Draw a line to join each fraction to a percentage of the ... fileThe family throws away 130 kg of paper and card. 70% of this is newspapers . What is the weight of newspapers ? €

$Page 1: Draw a line to join each fraction to a percentage of the ... fileThe family throws away 130 kg of paper and card. 70% of this is newspapers . What is the weight of newspapers ? €$
Draw a line to join each fraction to a percentage of the same value.

1 mark

1

Tick each of the cards that shows more than a half.

1 mark

2

Page 1 of 38Langdon Academy

Circle the two fractions that are equivalent to 0.6

1 mark

3

This diagram shows the proportions of waste by weight a family throws away in one year,

4

Estimate what fraction of the waste is organic.

1 mark

The family throws away about 35 kilograms of plastic in a year.

Use the diagram to estimate the weight of glass and metal they throw away.

1 mark


The family throws away 130 kg of paper and card.

70% of this is newspapers.

What is the weight of newspapers?

2 marks

Jack has £400

He spends 35% of his money on a new bike.

How much does Jack spend on his new bike?

1 mark

5


This model is made with 20 cubes.

What percentage of the cubes in the model is black?

1 mark

6

Calculate 55% of 640

1 mark

7


Liam did a survey of 55 people to see how many were left-handed.

Liam says,

‘ The results show that exactly 10% of the peoplein the survey are left-handed.’

Explain why Liam cannot be correct.

1 mark

8

200 children went on holiday.

10% of the children went to Wales.

25% of the children went to Scotland.

How many more children went to Scotland than went to Wales?

2 marks

9



Seb goes on a sponsored walk to collect money for charity.

His aunt promises to pay 75p for each kilometre he walks.

She pays him £6.75 at the end of the walk.

How many kilometres does Seb walk?

1 mark

10

15% of the people walk 5 km or less.

40% of the people walk 8 km or more.

What percentage of the people walk between 5 km and 8 km?

1 mark


Hassan scores 40 out of 80 in a test.

Kate scores 40% in the same test.

Who has the higher score?

Circle Hassan or Kate.

Hassan / Kate

Explain how you know.

1 mark

11

John had £5

He gave 25% of it to charity.

How much did he give?

1 mark

12


Here is a grid made of squares.

Shade 10% of this grid.

1 mark

13

50% of its life is spent asleep.

Write the missing percentage.

A koala sleeps for 18 hours each day.

1 mark

14

A cat sleeps for 12 hours each day.

of its life is spent asleep.


20% of the children in a sports club play tennis.

25% of the children who play tennis also play rounders.

15

There are 8 children in the club who play both tennis and rounders.

How many children are there in the sports club altogether?

2 marks


20% of Megan’s number is 64

What is 50% of Megan’s number?

2 marks

16

This pie chart shows the ingredients to makea food mixture for wild birds.

Estimate the percentage of mixture that is suet.

1 mark

17


Mina uses 100 grams of millet in the mixture.

Estimate how many grams of sunflower seeds she should use.

1 mark

Write these in order of size, starting with the smallest.

0.34 0.7 43%

smallest

1 mark

18

Write the missing number.

1 mark

19



All the children in Class 6 vote to pick a class captain.

The choice is Holly or Dev or Joe.

20

Dev gets 10% of the votes.

Joe gets twice as many votes as Holly.

What percentage of the votes does the winner get?

1 mark


These patterns are drawn on square grids.

Pattern A Pattern B

In pattern A, the ratio of black squares to grey squares is 1 : 2

What is the ratio of black squares to grey squares in pattern B?

1 mark

21

Now look at this new pattern.

What percentage of the new pattern is black?

1 mark


Here are three questions and answers about bananas.

22


How much of the money each person pays for bananas in one year goes to the growers?

2 marks

If you know 40% of a number, explain how you could work out the original number.

1 mark

23


40 children predicted who would win the boys’ race at sports day.

This pie chart shows their predictions.

