pairs of shoes did he sell in January?

6  Create a word problem on subtracting two 3-digit numbers.

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

1 Raj has two numbers in his mind. He gives a clue—�You will get a difference of 60 when the numbers are rounded off�. What are the numbers that Raj could have thought of?

Worksheet 6: Chapter Checkup

1 Fill in the blanks using the subtraction facts.

− 64 = 0

23 – 23 =

2 Subtract by counting forward. a  52 – 29 =

92 – 67 =

59 – 0 =

16 − = 16

61 – 46 =

43 – 24 =

3 Subtract by expanding the smaller number.

52 – 27 =

84 – 55 =

− 1 = 92

75 – 1 =

64 – 35 =

71 – 42 =

76 – 29 =

4 Arrange the following numbers in columns and find the difference. a  456 – 234 b  842 − 587 c  210 − 187

5 Round off to the nearest tens and then find the estimated difference. a  96 − 12 b  82 – 29 c  61 − 44

6 In an office, 678 pages were kept for printing in a month, out of which 259 pages have been printed. How many pages are still left for printing?

7 985 people came to watch a hockey match. 197 people left after one hour and another 668 left before half-time. How many people watched the whole match?

8 A vegetable vendor bought 925 kg of potatoes from the market. 123 kg of potatoes were rotten. He could sell only 678 kg. How many kg of potatoes does he have left?

9  Create a word problem on subtracting two 4-digit numbers.

1 Which two numbers will have the least and the highest difference? 962 473 609

2 Solve the crossword. Across a 247 – 133 c 9795 – 2735 Down b 9789 – 8432 d 689 – 421

The Indian Post is one of the most widely distributed postal systems in the world. The operation of the office includes banking, communication, transport of goods and many more activities. The table shows the number of post offices in some states.

1 How many tens will you jump to find the difference between the number of post offices in Goa and Nagaland?

2  Write True or False.

a  There are 82 fewer post offices in Nagaland than in Mizoram.

b  There are 154 more post offices in Goa than in Mizoram.

3 How much more is the number of post offices in Haryana than in Jammu and Kashmir?

4 What is the difference in the number of post offices in Nagaland and Haryana?

5 We can even deposit money in the post office as we do in banks. Do you have a habit of saving money?

Worksheet 8: Mental Math

1  Choose the correct option.

a  The difference between 57 and 33 (rounded off to the nearest 10s) is:

i  30 ii  20 iii  10

b  Tick () the option which has the greatest difference?

i  40 – 10 ii  55 – 45 iii  80 – 40

2  Fill in the blanks using subtraction facts.

a 61 – 0 = .

b 23 – = 0.

c 75 – 1 = .

3  Write True or False.

a 86 – 86 = 86.

b 41 – 0 = 0.

c 58 – 1 = 48.

4  Solve.

a There are 700 people at a park. 300 people leave. How many people are still at the park?

b A store had 525 candies. They sold 225 candies. How many candies are left in the store?

5  Round off the numbers to the nearest 10s and fill in the missing digits.

Multiplication Tables

Aligned to NCERT Chapter/s: Ch. 7: Raksha Bandhan

Worksheet 1: Properties of Multiplication

1 Fill in the blanks.

a  3 + 3 + 3 + 3 + 3 =   × 3 b  8 + 8 + 8 = 3 ×

c  2 + 2 + 2 + 2 = × d + + + + = × 13

2  State True or False.

a  When you multiply any number by 1, you get the same number.

b  When you multiply a number by 0, you always get 1.

c  Order matters when multiplying numbers.

3 What is 8 added 9 times?

8 + 9 b  9 × 8

4 Find the missing numbers. a  9 × 3 = × 9

9 – 8

2 × = 0

× 7 = 7 d  5 × 8 = 8 × e  47 × = 47 × 94 f × 1 = 123

5 Thrissur Pooram is a grand festival in Kerala. It has customs involving elephants. Two rows of 15 elephants stand face to face. Write the repeated addition and multiplication sentence for two rows of 15 elephants.

6 Sophie is helping her mom bake cookies. The recipe is for 3 batches of 4 cookies each. Sophie wants to know if the total number of cookies will be the same if she makes 4 batches of 3 cookies each. Can you help Sophie determine the correct order of multiplication? In what ways do you help your parents in the kitchen?

Challenge

1 There are 5 dots in 4 rows each. 4 dots are removed as shown. Rearrange the remaining dots in the same number of rows and write the multiplication sentence.

Worksheet 2: Building Multiplication Tables

1  Fill in the blanks. a  9 weeks = days b  5 days = hours

c  1 hour = minutes d weeks = 70 days

2 Compare using >, < or =. a  8 × 8 60 b  9 × 10 100 × 1 c  4 × 99 400 d  6 × 7 42

3 Find the product.

× 9

4 Complete the multiplication facts.

a  8 × 8 = b  7 × 90 = c  7 × = 560

d  6 × = 5400 e × 4 = 400 f × 6 = 3600

5 Raj gives 6 candies to each of his 9 friends. How many candies did he distribute altogether? Do you share things with your friends?

6 A cricket player has scored 5 centuries in one day internationals. How many runs has he scored in centuries? (1 century = 100 runs)

7 Create a word problem on multiplying two numbers.

Challenge .............................................................................................................................................................. Critical Thinking & Cross Curricular

1  In the 2011 World Cup match between South Africa and India, Gautam Gambhir hit 7 fours, and Sachin Tendulkar hit 3 sixes. How many runs did they both make in total by hitting fours and sixes?

Worksheet 3: Chapter Checkup

1 Write (T) for True and (F) for False.

a  45 × 8 = 8 × 45

c  89745 × 0 = 89745

4 × 6 = 24

5 × 8 = 40

e  9 × 8 = 72 f  6 × 600 = 3600

2 Find different ways to multiply and get make the number in the centre.

3 Look at the pattern. Add or multiply to complete the pattern.

a  8, 16, 24, , , , ,

b 13, 26, 39, , , , ,

c 30, 40, 50, ______, ______, ______, ______, ______

4 Compare using >, <, or =.

a  5 × 70   350 b  8 × 9  74

c  44 × 100  4444

5 Use multiplication to fill in the spaces.

5 × 60  60 × 5

6 Rajesh has 10 cookie boxes. There are 7 cookies in each box. How many cookies does he have in total? Draw the boxes using rectangles and cookies using circles.

7 Wild roses have 5 petals. There are 6 wild roses in a bouquet. How many petals are there in the bouquet? Do you take care of plants at home?

1 Complete the puzzle.

2 There are 9 layers in a fruit desert. Each layer needs 8 fruits for the outer decoration. The even numbered layers will have grapes, and the odd numbered layers will have blueberries. How many grapes and how many blueberries are required?

Wooden Toys!!

Channapatna toys are traditional wooden toys that come from the town of Channapatna in Karnataka. Traditionally, ivory wood is used to make the famous dolls.

1 A wooden stacker toy has 6 rings. There are 2 such toys. The multiplication sentence for the number of rings is .

2 A wooden dog toy needs 4 wheels. How many wheels do 7 wooden dog toys need?

3 The cost of a wooden rattle is ₹90. If there are 4 wooden rattles in a box, what is the total cost?

4 A wooden kitchen set has a pair of plates, a pair of tumblers, a pair of spoons, a pair of pans, a pair of baskets and a pair of pots. What is the total number of pieces in the kitchen set?

5 Create and draw your favourite wooden toy.

Worksheet 5: Mental Maths

1  Choose the correct option.

a What is 9 added 9 times?

i 9 + 9 ii 29 iii  92 iv  9 × 9

b 2 hours = minutes?

i 400 ii 120 iii  60 iv  260

c How many days are there in 8 weeks?

i 70 ii 80 iii 56 iv 51

d How many days are there in 4 months? (1 month = 30 months)

i 60 ii 80 iii 90 iv 120

2  Use multiplication tables to complete the pattern.

a 30, 60, 90, , ______, ______

b 40, 80, 120, ______, ______, ______

3  Write True (T) or False (F).

a 40 × 8 = 8 × 40

b 400 × 0 = 400

c 1200 × 1 = 1200

d 8 × 2 = 16 × 1

4  Complete the multiplication fact.

a × 12 = 360.

b 8 × 30 = .

c × 1 = 120.

d 200 × = 1000.

5  Skip count to fill in the blanks.

a 4, 8, , 16,

b 10, , 30, ,

c 12, , 36,

d 7, 14, ,

Multiplication by 2-digit Numbers

Aligned to NCERT Chapter/s: Ch. 7: Raksha Bandhan

Worksheet 1: Multiplying by Expanding the Bigger Number

1  Multiply the following using the box method.

a  32 and 3

b  20 and 4

c  111 and 4 d  223 and 3

2 Find the product using the lattice multiplication method.

a  16 and 3 b  41 and 6

c  502 and 7 d  716 and 9

3 Annie wants to multiply 123 by 3 by expanding the bigger number. How many tens will she multiply by 3?

4 423 = and 8 = . Draw the symbols to show the digits of the product.

5 The first ropeway in India the Rajgir ropeway is 333 m long. If the cabin makes 3 trips, how much distance has the cabin travelled? Find out using the lattice method.

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

1 Samir multiplied 321 by 2 as given below. Mark the error that he made. Solve correctly.

Worksheet 2: Multiplying by 1-digit Numbers

1 Find the product of the numbers.

2 Multiply the numbers with regrouping.

3 Multiply by writing in columns. a  101 × 9 b  111 × 8 c  128 × 9

4 Daniel solved a multiplication problem as given here. Circle the error and solve it correctly.

5 Banu wants to stitch a 5 layer quilt using 230 pieces of old cloth in each layer. How many pieces of cloth will she need? Do you recycle or donate your old clothes?

6 1hour on the planet Venus is equal to 243 Earth hours. How many Earth hours will 7 hours on Venus equal to?

1 Janu wants to construct a square shaped dog house for her pet. Each wall will require 120 bricks. How many bricks will she require in total?

Worksheet 3: Multiplying by 2-digit Numbers

1 Find the product.

2 Multiply by writing in columns. a  12 × 56 b  15 × 86 c  18 × 95 d  24 × 27

3 Cotton candy was first made in the 19th century. Fill in the blank. 1 cotton candy needs 14 g of sugar. 21 cotton candies need g of sugar.

4 In a garden, there were 23 rows of trees. Parul planted 5 trees in each row. How many trees were there in the garden? Why is it good to plant trees? Do you help in taking care of the plants and trees in your neighbourhood?

Challenge

1 What is the product of the greatest 2-digit number and the smallest 2-digit number?

Worksheet: 4 Estimating the Product

1 Round off the following to the nearest ten.

2 Estimate the product by rounding off the bigger number to the nearest ten. a  44 × 5 b  32 × 6

c  26 × 4 d  81 × 2

3 Find the estimated product. Round off the first number to the nearest 10. Compare the answer with the actual product by finding their difference.

a  66 × 22 b  18 × 12 c  45 × 2 d  33 × 23

4 Round off the 2-digit number and estimate the product. Begin at the start and follow the correct answers through the maze until you get to the end.

5 Jaipur is famous for lac bangles made from the natural resin lac. Riya is packing bangles in boxes. She packs 45 boxes with each box having 24 lac bangles. What is the estimated number of bangles that she packed? (Hint: Round off both the numbers)

1 �I am a number rounded off to 50. The product of my digits is 15.� What number am I?

