Question 1
300 men and women tried to solve a puzzle.
Overall 140 people did not solve the puzzle.
This information can be seen in the incomplete frequency tree diagram below.
How many women solved the puzzle?
Select the correct answer from the list below:
A: 160
B: 140
C: 120
D: 100
CORRECT ANSWER:
WORKED SOLUTION:
Out of the 300 men and women that tried to solve a puzzle, 100 were men thereby 200 were women.
Of these 200 women, 80 did not solve the puzzle therefore,
200-80=120
So 120 women completed the puzzle.
Level 4
Question 2
300 men and women tried to solve a puzzle.
Overall 140 people did not solve the puzzle.
This information can be seen in the incomplete frequency tree diagram below.
How many Men solved the puzzle?
Select the correct answer from the list below:
A: 20
B: 30
C: 40
D: 50
CORRECT ANSWER: C: 40
WORKED SOLUTION:
Given that 80 women did not complete the puzzle, and the question states that a total 140 people did not solve the puzzle then,
140-80=60
Therefore 60 men did not solve the puzzle so out of the 100 men that took part,
100-60=40
So 40 men completed the puzzle.
Level 4
Question 3
30 people attended a meeting.
The method by which they arrived and whether they are late or not is summarised in the frequency tree below.
In total 10 people were late for the meeting.
What fraction of people who cycled to the meeting were on time?
Select the correct answer from the list below:
A: 9
B: 12
C: 10
D: 8
CORRECT ANSWER: A: 9
WORKED SOLUTION:
Out of the 30 attendees, 12 cycled to the meeting.
Of these 12 women, 3 must have been late as the question states that 10 people were late and 7 of those walked.
So 12- 3=9 people who cycled were on time.
Level 4
Question 4
30 people attended a meeting.
The method by which they arrived and whether they are late or not is summarised in the frequency tree below.
In total 12 people were late for the meeting.
How many people who walked to the meeting were on time?
Select the correct answer from the list below:
A: 9
B: 10
C: 12
D: 8
CORRECT ANSWER: A: 9
WORKED SOLUTION:
Out of the 18 attendees who walked in, 7 were late to the meeting.
So that means 18- 7=9 people who walked were on time.
Level 4
Question 5
250 pupils took part in an end of year test.
Over all 172 people passed the exam.
This information can be seen in the incomplete frequency tree diagram below.
How many girls failed the exam?
Select the correct answer from the list below:
A: 58
B: 78
C: 38
D: 28
CORRECT ANSWER: D: 28
WORKED SOLUTION:
Out of the 250 pupils that sat the exam, 250-172=78 students failed.
Of these 72 students, 50 were boys, so there were, 78-50=28, girls that failed the exam.
Level 4
Question 6
250 pupils took part in an end of year test.
Over all 75 people failed the test.
This information can be seen in the incomplete frequency tree diagram below.
How many girls passed the exam?
Select the correct answer from the list below:
A: 100
B: 75
C: 55
D: 25
CORRECT ANSWER: B: 75
WORKED SOLUTION:
Out of the 250 pupils that sat the exam, 250-75=175 students passed.
Of these 175 students, 75 were boys, so there were, 175-75=100 girls that passed the exam.
Level 4