six classes at winward primary school collected some money. · 2020. 5. 2. · children could be...

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Q1. Six classes at Winward Primary School collected some money.

The chart shows how much money the boys and girls collected.

In Class 4, how much more money did the girls collect than the boys?

1 mark

How many classes collected more than £30?

1 mark

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Q2. Amy went on a cycling holiday.

This chart shows how far she cycled each day.

How much further did Amy cycle on Friday than on Wednesday?

1 mark

How far did Amy cycle altogether on the three days she cycled the most?

1 mark

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Q3. Alfie collected information about the pets owned by children in his class.

Here are his results.

Pet Number of

pets

dog 9

cat 12

rabbit 5

fish 15

This bar chart shows the information from the table.

Fill in all the missing labels.

2 marks

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Q4. This graph shows the age of players at a football club.

How many players are aged 30 or younger?

1 mark

A player aged 36 and a player aged 39 join the club.

Add this information to the graph above. 1 mark

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Q5. This table shows the number of things to eat in five children’s lunch boxes.

sandwiches apples bananas fruit bars

Lisa 1 2 0 2

Jack 2 0 2 1

Kemi 1 1 0 2

Nik 1 2 1 0

Ben 2 1 2 1

Here is a graph of the information for four of the children.

Which child’s information is missing from the graph?

Explain how you know.

1 mark

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Q6. This chart shows the number of books some children read last month.

How many children altogether read more than 9 books?

1 mark

7 children read 4 books.

1 child read 5 books.

Lin says,

'That means 2 children read 6 books'.

Explain how she can work this out from the chart.

1 mark

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Q7.

This chart shows the amount of money spent in a toy shop in three months.

How much more money was spent in the shop in December than in November?

1 mark

Stepan says,

'In November there was a 100% increase on the money spent in October'

Is he correct?

Circle Yes or No. Yes / No

Explain how you can tell from the chart.

1 mark

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Q8. Kelly chooses a section of a newspaper.

It has 50 words in it.

She draws a bar chart of the number of letters in each word.

What fraction of the 50 words have more than 6 letters?

1 mark

Kelly says,

23 of the 50 words have less than 5 letters. This shows that nearly half of all the words used in the newspaper have less than 5 letters in them.

Explain why she could be wrong.

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1 mark

Q9. Some children take part in the long jump.

The graph shows the distances the children jumped.

Estimate how much further Lucy jumped than Nicola.

1 mark

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Q10. All the children at Park School chose their favourite soup.

The graph shows the results.

How many more children chose chicken soup than mushroom soup?

1 mark

Robbie says,

'More than half of the children chose tomato soup'.

Is he correct? Circle Yes or No.

Yes / No

Explain how you can tell from the graph.

1 mark

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Q11. A school collects money for charity.

This chart shows how much has been collected.

The target is £3000

Estimate how much more money the school needs to reach the target.

1 mark

Anil says,

The chart shows that we will reach the target in two months.

Use the chart to explain why Anil may be wrong.

1 mark

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Q12. The graph shows the heights of 28 children in Alfie's class, to the nearest centimetre.

Alfie is 153 cm tall.

He says,

‘Only one person in my class is taller than I am.'

Emma says,

‘You can’t tell this from the graph.'

Explain why Emma is correct.

1 mark

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Q13.

People in a village were asked if they shop in the village, or in the town, or in both.

The bar chart shows the results.

Altogether 246 people took part in the survey.

How many people shop in both the village and the town?

2 marks

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Mark schemes

Q1. (a) £7

Accept an answer in the range £6.75 to £7.25 inclusive. 1

(b) 4

Do not accept a list of classes. 1

[2]

Q2. (a) 5

1

(b) 45 1

[2]

Q3. (a) Vertical axis completed correctly as shown.

1

(b) Horizontal axis completed correctly as shown.

1

Accept unambiguous abbreviations or recognisable misspellings.

[2]

Q4.

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(a) 27 1

(b) Graph completed as shown:

Accept slight inaccuracies in drawing provided the intention is clear.

