Pearson Edexcel GCSE Maths · Topic S
Sampling, charts, averages, spread, cumulative frequency and histograms. Use the references below to find real questions on Pearson's site. Then practise with the original printable pack.
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Total recorded: 0 of 90 marks
26 original questions written in the style of the real papers. Attempt one on paper, then reveal the mark scheme and award yourself the marks. Marks you award are saved in this browser against that question.
1
A biologist is estimating the number of fish in a lake. She catches, tags and releases 40 fish. A week later she catches 50 fish and finds that 8 of them are tagged.
(a)
(2)
(b)
(1)
(Total for Question 1 is 3 marks)
2
The frequency table shows the favourite subject of 90 students. Maths 20, English 25, Science 30, Other 15. A pie chart is to be drawn to show this information.
(a)
(2)
(b)
(1)
(Total for Question 2 is 3 marks)
3
A rugby coach records the number of points his team scored in each of 11 matches: 12, 15, 15, 18, 20, 21, 22, 24, 25, 26, 78.
(a)
(1)
(b)
(1)
(Total for Question 3 is 2 marks)
4
The revision time (in hours) and test mark of 8 students were recorded and plotted on a scatter graph. The points show a clear upward trend. A line of best fit is drawn; it passes through the points (2, 30) and (8, 66).
(a)
(1)
(b)
(2)
(c)
(1)
(Total for Question 4 is 4 marks)
5
Two classes sat the same test, marked out of 100. For Class A the median mark was 62 and the range was 24. For Class B the median mark was 55 and the range was 10.
(a)
(2)
(b)
(1)
(Total for Question 5 is 3 marks)
6
The table shows how 72 people travel to work: Car 30, Bus 18, Walk 15, Cycle 9.
(a)
(2)
(b)
(1)
(Total for Question 6 is 3 marks)
7
A pictogram is used to show the number of emails a company receives each day. A full circle represents 10 emails, and part-circles are used for smaller amounts. On Monday the pictogram shows 3.5 circles. On Tuesday it shows 2 circles.
(a)
(1)
(b)
(1)
(c)
(2)
(Total for Question 7 is 4 marks)
8
Here are five numbers: 5, 8, 3, 8, 6
(a)
(2)
(b)
(1)
(c)
(1)
(Total for Question 8 is 4 marks)
9
A council wants to find out how often adults in a town exercise. A researcher asks 40 people as they leave a gym.
(2)
(Total for Question 9 is 2 marks)
10
A factory makes 1250 components in one day. A quality inspector chooses a random starting component from the first 25 and then inspects every 25th component.
(a)
(2)
(b)
(1)
(Total for Question 10 is 3 marks)
11
A scientist is estimating the number of ladybirds in a greenhouse. She catches, marks and releases 48 ladybirds. Later she catches 60 ladybirds, of which 12 are marked.
(a)
(2)
(b)
(2)
(c)
(1)
(Total for Question 11 is 5 marks)
12
The travel methods used by 10 students are: bus, walk, cycle, bus, bus, walk, cycle, bus, walk, bus.
(a)
(2)
(b)
(1)
(Total for Question 12 is 3 marks)
13
The numbers of visitors to a museum in six consecutive months were: January 120, February 135, March 150, April 145, May 170, June 185.
(a)
(2)
(b)
(2)
(Total for Question 13 is 4 marks)
14
The frequency distribution for the number of books read by 25 students in one month is: 0 books, frequency 4; 1 book, frequency 7; 2 books, frequency 9; 3 books, frequency 5.
(a)
(1)
(b)
(2)
(Total for Question 14 is 3 marks)
15
The times, t minutes, taken by 38 people to complete a puzzle are grouped as follows: 0 < t ≤ 10, frequency 8; 10 < t ≤ 15, frequency 12; 15 < t ≤ 30, frequency 18.
(a)
(3)
(b)
(1)
(Total for Question 15 is 4 marks)
16
A histogram represents the masses, m kg, of 40 parcels. For 0 < m ≤ 5 the frequency density is 2.4. For 5 < m ≤ 15 the frequency density is 1.1. The remaining parcels are in the class 15 < m ≤ 20.
(a)
(2)
(b)
(2)
(Total for Question 16 is 4 marks)
17
A cumulative frequency graph represents 80 values. Reading from the graph gives: cumulative frequency 20 at value 18; cumulative frequency 40 at value 27; cumulative frequency 60 at value 39; cumulative frequency 80 at value 52.
(a)
(1)
(b)
(2)
(c)
(1)
(Total for Question 17 is 4 marks)
18
The scores in a quiz have this frequency distribution: score 1, frequency 2; score 2, frequency 3; score 3, frequency 4; score 4, frequency 1.
(a)
(2)
(b)
(1)
(c)
(1)
(Total for Question 18 is 4 marks)
19
Two groups complete the same task. For Group A the median time is 18 minutes and the interquartile range is 6 minutes. For Group B the median time is 21 minutes and the interquartile range is 11 minutes.
(2)
(Total for Question 19 is 2 marks)
20
Six numbers have a mean of 14. Five of the numbers are 9, 11, 13, 17 and 18.
(a)
(3)
(b)
(2)
(Total for Question 20 is 5 marks)
21
In a random sample of 50 households, 12 households do not own a car. The town has 2000 households.
(2)
(Total for Question 21 is 2 marks)
22
The amounts, in pounds, spent by 10 customers are 22, 24, 25, 26, 27, 28, 29, 30, 31 and 180.
(a)
(1)
(b)
(2)
(c)
(1)
(Total for Question 22 is 4 marks)
23
A random sample of 300 adults is taken from across a town. Of these adults, 180 say they prefer travelling by bus rather than by car. There are 4500 adults in the town.
(a)
(2)
(b)
(2)
(Total for Question 23 is 4 marks)
24
For a group of homes, the data show that as the outdoor temperature increases, the amount spent on heating generally decreases.
(a)
(1)
(b)
(1)
(Total for Question 24 is 2 marks)
25
A scatter graph compares hours of practice, x, with a performance score, y. A line of best fit passes through (4, 18) and (10, 42). The observed practice times range from 2 to 11 hours.
(a)
(2)
(b)
(2)
(Total for Question 25 is 4 marks)
26
A scatter graph contains the points (1, 12), (2, 16), (3, 19), (4, 25), (5, 27), (6, 32) and (7, 70). A line of best fit for the first six points passes through (1, 12) and (6, 32).
(a)
(1)
(b)
(2)
(c)
(1)
(d)
(1)
(Total for Question 26 is 5 marks)
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