Worksheet 5: Word Problems

1 A box contains 13 erasers. How many erasers would there be in 12 such boxes?

2 The cost of a notebook is ₹100. How much will 12 such notebooks cost?

3 In an orchard, there are 64 apple trees in a row. How many trees are there in all if there are 7 such rows?

4 There are 12 Scouts and Guides leaders in school. Each leader has 26 students in their team. How many students are there in total?

5 Write a word problem on multiplying two numbers.

Challenge

Critical Thinking

1 In a day Deepak swims a length of 50 m from the start point to the end and swims back to the start point. If he practises for 6 days, what total length does he swim in 6 days?

Worksheet 6: Chapter Checkup

1  Write 'T' for True and 'F' for False.

a 62 × 0 = 0

c 1 × 91 = 92

2  Find the product using the box method.

a 12 × 4

b 1 × 55 = 56

d 88 × 0 = 0

b 29 × 3

3  Multiply using the lattice method.

a 43 × 7

b 381 × 7

4  Find the product.

a 27 × 10 b 20 × 63

c 83 × 50 d 378 × 6

5  Find the estimated product by rounding off the bigger number to the nearest 10.

a 12 × 6 b 34 × 4

c 34 × 3

d 44 × 2

6  A bus that can seat 76 people makes 16 trips in a day. If the bus is completely full on all 16 trips, how many people travelled in the bus?

7  A crate holds 45 apples. How many apples are there in 12 such crates?

8 36 children paid ₹50 each at the entrance of Arignar Anna Zoological Park, one of the largest zoological parks in India. How much money was paid at the entrance?

9 In a multiplex theatre, there are 4 auditoriums. 425 people can sit in each auditorium. How many people can watch films in the multiplex theatre at one time? And how many at two times?

10  Write a word problem on multiplying two 2-digit numbers.

1 The product of two numbers is 60 and their sum is 17. What are the two numbers?

2  Fill in the blanks with the correct operation.

22 3 4 12 = 276

Worksheet 7: Real-Life Maths

Toll Plaza Charges

The money paid at the toll plazas on the highway is called toll tax. The money from the toll tax is used for repairing and maintaining the highways. The table below shows different tolls for cars in different toll plazas.

1 Which of these is the total toll tax paid for 2 cars at Manavasi?

2 The total toll cost for 3 cars at Debra is ₹ .

3 Find the total cost of the toll at Nashri for 7 cars.

4 What is the total cost of 10 cars passing through Manavasi and Debra?

5 What should we do to keep the toll plazas clean?

Name of the Toll Plaza Nashri Panchvati Manavasi Debra

Worksheet 8: Mental Math

1  Multiple choice questions.

a Which of these is equal to 80?

i 20 × 5

ii 20 × 4

iii 27 × 2

iv 25 × 3

b Which of these will be rounded off to 100 when rounded to the nearest 10?

i 49

ii 51 iii 99 iv 94

2  Multiply to fill in the blanks.

a 75 × 10 =

b 56 × 100 =

c 99 × 10 =

d 50 × 4 =

3  Write True or False.

a 240 × 0 = 240

b 200 × 1 = 200

c 84 × 2 can be rounded to the nearest 10 as 80 × 2.

4  Fill in the blanks with the correct operation.

a 3 120 = 100 3 60

b 25 30 = 20 40 50

5 a A box of custard apples is priced at ₹200. What is the cost of 4 such boxes?

b The product of two numbers is 1 more than their sum; what are the two numbers? and ________

6

Division

Aligned to NCERT Chapter: Ch. 7: Raksha Bandhan

Worksheet 1: Understanding Division

1 Circle the objects to share them equally among the number of people shown. a 4 people b 7 people c 9 people

2 Colour an equal number of balloons in red, blue and green.

3 Look at the picture. Draw apples to show an equal number of apples in each basket. Fill in the blanks.

Total number of apples = Number of baskets =

Number of apples in each basket =

4 Divide using the repeated subtraction method.

a  How many 1s are there in 9?

b  How many 11s are there in 22?

c  How many 9s are there in 27?

d  How many 8s are there in 32?

5 Kartik helps his parents with household chores. Today he helped his mother cook. Kartik made 15 rotis. If there are 5 family members in the house and each gets an equal number of rotis, how many rotis will each member get?

6 Naina has 36 matchsticks. If she uses 3 matchsticks every day, how many days will it take her to use up all the matchsticks?

Challenge Critical Thinking

1 Put the correct mathematical symbol to make the statement correct. 63 7 9 9 = 10

Worksheet 2: Division and Multiplication

1  Answer the following using the properties of division.

a  25 ÷ 1 = __________ b  12 ÷ 0 = __________

c  0 ÷ 5 = d  9 ÷ 9 =

e  0 ÷ 3 = f  15 ÷ 0 =

2  Fill in the blanks using multiplication tables.

Question

Multiplication Tables

a  60 ÷ 6 = × =

b  36 ÷ 4 =

c  56 ÷ 7 = × =

3  Write the divison facts for the multiplication facts. Multiplication Facts Division Facts

a  7 × 4 = 28

b  5 × 9 = 45

c  3 × 6 = 18

4  Find the divisor.

5 There are 18 cream rolls at a party. If each child gets 1 cream roll, how many children are there at the party?

6 A teacher had 45 notebooks to be distributed among 9 students so that each student gets 5 notebooks. Write the multiplication fact.

7 A group of students is conducting a project to clean up litter from a beach. They collected 36 pieces of trash in one hour. If they want to divide the trash equally into 4 bags for proper disposal, how many pieces of trash will go into each bag?

Create a word problem involving division of two numbers. Also write the multiplication fact.

1 Use multiplication and division to fill in the missing number of each fact family.

Worksheet 3: Chapter Checkup

1  Circle the objects to share them equally among the number of people shown.

3 people

8 people

6 people

2 people

2 Divide using the repeated subtraction method.

24 ÷ 3

3 Write the multiplication fact for the given division facts.

a  36 ÷ 3 = 12 × = b  88 ÷ 4 = 22 × =

c  96 ÷ 8 = 12 × = ______ d  40 ÷ 5 = 8 × =

4  Write two division facts for each multiplication fact.

a  9 × 5 = 45 ÷ = and ÷ =

b 4 × 8 = 32 ÷ = and ÷ =

c 5 × 3 = 15 ÷ = and ÷ =

d 7 × 2 = 14 ÷ = and ÷ =

5  Answer the problems using multiplication tables.

a 27 ÷ 9

b 45 ÷ 5

c 63 ÷ 7

d 35 ÷ 5

6 Write two examples for each property of division.

a When you divide any number by 1, you get the same number.

b  When you divide any number by itself, the answer is always 1.

c  When you divide 0 by any number, the answer is always 0.

d  You can’t divide any number by 0. There is no answer.

7 There are 20 toy cars to be divided among 20 children. How many toy cars will each child receive?

8 Ruma baked 32 cupcakes. If she distributes them equally among 4 children in an NGO, how many cupcakes will each child get?

9 A group of 36 people were travelling to see the 7 wonders of the world. When they reached Agra to see the Taj Mahal, the travel guide divided them into groups of 6. How many groups did the travel guide form? Challenge

1 Use any two numbers from the box to complete the division sentence on the caterpillar.

2 Each row and column is a division problem. Write the possible numbers in the empty spaces.

Worksheet 4: Real-Life Maths

Aquarium Arrangement

A marine biologist is a scientist who studies sea animals and their homes. Mr. Sharma is a marine biologist. He made an aquarium for a local science museum. The aquarium has 27 different types of fish. He wants to put these fish into 3 tanks, with each tank having the same number of different types of fish.

Answer the following questions:

1  How many types of fish are there in each tank?

2  Write the division sentence for the number of fish in each tank.

3 If Mr Sharma had 36 different types of fish and still used 3 tanks, how many types of fish would each tank have? a  10 b  11 c  12 d  13

4 If Mr Sharma had 18 types of fish and 3 tanks, each tank would have 6 types of fish. (True/False)

5  What should we do to protect sea creatures?

Worksheet 5: Mental Maths

1  Fill in the blanks.

a  20 ÷ _________ = 5 b   56 ÷ 7 = c _________ ÷ 7 = 2. d  72 ÷ 9 =

2 Circle the following objects to divide them equally among Sam, Ray and Harry.

a b c d

3 Write True or False.

a The division fact of 12 × 4 = 48 is 48 ÷ 12 = 4.

b Division is the same as subtraction.

c 0 divided by 40 is 1.

d There are 4 weeks in 28 days.

e Multiplication fact of 12 ÷ 3 = 4 is 3 × 6 = 12.

4 Who am I?

I am a number. When you divide me by 4, you get 7. What number am I?

5 In 25 ÷ 5 = 5, what are the dividend, divisor and quotient?

Dividend = Divisor = Quotient =

Worksheet 1: Long Division Aligned to NCERT Chapter: Ch. 3: Raksha Bandhan

Find the quotient using the long division method.

68 ÷ 4

Find the quotient and remainder.

55 ÷ 3

Solve and check your answer.

72 ÷ 6

Match the following.

a  (7 × 5) + 3

b  (12 × 4) + 1

c  (9 × 6) + 5

d  (5 × 8) + 4

e  (20 × 2) + 1  59

Rohan took biscuits for hungry puppies to an animal shelter. There are 57 puppies at the shelter. If each doghouse can hold 9 puppies, how many puppies will be left without a doghouse?

You have 3548 flower seeds. How many seeds will you be left with after planting them in rows of 6?

Water is being collected from various localities at regular intervals to check the level of impurities in it. There are 74 cups of water samples collected from various localities. If each tray holds 8 cups for checking impurity levels, how many trays will be needed?

1 When I divide my number by 7, I get 560. When I divide the same number by 56, what will I get?

Worksheet 2: Chapter Checkup

1  Find the quotient. a 6 9 0 b 4 5 2

7 8 4

2  Find the remainder.

3  Solve and check the divisions.

4  Fill in the blanks with the help of long division. a  (10 × 4) + = 43 b  ( × 2) + 1 = 49 c  ( × 6) + 2 = 50 d  (7 × 9) + = 64

5  At a zoo, there are 5245 tickets to be sold. If each booklet contains 5 tickets, how many booklets need to be prepared?

6  A firefighter is a person whose job is to put out fires and help people in emergencies. There are 720 firefighters at the fire station, and they need to form 3 equal teams to go to different parts of the city. How many firefighters will be on each team?

1 What number needs to be added to 156 so that it can be divided by 7 without a remainder?

2 The diagram shows a staircase with 16 steps having the same length and a total height of 256 cm.

Answer the questions.

a What is the height of each of the 16 steps?

b If the length of the staircase is 600 cm, what is the length of each step?

Exploring Ancient Egypt

The ancient Egyptians constructed massive pyramids and temples using large stone blocks. To move these heavy stones, they used teams of workers. Historians estimated that a single, large stone block could weigh up to 56 tons.

Answer the following questions:

1 If the Egyptians divided the weight of the stone (56 tons) equally among the 8 workers, how many tons would each worker have to move?

a  2 tons b  5 tons c  7 tons d  50 tons

2 If they had only 4 workers available, how much heavier would each worker�s load be compared to having 8 workers?

a  Twice as heavy b  Three times as heavy

c  Five times as heavy d  Ten times as heavy

3 Dividing the weight of the stone by the number of workers makes the stone lighter. (True/False)

4 The fewer workers they have, the less each worker needs to carry. (True/False)

5 The 8 workers are going to move the 56-ton block using levers. What�s one important thing they should remember to do so everyone stays safe and healthy?

