plumiHistograms and cumulative frequency: AQA GCSE Maths questions
Every AQA 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 28 questions on Histograms and cumulative frequency, as a list
- June 2025, Paper 2H, Q19 (4 marks): The histogram represents the ages of the 500 members of a gym. The first bar represents the members aged at least 16 and under 20 Each member pays an annual fee
- June 2025, Paper 3H, Q13 (5 marks): The table shows information about the salary of 90 employees. Salary, s (£) Frequency 0 < s ⩽ 20 000 44 20 000 < s ⩽ 40 000 22 40 000 < s ⩽ 60 000 14 60 000 < s
- November 2024, Paper 2H, Q18 (7 marks): Two types of battery, P and Q, were tested. 100 of each type were put into clocks. The number of days each battery lasted was recorded. 18 (a) The frequency tab
- November 2024, Paper 3H, Q18 (4 marks): The table shows information about the height of 40 plants. Height, h cm Frequency Class width 0 ⩽ h < 5 6 5 ⩽ h < 15 15 15 ⩽ h < 25 9 25 ⩽ h < 50 10 Draw a hist
- November 2023, Paper 2H, Q17 (4 marks): 190 people were asked how much they spent on takeaways one month. The table shows information about the results. Amount, x (£) Cumulative frequency 0 < x ⩽ 10 1
- November 2023, Paper 3H, Q13 (5 marks): 100 people were asked about the distance they travel from home to work. The table shows information about the results. Distance, d (miles) Frequency 0 ⩽ d < 5 2
- June 2023, Paper 3H, Q15 (6 marks): 180 runners started a marathon. Some of the runners did not complete it. 15 (a) The histogram represents the times of the runners who did complete the marathon.
- November 2022, Paper 1H, Q17 (6 marks): The table shows information about the heights of 60 athletes. Height, h (cm) Frequency 150 < h ⩽ 160 4 160 < h ⩽ 170 12 170 < h ⩽ 180 35 180 < h ⩽ 190 7 190 < h
- November 2022, Paper 2H, Q23 (5 marks): 61 students recorded how many hours they spent revising for a test. The histogram represents the results. 23 (a) Work out an estimate of the mean time the 61 st
- June 2022, Paper 1H, Q17 (3 marks): 75 people attend a clinic. Their ages are recorded and a cumulative frequency diagram is drawn. A nurse makes a statement about the ages of the people at the cl
- June 2022, Paper 3H, Q25 (4 marks): A company makes tubes of toothpaste. The masses of 80 tubes are checked. A histogram is drawn to represent the data. The company makes 28 000 tubes each day. Es
- November 2021, Paper 1H, Q16 (5 marks): The cumulative frequency graph represents the masses of 40 necklaces. 16 (a) A jeweller buys every necklace with mass greater than 21 grams. Use the graph to es
- November 2021, Paper 3H, Q21 (4 marks): Here is some information about the ages of babies at a clinic. Age, x (weeks) Frequency 0 ⩽ x < 5 18 5 ⩽ x < 10 23 10 ⩽ x < 20 17 20 ⩽ x < 50 21 Draw a histogra
- November 2020, Paper 1H, Q25 (4 marks): A histogram is drawn to represent the heights of a sample of women. Three of the four bars are shown. The bar for 170 cm ⩽ height < 180 cm is missing. There are
- November 2020, Paper 2H, Q17 (4 marks): The cumulative frequency graph shows information about the masses of 200 apples. 17 (a) Estimate the median mass. Answer grams 17 (b) Apples with mass 90 grams
- November 2019, Paper 2H, Q13 (7 marks): 200 people recorded the time they spent on social media one day. The table shows the results. Time, t (mins) Frequency Midpoint 0 ⩽ t < 30 24 30 ⩽ t < 50 76 50
- June 2019, Paper 1H, Q15 (5 marks): Here is some information about the test marks of 120 students. Mark, m 0 < m ⩽ 10 10 < m ⩽ 20 20 < m ⩽ 30 30 < m ⩽ 40 40 < m ⩽ 50 Frequency 20 28 40 20 12 15 (a
- June 2019, Paper 2H, Q25 (4 marks): A sample of 50 eggs is taken from Farm A. The table shows information about the masses of the eggs from Farm A. Farm A A sample of 50 eggs is taken from Farm B.
- November 2018, Paper 2H, Q16 (3 marks): The cumulative frequency graph shows information about the masses of 50 apples. 16 (a) Use the graph to estimate the median mass of the apples. Answer grams 16
- November 2018, Paper 3H, Q18 (3 marks): Here is some information about the ages of people at a concert. Age, x (years) Frequency 10 ⩽ x < 15 8 15 ⩽ x < 25 24 25 ⩽ x < 40 30 40 ⩽ x < 70 39 Draw a histo
- June 2018, Paper 1H, Q19 (5 marks): Type A batteries and type B batteries were tested. The cumulative frequency diagram shows information about the battery life of type A. 19 (a) Estimate the inte
- June 2018, Paper 3H, Q26 (6 marks): The histogram shows information about the speed of cars as they pass a checkpoint. The scale on the frequency density axis is missing. The histogram shows infor
- November 2017, Paper 1H, Q22 (5 marks): Here is some information about the miles per gallon of 60 cars. Miles per gallon, x Frequency 40 < x ⩽ 50 6 50 < x ⩽ 60 16 60 < x ⩽ 70 28 70 < x ⩽ 80 10 22 (a)
- November 2017, Paper 2H, Q23 (5 marks): Here is some information about a tennis club. Members of a tennis club There are 30 members with A < 20 There are 12 members with 65 ⩽ A < 80 There are no membe
- June 2017, Paper 1H, Q19 (5 marks): Here is some information about the marks of 60 students in a test. Mark, m Frequency 40 < m ⩽ 50 9 50 < m ⩽ 60 16 60 < m ⩽ 70 20 70 < m ⩽ 80 8 80 < m ⩽ 90 7 19
- June 2017, Paper 2H, Q24 (4 marks): 48 students completed some homework. This histogram shows information about the times taken. Work out an estimate of the interquartile range. You must show your
- Specimen, Paper 2H, Q22 (4 marks): The histogram shows the ages, in years, of members of a chess club. 0 5 10 15 20 25 30 35 40 45 50 55 60 65 Age (years) Frequency density There are 22 members w
- Specimen, Paper 3H, Q13 (2 marks): Here are the examination marks for 60 pupils. Mark, m (%) Frequency 0 ⩽ m < 20 8 20 ⩽ m < 40 9 40 ⩽ m < 60 21 60 ⩽ m < 80 10 80 ⩽ m < 100 12 Molly drew this cum
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