Sets
4 marks · NormalIn a survey, 35 students were asked if they play football (F) or tennis (T).
| Category | Number of students |
|---|---|
| Play only football | 15 |
| Play only tennis | 12 |
| Play both sports | 5 |
| Play neither | 3 |
How many students play football?
How many students play tennis?
How many play exactly one sport?
Verify that the total number of students is 35.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 20
(b) 17
(c) 27
(d) 35
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Adds 'play only football' and 'play both sports': 15 + 5 = 20.
M1 (b) · 1 mark · Adds 'play only tennis' and 'play both sports': 12 + 5 = 17.
B1 (c) · 1 mark · Sums only 'play only football' and 'play only tennis': 15 + 12 = 27.
A1 (d) · 1 mark · Adds all categories to confirm total is 35.
Worked solution
(a) Football: 15 (only football) + 5 (both) = 20.
(b) Tennis: 12 (only tennis) + 5 (both) = 17.
(c) Only one sport: 15 + 12 = 27.
(d) Total: 15 + 12 + 5 + 3 = 35.