Bar need not be shaded. 1

[2]

Q5. Indicates Nik and gives a correct explanation eg

• 1 sandwich, 2 apples and 1 banana is missing from the graph and that is what Nik had in his lunch box

• The graph shows the correct number of fruit bars and Nik is the only one who does not have a fruit bar in his lunch box so his must be the missing one

• The totals from the table are 7, 6, 5, 6, and from the graph 6, 4, 4, 6, and the difference is Nik

Accept minimally acceptable explanation eg • 1 sandwich, 2 apples, 1 banana • Because the number of fruit bars is correct • 1 banana missing • 7, 6, 5, 6 and 6, 4, 4, 6 seen

Do not accept incorrect or incomplete explanation eg • 1 sandwich, 2 apples • There are 6 fruit bars • 2 apples are missing

U1

[1]

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Q6. (a) 6

1

(b) An explanation which recognises that a total of 10 children read between 4 and 6 books, eg:

• ‘10 children altogether read between 4 and 6 books, and 7 + 1 makes 8, so that leaves 2 children’

• ‘Because 7 add 1 is 8, and you need 2 more’

• ‘Because 10 children read 4 to 6 books’

• ‘8 and 2 more make 10 children altogether’

• ‘1 + 7 = 8, 8 + 2 = 10’.

Do not accept vague or arbitrary explanations, eg:

• ‘Because 7 and 1 make 8’

• ‘Because there are 2 children left’. U1

[2]

Q7. (a) £17 500

Accept 17500 with or without commas or spaces. 1

(b) An explanation which recognises that November sales were double October, eg

• ‘October was 7500 and November was 7500 more which is 100%’;

• ‘November is twice October, which is 200%’.

No mark is awarded for circling ‘Yes’ alone.

Do not accept vague or arbitrary answers, eg

• ‘November is more than October’;

• ‘Because November is £15000’.

If ‘No’ is circled but a correct unambiguous explanation is given then award the mark.

1

[2]

Q8. (a) 1/5 OR 10/50

Accept other equivalent fractions, eg: 20/100

1

(b) Explanations which imply that the results from a small sample cannot safely be applied to a large one, eg:

• ‘You could be wrong because every section is different’

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• ‘The article is only a small proportion of the whole newspaper’

• ‘The rest could be different’

• ‘You can’t judge a whole newspaper by one article’

Do not accept vague or arbitrary explanations such as:

‘She might not have counted right’; ‘The words in the newspaper might be big’; ‘There are more bigger words than small’.

1

[2]

Q9. Answer in the range 61 to 69 inclusive.

[1]

Q10. (a) Answer in the range 14 to 16 inclusive.

1

(b) An explanation which recognises that the bar for tomato is shorter than the other two bars added together, eg

• ‘Because there are 300 children altogether and only 135 chose tomato’;

• ‘Because 165 is more than 135’;

• ‘Because double 135 is 270 and there are more children than that altogether’;

• ‘Because half of 300 is 150’;

• ‘Because tomato is less than mushroom add chicken’.

No mark is awarded for writing ‘No’ alone.

Do not accept vague or arbitrary explanations, eg

• ‘Because most of the children chose tomato’;

• ‘Because 135 children chose tomato’;

• ‘Because 75 + 135 + 90 = 300’.

If ‘Yes’ is circled but a correct, unambiguous explanation is given then award the mark.

U1

[2]

Q11. (a) Answer in the range of £600 to £650, inclusive.

1

(b) Explanation which indicates that the amounts raised each month can vary AND that the money raised may be either insufficient to reach the target in 2 months or enough to reach the target in 1 month, eg

• ‘They could have two months like December’

• ‘In April they might get more money than any month before’

Accept appropriate explanations related to the answer

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given in 19a, even if this is incorrect.

Do not accept vague or arbitrary reasons, eg:

‘They might not get any more money’;

‘People have spent all their money on charity’;

‘It’s not enough time’. 1

[2]

Q12. Gives a correct explanation which demonstrates how the graph shows two children could be taller than Alfie, eg:

• One person from the class is 160-169cm. But someone as well as this person could be taller than Alfie. 2 people range from 150-159 cm, the other person could be 154, 155, etc

Minimally acceptable explanation, eg:

• It could be 1.64, 1.56, Alfie

• It depends on how tall the other person in his height group is

• There could be someone between 150-159 cm who is taller than Alfie

! Condone incorrect use of boundary values, eg:

• One child is in the range 160 cm–169 cm. Don’t know how tall the other child between 150 cm and 159 cm is

Do not accept incomplete or incorrect explanation, eg:

• There is 1 child in the range 150 cm-159 cm taller than Alfie

• There could be two children taller than Alfie

[1]

Q13. 103

2

or

Shows a complete correct method with not more than one computational error, eg:

• 152 + 197 = 339 (error)

339 − 246 = 93

• 349 − 246 = 97 (error)

• 152 + 197 = 349 349 − 246

1

[2]

six classes at winward primary school collected some money. · 2020. 5. 2. · children could be...

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