24

What percentage of the children predicted that Stefan would win?

1 mark


10 children predicted the winner of the race correctly.

Who won the race?


1 mark

Here is a grid of 20 squares.

What percentage of the grid is shaded?

1 mark

25



Emily makes 250 grams of a snack mixture.

15% of the weight is raisins, 25% is banana chips and the rest is peanuts.

How many grams of peanuts does she use?

2 marks

26


Here is a pattern on a grid.

What percentage of the grid is shaded?

1 mark

27

This pie chart shows how the children in Class 6 best like their potatoes cooked.

28


32 children took part in the survey.

Look at the four statements below.

For each statement put a tick (✔) if it is correct.Put a cross (✘) if it is not correct.

10 children like chips best.

25% of the children like mashed potatoes best.

12 children like jacket potatoes best.

2 marks

of the children like roast potatoes best.

Write in the missing numbers.

30% of 60 is

1 mark

30% of is 60

1 mark

29

Calculate 5% of £3600

1 mark

30


The pie charts show the results of a school’s netball and football matches.

The netball team played 30 games.

The football team played 24 games.

31

Estimate the percentage of games that the netball team lost.

1 mark

David says,

'The two teams won the same number of games'.

Is he correct?Circle Yes or No.

Yes / No


1 mark



250 000 people visited a theme park in one year.

15% of the people visited in April and

40% of the people visited in August.

How many people visited the park in the rest of the year?

2 marks

32



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

33

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

Calculate 24% of 525

1 mark

34


The Year 6 children in a school were asked to choose a musical instrument.

This is a pie chart of their choices.

Estimate what fraction of the children chose a drum.

1 mark

35

There are 80 children in Year 6.

Estimate the number of children who chose a violin.

1 mark

Explain how you decided.

1 mark


15% of the 80 children chose a guitar.

How many children is this?

2 marks


Mark schemes

Both correct for 1 mark.

[1]

1

Circles drawn around all of

If extra circles are drawn, do not award the mark unless theintention is clear. Accept any other clear way of indicating theseamounts.

[1]

2

70% 0.55

Two fractions circled as shown:

Both fractions must be indicated for the award of the mark.

Accept any other clear way of indicating the correct fractions,such as ticking or underlining.

[1]

3

(a) An answer in the range 1/5 to 3/10 OR 20% to 30%OR 0.2 to 0.3 INCLUSIVE.

Numbers in range 20 to 30 must have % sign, eg:

• Do not accept ‘25’1

4

(b) An answer in the range 15 to 25 kg INCLUSIVE.1


(c) Award TWO marks for correct answer of 91 kg.

If answer is incorrect, award ONE mark for appropriate calculation, eg:

• 70/100 × 130 = wrong answer;

• 10% is 13 so 70% 7 × 313 = wrong answer.

• H + 2H + H + 2H = 126

• 20 + 40 + 20 + 40 = 120

A calculation MUST be performed for award of one mark.‘70/100 × 130’ alone is insufficient for award of one mark.

Up to 2

[4]

£140

Do not accept 140%

[1]

5

35%

[1]6

352

Do not accept 352%

[1]

7

An explanation which recognises that 10% of 55 is not a whole number, eg:

■ ‘It wouldn’ t be a whole number of people’

■ ‘No whole number out of 55 will give you 10%’

■ ‘If it was 5 people, 5 out of 55 isn’ t 10%.6 out of 55 isn’ t 10% either’

8

■ ‘10% of 55 is , and you can’ t have people’

■ ‘Because you can’ t have half a person.’

Do not accept vague or incomplete explanations, eg:

■ ‘You can't get 10% of 55’

■ ‘Some children write with both hands’.U1

[1]

■ ‘ ’


Award TWO marks for a correct answer of 30

If the answer is incorrect, award ONE mark for evidence of appropriate working, eg:

■ 10% of 200 = 20

25% of 200 = 50

50 – 20 = wrong answer

9

OR

■ 25% – 10% = 15%

15% of 200 = wrong answer

Working must be carried through to reach an answer for the awardof ONE mark.

