1. Ratio – Mixed – Foundation – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

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3. AQA Foundation: June 2017 Paper 2, Q16
The counters in a bag are green or yellow.
One sixth of the counters are yellow.
Work out the ratio green counters : yellow counters
Circle your answer.
[1 mark] 1
The counters in a bag are green or yellow.
One sixth of the counters are yellow.
Work out the ratio green counters : yellow counters
Circle your answer.
[1 mark]
6 : 4
5 : 1
5 : 6
1 : 5
6 : 4
5 : 1
5 : 6
1 : 5 2
The counters in a bag are blue or green.
Two sevenths of the counters are blue.
Work out the ratio blue counters : green counters
Circle your answer.
[1 mark] 2
The counters in a bag are blue or green.
Two sevenths of the counters are blue.
Work out the ratio blue counters : green counters
Circle your answer.
[1 mark]
2 : 7
5 : 2
7 : 2
2 : 5
2 : 7
5 : 2
7 : 2
2 : 5
AQA Foundation: June 2017 Paper 2, Q16
AQA Foundation: June 2017 Paper 2, Q16 1
The counters in a bag are green or yellow.
One sixth of the counters are yellow.
Work out the ratio green counters : yellow counters
Circle your answer.
[1 mark] 1
The counters in a bag are green or yellow.
One sixth of the counters are yellow.
Work out the ratio green counters : yellow counters
Circle your answer.
[1 mark]
6 : 4
5 : 1
5 : 6
1 : 5
6 : 4
5 : 1
5 : 6
1 : 5 2
The counters in a bag are blue or green.
Two sevenths of the counters are blue.
Work out the ratio blue counters : green counters
Circle your answer.
[1 mark] 2
The counters in a bag are blue or green.
Two sevenths of the counters are blue.
Work out the ratio blue counters : green counters
Circle your answer.
[1 mark]
2 : 7
5 : 2
7 : 2
2 : 5
2 : 7
5 : 2
7 : 2
2 : 5

5. AQA Foundation: May 2018 Paper 1, Q22
Ashley plays a game with her friend.
Each game is a win or a loss.
She wins four fifths of her first 20 games.
She then loses one of her next 10 games.
For all 30 games, work out the ratio wins : losses
Give your answer in its simplest form. 1
Ashley plays a game with her friend.
Each game is a win or a loss.
She wins four fifths of her first 20 games.
She then loses one of her next 10 games.
For all 30 games, work out the ratio wins : losses
Give your answer in its simplest form.
[3 marks]
[3 marks]
Answer :
Answer :

7. AQA Foundation: May 2018 Paper 1, Q18
Circle the ratio which is the same as the scale
1 cm represents 1 km 1
Circle the ratio which is the same as the scale
1 cm represents 1 km
[1 mark]
[1 mark]
1 : 100
1 : 1000
1 :
1 :
1 : 100
1 : 1000
1 :
1 : 2
Circle the ratio which is the same as the scale
50 cm represents 10 m 2
Circle the ratio which is the same as the scale
50 cm represents 10 m
[1 mark]
[1 mark]
1 : 10
1 : 20
1 : 200
1 : 2000
1 : 10
1 : 20
1 : 200
1 : 2000
AQA Foundation: May 2018 Paper 1, Q18
AQA Foundation: May 2018 Paper 1, Q18 1
Circle the ratio which is the same as the scale
1 cm represents 1 km 1
Circle the ratio which is the same as the scale
1 cm represents 1 km
[1 mark]
[1 mark]
1 : 100
1 : 1000
1 :
1 :
1 : 100
1 : 1000
1 :
1 : 2
Circle the ratio which is the same as the scale
50 cm represents 10 m 2
Circle the ratio which is the same as the scale
50 cm represents 10 m
[1 mark]
[1 mark]
1 : 10
1 : 20
1 : 200
1 : 2000
1 : 10
1 : 20
1 : 200
1 : 2000

