plumiProportion equations: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on R13 Proportion equations, 2017–2025, with its mark scheme and examiner’s report.
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All 19 questions on Proportion equations, as a list
- June 2025, Paper 2H, Q24 (3 marks): A study suggests a student’s exam mark, m, is directly proportional to the cube root of total revision time, t hours. A student doubles their total revision tim
- November 2024, Paper 2H, Q5 (1 mark): X is inversely proportional to Y. Circle the correct statement. X is directly proportional to Y X is directly proportional to Y 1 X is directly proportional to
- November 2024, Paper 3H, Q15 (3 marks): Match each equation to a statement to show what happens when the value of x is doubled. One has been done for you.
- November 2024, Paper 3H, Q17 (4 marks): A stone falls vertically from 300 metres above ground. • The stone falls d metres in t seconds. • d is directly proportional to the square of t. • The stone fal
- June 2024, Paper 2H, Q3 (3 marks): A chef has a tub of blueberries. She wants to use all the blueberries put the same number of blueberries on each dessert. D is the number of desserts. b is the
- June 2024, Paper 2H, Q24 (4 marks): A room is kept at a constant temperature of 21° C for 6 hours. The heating is then turned off and the room begins to cool. Here is a sketch graph showing the te
- June 2024, Paper 3H, Q20 (5 marks): P, Q, and R have positive values. P is directly proportional to Q When P = 8, Q = 2 R is inversely proportional to Q2 When R = 10, Q = 3 Work out the value of R
- June 2023, Paper 3H, Q20 (5 marks): (a) Sunil thinks that E and D are linked by the equation E = D 36 The graph shows the values of D and E for 2 ⩽ D ⩽ 6 Choose one point on the graph and state if
- November 2022, Paper 3H, Q16 (5 marks): H is inversely proportional to the cube root of L. H = 7 when L = 64 16 (a) Work out an equation connecting H and L. Answer 16 (b) Work out the value of H when
- November 2021, Paper 2H, Q15 (5 marks): L is directly proportional to D2 L = 85 when D = 10 15 (a) Work out an equation connecting L and D. Answer 15 (b) Work out the value of L when D = 5 Answer
- November 2020, Paper 1H, Q22 (4 marks): (a) y is directly proportional to x3 y = 17 when x = 4 Work out an equation connecting y and x. Answer 22 (b) m is inversely proportional to r The value of r is
- November 2019, Paper 1H, Q12 (1 mark): V = k H where k is a constant. Which two statements are correct? Tick two boxes. V is directly proportional to H V is inversely proportional to H V is directly
- November 2019, Paper 2H, Q26 (5 marks): P, Q and R have positive values. P is directly proportional to the square of Q. When P = 1.25, Q = 0.5 Q is inversely proportional to R. When Q = 0.5, R = 6 Wor
- June 2019, Paper 3H, Q20 (5 marks): d is directly proportional to the square of v. d = 6 when v = 20 20 (a) Work out an equation connecting d and v. Answer 20 (b) Work out the value of d when v =
- November 2018, Paper 2H, Q21 (5 marks): y is inversely proportional to x y = 4 when x = 9 21 (a) Work out an equation connecting y and x. Answer 21 (b) Work out the value of y when x = 25 Answer
- June 2018, Paper 3H, Q21 (5 marks): The mass of an ornament is m grams. The height of the ornament is h centimetres. m is directly proportional to the cube of h. m = 1600 when h = 8 21 (a) Work ou
- November 2017, Paper 2H, Q20 (4 marks): A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres. h is directly proportional to v2 When v = 10, h =
- June 2017, Paper 2H, Q22 (4 marks): A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How far
- June 2017, Paper 3H, Q14 (1 mark): xy = c where c is a constant. Circle the correct statement. y is directly proportional to x y is directly proportional to x 1 y is inversely proportional to x 1
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