Up to 2m

[2]

(a) 91

(b) 45%1

[2]

10

An explanation which correctly compares two percentages or two scores, eg:

• ‘40 out of 80 is 50%’

• ‘50% is more than 40%’

• ‘40% of 80 is 32’

• ‘40 out of 80 is better than 40 out of 100’

• ‘40 out of 80 is more than 32 out of 80’

• ‘Kate has less than half marks’.

11


No mark is awarded for circling ‘Hassan’ alone.


• ‘Hassan has half marks’

• ‘Percentages are bigger’

• ‘Hassan has more than 40%’

• ‘Kate has less than 40 out of 80’.

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

U1

[1]

£1.25

Accept also £1-25, £1.25p or £1 25 (with a clear gap betweenthe 1 and 25).

[1]

12

Any three squares shaded, eg

Shaded squares need not be joined in any way.

Shading may be in terms of part squares, eg

Accept slight inaccuracies in shading provided theintention is clear.

[1]

13

75

[1]

14


1602

or

32 seen (number who play tennis)

Do not accept 32% seen

15

OR

Shows or implies a complete correct method, eg:

• 8 × 4 × 5

• 25% of tennis is 88 × 4 = 24 (error)tennis is 20% of sports club24 × 5 = 120

1

[2]

Award TWO marks for the correct answer of 160

If the answer is incorrect, award ONE mark forevidence of appropriate working, eg:

• 64 ÷ 2 = 32

64 + 64 + 32 = wrong answer

16

OR

• 64 × 5 = 320

320 ÷ 2 = wrong answer

Working must be carried through to reachan answer for the award of ONE mark.

Up to 2U1

[2]

(a) Answer in the range 15% inclusive to 25% exclusive

Do not accept 25%1

(b) Answer in the range 200 g to 400 g exclusive

Do not accept 200 g OR 400 g.1

[2]

17


Numbers in order as shown:

0.34 43% 0.7

Accept use of equivalent fractions, decimals or percentages, eg 0.34, 0.43, 0.7, 0.75

[1]

18

25 %

Do not accept equivalent fractions or decimals

[1]

19

60%U1

[1]

20

1 : 31

28%

Do not accept equivalent fractions or decimals1

[2]

21

16.8p or 17p or equivalent2

or

Shows the digits 168 or 17

or

Shows a complete correct method with not more than one computational or rounding erroreg• 56 × 10 × 3 ÷ 100• 5.6(0) × 0.03• 560 ÷ 100 = 5.66p (premature rounding) × 3 = 18

! MoneySee general guidance

1

[2]

22


An explanation which recognises that 40% of the number must be

multiplied by 2 , or equivalent, eg:

• ‘You multiply by 2.5’

• ‘Halve it and multiply by 5’

• ‘Divide by 4 to get 10% and then multiply by 10’

• ‘Divide by 40 then multiply by 100’

• ‘If you had 100, quarter of 100 is 25, then times by 10 to get 250’

• ‘Double it and add half of it’.


• ‘Start with the original number and find 40% of it’

• ‘Find 10% and multiply by 10’

• ‘Divide by 4 to find 10% and then you can find 100%’

• ‘Find 1% and multiply by 100’

• ‘If you had 20 it would be 50’

• ‘Add 60%’U1

[1]

23

(a) 20%

Do not accept equivalent fractions or decimals.1

24


(b) An explanation which recognises that 25% chose Jack, eg:

• ‘A quarter of the children guessed Jack and that is 10 out of 40’

• ‘Half guessed Amir which is 20 and Jack is half of that which is 10’

• ‘10 guessed right and the pie chart shows three times as manychose the other runners’

• ‘25% chose Jack and 25% were correct’

•

No mark is awarded for ‘Jack’ alone.


