plumiHistograms and cumulative frequency: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on S3 Histograms and cumulative frequency, 2017–2025, with its mark scheme and examiner’s report.
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All 23 questions on Histograms and cumulative frequency, as a list
- June 2025, Paper 4, Q14 (5 marks): The cumulative frequency graph shows the distribution of the examination scores for 120 students. 120 100 80 Cumulative frequency 60 40 20 0 0 10 20 30 40 50 60
- June 2025, Paper 5, Q17 (6 marks): The mass of some parcels are recorded. The table and the histogram each show part of this information. Mass (m kg) 0 1 m 2 2 1 m 5 5 1 m 10 10 1 m 20 G G G G Fr
- November 2024, Paper 4, Q14 (5 marks): The histogram summarises the heights, h cm, of some plants in a garden centre. 2 1.5 Frequency density 1 0.5 0 0 100 200 300 Height (h cm) (a) Show that there a
- November 2024, Paper 5, Q17 (7 marks): A farmer grows pumpkins. The farmer records the masses, m kilograms, of 80 of their pumpkins. The table shows the results. Mass (m kg) 0 1 m 5 5 1 m 10 1 0 1 m
- June 2024, Paper 6, Q13 (6 marks): A group of students record the time taken to travel to school. All students in the group took less than an hour to travel to school. Some of their results are r
- November 2023, Paper 4, Q14 (5 marks): The histogram shows the heights of some plants out of a total of 80 plants. 2 1.8 1.6 1.4 1.2 Frequency 1 density 0.8 0.6 0.4 0.2 0 0 5 10 15 20 25 30 35 40 45
- November 2023, Paper 6, Q19 (5 marks): A fitness centre records how long each customer spends in the gym. This cumulative frequency table summarises the results. Time Cumulative (t minutes) frequency
- June 2023, Paper 6, Q13 (8 marks): A running club records the distances run by each member during December. The results are shown in this histogram. December Frequency density 0 10 20 30 40 50 60
- November 2022, Paper 4, Q15 (7 marks): The cumulative frequency graph shows the distribution of the ages of the members of a tennis club. 70 60 50 40 Cumulative frequency 30 20 10 0 0 10 20 30 40 50
- November 2022, Paper 4, Q21 (4 marks): 60 people each try to solve a puzzle. The table summarises their recorded times. Recorded time Frequency (t minutes) 12 0 1 t 5 G 5 1 5 19 1 t G 18 15 1 t 30 G
- June 2022, Paper 6, Q15 (8 marks): 80 cyclists take part in a race. A summary of their times is shown in the table. Time (t minutes) Frequency 5 20 1 t 25 G 15 25 1 t 30 G 3 0 35 24 1 t G 25 35 1
- November 2021, Paper 4, Q13 (6 marks): The height, h cm, of each member of a tennis club is recorded. The histogram shows some of the results. 3.5 3 Frequency 2.5 density 2 1.5 1 0.5 0 140 150 160 17
- November 2020, Paper 5, Q16 (8 marks): (a) The masses, m kg, of some parcels are shown below. 4 15 14 11 12 3 1 18 13 2 16 10 Jack constructs this grouped frequency table to record the masses. Mass (
- November 2019, Paper 4, Q12 (9 marks): The cumulative frequency graph summarises the annual salary, p (£ thousands), of the 60 workers in a factory. 70 60 50 Cumulative 40 frequency 30 20 10 0 0 10 2
- November 2019, Paper 6, Q15 (7 marks): The histogram shows information about the weights of some of the parcels handled by a delivery company in one month. 250 200 150 Frequency density 100 50 0 50 1
- June 2019, Paper 4, Q13 (11 marks): (a) The cumulative frequency graph shows the distribution of the heights of members of a rowing club. 120 115 110 105 100 95 90 85 80 75 70 65 Cumulative 60 fre
- November 2018, Paper 4, Q12 (5 marks): 30 students completed a puzzle and their times were recorded. All of the students completed the puzzle in less than 50 seconds. The histogram shows information
- November 2018, Paper 5, Q15 (5 marks): The cumulative frequency graph shows information about the marks scored by a group of 80 students in a test. 80 60 Cumulative frequency 40 20 0 30 40 50 60 70 8
- June 2018, Paper 5, Q19 (8 marks): Ceri records the time taken, t minutes, to travel to school for a sample of 168 students at her Academy. Time taken Frequency (t minutes) 0 < t G 10 54 50 10 <
- November 2017, Paper 4, Q10 (5 marks): The histogram summarises a health score for a group of people. 1 0.9 0.8 0.7 Frequency density 0.6 0.5 0.4 0.3 0.2 0.1 0 0 10 20 30 40 50 60 70 80 90 100 Health
- November 2017, Paper 5, Q15 (9 marks): Iqrah carries out a survey of 200 families in the north of England on their weekly spending on food. The cumulative frequency diagram summarises the results. 20
- June 2017, Paper 4, Q12 (4 marks): The cumulative frequency graph shows the speeds, in miles per hour (mph), of vehicles passing a 40 mph speed limit sign on a road. 80 70 60 50 Cumulative freque
- June 2017, Paper 6, Q10 (8 marks): Ana records the amount of money spent by 140 customers in her shop on one day. Amount spent (£a) Frequency 35 0 1 a G 5 42 5 1 a G 10 20 10 1 a G 15 18 15 1 a G
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