Fractions of Quantities – Higher – 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 Higher: June 2017 Paper 3, Q9 AQA Higher: June 2017 Paper 3, Q9 There are 660 boys and 840 girls in a school. The probability that a boy chosen at random studies Drama is 2 5 The probability that a girl chosen at random studies Drama is 3 7 1 There are 660 boys and 840 girls in a school. The probability that a boy chosen at random studies Drama is 2 5 The probability that a girl chosen at random studies Drama is 3 7 1 (a) Work out the number of students in the school who study Drama. 1 (a) Work out the number of students in the school who study Drama. [3 marks] [3 marks] Answer Answer 1 (b) Work out the probability that a student chosen at random from the whole school does not study Drama. 1 (b) Work out the probability that a student chosen at random from the whole school does not study Drama. [2 marks] [2 marks] Answer Answer

1 3 less than March 1 3 less than March AQA Higher: May 2018 Paper 1, Q23 AQA Higher: May 2018 Paper 1, Q23 1 A shopkeeper compares the income from sales of a laptop in March and April. 1 A shopkeeper compares the income from sales of a laptop in March and April. April April Price 2 5 more than March Number sold 1 3 less than March Price 2 5 more than March Number sold 1 3 less than March By what fraction does the income from these sales decrease in April? By what fraction does the income from these sales decrease in April? [3 marks] [3 marks] Answer Answer

AQA Higher: November 2017 Paper 2, Q14 A ball is thrown from a height of 15 metres. It bounces to height ℎ1, then to height ℎ2, as shown. 1 A ball is thrown from a height of 15 metres. It bounces to height ℎ1, then to height ℎ2, as shown. Not drawn accurately Not drawn accurately 15 m 15 m ℎ1 ℎ2 ℎ1 ℎ2 ℎ1 is three quarters of the original height. Tom expects ℎ2 to be three quarters of ℎ1 Work out the value of ℎ2 that he expects. ℎ1 is three quarters of the original height. Tom expects ℎ2 to be three quarters of ℎ1 Work out the value of ℎ2 that he expects. 1 (a) 1 (a) [2 marks] [2 marks] Answer metres Answer metres 1 (b) In fact ℎ2 is two thirds of ℎ1. How does this affect the answer to part (a)? Show working to support your answer. 1 (b) In fact ℎ2 is two thirds of ℎ1. How does this affect the answer to part (a)? Show working to support your answer. [2 marks] [2 marks]

AQA Higher: June 2017 Paper 3, Q9 There are 660 boys and 840 girls in a school. The probability that a boy chosen at random studies Drama is 2 5 The probability that a girl chosen at random studies Drama is 3 7 1 (a) Work out the number of students in the school who study Drama. [3 marks] Answer 1 (b) Work out the probability that a student chosen at random from the whole school does not study Drama. [2 marks] Answer

1 3 less than March AQA Higher: May 2018 Paper 1, Q23 1 A shopkeeper compares the income from sales of a laptop in March and April. April Price 2 5 more than March Number sold 1 3 less than March By what fraction does the income from these sales decrease in April? [3 marks] Answer

AQA Higher: November 2017 Paper 2, Q14 A ball is thrown from a height of 15 metres. It bounces to height ℎ1, then to height ℎ2, as shown. Not drawn accurately 15 m ℎ1 ℎ2 ℎ1 is three quarters of the original height. Tom expects ℎ2 to be three quarters of ℎ1 Work out the value of ℎ2 that he expects. 1 (a) [2 marks] Answer metres 1 (b) In fact ℎ2 is two thirds of ℎ1. How does this affect the answer to part (a)? Show working to support your answer. [2 marks]

Boys: 660 × 2 5 = 264 Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624 AQA Higher: June 2017 Paper 3, Q9 1 There are 660 boys and 840 girls in a school. The probability that a boy chosen at random studies Drama is 2 5 The probability that a girl chosen at random studies Drama is 3 7 1 (a) Work out the number of students in the school who study Drama. Boys: 660 × 2 5 = 264 [3 marks] Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624 Answer 1 (b) Work out the probability that a student chosen at random from the whole school does not study Drama. [2 marks] Total students = 660 + 840 = 1500 NOT drama = 1500 – 624 = 876 876 1500 73 125 OR Answer

Price in April = 1 + 2 5 = 7 5 No. sold in April = 1 − 1 3 = 2 3 AQA Higher: May 2018 Paper 1, Q23 1 A shopkeeper compares the income from sales of a laptop in March and April. April Price 2 5 more than March Number sold 1 3 less than March By what fraction does the income from these sales decrease in April? Price in April = 1 + 2 5 = 7 5 [3 marks] No. sold in April = 1 − 1 3 = 2 3 Income = price × no. sold = 7 5 × 2 3 = 14 15 Fraction decrease = 1− 14 15 = 1 15 1 15 Answer

AQA Higher: November 2017 Paper 2, Q14 A ball is thrown from a height of 15 metres. It bounces to height ℎ1, then to height ℎ2, as shown. Not drawn accurately 15 m ℎ1 ℎ2 ℎ1 is three quarters of the original height. Tom expects ℎ2 to be three quarters of ℎ1 Work out the value of ℎ2 that he expects. 1 (a) [2 marks] 3 4 = 0.75 15 × 0.75 × 0.75 = 8.4375 Answer metres 1 (b) In fact ℎ2 is two thirds of ℎ1. How does this affect the answer to part (a)? Show working to support your answer. [2 marks] 15 × 3 4 × 2 3 = 7.5 metres Decreases the answer

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