Worksheet 4: Mental Math

1  Choose the correct option.

a  18 ÷ 3 = . i  4 ii  5 iii  6

b  How many groups of 7 are there in 56?

i  5 ii  9 iii  8

c  7042 ÷ 1 = . i  1 ii  7042 iii  742

d  The divisor in 666 ÷ 3 is . i  3 ii  6 iii  0

2  Write True or False.

a  When you divide 50 by 10, you get a quotient of 5.

b  If you divide 40 marbles by 8, each bag will have 5 marbles left over.

c  12 ÷ 4 = 3, means that 4 multiplied by 3 equals 12.

d  If we divide 20 into groups of 5, there will be 3 groups.

3  Fill in the blanks.

a (12 × ) + 2 = 50.

b (5 × 5) + 3 = .

c ( × 7) + 1 = 50.

d (12 × ) + 2 = 110.

4 a I am thinking of a number that, when divided by 3, gives a quotient of 5 and a remainder of 1. What is the number?

b I am thinking of a number that, when divided by 4, gives a quotient of 6 and a remainder of 2. What is the number?

5  Circle the correct division equation for the given question.

a  24 ÷ 2 = 12 b  24 ÷ 4 = 6

Shapes and Patterns

What is the shape of these objects?

Colour the squares red, circles orange, rectangles pink and triangles brown, in the given picture.

Count and write the number of shapes in the figure.

Write True or False.

a  A triangle has 3 curved sides.

b  The opposite sides of a rectangle are equal in length.

c An oval has 0 sides and 0 corners.

d The 4 sides of a square are straight sides.

Create a figure using these shapes. You can use them any number of times.

1 The square figure is made with smaller squares. Count and write the number of squares. Challenge

Worksheet 2: Symmetry and Maps

Which of these shapes show symmetry along the dotted line?

Draw a line of symmetry on these figures.

Draw the mirror image of these figures along the mirror line.

a b c

Colour the other grid such that it is the mirror image of the coloured grid given.

Use the map showing Sujata�s grandparents� village. Answer the questions.

a Go 4 steps up from the house and then 1 step to left then you will reach the .

b Go 2 steps up and 2 steps right from the school and you will reach the .

c Write a way to the park from the fire station such that the hospital doesn't come in between.

Colour the grid in yellow and blue such that one side is the mirror image of the other.

1 Muggu is another name for rangoli in Andhra Pradesh. Ratna draws a rangoli design on paper, as shown. She is trying to see two equal halves in the design by drawing lines. What lines are these? Can you draw them?

Worksheet 3: Features of 3-D Shapes

Name the solid shapes of objects.

Match the descriptions with the solid shapes.

a  6 plane rectangular faces

b  Only 1 curved face

c  1 plane and 1 curved face

d  6 plane square faces

e  2 plane faces and 1 curved face

Cube

Cone

Cylinder

Cuboid

Sphere

Ramya made 3-D shapes using toothpicks and clay. She used 8 clay balls and 12 toothpicks of the same size. Which 3-D shape did she make? Find out by drawing the shape in your notebooks.

Name 3 solid objects that, when traced, give rectangles. Trace one of them.

1 Yohaan put together 5 sugar cubes, one on top of the other. Which new 3-d shape did he make? What 2-d shapes will he get on tracking the sides of the new 3-d shape?

Worksheet 4: 3-D Shapes as 2-D Shapes

Which view shows these objects from the side?

Look at the pictures. Draw the top view of these objects.

Draw your maths textbook from the top and any one side. What shapes do you get in each drawing? Draw the net of the 3-D shape that the textbook looks like.

1 A net where all the faces are rectangles belongs to which solid shape? Draw it.

Worksheet 5: Understanding Patterns

Colour the units to complete the pattern. a b

Extend the pattern by drawing the next 3 figures.

c d

e  28, 32, 36, 40, , ______, f  95, 85, 75, 65, , ______,

Which of the following is NOT a tiling pattern? a b c d

Decode the secret message.

1 Braille is a special way of reading and writing for blind people. It uses the dots as shown. If the given image shows the Braille alphabet, code your name using them.

Worksheet 6: Chapter Checkup

1 a  Write the number of shapes in the given figure.

b Colour the squares pink, circles red, triangles green and rectangles blue.

Square = Rectangle = Triangle = Circle =

2 Draw one line of symmetry on each figure.

3 Name the 3-D shape of the given objects.

4 Draw a net of the cardboard boxes used for packing cake.

5 Draw a mirror image of the given picture.

6 Complete the patterns. a b c

7 Complete the number patterns.

a 12, 16, 20, 24, 28, , ,

b 48, 56, 64, 72, , ,

c 32, 37, 42, 47, , ,

d 29, 32, 35, 38, , ,

8 Colour to complete the tiling patterns.

9 Draw and write the shape of a table when seen from the side and the top.

10 a Make a tiling pattern of your own choice by colouring the shapes.

b Draw another tiling pattern using triangles, rectangles and squares. Colour it.

Anaya places 3 cubes next to each other in different ways. In how many ways can she do it? What possible shapes will she get by joining 3 cubes?

How many different triangles can be made using the dots on this circle?

Worksheet 7: Real-Life Maths

Maps

Sara and her friends are planning a swim party at her place after the football match. Sara draws a map to explain the path. Read the map to answer following questions.

1 Which place does the �+� sign show?

3 Which place does the (H) sign show? a  Hospital

2  Circle the picture on the map that shows the football ground.

Hotel c  Guesthouse d  Sara�s house

4 Find the way from the football ground to Sara�s house.

5 Which view (top/front/side) is given for the parking area?

Worksheet 8: Mental Maths

1  Complete the following patterns.

a  4, 5, 7, 10, , , b  AB, EF, IJ, MN, , ,

2  Draw the line of symmetry in the following shapes. a b c

3  Write the view that is shown in the following objects.

ii

4 a Identify the tiling pattern. Write Yes or No.

b  Sara is selling candies at her shop:

i  If the pattern continues, how many candies will Sara sell on Friday?

25 B  24

ii If Sara decides to sell 10 ice creams along with the candies, how many total items will she sell on Saturday?

28

Length, Weight and Capacity

Worksheet 1: Measuring Length

1  Write the suitable unit to measure the following. a  The distance between two cities b  A pipe c  A phone

2  Measure and write the length of the following objects. a b

3  Convert the following into cm.

4  Convert the following into m.

5 A mobile tower is communication equipment installed to support better phone networks. A mobile tower with a height of 14 m is mounted on top of a building which is 22 m high. What is the total height of the tower from the ground?

6 The length of a monitor lizard is about 2 m, and the length of a python is about 6 m. Which is longer and by how much in cm?

Challenge

Critical Thinking & Art Integration

1 Look at the metre tape given below. How many more boxes do you need to colour to show 1 m 30 cm? Shade in the metre tape. 10 cm

Metre

Worksheet 2: Measuring Weight

1  Write the correct unit to measure the weight of the given objects. a  Feather b  Car c  Pillow

2  Convert kg into g. a  8 kg b  9 kg c  1 kg 500 g

3 Farah has a pet cat which weighs 3 kg and 600 g. How much does the pet weight in grams?

4 A wholesale vegetable market is called a sabzi mandi in Hindi. Shalu went to the sabzi mandi and bought 4 kg of vegetables and 5 kg of fruit. How much more fruit did she buy than vegetables?

5 The weight of a watermelon is 5 kg. Seema cuts it into two pieces. The weight of one of the pieces is 2 kg. What is the weight of the other piece?

Challenge

1 3 blocks of wood A, B and C have different weights. Without using the weights, and just using the pan balance, can you tell which one is heavier? Write the process.

Worksheet 3: Measuring Capacity

1  Circle the items that are measured in mL.

Items a  Cough syrup

b  Syringe c  Tub of water

2  Convert the following into mL. a  2 L

3 Lemonade is a drink made with lemon, water and sugar. It is an easy way to get a dose of Vitamin C. Rohan wants to make lemonade for his friends. He needs 3 litres of water for the recipe. How many millilitres of water does he need?

4 Taking care of plants by watering them is a good habit. Mohan filled a 500 mL water bottle three times to water his plants. How much water did he use in total?

5 Raju poured 4 L of water into a jug and then transferred 750 mL of the water into a glass. How much water is left in the jug?

6 Mohit bought a car with a fuel tank of capacity 38 L, while Soham bought a car with a fuel tank of capacity 45 L. What is the total capacity of both tanks?

1 Ramesh the milkman has jars with capacities of 2 L, 4 L and 6 L. The 6 L jar is filled with milk. He needs to give 3 L of milk to a customer. Find a way to measure the 3 L of milk.

Worksheet 4: Chapter Checkup

1  Circle the object whose capacity is measured in litres (L).

a  Tank of water b  Spoonful of oil c  Cough syrup

d  A jug of lemonade e  Petrol tank f  Glass of juice

2  Circle the object which is measured in metres (m).

a  The length of a spoon b  The height of a tree c  The width of a book

3  Circle the object which is measured in kilograms (kg).

a  An empty box b  A banana c  A cylinder

4  Find the length in cm.

5  Convert the lengths into centimetres (cm). a  5 m

6  Convert the lengths into metres (m).

a  200 cm

b  300 cm

c  1000 cm

7  Convert the weight into grams (g).

a  8 kg b  9 kg c  7 kg 450 g

8  Change litres (L) into millilitres (mL).

a  2 L b  7 L c  4 L

9 A fully growth goliath frog found in central Africa weighs 3 kg 250 g. How much does the frog weigh in grams?

10 When Ahana brushes her teeth, she leaves the tap running. She uses 5 L 500 mL of water. Sameer only turns on the tap when he rinses his mouth after brushing his teeth. He uses 1 L 200 mL of water. How much water does Sameer save?

1 A ribbon of length 1 metre is cut into 4 equal pieces. How many cuts were made?

2 In Hina�s house there are six trees growing in a line at intervals of 3 metres. Can you tell the distance between the two trees at either end?

Summer Time Activity

Fruit smoothies are a mixture of fruits, milk and sometime nuts. Yash is free, as his school summer break is going on. He helps his father in the kitchen to make fruit smoothies for his family. He uses 225 mL of milk, 2 bananas and 50 g of sugar for a banana smoothie. He also makes a mango smoothie and uses 225 mL of milk, 1 mango, 20 g of sugar, 10 g of nuts and some ice cubes. Read and answer the questions.

1  What quantity of nuts does he use in a mango smoothie?

a  10 g b  10 mg c  10 kg d  10 m

2  How much milk does he use in both smoothies?

3 If he has 1 kg of sugar, how much will be left with him after he makes both the smoothies?

4  Do you help your parents with house chores? How?

Worksheet 6: Mental Maths

1  Write True or False.

a The weight of an apple is measured in kg.

b The length of the building is measured in m.

c The capacity of the swimming pool is measured in mL.

d The distance between the cities Mumbai and Delhi is measured in m.

