Graphs in real contexts: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A14 Graphs in real contexts, 2017–2025, with its mark scheme and examiner’s report.

All 18 questions on Graphs in real contexts, as a list

June 2025, Paper 4, Q21 (6 marks): The graph of a function is drawn on the grid for 0 x 4 . G G y 18 16 14 12 10 8 6 4 2 x 0 0 1 2 3 4 (a) Work out the average rate of change of the function betw
June 2025, Paper 6, Q23 (3 marks): A pot of tea is made using boiling water and left to cool. The temperature, T °C, of the pot of tea after n minutes is given by the formula n T ab . = The graph
November 2024, Paper 4, Q2 (5 marks): You may use these kinematics formulae to answer these questions. v u at = + 2 2 v u 2 as = + A moving particle accelerates at 2 m/s2 for 8 seconds. The particle
June 2024, Paper 4, Q18 (9 marks): (a) The graph shows the speed of an object during the first 20 seconds of its motion. 15 10 Speed (m/s) 5 0 5 10 15 20 Time (s) Calculate the distance travelled
November 2023, Paper 4, Q4 (5 marks): The graph shows Taylor’s journey from home to an airport. During the journey Taylor stops for petrol. 50 40 30 Distance from home (km) 20 10 0 0 10 20 30 40 Tim
November 2023, Paper 5, Q13 (5 marks): (a) Complete the table for y x 4 x . = + -5 -4.5 -4 -3 -2 -1 x 0 1 -25 -10.1 y 0 9 8 0 5 3 2 for - (b) Draw the graph of y x 4 x 5 x G . 1 = + G y 10 5 x -5 -4
June 2023, Paper 4, Q7 (4 marks): Here is a table of values for y 2 x . = - x -4 -3 -2 -1 x 1 2 3 4 -4 -1 -4 -6.5 6.5 4 1 4 y 6 for - (a) Draw the graph of y 2 x 4 x 4 , x 0 . = - ! G G x y 7 6
June 2023, Paper 4, Q19 (5 marks): The graph shows the velocity of a particle over the first 20 minutes of its motion. Velocity Not to scale (m / min) v 0 0 7 15 20 Time (mins) Between 7 minutes
November 2022, Paper 4, Q10 (4 marks): You may use these kinematics formulae to answer this question. v u at = + 1 2 s ut at = + 2 A particle has an initial velocity of 3 m/s. After 20 seconds the pa
November 2022, Paper 5, Q21 (9 marks): The graph of y 2 G x 6 . = G x 2 - y 10 9 8 7 6 5 4 3 2 1 x -2 -1 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 1 (a) There are no values of x for which x . k = 2 - Find the val
June 2022, Paper 5, Q12 (6 marks): An athlete goes for a training run. The graph shows their speed as they run. 4 Not to scale Speed (m/s) 0 400 1000 1200 Time (secs) (a) Write down the athlete’s
June 2022, Paper 6, Q8 (8 marks): 1600 fish are released into a new lake which has no fish. The number of fish is expected to increase by 5% each year. (a) The table shows the expected number of
November 2020, Paper 6, Q3 (6 marks): The graph shows the cost of electricity with Company A. 35 30 25 20 Cost of electricity (£) 15 10 5 0 0 50 100 150 200 250 Electricity used (kwH) (a) Use the in
June 2019, Paper 4, Q14 (7 marks): The graph shows the speed of a train during the first 60 seconds of motion. 25 20 15 Speed (m / s) 10 5 0 0 5 10 15 20 25 30 35 40 45 50 55 60 Time (s) (a) What
June 2019, Paper 5, Q19 (6 marks): The graph of y 2 is drawn on the grid. x x = - - y 8 7 6 5 4 3 2 1 x 0 -1 -0.5 0.5 1 1.5 2 2.5 -1 -2 -3 -4 -5 3 2 (a) Use the graph to solve x x 2 0 . - - = Giv
November 2017, Paper 6, Q10 (3 marks): This graph shows the world population, in billions, between 1951 and 2015. 8 7 6 World population 5 (billions) 4 3 2 1950 1960 1970 1980 1990 2000 2010 Year Use
June 2017, Paper 4, Q15 (13 marks): The graph shows the speed, v metres per second (m/s), of a car at time t seconds. v 30 20 Speed (m/s) 10 0 t 0 1 2 3 4 5 6 7 8 9 10 Time (s) (a) Find the speed
June 2017, Paper 5, Q2 (3 marks): The graph shows Mia’s journey from her home to university. university 160 140 120 100 Distance 80 from home (kilometres) 60 40 20 home 0 0900 1000 1100 Time Cal

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921 questions