9. AQA Foundation: June 2017 Paper 2, Q19
Joe and Helen play baseball.
Helen’s ratio of hits to misses is 6 : 1
Joe’s ratio of hits to misses is 4 : 1
Helen says,
“6 is bigger than 4, so I must have more hits than Joe.”
Give an example to show that this might not be true. 1
Joe and Helen play baseball.
Helen’s ratio of hits to misses is 6 : 1
Joe’s ratio of hits to misses is 4 : 1
Helen says,
“6 is bigger than 4, so I must have more hits than Joe.”
Give an example to show that this might not be true.
[2 marks]
[2 marks]
AQA Foundation: June 2017 Paper 2, Q19
AQA Foundation: June 2017 Paper 2, Q19 1
Joe and Helen play baseball.
Helen’s ratio of hits to misses is 6 : 1
Joe’s ratio of hits to misses is 4 : 1
Helen says,
“6 is bigger than 4, so I must have more hits than Joe.”
Give an example to show that this might not be true. 1
Joe and Helen play baseball.
Helen’s ratio of hits to misses is 6 : 1
Joe’s ratio of hits to misses is 4 : 1
Helen says,
“6 is bigger than 4, so I must have more hits than Joe.”
Give an example to show that this might not be true.
[2 marks]
[2 marks]

11. AQA Foundation: June 2017 Paper 3, Q17
AB and CD are lines of length 12 units 1
AB and CD are lines of length 12 units
1 (a)
AX : AB = 1 : 2
Mark point X on the line with a cross.
1 (a)
AX : AB = 1 : 2
Mark point X on the line with a cross.
[1 mark]
[1 mark] A B A B
1 (b)
CP : PD = 1 : 5
Mark point E on the line with a cross.
1 (b)
CP : PD = 1 : 5
Mark point E on the line with a cross.
[1 mark]
[1 mark] C D C D
AQA Foundation: June 2017 Paper 3, Q17
AQA Foundation: June 2017 Paper 3, Q17 1
AB and CD are lines of length 12 units 1
AB and CD are lines of length 12 units
1 (a)
AX : AB = 1 : 2
Mark point X on the line with a cross.
1 (a)
AX : AB = 1 : 2
Mark point X on the line with a cross.
[1 mark]
[1 mark] A B A B
1 (b)
CP : PD = 1 : 5
Mark point E on the line with a cross.
1 (b)
CP : PD = 1 : 5
Mark point E on the line with a cross.
[1 mark]
[1 mark] C D C D

13. AQA Foundation: November 2017 Paper 1, Q22
𝑥 : 𝑦 = 11 : 4
𝑥 + 𝑦 = 75
Work out the value of 𝑥 – 𝑦 1
𝑥 : 𝑦 = 11 : 4
𝑥 + 𝑦 = 75
Work out the value of 𝑥 – 𝑦
[3 marks]
[3 marks]
Answer
Answer
AQA Foundation: November 2017 Paper 1, Q22
AQA Foundation: November 2017 Paper 1, Q22 1
𝑥 : 𝑦 = 11 : 4
𝑥 + 𝑦 = 75
Work out the value of 𝑥 – 𝑦 1
𝑥 : 𝑦 = 11 : 4
𝑥 + 𝑦 = 75
Work out the value of 𝑥 – 𝑦
[3 marks]
[3 marks]
Answer
Answer

15. AQA Foundation: November 2017 Paper 2, Q19
Divide 180 in the ratio 1 : 5
[2 marks]
1 (a)
Divide 180 in the ratio 1 : 5
[2 marks]
Answer :
Answer :
1 (b)
Write the ratio 5 : 3 in the form n : 1
1 (b)
Write the ratio 5 : 3 in the form n : 1
[1 mark]
[1 mark]
Answer :
Answer :
AQA Foundation: November 2017 Paper 2, Q19
AQA Foundation: November 2017 Paper 2, Q19
1 (a)
Divide 180 in the ratio 1 : 5
[2 marks]
1 (a)
Divide 180 in the ratio 1 : 5
[2 marks]
Answer :
Answer :
1 (b)
Write the ratio 5 : 3 in the form n : 1
1 (b)
Write the ratio 5 : 3 in the form n : 1
[1 mark]
[1 mark]
Answer :
Answer :