Orange Smoothie Orange Banana Avocado
Mango M
Almond milk Pineapple juice

2  Match the following units.

a 12 m 10 cm 7 kg

b 7000 g 1210 cm

c 6 L 250 mL 4 L

d 300 cm 5650 g

e 4000 mL 3 m

f 5 kg 650 g 6250 mL

3  Solve.

a 100 cm + 3 m = m. b 5 km + 4000 m = m.

c 10 L – 5000 mL = mL. d 4000 g – 4 kg = g.

4 Simmi is carrying a bag which can hold the weight of 5kg. Circle the items that she can carry in the bag.

5  Fill in the boxes using <, > or =.

a 39 m 390 cm b 200 mL 2 L

c 5 km 500 m d 25 kg 2500 g

Worksheet 1: Reading Time Aligned to NCERT Chapter: Chapter 13: Time Goes On

1  What do A and B show on the clock?

2  Look at the minute and hour hands. What time is it? a b c d

3  Read the time of Sai’s daily activities. Fill in the blanks with a.m. or p.m.

a  Sai wakes up at 7 in the morning.

b  He reaches school by 9 in the morning.

c  Sai comes back from school at 1 after noon.

d  He goes to play with his friends at 6 in the evening.

4  Draw the hour hand and the minute hand to show the time on the given clocks. a 5 minutes past 2 b 40 minutes to 3 c Half past 10 d Quarter past 1

5 The August Kranti Rajdhani Express runs between Delhi and Mumbai at 5:30 p.m. every day. It reaches Mumbai Central the next day at half past 10 in the morning. Write the times in a.m. and p.m.

Challenge

1 Sneha reaches the lunch room 5 minutes before 12 noon. Veena reaches 5 minutes after 12 in the afternoon. Whose time is in a.m.? Write that time.

Worksheet 2: Units of Time on a Clock

1  Fill in the blanks.

a  The minute hand of a clock completes one round in minutes.

b  The hour hand of a clock completes one round in hours.

2  How many hours/minutes have passed between the times given?

a  3:00 to 4:00 b  4:00 to 7:00 c  11:45 to 12:00 d  3:30 to 5:45

3  Write whether the activity will take minutes or hours to complete.

a  Filling a glass of milk

b  Watering a plant

c  Eating a banana

d  Washing, ironing and folding some clothes

4 A marathon is 26.2 miles long. Eliud Kipchoge also completed a marathon in around 2 hours at the Berlin Marathon on September 25, 2022. In how many minutes did he complete the marathon?

5 The Shatabdi Express is a day train that runs between Delhi and Meerut. Vibu started at 6:45 a.m. from Delhi and reached Meerut at 8:00 a.m. How many minutes did the train take?

Challenge

1 If = 1 hour and = 10 minutes, then how will you represent 160 minutes using these symbols?

Worksheet 3: Reading a Calendar

1 Match the units of time on a calendar.

a  2024 Day of the week

b  January Month

c  26th Year

d  Friday Date of the month

2 Write True or False.

a  Sunday is a month.

b  December is a month.

c May is the first day of the week.

d A leap year has 29 days in February.

3  Read the calendar. Fill in the blanks.

a There are (5/4) Sundays in this month.

b The month starts from (Monday/Tuesday).

c On 25 May, the day is (Tuesday/Thursday).

d 2 May is a Tuesday. The next Tuesday will be on __________ May.

e  In this month, Saturdays are on the dates 6, , and .

4 Anand has been practising for a dance performance for two weeks now. How many days has he practised?

5 Look at the May 2034 calendar in Q3 and create a calendar for the month of June 2034. Use colours to decorate it.

6 26 January—Republic Day is a national holiday in India. The Constitution of India was adopted by the Constituent Assembly on 26 November, 1949 but was implemented on 26 January, 1950. How many months did it take to implement the Constitution?

Challenge

1 How many leap years are there between the years 2014 and 2058?

Worksheet 4: Timelines and Ages

1 There are 5 festivals in the month of October and November. The table shows the festivals in a particular year. Draw them on a timeline.

Navratri Starts Diwali Dusshera Bhai Dooj Guru Nanak Jayanti 3 October 1 November 12 October 3 November 27 November

2 The table shows the months in which the school is planning sports events in the year 2024. Draw this sports schedule on a timeline.

February November December October August

3  Read the timeline. Answer the questions. Rina was born Rina went to school Rina's baby sister was born Rina won a dance competition Rina went to college Rina got a job

a  In which year was Rina born?

b  How old was Rina when her sister was born?

c  How old was she when she won the dance competition?

d  How old will Rina be in 2034?

4 Tinu was born on 31 July 2015. His friend Mitu was born on 31 July 2021. Who is older? By how many years?

1 Seema is twice as old as her brother. She is also 10 years older than her brother. Guess the ages of Seema and her brother.

Worksheet 5: Chapter Checkup

1  Look at the minute and hour hands. What time is it? a b c

2  Draw a clock to show the times given. a  10 minutes past 12 b  Half past 1

3  How many hours have passed between the times given? a  5:20 to 7:20 b  9:15 to 11:15

4  Write the time using a.m. or p.m.

a 7:30 in the morning b 6:15 in the evening

c 5 minutes to 12 midnight d 5 minutes after 12 midnight

5 Write if the following activities would take less than a minute, some minutes or hours to complete. a Making tea b Washing a shirt c Blinking your eyes 5 times d A picnic day

6  Fill in the blanks.

a  The date on the last day of the year is always December.

b  If today is 30 April 2023, the date tomorrow will be .

c  If today is 12 June 2023, yesterday’s date was .

d  If today is Monday, 1 June 2023, the date after a week will be .

7  Draw a timeline with the following events in Virat Kohli�s life.

8  Draw a calendar for the month of July. The month starts on a Sunday. Then, answer the questions.

a  How many Sundays are there in the month?

b  What is the date on the 2nd Saturday?

c  Write the dates of all Mondays

9 Rama woke up at 7 o’ clock in the morning and went to bed at 9 o’ clock that night. Write the time she woke up and went to bed, using a.m. and p.m.

10 Aditi turned 7 years old on 28 August 2007. In which year will she be 14 years old?

1 Today is Monday, 17 April 2023. Arun’s uncle is coming to stay with them after 5 days. On what day and date will Arun’s uncle come?

2 How many times between 3 p.m. and 6 p.m. do the hour hand and the minute hand coincide? Justify your answer.

Worksheet 6: Real-Life Maths

Railway Station

Priya is travelling to Indore for her cousin�s wedding. She went to the railway station to board a train. Outside the railway station she saw a clock showing 3:00 p.m. Priya knew that there were still 50 minutes for her train to leave. The train was late and finally arrived 50 minutes after the actual departure time. Read the questions and answer them.

1  The train was delayed by minutes.

2  What was the actual time of Priya’s train?

a  3:50 a.m. b  3:50 p.m.

c  3:00 p.m. d  4:05 p.m.

3  At what time did the train finally arrive?

4  Was the train delayed by an hour?

5 A sweeper cleaned the platform for an hour. How many minutes did he clean the platform for? How do you help in keeping the platforms clean?

Worksheet 7: Mental Maths

1  Tick () the time shown on the clock.

a 08:10  10:08 b 4 o’ clock 12 o’ clock c Half past 5 Half past 3

2 Tick () the correct answer.

a If today is Wednesday, what day will it be 5 days from now?

i Tuesday ii Monday iii Sunday

b How many days are there in February in a leap year?

i 28 ii 29 iii 30

c How many minutes are there in an hour?

i 60 ii 50 iii 30

d Which month comes after August?

i October ii July iii September

3  Write True or False.

a The minute hand of a clock takes 1 hour to complete one full circle.

b  There are 365 days in a leap year.

c A day has 12 hours.

d The day after Monday is Sunday.

4  Answer the questions in one word.

a I am twice as old as I was 2 years ago. I am half the age I will be in 4 years. How old am I now?

b Lily has lunch at 12:45. Is that in the AM or PM?

c If it is 11:30 now, what will the time be in 45 minutes?

Money

Aligned to NCERT Chapter/s: Ch. 7: Raksha Bandhan Ch. 12: Give and Take

Worksheet 1: Writing Rupees and Paise

1 Write the amount in words.

a  ₹28.50 = b  ₹36.25 =

c  ₹49.70 = d  ₹57.35 =

2 Write the amount in numerals.

a  fifty-six rupees seventy paise

b  twenty-nine rupees eighty-eight paise

c  thirty-five rupees fifty-seven paise

d  sixty-eight rupees fifty paise

3 Count the money and write the amount in figures.

4 Fill in the blanks.

a  ₹25.36 = paise b  802 paise = ₹

c  2125 paise = ₹ d  ₹125.36 = paise

e  36125 paise = ₹ f  ₹358.80 = paise

5 The price of petrol in Mumbai as of July 2024 was ₹103.44. Write the amount in words.

6 Mahi feels bad that she has more money in her gullak than her younger sister Meher. How much money should she transfer from her gullak to Meher's gullak so that they have the same amount of money?

Mahi�s Gullak: One note of ₹50, one note of ₹20, coins of ₹10, ₹5 and ₹5

Meher�s Gullak: Three notes of ₹20 and one coin of ₹10

1 Make ₹639 with exactly 3 notes and 4 coins. List them.

Worksheet 2: Word Problems on Money

1 The price of a lunch box is ₹85.50, but Priya only has ₹72. How much more money does she need, to buy the lunch box?

2 Vaibhav saved his pocket money to buy a football for ₹50.50. He then shared the idea of saving money with Neeraj who saved ₹75.00. How much money did they save together?

3 The price of a cricket bat is ₹235.50, and a ball costs ₹45.00. What is the total price of the bat and the ball?

4 Snake plants and money plants can purify the air and are easy to care for. Divya spent ₹ 238 on the snake plant and ₹ 125.50 on the money plant. How much did she spend in total?

5 John and Maria have ₹284.50 and ₹156.00, respectively. Richa has an amount equal to the difference between the amounts John and Maria have. What amount does Richa have?

Challenge Critical Thinking

1 Anand bought a pencil box. He gave ₹100 to the shopkeeper and got ₹28.50 back. What was the cost of the pencil box?

Worksheet 3: Making Bills

1 Vipin went to a nearby store to buy the following items. What total amount does he need to pay?

2 Manya went to buy some items from the nearby store. The shopkeeper gave her the following bill. Is the bill correct? If not, prepare the correct bill for her.

New Era Store

3 Sam purchased the following items from the nearby supermarket: Two ice creams for ₹20.00 each. Three packets of cookies for ₹15.00 each. One packet of chips for ₹24.50. Two bottles of juice for ₹26.00 each. Prepare a bill and find the amount paid by Sam.

4 A supermarket is a self-service shop. It is big and has a variety of products. Ravi, Joe and Tanya went shopping to a supermarket. Look at the items and their prices. Fill in the table.

Ravi Buys Joe Buys

Tanya Buys

a 2 bananas for ₹ 1 banana for ₹ 5 bananas for ₹

b 1 teddy for ₹ 1 teddy for ₹ 1 teddy for ₹

c 5 toffees for ₹ 2 toffees for ₹ 4 toffees for ₹

Amount paid = ₹

Challenge

Amount paid = ₹

Amount paid = ₹

Critical Thinking

1 Sahil had a ₹200 note with him. He went to buy some fruit from the nearby fruit store. He added 4 apples costing ₹20.00 each, 3 oranges costing ₹8.00 each, 1 papaya costing ₹35.50 and 4 guavas costing ₹12.00 each to his shopping cart. Will he be able to purchase all the fruit he added to his cart?

