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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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

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 :

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 : 10 000 1 : 100 000 1 : 100 1 : 1000 1 : 10 000 1 : 100 000 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 : 10 000 1 : 100 000 1 : 100 1 : 1000 1 : 10 000 1 : 100 000 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: 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]

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

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

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 :

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

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

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

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

3 5 AQA Foundation: May 2017 Paper 1, Q24 3 5 AQA Foundation: May 2017 Paper 1, Q24 1 1 2 : 3 5 = 𝑥 : 1 Circle the value of 𝑥. 1 1 2 : 3 5 = 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 : 3 4 = 𝑦 : 2 Circle the value of 𝑦. 2 1 3 : 3 4 = 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 : 3 5 = 𝑥 : 1 Circle the value of 𝑥. 1 1 2 : 3 5 = 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 : 3 4 = 𝑦 : 2 Circle the value of 𝑦. 2 1 3 : 3 4 = 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

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

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

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 :

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

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: 4 5 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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