Skip to content

Paper Together: sit a paper in a room with your friends.See how it works

Frequency trees practice questions with answers

Foundation and Higher · Grade 3

A second set of frequency trees questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

24 people said yes. 10 of them were under 15. How many of the yes group were 15 or over?

Show answer

Answer: 14

  1. The yes group splits into under 15 and 15 or over, so the two branches add to 24.
  2. 24 − 10 = 14.
  • Method (1): The yes group splits into under 15 and 15 or over, so the two branches add to 24.
  • Accuracy (1): Answer 14

Question 2 Easy

29 people were asked. 21 said yes. How many said no?

Show answer

Answer: 8

  1. The yes and no branches add to 29.
  2. 29 − 21 = 8.
  • Method (1): The yes and no branches add to 29.
  • Accuracy (1): Answer 8

Question 3 Medium

20 people said yes. 4 of them were under 15. How many of the yes group were 15 or over?

Show answer

Answer: 16

  1. The yes group splits into under 15 and 15 or over, so the two branches add to 20.
  2. 20 − 4 = 16.
  • Method (1): The yes group splits into under 15 and 15 or over, so the two branches add to 20.
  • Accuracy (1): Answer 16

Question 4 Medium

34 people were asked. 24 said yes. How many said no?

Show answer

Answer: 10

  1. The yes and no branches add to 34.
  2. 34 − 24 = 10.
  • Method (1): The yes and no branches add to 34.
  • Accuracy (1): Answer 10

Question 5 Hard

12 people said yes. 7 of them were under 15. How many of the yes group were 15 or over?

Show answer

Answer: 5

  1. The yes group splits into under 15 and 15 or over, so the two branches add to 12.
  2. 12 − 7 = 5.
  • Method (1): The yes group splits into under 15 and 15 or over, so the two branches add to 12.
  • Accuracy (1): Answer 5

Question 6 Hard

22 people were asked. 10 said yes. How many said no?

Show answer

Answer: 12

  1. The yes and no branches add to 22.
  2. 22 − 10 = 12.
  • Method (1): The yes and no branches add to 22.
  • Accuracy (1): Answer 12

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

33 people were asked. 20 said yes. How many said no?

Show answer

Answer: 13

  1. The yes and no branches add to 33.
  2. 33 − 20 = 13.
  3. 13 people said no.
  • Method (1): The yes and no branches add to 33.
  • Accuracy (1): Answer 13

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

38 people were asked. 23 said yes. How many said no?

  1. 15
  2. 61
  3. 23
Show answer

15 The result is 15.

Check 2

13 people said yes. 4 of them were under 15. How many of the yes group were 15 or over?

  1. 9
  2. 17
  3. 4
Show answer

9 The result is 9.

Check 3

32 people were asked. 16 said yes. How many said no?

  1. 16
  2. 18
  3. 26
Show answer

16 The result is 16.

Check 4

20 people said yes. 10 of them were under 15. How many of the yes group were 15 or over?

  1. 10
  2. 12
  3. 20
Show answer

10 The result is 10.

Check 5

26 people were asked. 9 said yes. How many said no?

  1. 17
  2. 35
  3. 9
Show answer

17 The result is 17.

Check 6

18 people said yes. 7 of them were under 15. How many of the yes group were 15 or over?

  1. 11
  2. 25
  3. 7
Show answer

11 The result is 11.

Check 7

24 people were asked. 19 said yes. How many said no?

  1. 5
  2. 43
  3. 19
Show answer

5 The result is 5.

Check 8

16 people said yes. 4 of them were under 15. How many of the yes group were 15 or over?

  1. 12
  2. 20
  3. 4
Show answer

12 The result is 12.

Check 9

18 people were asked. 12 said yes. How many said no?

  1. 6
  2. 30
  3. 12
Show answer

6 The result is 6.

Check 10

23 people said yes. 10 of them were under 15. How many of the yes group were 15 or over?

  1. 13
  2. 33
  3. 10
Show answer

13 The result is 13.

Check 11

29 people were asked. 22 said yes. How many said no?

  1. 7
  2. 51
  3. 22
Show answer

7 The result is 7.

Check 12

21 people said yes. 7 of them were under 15. How many of the yes group were 15 or over?

  1. 14
  2. 28
  3. 7
Show answer

14 The result is 14.

Check 13

23 people were asked. 15 said yes. How many said no?

  1. 8
  2. 38
  3. 15
Show answer

8 The result is 8.

Check 14

19 people said yes. 4 of them were under 15. How many of the yes group were 15 or over?

  1. 15
  2. 23
  3. 4
Show answer

15 The result is 15.

Check 15

17 people were asked. 8 said yes. How many said no?

  1. 9
  2. 25
  3. 8
Show answer

9 The result is 9.

Keep going with Frequency trees

Practise free

Start free

AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.

Next topicPractise free