Worksheet 4: Chapter Checkup

1  Write the amount in words.

a  ₹52.36

2  Write the amount as numerals.

a  thirty-eight rupees sixty-five paise

b  twenty-nine rupees fifty-five paise

3  Convert the amount given in rupees to paise.

a ₹25.15 b ₹52.25 c ₹235.48

4  Write the amount in rupees.

a  3256 paise b  15236 paise c  52364 paise

5  Match the amounts in rupees and paise. In rupees In paise

a ₹2.35  348 paise

b ₹3.48  3480 paise

c ₹23.56  235 paise

d ₹34.80  2356 paise

6  Look at the bills and write the errors you find in the bill.

7 Divya purchased some items from the nearby store. Prepare a bill and find the amount paid by Divya.

Three packets of rice for ₹45.00 each. Two packets of chips for ₹18.00 each. One packet of milk for ₹17.50.

8 Baking is a way of cooking by using heat in an oven. Seema is a baker who makes cupcakes. A pack of cupcakes costs her ₹136.50 to make. Each pack uses ₹55 worth of sugar. How much money does she spend on the other ingredients?

9 Reena has to pay school fees of ₹535.50 but she has only ₹425.00 with her. How much more money does she need?

Challenge

1 Raman made a bill for 5 packets of biscuits, each costing ₹12.00, and 2 cans of juice, each costing ₹35.00. The customer gave him a ₹200 note. How much change will Raman return to the customer?

2  Who has more money, and by how much? Ajay had these coins in his pocket. Rahul had these coins in his pocket.

Worksheet 5: Real-Life Maths

Ancient Money

Long before the use of metal coins, people in our country used kauris (sea shells) as money. Sheena and her friends were playing with the kauris to buy things. They decided that 1 paisa = 10 kauris and 1 rupee = 100 paisa. Read the questions and answer them.

1  How many kauris will make one rupee?

a  10

b  100

c  500

d  1000

2  If a toy costs 10 paisa, how much will it cost in kauris?

3 Convert 5 rupees into paisa.

4 If you want to choose something for your own currency (like the rupee and paisa in India), what will that thing be and why?

Worksheet 6: Mental Maths

1  Look at the bills given below and tick () the correct bill.

a Fresh Mart Store

2  Fill in the blanks

a  180 paise = ₹ b  220 paise = ₹

c  ₹10.05 = paise d  ₹5.50 = __________ paise

3  Place <, > or = sign in the given box. a  ₹20 + ₹30 300 paise. b  700 paise – 100 paise ₹8

c  150 paise + ₹10 ₹11.50

4  Solve.

a  ₹15 + 300 paise + ₹30 = ₹

b  ₹100 – 100 paise = ₹

5  How much money do these make? a

Fractions

Worksheet 1: Parts of a Whole

1  Write the fraction for the shaded portion in each figure.

2  Colour each shape to represent the given fraction.

a half or 1 2 b Three-fourths or 3 4 c one-third or 1 3

3  Match the shaded figures to the fractions they represent.

One-fourth c Three-fourths

4  Shade one-third or 1 3 of each shape.

Evaporation is the process by which water turns into water vapour. 4 cups of water was boiled and 2 cups of water evaporated. What fraction of the water turned into water vapour?

Challenge

Critical Thinking

1 Rajiv folded a sheet of paper. First, he folded it in half. Then, he folded it in half again, and one more time. After opening the paper, he coloured each equal part in different colours. What fraction represents each of these equal parts?

Worksheet 2: Fraction of a Collection

1

Colour to show the given fraction of the collection.

2

a 1 2 c 1 3 d 1 4

Write True or False.

a 1 4 of 16 apples is 4 apples.

c 1 3 of 6 mangoes is 6 mangoes.

b 1 2

b 1 2 of 10 pears is 2 pears.

d 2 3 of 18 grapes is 6 grapes.

a 1 2 of 18 b 1 3 of 9

c 1 3 of 21 d 1 4 of 12

Ramya had 12 plants. She put 1 3 of the plants in her living room. How many plants did she put in her living room?

Draw a shape or figure and divide it into parts and shade parts to show any fraction.

1 There are 12 bears in a zoo. 1 3 of them are brown. The number of black bears is twice the number of brown bears. Are there any other colour of bears in the zoo?

Worksheet 3: Identifying Fractions

1 What fraction of the given figures is shaded?

2 Colour to show the given fraction.

3 Write the fractions for the coloured and uncoloured parts of the collections.

4 Kavya places 17 roses in a beautiful vase. It holds 8 red roses and 9 pink roses. What fraction of the roses are red?

5 The students of Class 3 collected 24 waste bottles for a recycling project. One-half of the bottles were plastic. How many bottles were plastic?

6 Vishal has 12 shirts. 1 4 of his shirts are blue. How many shirts are blue?

1 4 5 of a certain number of buses is 16. What is the total number of buses?

2 Look at the given figure. What fraction of the figure is left unshaded?

Worksheet 4: Chapter Checkup

1  Write the fractions.

a  Half = b  One-third = c  Three-fourths = d  Numerator: 5; Denominator: 8 =

e  One-fourth = f  Numerator: 7; Denominator: 12 =

2  Write the fraction of the given collections.

Collection of Objects Fraction Green capsicums = Yellow capsicums = Pink stars = Blue stars =

3  Colour as per the fractions given.

4  Solve.

5 Tim has a cake. He wants to share it equally among him and his 4 friends. If the cake is divided into 5 equal parts, what fraction of the cake does each friend get? Do you share things with your friends?

6 Meena bought 9 flowers from the market, of which 1 3 were tulips. How many of the flowers were tulips?

7 Manya planted 6 plants in her garden, of which 2 were rose plants. What fraction of the plants were rose plants?

8 There are 24 apples in a basket. If 1 4 of the apples are rotten, how many apples are still good?

1 Use the clue to find the correct fraction from the given possibilities of images. Clue: I am less than 2 and a half wholes. I am more than a whole. You can make me out of 4 halves. What am I?

2 Show and colour halves in 4 different ways in the given figure.

Balanced Diet

A balanced diet is very important for our body. It includes a variety of food groups, such as fruits, vegetables, grains and proteins. Each food group should make up a certain portion of our daily intake. Riya’s parents give her a balanced meal, this is what her plate looks like.

1 What fraction of a healthy plate is filled with fruits and vegetables? a 2 8 b 1

2 The fraction of proteins in the plate is .

3 Write if True or False.

a  Grains cover 2 8 of the plate. b 3 4 of the plate is proteins.

4 What fraction of the plate is not proteins?

5 Do you eat healthy food? Grains

1  Multiple choice questions. a  What fraction of the apples is grouped?

b  What is 1 4 of 12?

Worksheet 6: Mental Maths

c  What fraction is not coloured pink?

i 7 12 ii 5 12 iii  12

2  Fill in the blanks.

a  A fraction representing 5 parts out of 7 is .

b One-fourth of 20 is .

c 2 8 represents parts out of 8 parts.

3  Write True or False.

a To find 1 3 of a collection, we divide the number of objects into 3 equal parts.

b 1 4 of 8 berries is 4 berries.

c The picture shows one-third of the coloured crayons.

4  Tick () the one which has an error?

a 1 2 of 30 = 15 b 2 3 of 30 = 20

c 3 4 of 30 = 12 d 1 5 of 30 = 6

5  Answer the questions.

a 3 7 of a shape is coloured, what fraction is not coloured?

b What fraction is 2 out of 10 shells?

Data Handling

to NCERT Chapter/s: Ch. 1: What’s in a Name?

Data Tables

Write True or False.

a  Raw data is an organised form of data.

b Writing the numbers in ascending or descending order makes it easier to find the greatest or smallest from the data.

c  Collecting data makes it easy to understand.

d  The data collected from surveys is called raw data.

Organise the raw data of marks obtained in maths out of 100, from the highest to the lowest. 65, 70, 78, 58, 80, 98, 45, 77, 99, 83, 89.

Fruits are very good for you because they have fiber, which helps your stomach and intestines work well and stay healthy. The choices of fruit of 28 students in a class are given below. Draw a table to show the data. Apple, Orange, Banana, Mango, Apple, Grapes, Banana, Grapes, Apple, Grapes, Banana, Mango, Apple, Grapes, Mango, Apple, Banana, Grapes, Mango, Banana, Apple, Orange, Mango, Orange, Grapes, Banana, Orange, Mango

Grains are the harvested seeds of grasses. They are common staple foods. They are also called cereals. Given below is the data showing the grain that some people eat. Read the data and fill in the blanks.

a The number of people who eat barley is .

b The number of people who eat ragi is ___________ (more/less) than those who eat rice.

c The most people eat as their main food.

1 The table shows the sale of cutlets in 2 shops for 4 weeks. Look at the table and answer the questions.

a If Shop A sold half the number of cutlets in Week 5, than it sold in Week 4, how many cutlets did it sell in Week 5?

b If Shop B sold 10 more cutlets in Week 2 and Week 3 each, how many more did it sell in these 2 weeks than Shop A?

Worksheet 2: Pictographs

Write True or False.

a  A pictograph represents data using pictures and objects.

b  In a pictograph, more pictures mean a bigger number.

c  Pictographs help us understand and interpret the data.

Draw the symbols to complete the pictograph for the data. = 2 children

The pictograph shows the number of books borrowed from the library on different days of the week. Read the pictograph and answer the questions. = 2 books

a How many books were borrowed on Wednesday?

b On which day was the highest number of books borrowed and how many?

c What is the difference in the number of books borrowed on Tuesday and Thursday?

Draw a pictograph for the given data. Key: = 1 ice cream

Segregating waste makes it easier to recycle materials. The pictograph shows the number of households that segregate different types of waste. Read the graph and answer the following questions.

Key: 1 bin = 1 unit

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

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

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

Create a new question on the pictograph shown in Q5.

1 Look at the pictures and answer the questions.

a  If = 10 animals, pictures will be drawn for 50 animals.

b  If 2 = 10 snowflakes, pictures will be drawn for 20 snowflakes.

Worksheet 3: Bar Graphs

The data shows the number of people who use different modes of transport. Draw a bar graph to show the data.

The data shows the number of states in 4 countries. Draw a bar graph for the data given in the table.

Country Myanmar Nepal Bangladesh Bhutan

Drinking the right amount of water is important because it helps your body work properly. The bar graph shows the number of glasses of water that 5 students drink in a day. Read the bar graph and answer the questions.

a Who drank the most and least number of glasses?

b How many more glasses did Nimisha drink than Rajat?

c How many fewer glasses did Raghav drink than Shoaib?

Read the bar graph showing the favourite TV channels of children in a class. Answer the questions.

a  How many children like sports?

b Which channel is the most popular and how many children like it?

c What is the difference of the number of children who like sports and the number of children who like adventure?

d On how many children was the survey conducted?

Create a question on the bar graph given in Q4.

Challenge

1 The bar graph shows the story books read by students of class 3 in their summer break. Read the questions and answer them.

a If 2 more students read the story, �Red Riding Hood�, then which two books will show the same bars?

Critical Thinking

b If the scale shows 1 division = 2 books, how many divisions will you colour for, �Beauty and the Beast�?

