Monday Step 1: Pictograms - Boxgrove · Jack has used this tally chart to draw the pictogram. Has...

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Year 3 – Spring Block 3 – Statistics

Monday

Step 1: Pictograms


Introduction

Jack has used this tally chart to draw the pictogram.

Has he interpreted the tally chart correctly? What errors can you

find?

FlavourNumber of Children

Vanilla

Strawberry

Lemon

Apple


Varied Fluency 1

Complete the missing sections using the information below.

A. Half the number of children who like Maths, like English.

B. 4 more children like Art than History.

C. 3 more people like Science than English.


Varied Fluency 2

Answer the questions about the pints of milk sold.

A. How many pints were sold on Monday?

B. How many more pints were sold on Friday than on Thursday?

C. How many pints were sold on Wednesday and Friday?

D. How many fewer pints were sold on Tuesday than on Monday?


Reasoning 1

Zac has created this pictogram.

He thinks only 15 more apple pies were sold than cherry pies. True or

false? Convince me.


Reasoning 1



false? Convince me.

No, Zac is incorrect because…


Problem Solving 1

Anika is drawing a pictogram. She knows more children have a

birthday in Winter than Spring, but fewer children have a birthday in

Winter than Autumn.

Complete the pictogram showing one of the possibilities.


Reasoning 2

Archie draws a pictogram to show KS2’s favourite time of the day.

Is he correct? Explain your answer.

Twice as many children like

dinner time than story time.


Reasoning 2



No, Archie is incorrect because…




Introduction

Jack has used this tally chart to draw the pictogram.

Has he interpreted the tally chart correctly? What errors can you

find?

No, Jack has not interpreted the tally chart correctly. He should

have 2 images for strawberry and 1 image for lemon.

FlavourNumber of Children

Vanilla

Strawberry

Lemon

Apple


Varied Fluency 1

Complete the missing sections using the information below.

A. Half the number of children who like Maths, like English.

B. 4 more children like Art than History.

C. 3 more people like Science than English.


Varied Fluency 2

Answer the questions about the pints of milk sold.

A. How many pints were sold on Monday? 20

B. How many more pints were sold on Friday than on Thursday? 12

C. How many pints were sold on Wednesday and Friday? 58

D. How many fewer pints were sold on Tuesday than on Monday? 10


Reasoning 1



false? Convince me.

No, Zac is incorrect because 60 apple pies were sold and 35 cherry

pies were sold. 60 – 35 = 25. 25 more apple pies were sold

compared to cherry pies.


Problem Solving 1

Anika is drawing a pictogram. She knows more children have a

birthday in Winter than Spring, but fewer children have a birthday in

Winter than Autumn.

Complete the pictogram showing one of the possibilities.

Various answers, for example: See table.


Reasoning 2



No, Archie is incorrect because 36 children voted story time and 60

children voted dinner time. That is a difference of 24.





Tuesday

Step 2: Bar Charts

Introduction

Choose which bar chart uses the most appropriate scale?

Explain why.


Red Blue Green Yellow

24

22

20

18

16

14

12

10

8

6

4

2

0Red Blue Green Yellow

12

11

10

9

8

7

6

5

4

3

2

1

0

A. B.


Fluffy Snowy ThumperBugs

Bunny

40

35

30

25

20

15

10

5

0

Varied Fluency 1

Use the information to complete the pictogram and the bar chart.

Varied Fluency 2

Use this bar chart to answer the questions about

the number of goals scored in a tournament.


Team A Team B Team C Team D Team E

35

30

25

20

15

10

5

0

A. Which team scored the most goals?

B. How many more goals did Team A

score than Team D?

C. How many goals did Teams C and

E score altogether?

D. How many goals were scored in total?

Varied Fluency 3

Create a bar chart using this tally chart.

Use a scale of 5 and add in the labels.


Favourite

DinosaurNumber of Children

T-Rex

Triceratops

Raptor

Diplodocus

Problem Solving 1

The bar chart shows favourite drinks.

More children like juice than tea, but fewer like juice than milk.

Complete the bar chart showing how many children could like tea

and juice.


Milk Water Tea Juice Cola

14

12

10

8

6

4

2

0


More children like athletics than

games.