17. AQA Foundation: May 2018 Paper 1, Q8
Hannah, Anna and Sally share 40 sweets.
Sally gets the largest share.
What is the smallest possible number of sweets that Sally could get? 1
Hannah, Anna and Sally share 40 sweets.
Sally gets the largest share.
What is the smallest possible number of sweets that Sally could get?
[2 marks]
[2 marks]
Answer
Answer
AQA Foundation: May 2018 Paper 1, Q8
AQA Foundation: May 2018 Paper 1, Q8 1
Hannah, Anna and Sally share 40 sweets.
Sally gets the largest share.
What is the smallest possible number of sweets that Sally could get? 1
Hannah, Anna and Sally share 40 sweets.
Sally gets the largest share.
What is the smallest possible number of sweets that Sally could get?
[2 marks]
[2 marks]
Answer
Answer

19. AQA Foundation: May 2018 Paper 1, Q24
Divide 299 in the ratio 8 : 5 1
Divide 299 in the ratio 8 : 5
[3 marks]
[3 marks]
Answer
and
Answer
and
AQA Foundation: May 2018 Paper 1, Q24
AQA Foundation: May 2018 Paper 1, Q24 1
Divide 299 in the ratio 8 : 5 1
Divide 299 in the ratio 8 : 5
[3 marks]
[3 marks]
Answer
and
Answer
and

21. AQA Foundation: May 2017 Paper 1, Q15
In an athletics club,
men : women = 1 : 1
men who run : men who throw = 1 : 3
12 men run in the athletics club.
How many people are in the club altogether? 1
In an athletics club,
men : women = 1 : 1
men who run : men who throw = 1 : 3
12 men run in the athletics club.
How many people are in the club altogether?
[3 marks]
[3 marks]
Answer
Answer
AQA Foundation: May 2017 Paper 1, Q15
AQA Foundation: May 2017 Paper 1, Q15 1
In an athletics club,
men : women = 1 : 1
men who run : men who throw = 1 : 3
12 men run in the athletics club.
How many people are in the club altogether? 1
In an athletics club,
men : women = 1 : 1
men who run : men who throw = 1 : 3
12 men run in the athletics club.
How many people are in the club altogether?
[3 marks]
[3 marks]
Answer
Answer

23. AQA Foundation: June 2017 Paper 3, Q21
Turquoise paint is made by mixing blue paint and yellow paint
in the ratio 7 : 4
Holly has 50 litres of blue paint and 15 litres of yellow paint.
What is the maximum amount of turquoise paint she can make? 1
Turquoise paint is made by mixing blue paint and yellow paint
in the ratio 7 : 4
Holly has 50 litres of blue paint and 15 litres of yellow paint.
What is the maximum amount of turquoise paint she can make?
[3 marks]
[3 marks]
Answer
litres
Answer
litres
AQA Foundation: June 2017 Paper 3, Q21
AQA Foundation: June 2017 Paper 3, Q21 1
Turquoise paint is made by mixing blue paint and yellow paint
in the ratio 7 : 4
Holly has 50 litres of blue paint and 15 litres of yellow paint.
What is the maximum amount of turquoise paint she can make? 1
Turquoise paint is made by mixing blue paint and yellow paint
in the ratio 7 : 4
Holly has 50 litres of blue paint and 15 litres of yellow paint.
What is the maximum amount of turquoise paint she can make?
[3 marks]
[3 marks]
Answer
litres
Answer
litres

25. 3 5
AQA Foundation: May 2017 Paper 1, Q24
3 5
AQA Foundation: May 2017 Paper 1, Q24 1
1 2 : = 𝑥 : 1
Circle the value of 𝑥. 1
1 2 : = 𝑥 : 1
Circle the value of 𝑥.
[1 mark]
[1 mark]
1 2
5 6
3 4
1 3
1 2
5 6
3 4
1 3 2
1 3 : = 𝑦 : 2
Circle the value of 𝑦. 2
1 3 : = 𝑦 : 2
Circle the value of 𝑦.
[1 mark]
[1 mark]
4 5
1 3
5 6
8 9
4 5
1 3
5 6
8 9
3 5
AQA Foundation: May 2017 Paper 1, Q24
3 5
AQA Foundation: May 2017 Paper 1, Q24 1
1 2 : = 𝑥 : 1
Circle the value of 𝑥. 1
1 2 : = 𝑥 : 1
Circle the value of 𝑥.
[1 mark]
[1 mark]
1 2
5 6
3 4
1 3
1 2
5 6
3 4
1 3 2
1 3 : = 𝑦 : 2
Circle the value of 𝑦. 2
1 3 : = 𝑦 : 2
Circle the value of 𝑦.
[1 mark]
[1 mark]
4 5
1 3
5 6
8 9
4 5
1 3
5 6
8 9

