plumiDirect and inverse proportion: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on R10 Direct and inverse proportion, 2017–2025, with its mark scheme and examiner’s report.
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All 17 questions on Direct and inverse proportion, as a list
- June 2025, Paper 2H, Q17 (2 marks): Here is a sketch of part of the graph of y = k x where k is a positive constant. y (–1, 1.5) x O The graph passes through the point with coordinates (–1, 1.5) F
- November 2024, Paper 2H, Q13 (5 marks): Here is a table of values of x and y. x 2 4 6 8 y 0 4 8 12 Nadia says that y is directly proportional to x because the value of y increases by 4 as the value of
- June 2024, Paper 2H, Q3 (2 marks): The number of hours, H, that some machines take to make 5000 bottles is given by = 72 where n is the number of machines. H n On Monday, 6 machines made 5000 bot
- November 2023, Paper 2H, Q11 (2 marks): y y Graph A Graph B O O x x y y Graph C Graph D O O x x The graphs of y against x represent four different types of proportionality. Match each type of proporti
- November 2023, Paper 3H, Q6 (2 marks): A company orders a large number of plates from a factory. It would take 30 hours to make all the plates using 4 machines. How many machines are needed to make a
- June 2023, Paper 1H, Q13 (3 marks): y is directly proportional to x. y = 24 when x = 1.5 Work out the value of y when x = 5 y =
- June 2023, Paper 3H, Q4 (2 marks): It takes 14 hours for 5 identical pumps to fill a water tank. How many hours would it take 4 of these pumps to fill another water tank of the same size? hours
- November 2022, Paper 1H, Q13 (3 marks): p is inversely proportional to t Complete the table of values. t 100 25 2 p 1 5
- June 2022, Paper 2H, Q11 (3 marks): Kieron has 13 workers he can use for a job. He knows that 6 workers would take 14 1 2 days to complete this job. Show that Kieron has enough workers to finish t
- November 2021, Paper 3H, Q9 (3 marks): On Monday, 12 people took 5 hours to clean a number of cars. On Tuesday, 15 people cleaned the same number of cars. Assuming that all the people worked at the s
- November 2020, Paper 3H, Q4 (5 marks): Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9 m. Grass seed is sold in 2 kg boxes. Maisie wants to make a rectangular lawn
- November 2019, Paper 2H, Q8 (3 marks): The number of days, d, that it will take to build a house is given by d = n where n is the number of workers used each day. Ali’s company will take 40 days to b
- June 2019, Paper 3H, Q9 (3 marks): A company has to make a large number of boxes. The company has 6 machines. All the machines work at the same rate. When all the machines are working, they can m
- November 2018, Paper 1H, Q4 (3 marks): It would take 120 minutes to fill a swimming pool using water from 5 taps. (a) How many minutes will it take to fill the pool if only 3 of the taps are used? mi
- November 2018, Paper 3H, Q5 (4 marks): Lara is a skier. She completed a ski race in 1 minute 54 seconds. The race was 475 m in length. Lara assumes that her average speed is the same for each race. (
- June 2018, Paper 2H, Q12 (2 marks): y y Graph A Graph B O x O x y y Graph C Graph D O x O x The graphs of y against x represent four different types of proportionality. Match each type of proporti
- November 2017, Paper 2H, Q9 (3 marks): is 3 marks)
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