Worksheet 4: Chapter Checkup

1 The data given below shows the favourite colour of the students in a class. Organise the data in a table.

Orange, Pink, Blue, Yellow, Black, Black, Black, Orange, Orange, Pink, Blue, Yellow, Yellow, Pink, Pink, Pink, Blue, Blue, Pink, Pink, Orange, Black, Black, Orange, Orange, Pink, Blue, Blue, Blue, Black, Pink, Yellow, Yellow, Pink, Blue, Orange, Orange, Pink, Black, Black, Yellow, Yellow, Pink, Yellow, Blue, Black

2 Favourite hobbies of 40 students of a class were noted. Create a pictograph for the given data. Use = 1 student.

Singing, Dancing, Sports, Watching TV, Reading, Dancing, Singing, Singing, Sports, Sports, Watching TV, Watching TV, Watching TV, Dancing, Sports, Sports, Sports, Watching TV, Dancing, Dancing, Singing, Reading, Reading, Singing, Watching TV, Sports, Dancing, Dancing, Watching TV, Watching TV, Sports, Dancing, Singing, Reading, Reading, Watching TV, Singing, Dancing, Sports, Sports

3 A film is like a story that you can watch on a big screen, like at the cinema or on a TV. Some children were asked about their favourite genre of films—comedy, musical, or action. Study the pictograph and answer the questions that follow.

Films Number of Children

Key: CINEMA TICKET = 2 students

a How many children like musical films?

b  Which type of film is liked by the least number of children?

c  How many more children like musical films than action films?

4 The bar graph shows the runs in the first 10 overs of a cricket match. Study the bar graph and answer the questions that follow.

a How many runs were scored in the 5th over?

b In which over were the most runs scored?

c How many runs were scored in all the overs?

5 The table shows the household size in a country. Draw a bar graph to show this data.

1 Meher records the number of squirrels that visit her garden each day. She makes a pictograph, with one showing 2 squirrels. She records the squirrels that visited on Sunday as . How many squirrels visited her garden on Sunday?

2 The pictograph shows the number of tomatoes used by 3 cooks for a dish. Read the pictograph and answer the questions.

Name

Ramesh

Suresh

Tarachand

Key: = 2 tomatoes

Number of Tomatoes

a If you remove 2 pictures of tomatoes from Suresh's row, how many tomatoes did he use?

b If the key changes to 1 picture = 4 tomatoes, how many pictures should be drawn for Tarachand?

Rainfall Chart

Rainfall charts are used for showing the amount of rain measured for various months. We measure rainfall to know about the climate and its changes. Look at the bar graph and answer.

1 Which month shows the highest rainfall?

a  January b  March

c  February d  June

2 shows the lowest rainfall.

3  Which month shows the second highest rainfall?

4 Can you think of any other real life usage of a bar graph? Give an example.

Worksheet 6: Mental Maths

1  Multiple choice questions.

a There are 12 apples, 18 bananas and 15 oranges in a basket. How many more bananas are there than oranges?

i  3 ii  13 iii  25

b A pictograph shows that each picture of a cat represents 2 cats. If there are 4 cat pictures, how many cats are there in total?

i  6 ii  8 iii  10

c A bar graph shows that 27 students like soccer, 25 students like basketball and 13 students like tennis. How many students like soccer or basketball? i  52 ii  7 iii  5

2 Read the data of marks obtained in maths out of 100 and fill in the blanks. 62, 61, 78, 88, 95, 33, 55.

a students obtained marks less than 50.

b student/s scored 95 marks.

c The number of students who got more than 80 is .

3  Write True or False.

a A bar graph shows 4 boys and 5 girls in an art class. There are total of 9 children in the art class.

b In a pictograph, if one picture represents 5 apples, then 4 pictures represent 15 apples.

4 Read the graph showing the number of buckets of water filled by the members of the family in a week. Which of the given statements is incorrect about the graph?

a The father filled 8 buckets of water.

b Brother filled the most buckets.

c Brother fills 4 buckets of water.

d Mother fills 1 less bucket than father.

5 Look at the pictures and answer the questions.

a If = 10 mins of rainfall, pictures will be drawn for 50 mins of rainfall.

b If = 5 balls bowled, balls will be drawn for 20 balls.

Buckets filled in a week

Answers

Chapter 1

Worksheet 1

1. a. 2356 b. 4111

2. a. 4746 b. 5625

3. a.

Th H T O b. Th H T O

4. a. one thousand five hundred thirty-two

b. three thousand one hundred fifty-six

c. four thousand eight hundred eleven

5. a. 200, 2 b. 5000, 5 c. 4, 4

6. a. 3245 b. 5386 c. 7040

7. a. 2000 + 100 + 40 + 8 b. 4000 + 000 + 30 + 6

c. 6000 + 100 + 00 + 5

8. Four thousand one hundred twelve Challenge 1. 1973

Worksheet 2

1. Odd: 83, 91, 63, 149 Even: 36, 78, 164, 348

2. a. < b. < c. < d. > e. < f. >

3. Ascending order a. 1765, 4390, 7430, 7935

b. 773, 2860, 7880, 9573 c. 392, 3067, 4853, 7943

d. 157, 6583, 8546, 9404

Descending order a. 7935, 7430, 4390, 1765

b. 9573, 7880, 2860, 773 c. 7943, 4853, 3067, 392

d. 9404, 8546, 6583, 157

4. Smallest: a. 2467 b. 1367 c. 1025 d. 5068

Greatest: a. 7642 b. 7631 c. 5210 d. 8650

5. a. Greatest 4-digit number b. Smallest 4-digit number

c. Greatest 4-digit number using different digits

d. Smallest 4-digit number using different digits

6. River Nile  7. Largest formed number is 7532.

Challenge 1. Anahita since she has written the largest number, 9999

Worksheet 3

1. a. 40 b. 70 c. 40 d. 120  2. a. 30 b. 70

c. 80 d. 140 e. 260 f. 320 g. 440 h. 550

3. a. 270 b. 230 c. 370 d. 360  4. about 630 people

5. 270 trains; 260 stations

Challenge 1. Option b. 752

Worksheet 4:

Chapter Checkup

1. a. 1442 b. 3857 c. 4208 d. 5309

2. a. two thousand four hundred seventy one

b. four thousand two hundred five

c. five thousand three hundred seventy four

d. seven thousand three hundred eight

3. a. 50 b. 10 c. 800 d. 8000 e. 7000 f. 90

4. a. 2185 b. 3471 c. 8089 d. 5725

5. a. 1000 + 300 + 80 + 2 b. 3000 + 600 + 40 + 1

c. 5000 + 300 + 20 + 7 d. 6000 + 400 + 80 + 4

6. Smallest: a. 1023 b. 5068 c. 2458 d. 1047

Greatest: a. 3210 b. 8650 c. 8542 d. 7410

7. a. Th H T O  b. Th H T O  c. Th H T O

8. Ascending order a. 565, 730, 2390, 8935

b. 773, 880, 1860, 7573 c. 792, 5853, 6943, 7081 d. 657, 5683, 7846, 8704

Descending order  a. 8935, 2390, 730, 565 b. 7573, 1860, 880, 773

c. 7081, 6943, 5853, 792 d. 8704, 7846, 5683, 657

9. a. 60 b. 100 c. 390 d. 420

10. 60 types

11. Answer may vary Sample answer: Anna saved ₹5500 and Divya saved ₹4510. Who saved more money?

Challenge 1. 8426

2.

Worksheet 5: Real-Life Maths

1. c. Mount Everest

2. Kedarnath < Mount Kailash < Annapurna < K2 < Mount Everest

3. Kedarnath; 3000 + 500 + 80 + 3; three thousand five hundred eighty-three

4. Answers may vary.

Worksheet 6: Mental Maths

1. a. i  b. iii

2. a. 4, 0  b. 2102  c. 8040

3. a. T  b. T  c. F  d. F

4. a. i  b. ii

5. a. <  b. >  c. =  d. <

Chapter 2

Worksheet 1

1. a. > b. < c. = d. <

2. 7 + 5 = 5 + 7 + 0 + 12 = 12 + 0 = 7 + 1 = 8 + 0 + 71 = 71 = 72

3. a. 55 b. 69 c. 38 d. 79

4. a. 49 b. 65 c. 81 d. 89

5. 78  6. 78 species

Challenge 1. No, it is not solved correctly. Instead of adding 43 and 34, 43 is added twice. The correct answer is 77.

Worksheet 2

1. a. 688 b. 997 c. 688 d. 798

2. a. True b. False c. False d. True  3. 3, 6, 8

4. a. 800 b. 631 c. 1110 d. 1130

5. a. 3333 b. 3395 c. 9359 d. 9277

6. a. 6379 b. 3385   7. ₹691  8. 317  9. 4977 oranges

Challenge 1. a. 539 and 614 b. 286 and 614 c. 239 and 286

Worksheet 3

1. a. 50 b. 100 c. 70 d. 90

2. a. 70, Yes b. 80, Yes c. 30, Yes d. 70, Yes

3. 110 food items  4. 130 starfish

5. a. 80, 80, Same b. 100, 90, Different

Challenge 1. Between 75 and 84

Worksheet 4

1. 351 toys  2. ₹8797  3. 63 seeds

4. 700 students  5. 1550 m

Challenge 1. 905

Worksheet 5: Chapter Checkup

1. a. 46 b. 14 c. 48 d. 5 e. 83 f. 0

2. a. 96 b. 89 c. 79 3. a. 925 b. 578 c. 869

4. a. 90 b. 50 c. 80  5. a. 70 b. 70 c. 80

6. a. 165 + 374 = 539  b. 546 + 264 = 810  c. 543 + 617 = 1160

7. a. 3011 boys and girls  b. 3595 men and women c. 6606 people

8. 102 tazos

9. Answers may vary. Sample answer: Akil has made 390 candles and Anu has made 528 more candles than Akil. How many candles have they made altogether?

Challenge 1.

2. The 1-digit numbers can be 5, 6, 7, 8 or 9.

Worksheet 6: Real-Life Math

1. c. 100  2. 815 leopards

3. No. Chattisgarh has more leopards.

4. Answers may vary.

Worksheet 7: Mental Maths

1. a. i b. iii

2. a. 410 b. 100 c. 110

3. a. F b. T c. T

4. a. < b. < c. = d. =

5. a. 165 + 324 = 489 b. 242 + 617 = 859

Chapter 3

Worksheet 1

1. a. True b. True c. False d. True e. False f. False

2. a. 8 b. 9 c. 29  3. a. 24 b. 37 c. 47  4. 2 jumps

5. 6. 69

Challenge 1. 58 29 75 29 29 46 12 17 17

Worksheet 2

1. a. 460 b. 201 c. 245  2. a. 332 b. 123 c. 333

3. a. 348 b. 187 c. 343

4. 242 bottles  5. a. 301 tickets b. Joginder-68; Mohan-172; Prasad-19  6. 92 bones

Challenge 1. 594

Worksheet 3

1. a. 3463 b. 5256 c. 6207 d. 1547

2. a. 1211 b. 4196

3. a. 3331 b. 3011 c. 8100 d. 8815

Ascending order = 3011, 3331, 8100, 8815

4. 1170 schools  5. ₹1127

Challenge 1. The new message will be AOOA = 6446

Worksheet 4

1. a. 50 b. 30  2. a. 10 b. 40 c. 20

3. 20 seashells  4. No, since 43 was rounded off to 50 instead of 40.  5. 10 chocolates

Challenge 1. Estimated sum = 120; Estimated difference = 80

Worksheet 5

1. Shashi, 211 stickers  2. 289 runs  3. ₹108

4. 2322 bags  5. 4313 pairs of shoes  6. 200 stamps

7. Narendra.  8. ₹2133  9. Answer may vary.

Challenge 1. Answers may vary. Sample answer: 93 and 32.