16

14

12

10

8

6

4

2

0Gym Dance Games Athletics

Reasoning 1

Ben interprets the bar chart below about favourite types of P.E.




games.

16

14

12

10

8

6

4

2


Reasoning 1



Ben is not correct because…


Problem Solving 2

A class collects data about houses.

Draw a bar chart to display this information.

Choose a suitable scale.

8 more children live in a flat than in a

terraced house.

10 fewer children live in a terraced

house than a semi.

Introduction

Choose which bar chart uses the most appropriate scale?

Explain why.

Various answers, for example: A uses a scale of 1 which uses the

space in the bar chart better.


Red Blue Green Yellow

24

22

20

18

16

14

12

10

8

6

4

2

0Red Blue Green Yellow

12

11

10

9

8

7

6

5

4

3

2

1

0

A. B.


Fluffy Snowy ThumperBugs

Bunny

40

35

30

25

20

15

10

5

0

Varied Fluency 1

Use the information to complete the pictogram and the bar chart.

Varied Fluency 2

Use this bar chart to answer the questions about

the number of goals scored in a tournament.


Team A Team B Team C Team D Team E

35

30

25

20

15

10

5

0

A. Which team scored the most goals?

Team E

B. How many more goals did Team A

score than Team D?

15

C. How many goals did Teams C and

E score altogether?

45

D. How many goals were scored in

total?85

Varied Fluency 3

Create a bar chart using this tally chart.

Use a scale of 5 and add in the labels.


T-Rex Triceratops Raptor Diplodocus

Favourite

DinosaurNumber of Children

T-Rex

Triceratops

Raptor

Diplodocus

35

30

25

20

15

10

5

0

Problem Solving 1

The bar chart shows favourite drinks.

More children like juice than tea, but fewer like juice than milk.

Complete the bar chart showing how many children could like tea

and juice.

Various answers, for example: 10 children like tea and 12 children like juice.


Milk Water Tea Juice Cola

14

12

10

8

6

4

2

0



games.

16

14

12

10

8

6

4

2


Reasoning 1



Ben is not correct because 4 children like athletics and 6 children

like games.

Problem Solving 2

An example of the bar chart is shown below.


16

14

12

10

8

6

4

2

0

DetachedSemi-

detachedTerraced Flat


Wednsday

Step 3: Tables


Introduction

Which two representations below show the same data?


Men Women Total

Running 11 42 53

Gym 48 55 103

Swimming 16 32 48

No exercise 25 12 37

Sport Number of children

Netball

Hockey

Rugby

Dance

Tennis

= 2 children

Netball Hockey Rugby Dance Tennis

14

12

10

8

6

4

2

0

Varied Fluency 1

Use the table to answer the questions about favourite colours.


Green Red Yellow Blue Purple

Jane

Mark

Michael

Charlotte

Emily

A. Which colour was chosen Mark and Michael?

B. Which are Charlotte and Jane’s favourite colours?

C. Who chose purple as their favourite colour?

D. Which colour wasn’t chosen by anybody?

Varied Fluency 2

The table below shows the results of football matches.


Win Draw Lose

Northfield AFC 6 2 1

Wetherton Juniors 4 1 4

Jumpleby Town 3 2 4

A. Which team won the fewest matches?

B. How many games had each team played?

C. Which two teams, when combined, had the same number of

draws as Wetherton Juniors had won?

D. What is the difference between the total number of wins and the

total number of draws?

Varied Fluency 3

The table shows the results of a breakfast survey.


Toast Cereal Porridge Fruit Nothing

Boys 3 13 1 4 9

Girls 2 14 8 6 2

Men 6 5 7 3 10

Women 3 9 17 11 0

A. How many adults eat toast for breakfast?

B. Which was the least popular breakfast amongst children?

C. How many more people have porridge for breakfast than the total number of people who eat nothing?

D. Which breakfast food was voted for the most by both boys and

girls?

Problem Solving 1

The table shows how many house points each pupil receives each

time they do well at school. The number of points increase each

time by 4 each time. They have a maximum of ten rewards.

Complete the table and answer the questions.


Rewards 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

Number of house

points1 5

A. How many house points will a child have in total when they

receive six rewards?

B. How many more house points will a child that has received

seven rewards have than a child who has three rewards?

C. Mrs Hudson only has five house point stickers left. How many more house point stickers will a child who has reached their fifth

reward need?


