OxBridge Centre Year 4 Core Maths Sample Workbook

Your score Class average

/ 89 =

% %

2 Arranging Data Information in a data needs to be arranged in order to interpret and see the results easily. A Tally Chart is one of the methods of recording data. Strokes are used to display the tally and the Frequency shows the total times an event or value occurs.

The table below shows the number of animals on a farm in TALLY and FREQUENCY. Fill in the empty boxes in the frequency column and answer the questions.

Animal

Tally

Frequency

Sheep Pig Horse Cow Chicken

a

How many more horses are there than pigs?

b

What is the most common animal on the farm?

c

How many animals are on this farm?

d

A quarter of the cows are moved to a different farm.

How many cows are left?

e

How many cows and pigs are there altogether?

Level D

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3 Make a bar chart using the data from the tally chart in the previous question. Shade in the bar chart to show the results. The first one has been done for you.

20 One animal represents half of the small box 10

Chicken

Cow

Horse

Sheep

0

Pig

Number of animals

Name of animals

Look at this bakery. Count how many different types of bread there are. Fill in this tally chart and finish off the bar chart.

Bread

Tally

Bun Cake Baguette Croissant Bar chart Bun Cake Baguette Croissant 0

5

10

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/ 12 Week 11

4 There are 456 pupils in Springfield Primary school. A school registrar made a pictogram to show the number of children who were late to school in one week.

Key:

means 5 children

Mon Tue Wed Thur Fri

a

How many children were late on Wednesday?

b

Which day had the most late students?

c

How many more children were late on Thursday than on Wednesday?

d

How many children were late to school altogether in the week?

Shade in the bar chart below using the information from the pictogram above. Friday has been completed for you.

Monday Tuesday Wednesday Thursday Friday Number of children

Level D

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/8

5 Steven spent 30 days travelling in India. The picture below shows the places he visited.

Fill in the pictogram using the key on the left.

INDIA New Delhi Luknow Calcutta Mumbai

Bangalore

City

Time Spent

New Delhi

10 days

Bangalore

4 days

Madras

7 days

Luknow

1 day

Mumbai

6 days

Calcutta

2 days

Madras Rearrange the data above into a pictogram using the key on the left.

New Delhi Bangalore

KEY

Madras

means 2 days

Luknow Mumbai Calcutta

Steven started in New Delhi and ended his travels in Madras. What is the quickest route through all these cities?

New Delhi

Madras

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/7 Week 11

6 These shoes are sold in a shop. Complete the tally chart to show how many different types of shoes are sold. Count a pair as one tally.

Shoes

Tally

Shoes

A

B

C

D

E

F

a

How many pairs of shoes D and F are sold?

b

Which shoes are the least popular?

c

What fraction of the shoes are B?

d

What fraction of the shoes are E?

Tally

Level D

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/ 10

7 There are 40 children in a ballet school. The children’s ages are shown below.

8

7

10

11

8

10

7

11

8

10

8

7

11

7

10

8

9

7

8

7

9

9

7

10

7

8

7

8

10

8

7

11

9

7

8

9

8

10

9

8

Fill in the table below to show how many students of each age attend the ballet school.

Age

Tally

Frequency

7 8 9 10 11 Show the data in the bar chart.

14 12 Number 10 8 of children 6 4 2 0

7

8

9 Ages

10

11

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/ 10 Week 11

8 A class was asked the type of house they lived in. The results are represented in the bar chart below.

cottage terrace bungalow flat detached semi detached 0

2 4 6 8 Number of students

10

Answer the questions below. a

Which type of house do most of the students live in?

b

How many students live in a bungalow?

c

How many more people live in a semi detached house than a detached house?

d

Which type of house do the least number of students live in?

e

How many students live in a detached or semi detached house?

f

How many students were asked where they live?

Level D

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/6

9 The following pie chart represents which country most people would like to go on holiday. 6 people wanted to go to Australia. Write down how many people wanted to visit these countries.

Greece Japan USA

Spain

Australia 6

Answer the questions below. a

How many people wanted to visit Greece?

b

How many people wanted to visit Spain?

c

How many people wanted to visit USA?

d

How many more people wanted to visit USA than Japan?

e

How many people were surveyed altogether?

f

How many people wanted to visit a country outside of Europe?

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/ 10 Week 11

10 Problem Solving a

There are 5 bedrooms in Paul’s house; four guest rooms and the master bedroom. Each guest room has 2 beds and the master bedroom has one bed. How many beds are there altogether?

b

Joey buys a comic book every week. The comic books cost £2.50 each. How much does he spend on these comic books if he does this for a year?

c

It takes Martin 7 hours to fly from London to Dubai on a non-stop flight. He watches a film to pass the time, but there is still 4 hours 34 minutes of the flight remaining.

How long was the film?

d

David buys a new car. Petrol costs £1.50 per litre. How much will David spend if he fills his 40 litre tank?

e

Adam is filming a music video. The song is 3:56 minutes long but he wants the video to be 5:20 minutes. How much longer is the video than the song?

f

Ryan went travelling in South America for 12 weeks. He spent 2 weeks in Brazil, 3 weeks in Argentina, 17 days in Peru and the remainder of the time in Chile. How many days did he spend in Chile?

g

Victoria is a teacher. She teaches 130 students, split into 4 different classes. There are 27 students in her first class, 33 in her second and 35 in her third class. How many students does she teach in her fourth class?

Level D

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/7

11 h

What is a fifth of 5.50?

i

Michael’s walking speed is 3.2 miles per hour. How many miles will he walk in 2 hours?

j

The temperature is 9ºC in the morning. It rises by 9ºC by the afternoon. The temperature then drops by 15ºC by nightfall.

What was the coldest temperature of the day?

k

Hannah has to read through two books for her homework.

One is 353 pages long and the other is 297 pages long.

She has read 100 pages of the first book and 200 pages of the second book. How many pages does she still have to read?

l

Amber can type 9 letters per second. How many letters can she type in 1 minute?

m

Fiona buys headphones for £18. Margaret buys headphones for £54. Philip buys headphones that cost exactly halfway between Fiona’s and Margaret’s. How much are Philip’s headphones?

n

Daisy sleeps for 7 hours each day. How many hours will she have slept after two weeks?

o

What is the total of 933 and 1522?

p

Multiply the total of 53 and 149 by 3.

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/9 Week 11

12 My time is

My score is

20

1

15 – 8

=

11

11 – 9

=

2

15 + 8

=

12

3x8

=

3

6x9

=

13

15 – 7

=

4

15 + 18

=

14

8 + 14

=

5

24 – 16

=

15

7x4

=

6

7x8

=

16

25 – 14

=

7

35 – 25

=

17

4x9

=

8

11 + 19

=

18

22 – 18

=

9

5x8

=

19

18 + 13

=

10

19 + 16

=

20

7x6

=

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Published by OxBridge Centre (UK).Ltd Author Myounghi Nam

ISBN 978-1-78395-101-7

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