Worksheet 6: Chapter Checkup

1. a. 64 b. 59 c. 93 d. 0 e. 0 f. 74

2. a. 23 b. 15 c. 29 d. 25 e. 19 f. 29

3. a. 25 b. 29 c. 47

4. a. 222 b. 255 c. 23

5. a. 90 b. 50 c. 20  6. 419 pages

7. 120 people  8. 124 kg

9. Answer may vary. Sample answer: There are 8567 books in a library. 1245 books were sent for binding. How many books were left in the library?

Challenge 1. Least Difference = 609 and 473

Highest difference = 962 and 473

Worksheet 7: Real-Life Maths

1. c 2. a. True b. False  3. 1005 post offices

4. 2359 post offices  5. Answer will vary.

Worksheet 8: Mental Maths

1. a. i b. iii

2. a. 61 b. 23 c. 74

3. a. F b. F c. F

4. a. 400 b. 300

5. a. 70 − 30 = 40  b. 80 − 60 = 20

Chapter 4

Worksheet 1

1. a. 5 b. 8 c. 4, 2 d. 13, 13, 13, 13, 13, 5

2. a. True b. False c. False   3. b. 9 × 8

4. a. 3 b. 0 c. 1 d. 5 e. 94 f. 123

5. Repeated addition = 15 + 15 = 30

Multiplication sentence = 2 × 15 = 30

6. The order of multiplication doesn’t matter as the product always remains the same.

Challenge 1. New number of dots = 20 – 4 = 16 Multiplication sentence = 4 × 4 = 16

Worksheet 2

1. a. 63 b. 120 c. 60 d. 10  2. a. > b. < c. < d. =

3. a. 72 b. 100 c. 160 d. 240 e. 360 f. 7000

4. a. 64 b. 630 c. 80 d. 900 e. 100 f. 600

5. 54 candies  6. 500 runs  7. Answers may vary Sample answer: The cost of a book is ₹45. What is the cost of 20 such books?

Challenge 1. Total runs scored by both = 46 Worksheet 3: Chapter Checkup

1. a. True b. True c. False d. True e. True f. True

2. a. 6 × 4, 12 × 2, 1 × 24

b. 5 × 6 , 10 × 3, 30 × 1

3. a. 32, 40, 48, 56, 64 b. 52, 65, 78, 91, 104 c. 60, 70, 80, 90, 100

4. a. = b. < c. < d. =

5. a.

b.

6.

cookies 7. 30 petals

Challenge

1. 9 × 4 = 36 ×

5 × 5 = 25

2. Total number of grapes = 4 × 8 = 32

Total number of blueberries = 5 × 8 = 40

Worksheet 4: Real-Life Maths

1. 6 × 2 = 12  2. Option b

3. Cost of 4 wooden rattles = ₹360 4. Total number of pieces = 6 × 2 = 12

5. Answers may vary.

Worksheet 5: Mental Maths

1. a. iv. 9 × 9 b. ii. 120 c. iii. 56 d. iv. 120

2. a. 120, 150, 180 b. 160, 200, 240

3. a. T b. F c. T d. T

4. a. 30 b. 240 c. 120 d. 5

5. a. 12, 20 b. 20, 40, 50 c. 24, 48 d. 21, 28

Chapter 5

Worksheet 1

1. a. 96 b. 80 c. 444 d. 669

2. a. 48 b. 246 c. 3514 d. 6444

3. 2 tens  4. 5. 999 m

Challenge 1.  300 20 1 2 × 300 × 2 = 600 2 × 20 = 40 2 × 1 = 2 2 × 321 = 600 + 40 + 2 = 642

Worksheet 2

1. a. 633 b. 464 c. 244

2. a. 2890 b. 5551 c. 2288

3. a. 909 b. 888 c. 1152  4. 2247  5. 1150 cloth pieces  6. 1701 Earth hours

Challenge 1. 480 bricks

Worksheet 3

1. a. 403 b. 1020 c. 440

2. a. 672 b. 1290 c. 1710 d. 648 3. 294 g  4. 115 trees

Challenge 1. 990

Worksheet 4

1. a. 50 b. 40 c. 80 d. 90 e. 50 f. 80 g. 40 h. 30

2. a. 200 b. 180 c. 120 d. 160

3. a. 1540; 88 b. 240; 24 c. 100; 10 d. 690; 69 4

5. 1000 bangles

Challenge 1. 53

Worksheet 5

1. 156 erasers  2. ₹1200  3. 448 trees  4. 312 students

5. Answer may vary. Sample answer: There are 35 students in each section of grade 3. How many students are there in Grade 3, if there are 5 sections?

Challenge 1. 600 m

Worksheet 6: Chapter Checkup

1. a. T b. F c. F d. T

2. a. 48 b. 87

3. a. 301 b. 2667

4. a. 270 b. 1260 c. 4150 d. 2268

5. a. 60 b. 120 c. 90 d. 80

6. 1216 people

7. 540 apples

8. ₹1800

9. 1700 people, 3400 people

10. Answer may vary. Sample answer: The cost of 1 pencil box is ₹315. What is the cost of 5 pencil boxes?

Challenge 1. Numbers are 12 and 5

2. 22 3 4 12 = 276 + × ×

Worksheet 7: Real-Life Maths

1. option d  2. 240  3. ₹1155  4. ₹1400

Worksheet 8: Mental Maths

1. a. ii. 20 × 4  b. iii. 99

2. a. 750 b. 5600 c. 990 d. 200

3. a. F b. T c. T

4. a. ×, ×, + b. ×, ×, -

5. a. 50 b. 2 and 3, or 0 and -1.

Chapter 6

Worksheet 1

1. a. 2 cups b. 3 buttons c. 2 crayons

2.

3. 18, 3, 6  4. a. 9 b. 2 c. 3 d. 4  5. 3 rotis  6. 12 days

Challenge 1. 63 ÷ 7 ÷ 9 + 9 = 10

Worksheet 2

1. a. 25 b. No answer c. 0 d. 1 e. 0 f. No answer

2. a. 10, 6, 10, 60 b. 9, 4, 9, 36 c. 8, 7, 8, 56

3. a. 28 ÷ 7 = 4 and 28 ÷ 4 = 7 b. 45 ÷ 5 = 9 and 45 ÷ 9 = 5

c. 18 ÷ 3 = 6 and 18 ÷ 6 = 3

4. a. 2 b. 6 c. 6

5. 18 children

6. 9 × 5 = 45

7. 9 pieces

8. Answer will vary Sample answer: Rahul bought 55 roses to put in vases in a party hall. If he put 5 roses in each vase, how many vases did he use?

Multiplication fact: 11 × 5 = 55

Worksheet 3: Chapter Checkup

1. a. 5 things b. 3 dice c. 2 coins d. 7 balls

2. a. 8 b. 6 c. 5

3. a. 12 × 3 = 36 b. 22 × 4 = 88 c. 12 × 8 = 96

d. 8 × 5 = 40

4. a. 45 ÷ 9 = 5 and 45 ÷ 5 = 9

b. 32 ÷ 4 = 8 and 32 ÷ 8 = 4

c. 15 ÷ 5 = 3 and 15 ÷ 3 = 5

d. 14 ÷ 7 = 2 and 14 ÷ 2 = 7

5. a. 3 b. 9 c. 9 d. 7

6. Answers may vary

7. 1 toy car  8. 8 cupcakes  9. 6 groups

Challenge

2. Answers may vary. Sample answer.

Worksheet 4: Real-Life Maths

1. d. 9  2. 27 ÷ 3 =9  3. c. 12  4. True

5. Answers will vary

Worksheet 5: Mental Maths

1. a. 4 b. 8 c. 14 d. 8

2. a. 2 each b. 4 each c. 6 each d. 5 plates each

3. a. True b. False c. False d. True e. False

4. 28

5. Dividend = 25, Divisor = 5, Quotient = 5

Chapter 7

Worksheet 1

1. a. 17 b. 12

2. a. 18, 1 b. 11, 2

3. a. Quotient = 20; Remainder = 1 b. Quotient = 44; Remainder = 0

4. a. 38 b. 49 c. 59 d. 44 e. 41  5. 3 puppies  6. 2 seeds

7. 10 trays

Challenge 1. 70

Worksheet 2: Chapter Checkup

1. a. 15 b. 13 c. 12 d. 91  2. a. 3 b. 0 c. 3 d. 0

3. a. Q = 22; R = 3 b. Q = 20; R = 5

4. a. 3 b. 24 c. 8 d. 1

5. 1049 booklets  6. 240 firefighters

Challenge 1. 5 2. a. 16 cm b. 32 cm

Worksheet 3: Real-Life Maths

1. c. 7 tons  2. a. Twice as heavy  3. False  4. False

5. Answer may vary. Sample answer. Everyone needs to know exactly when to push or pull the levers together to move the block safely and avoid accidents.

Worksheet 4: Mental Math

1. a. 6 b. 8 c. 7042 d. 3

2. a. True b. False c. True d. False

3. a. 4 b. 28 c. 7 d. 9

4. a. 16 b. 26

5. 24 ÷ 2 = 12

Chapter

8

Worksheet 1

1. a. Square b. Circle c. Rectangle    2.

3. Square = 2, Rectangle = 2, Triangle = 1, Circle = 6

4. a. False  b. True c. True d. True

5. Answers may vary.

Challenge 1. 6

Worksheet 2

1. b and d

2. a. b. c. d. 3. a. b.   c.  4.

5. a. park b. hospital c. 5 steps to the right, 1 step up

6.

Challenge 1. These are called lines of symmetry. There are 4 lines of symmetry in the rangoli.

3. Drawings may vary a. b.

Worksheet 3

1. a. Cube b. Cylinder c. Sphere d. Cone

2. a. Cuboid b. Sphere c. Cone d. Cube  e. Cylinder  3. Cube  4. box, book, eraser

Challenge 1. Yohaan makes a cuboid. Rectangle and square

Worksheet 4

1. a. View B b. View B

2. Drawings may vary. a. , b. , c.

4. Drawings may vary ,   Rectangle

Challenge 1. Cuboid Left Front Top Base Right Base

Worksheet 5

2. a.

3. a.   b.  c.  d.

e. 44, 48, 52 f. 55, 45, 35  4. d

5. a. THE CAR IS RED b. I LIKE DOSA 6. Figures may vary. Sample figure.

Challenge 1. Answers may vary.

Worksheet 6: Chapter Checkup

1. a. Square = 1, Rectangle = 7, Triangle = 2, Circle = 5  b.

2. a. b. c. d.

3. a. cone b. cube c. cylinder d. cuboid 4

5.

7. a. 32, 36, 40 b. 80, 88, 96 c. 52, 57, 62 d. 41, 44, 47

8. a. b.

9. Side: Rectangle  Top: Circle

10. a. Colouring may vary.     b. Answers may vary.

Challenge 1. She can do it in 4 different ways. She will get only a cuboid.

2. 4 triangles can be made but 8 triangles can be seen.