Problem Solving 2

Use Liberty’s clues to find out how many dogs and cats live at three

addresses.

• There are double the amount of cats than dogs

on Lowdale Avenue.

• The total number of cats and dogs on

Sunnydale Drive is 23.

• There is one more dog on Roseland Crescent

than Sunnyvale Drive.• The overall total of cats and dogs is 93.

Liberty

Lowdale Avenue Sunnyvale Drive Roseland Crescent

Dogs 14

Cats 6

Total

Reasoning 1

Olly creates some questions about the table below.

Which of Olly’s questions can’t be answered using the table?

Explain why not.


Eastlee Southham Westprom Northend

Children 19 45 28 54

Adults 20 12 52 30

A. How many people support Eastlee?

B. Which team has the most fans at every game?

C. How many more people support Northend than Southam?

D. How many more adults support Westprom than children?

Reasoning 1



Explain why not.

B can’t be answered because…




Adults 20 12 52 30





Introduction

Which two representations below show the same data?


Men Women Total

Running 11 42 53

Gym 48 55 103

Swimming 16 32 48

No exercise 25 12 37

Sport Number of children

Netball

Hockey

Rugby

Dance

TennisNetball Hockey Rugby Dance Tennis

14

12

10

8

6

4

2

0

= 2 children

Varied Fluency 1

Use the table to answer the questions about favourite colours.


A. Which colour was chosen Mark and Michael?

Blue

B. Which are Charlotte and Jane’s favourite colours?Charlotte’s favourite colour is red and Jane’s is green.

C. Who chose purple as their favourite colour?

Emily

D. Which colour wasn’t chosen by anybody?

Yellow

Green Red Yellow Blue Purple

Jane

Mark

Michael

Charlotte

Emily

Varied Fluency 2

The table below shows the results of football matches.


Win Draw Lose

Northfield AFC 6 2 1

Wetherton Juniors 4 1 4

Jumpleby Town 3 2 4

A. Which team won the fewest matches?

Jumpleby Town

B. How many games had each team played?

9

C. Which two teams, when combined, had the same number of

draws as Wetherton Juniors had won?

Northfield AFC and Jumpleby Town

D. What is the difference between the total number of wins and the

total number of draws?8

Varied Fluency 3

The table shows the results of a breakfast survey.


Toast Cereal Porridge Fruit Nothing

Boys 3 13 1 4 9

Girls 2 14 8 6 2

Men 6 5 7 3 10

Women 3 9 17 11 0

A. How many adults eat toast for breakfast? 9

B. Which was the least popular breakfast amongst children? Toast

C. How many more people have porridge for breakfast than the total number of people who eat nothing? 12

D. Which breakfast food was voted for the most by both boys and

girls? Cereal

Problem Solving 1

The table shows how many house points each pupil receives each

time they do well at school. The number of points increase each

time by 4 each time. They have a maximum of ten rewards.

Complete the table and answer the questions.


Rewards 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

Number of house

points1 5 9 13 17 21 25 29 33 37

A. How many house points will a child have in total when they

receive six rewards? 66

B. How many more house points will a child that has received

seven rewards have than a child who has three rewards? 76

C. Mrs Hudson only has five house point stickers left. How many more house point stickers will a child who has reached their fifth

reward need? 12 stickers


Problem Solving 2

Use Liberty’s clues to find out how many dogs and cats live at three

addresses.

• There are double the amount of cats than dogs

on Lowdale Avenue.

• The total number of cats and dogs on

Sunnydale Drive is 23.

• There is one more dog on Roseland Crescent

than Sunnyvale Drive.• The overall total of cats and dogs is 93.

Liberty

Lowdale Avenue Sunnyvale Drive Roseland Crescent

Dogs 14 17 18

Cats 28 6 10

Total 42 23 28

Reasoning 1



Explain why not.

B can’t be answered because the table does not show this information.




Adults 20 12 52 30





ThursdayConsolidation exercise

FridayPlease use this time to complete any overdue homework

on MyMaths. Your login is on the front page of your orange exercise books.

https://login.mymaths.co.uk/login

https://login.mymaths.co.uk/login

Monday Step 1: Pictograms - Boxgrove · Jack has used this tally chart to draw the pictogram. Has...

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