• ‘There were 40 children altogether’

• ‘Less than half chose Jack’

• ‘Because Jack is the fastest’.

If the answer to ‘Who won the race?’ is incorrect, but a correct,unambiguous explanation is given, then award the mark.

U1

[2]

• ‘10 out of 40 ( ) were correct and the pie chart shows chose Jack’

30%

Do not accept equivalent fractions or decimals.

[1]

25

Award TWO marks for the correct answer of 150

If the answer is incorrect, award ONE mark for evidence ofappropriate working, eg:

• 15 + 25 = 40100 – 40 = 6010% of 250 = 2525 × 6 = wrong answer

26

OR

• 100% – 40% = 60%60% of 250 = wrong answer


OR

Working must be carried through to reach an answer for the awardof ONE mark.

Up to 2

[2]

• 15% of 250 = 37

25% of 250 = 62

250 – 37 – 62 = wrong answer

40%

Do not accept equivalent fractions or decimals.

[1]

27

Award TWO marks for boxes ticked and crossed as shown:

If the answer is incorrect, award ONE mark for any three boxescorrectly completed.

Accept alternative unambiguous indications such as Y or N.

For TWO marks, accept:

Up to 2

[2]

28


(a) 18

Do not accept 18%1

(b) 200

Do not accept 200%

If the answer for part (a) is 18% AND the answer for (b) is200%, awardONE mark only in the part (b) box.

1

[2]

29

£180

Do not accept 180%

[1]

30

(a) Answer in the range 30% to 36% inclusive.1

(b) An explanation which recognises that both teams won half their games,but both teams played a different number of games, eg

• Half of 30 is not the same as half of 24

• Because of 30 e 15 but of 24 = 12

• Because 15 is more than 12

No mark is awarded for circling ‘No’ alone.

Do not accept vague or arbitrary explanation, eg

• The netball team played more games;

• Both teams won half their games;

• 30 is more than 24

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

U1

[2]

31

Award TWO marks for the correct answer of 112 500

If the answer is incorrect, award ONE mark for evidence of appropriate method, eg

• 45% of 250 000

Answer need not be obtained for the award of ONE mark.Up to 2

[2]

32


(a) £17 500

Accept 17500 with or without commas or spaces.1

(b) An explanation which recognisesthat 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 giventhen award the mark.

1

[2]

33

126

[1]34

(a) The answer is approximately 1/7. Accept any fraction, percentage or decimalin the range:

• 1/9 to 1/5, inclusive

• 11% to 20%, inclusive

• 0.11 to 0.2, inclusive1

35

(b) The correct answer is 10. Accept any number in the range 8 to 12, inclusive.1

(c) The explanation should make reference, in some form, to appropriatefractional estimates, eg:

• “Because it looks like a quarter of a half and that’s 10.”

• “I thought the violin looked like half the trumpet and that was about a quarter.”

• “I decided this because 1/4 was 20 children, so I halved 20 and made it 10.”

Explanations which lack specific reference to appropriate fractionsshould not be awarded the mark, eg:

• “Because it’s a bit less than the trumpet.”

• “Because there are 6 parts to the pie chart.”1


(d) Award TWO marks for the correct answer of 12, even if thereare errors in the working.

Award ONE mark if the answer is incorrect, but there is evidence of an attempt to calculate15% of 80 by any method, eg:

• 15/100 × 80 = (incorrect answer given)

• 10% of 80 = 8, 5% is 4, so 15% of 80 = (incorrect answer given)

• 1% of 80 = 80/100 = 4/5, so 15% = 4/5 × 15 = (incorrect answer given)

The writing of “15/100 × 80” (or equivalent) alone is not sufficientevidence of an attempt to calculate.

Up to 2

[5]


Documents

Draw a line to join each fraction to a percentage of the ... fileThe family throws away 130 kg of paper and card. 70% of this is newspapers . What is the weight of newspapers ? €