27. AQA Foundation: June 2018 Paper 2, Q20
a : b = 7 : 4
How many times larger is a than b ?
Circle your answer.
[1 mark] 1
a : b = 7 : 4
How many times larger is a than b ?
Circle your answer.
[1 mark] 2
1.75
0.75
2.5 2
1.75
0.75
2.5 2
a : b = 4 : 5
How many times larger is b than a ?
Circle your answer.
[1 mark] 2
a : b = 4 : 5
How many times larger is b than a ?
Circle your answer.
[1 mark]
0.25
0.2 2
1.25
0.25
0.2 2
1.25
AQA Foundation: June 2018 Paper 2, Q20
AQA Foundation: June 2018 Paper 2, Q20 1
a : b = 7 : 4
How many times larger is a than b ?
Circle your answer.
[1 mark] 1
a : b = 7 : 4
How many times larger is a than b ?
Circle your answer.
[1 mark] 2
1.75
0.75
2.5 2
1.75
0.75
2.5 2
a : b = 4 : 5
How many times larger is b than a ?
Circle your answer.
[1 mark] 2
a : b = 4 : 5
How many times larger is b than a ?
Circle your answer.
[1 mark]
0.25
0.2 2
1.25
0.25
0.2 2
1.25

29. AQA Foundation: June 2018 Paper 2, Q26
Max starts with savings of £12
Millie starts with no savings.
Each week from now,
Max will save £3.50 and Millie will save £3
In how many weeks will Max and Millie
have savings in the ratio 5 : 3 ? 1
Max starts with savings of £12
Millie starts with no savings.
Each week from now,
Max will save £3.50 and Millie will save £3
In how many weeks will Max and Millie
have savings in the ratio 5 : 3 ?
[3 marks]
[3 marks]
Answer
Answer
AQA Foundation: June 2018 Paper 2, Q26
AQA Foundation: June 2018 Paper 2, Q26 1
Max starts with savings of £12
Millie starts with no savings.
Each week from now,
Max will save £3.50 and Millie will save £3
In how many weeks will Max and Millie
have savings in the ratio 5 : 3 ? 1
Max starts with savings of £12
Millie starts with no savings.
Each week from now,
Max will save £3.50 and Millie will save £3
In how many weeks will Max and Millie
have savings in the ratio 5 : 3 ?
[3 marks]
[3 marks]
Answer
Answer

32. AQA Foundation: May 2018 Paper 1, Q22
Ashley plays a game with her friend.
Each game is a win or a loss.
She wins four fifths of her first 20 games.
She then loses one of her next 10 games.
For all 30 games, work out the ratio wins : losses
Give your answer in its simplest form.
[3 marks]
Answer :

45. 5 6 1 6 2 7 5 7 AQA Foundation: June 2017 Paper 2, Q16
The counters in a bag are green or yellow.
One sixth of the counters are yellow.
Work out the ratio green counters : yellow counters
Circle your answer. 1
[1 mark]
6 : 4
5 : 1
5 : 6
1 : 5
5 6
1 6
The counters in a bag are blue or green.
Two sevenths of the counters are blue.
Work out the ratio blue counters : green counters
Circle your answer. 2
[1 mark]
2 : 7
5 : 2
7 : 2
2 : 5
2 7
5 7

46. Wins in first 20: 4 5 of 20 = 16 Won 9 out of next 10. Total wins = 25
AQA Foundation: May 2018 Paper 1, Q22 1
Ashley plays a game with her friend.
Each game is a win or a loss.
She wins four fifths of her first 20 games.
She then loses one of her next 10 games.
For all 30 games, work out the ratio wins : losses
Give your answer in its simplest form.
[3 marks]
Wins in first 20: of 20 = 16
Won 9 out of next 10.
Total wins = 25
Total games = 30
Total losses = 30 − 25 = 5
Wins : losses
25 : 5
5 : 1 5 1
Answer :

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