Worksheet 7: Real-Life Maths

1. Hospital  2. Circle football ground.  3. b. hotel

4. Step on MG Road, turn to the right and walk straight. The house is on the left.  5. top

Worksheet 8: Mental Maths

1. a. 14, 19, 25 b. QR, UV, YZ

2. a. sleeping line b. standing line c. standing line

3. a. i. top ii. side

b. i. front ii. side

4. a. i. Yes ii. No

b. i. B. 24 ii. A. 28

5. a. iv b. iii c. ii d. i

Chapter 9

Worksheet 1

1. a. Kilometres b. Metres c. Centimetres

2. a. 8 cm b. 11 cm

3. a. 600 cm b. 800 cm c. 909 cm

4. a. 7 m b. 6 m c. 4 m

5. 36 m  6. The python is longer by 400 cm.

Challenge 1. 24 more boxes

Worksheet 2

1. a. grams b. kilogram c. grams

2. a. 8000 g b. 9000 g c. 1500 g

3. 3600 g

4. 1 kg  5. 3 kg

Challenge 1. First weigh blocks A and B. Take the heavier one and then weigh it with C. Whichever is the heavier of the two, will be the heaviest.

Worksheet 3

1. a, b  2. a. 2000 mL b. 6000 mL c. 9000 mL

3. 3000 mL  4. 1 L 500 mL  5. 3 L 250 mL  6. 83 L

Challenge 1. He first uses the 2 L jar to get 2 L of milk and then pours 1 L in the 2 L jar such that it is half filled to make it 3 L of milk in total.

Worksheet 4: Chapter Checkup

1. a. ; d. ; e.  2. b  3. c

4. a. 12 cm b. 4 cm

5. a. 500 cm b. 200 cm c. 900 cm

6. a. 2 m b. 3 m c. 10 m

7. a. 8000 g b. 9000 g c. 7450 g

8. a. 2000 mL b. 7000 mL  c. 4000 mL

9. 3250 g  10. 4 L 300 mL

Challenge 1. 3 cuts  2. 15 m

Worksheet 5: Real-Life Maths

1. a. 10 g  2. 450 mL  3. 930 g  4. Answers may vary.

Worksheet 6: Mental Maths

1. a. False b. True c. False d. False

2. a. 1210 cm b. 7 kg c. 6250 mL d. 3 m e. 4 L f. 5650 g

3. a. 4 m, b. 9000 m c. 5000 mL d. 0 g

4. Circle watermelon and sugar

5. a. > b. < c. > d. =

Chapter

10

Worksheet 1

1. A. Hour hand B. Minute hand

2. a. 12:00 or 12 o’ clock  b. 10:15 or Quarter past 10

c. 2:30 or Half past 2 d. 12:20 or 20 minutes past 12

3. a. a.m. b. a.m. c. p.m. d. p.m.

4. a. b. c. d.

5.  Train starting time: 5:30 p.m., Train End time: 10:30 a.m.

Challenge 1. Sneha, 11:55 a.m.

Worksheet 2

1. a. 60 b. 12

2. a. 1 hour b. 3 hours c. 15 minutes d. 2 hours 15 minutes

3. a. Minutes b. Minutes c. Minutes d. Hours

4. 120 minutes  5. 75 minutes

Challenge 1.

Worksheet 3

1. a. Year b. Month c. Date of the Month d. Day of the week

2. a. False b. True c. False d. True

3. a. 4 b. Monday c. Thursday d. 9  e. 13, 20, 27

4. 14 days

5. 6. 2 months

Challenge 1. 11

Worksheet 4

1. Navratri Starts Dusshera Diwali Bhai Dooj Guru Nanak Jayanti

3 October 12 October 1 November 3 November 27 November

2. Cricket match Basketball match Tug-of-war match Football match Kho-Kho match

February August October November December

3. a. 2000 b. 7 years c. 15 years d. 34 years

4. Tinu; 6 years

Challenge 1. 20 years and 10 years

Worksheet 5: Chapter Checkup

1. a. 1:50 or 10 minutes to 2 b. 1:30 or half past 1

c. 10:45 or quarter to 11

2. a. b.

3. a. 2 hours b. 2 hours

4. a. 7:30 a.m. b. 6:15 p.m. c. 11:55 p.m. d. 12:05 a.m.

5. a. Some minutes  b. Some minutes c. Less than a minute

d. hours  6. a. 31 b. 1 May, 2023 c. 11 June, 2023  d. 8 June 2023

7. Born in Delhi Played for Delhi U-15 U-19 England Tour Won U-19 World Cup Won ODI World Cup

5 November 1988 October 2002 July 2006 March 2008 April 2011

8. Sun Mon Tues Wed Thurs Fri Sat

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18

30 31

a. 5 Sundays b. 14 July c. 2, 9, 16, 23 and 30

9. 7 a.m. and 9 p.m.  10. 2014

Challenge 1. Saturday, 22 April 2023 2. 3 times.

Worksheet 6: Real-Life Maths

1. 50  2. b. 3:50 p.m.  3. 4:40 p.m.

4. No  5. 60 minutes, Answers may vary.

Worksheet 7: Mental Maths

1. a. 8:10  b. 4 o'clock  c. Half past 3

2. a. ii Monday  b. ii. 29  c. i. 60  d. iii. September

3. a. True  b. False  c. False  d. False

4. a. 4 years old.  b. PM  c. 12 : 15

Chapter 11

Worksheet 1

1. a. Twenty-eight rupees fifty paise

b. Thirty-six rupees twenty-five paise

c. Forty-nine rupees seventy paise

d. Fifty-seven rupees thirty-five paise

2. a. ₹56.70 b. ₹29.88  c. ₹35.57 d. ₹68.50

3. a. ₹32.50 b. ₹45.25 c. ₹160.50 d. ₹252.50

4. a. 2536 paise b. ₹8.02 c. ₹21.25 d. 12536 paise

e. ₹361.25 f. 35880 paise

5. One hundred three rupees forty-four paise.

6. Mahi should transfer 2 coins of ₹5.

Challenge 1. 1 of ₹500, 1 note of ₹100 and 1 note of ₹20; 2 coins of ₹2, 1 coin of ₹10 and 1 coin of ₹5

Worksheet 2

1. ₹13.50  2. ₹125.50  3. ₹280.50   4. ₹363.50

Challenge 1. ₹71.50

Worksheet 3 1. ₹96.50    2. No, the bill is not correct.

New Era Store

3. Sam paid ₹161.50

4. Ravi buys: a. ₹10.00 b. ₹75.50 c. ₹10.00

Amount Paid = ₹95.50

Joe buys: a. ₹5.00 b. ₹75.50 c. ₹4.00

Amount Paid = ₹84.50

Tanya buys: a. ₹25.00 b. ₹75.50  c. ₹8.00

Amount Paid = ₹108.50

Challenge 1. Yes

Worksheet 4: Chapter Checkup

1. a. Fifty-two rupees thirty-six paise

b. Sixty-five rupees fourteen paise

2. a. ₹38.65 b. ₹29.55  3. a. 2515 paise

b. 5225 paise c. 23548 paise  4. a. ₹32.56

b. ₹152.36 c. ₹523.64  5. a. 235 paise

b. 348 paise c. 2356 paise d. 3480 paise

6.

in One Mart

Divya has to pay ₹188.50.

8. ₹81 .50  9. ₹110.50

Challenge 1. ₹70  2. Rahul has one rupee more than Ajay.

Worksheet 5: Real-Life Maths

1. d  2. 100 kauris 3. 500 paisa  4. Answers may vary.

Worksheet 6: Mental Maths

1. b

2. a. ₹1.80 b. ₹2.20 c. 1005 paise d. 550 paise

3. a. > b. < c. =

4. a. ₹48.00 b. ₹99.00

5. a. ₹12 b. ₹100

Chapter 12

Worksheet 1

1. a. 1 2 b. 1 3 c. 1 4

2. Sample answers:

a. b. c.

3. a. One-fourth b. Three-fourths c. Half

4. Sample answers: a. b. c.

5. 2 4

Challenge 1. 1 8

Worksheet 2

1. a. 8 pumpkins b. 7 bats c. 6 mangoes d. 4 apples

2. a. True b. False c. False d. False

3. a. 9 b. 3 c. 7 d. 3  4. 4 plants

5. Answer may vary.

Challenge 1. No.

Worksheet 3

1. a. 4 8 b. 5 9 c. 4 9 d. 7 16

2. Sample answers:

a. b. c. 6 trees  b. 5 tomatoes

3. a. 4 9, 5 9 b. 3 9, 6 9 c. 6 11, 5 11 d. 6 13 , 7 13

4. 8 17 5. 12 plastic bottles  6. 3 blue shirts

Challenge 1. 20 buses  2. 8 10

Worksheet 4: Chapter Checkup

1. a. 1 2 b. 1 3 c. 3 4 d. 5 8 e. 1 4 f. 7 12

2. a. 5 12 , 7 12 b. 9 17, 8 17

3. Sample answers: a. b. c. 9 kites d. 7 balls

4. a. 6 b. 5 c. 1 d. 4

5. 1 5 6. 3 flowers  7. 2 6 8. 18 apples

Challenge 1. A

2. Answer may vary. Sample answer.

Worksheet 5: Real-Life Maths

1. c. 3 8 2. 3 8 3. a. True b. False  4. 5 8

5. Answer may vary.

Worksheet 6: Mental Maths

1. a. i b. i c. ii

2. a. 5 7 b. 5 c. 2

3. a. T b. F c. T

4. c

5. a. 4 7 b. 2 10

Chapter 13

Worksheet 1

1. a. False b. True c. False d. True

2. 99, 98, 89, 83, 80, 78, 77, 70, 65, 58, 45

3. Fruit Number of Students

Apple 6

Banana 6

Grapes 6

Mango 6

Orange 4

4. a. 3 b. less c. rice

Challenge 1. a. 20 cutlets b. 20 cutlets

Worksheet 2

1. a. True b. True c. True

2. Favourite Swing

3. a. 8 books b. Friday, 11 books c. 1 book

4. Drawings may vary. Sample answer: Flavour Number of Ice Creams

5. a. 1 household b. 8 households c. Answers may vary.

6. Answers may vary.

Challenge 1. a. 5 b. 4

of States Country Scale: 1 Division = 1 State

Myanmar  Nepal Bangladesh Bhutan

3. a. Most = Nimisha; Least = Raghav and Eric b. 1 glass  c. 1 glass   4. a. 4 children b. Cartoon, 9 children c. 1 child  d. 26 children  5. Answer will vary

Challenge 1. a. Red Riding Hood and Town Mouse and Country Mouse b. 5 divisions

Worksheet 4: Chapter Checkup

1.  Favourite Colour Number of Students

Favourite Hobby Number of Students

Singing

Dancing

Sports

Watching TV

Reading

3. a. 20 children b. Action c. 4 children

4. a. 1 run b. 6th over c. 63 runs

Number of People in a Household

Country India Canada USA Gambia Nigeria South Africa

Challenge 1. 8  2. a. 7 tomatoes b. 2

Worksheet 5: Real-Life Maths

1. c. February  2. June  3. April  4. Answer may vary.

Worksheet 6: Mental Maths

1. a. i b. ii c. i 2. a. 1 b. 1 c. 2

3. a. T b. F 4. b

5. a. 5 b. 4

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.

• Real-Life Maths: 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 978-81-982034-7-2

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