1. Fractions of Quantities – Foundation – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

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3. AQA Foundation: June 2017 Paper 3, Q25
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
[3 marks]
Answer
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
[2 marks]
Answer
Answer

5. 5 8 are yellow. 5 8 are yellow. 5 8 are yellow. 5 8 are yellow.
AQA Foundation: November 2017 Paper 1, Q11
AQA Foundation: November 2017 Paper 1, Q11
1 (a)
Cards in a pack are green or yellow in the ratio
green : yellow = 3 : 5
What fraction of the cards are green?
Circle your answer.
1 (a)
Cards in a pack are green or yellow in the ratio
green : yellow = 3 : 5
What fraction of the cards are green?
Circle your answer.
[1 mark]
[1 mark]
5 8
3 5
3 8
2 5
5 8
3 5
3 8
2 5
1 (b)
A different pack has 56 cards.
5 8 are yellow.
Work out the number of yellow cards.
1 (b)
A different pack has 56 cards.
5 8 are yellow.
Work out the number of yellow cards.
[2 marks]
[2 marks]
Answer
Answer
AQA Foundation: November 2017 Paper 1, Q11
AQA Foundation: November 2017 Paper 1, Q11
1 (a)
Cards in a pack are green or yellow in the ratio
green : yellow = 3 : 5
What fraction of the cards are green?
Circle your answer.
1 (a)
Cards in a pack are green or yellow in the ratio
green : yellow = 3 : 5
What fraction of the cards are green?
Circle your answer.
[1 mark]
[1 mark]
5 8
3 5
3 8
2 5
5 8
3 5
3 8
2 5
1 (b)
A different pack has 56 cards.
5 8 are yellow.
Work out the number of yellow cards.
1 (b)
A different pack has 56 cards.
5 8 are yellow.
Work out the number of yellow cards.
[2 marks]
[2 marks]
Answer
Answer

7. AQA Foundation: November 2017 Paper 2, Q26
A ball is thrown from a height of 15 metres.
It bounces to height ℎ1, then to height ℎ2, as shown. 1
A ball is thrown from a height of 15 metres.
It bounces to height ℎ1, then to height ℎ2, as shown.
Not drawn
accurately
Not drawn
accurately
15 m
15 m ℎ1 ℎ2 ℎ1 ℎ2
ℎ1 is three quarters of the original height.
Tom expects ℎ2 to be three quarters of ℎ1
Work out the value of ℎ2 that he expects.
ℎ1 is three quarters of the original height.
Tom expects ℎ2 to be three quarters of ℎ1
Work out the value of ℎ2 that he expects.
1 (a)
1 (a)
[2 marks]
[2 marks]
Answer
metres
Answer
metres
1 (b)
In fact ℎ2 is two thirds of ℎ1.
How does this affect the answer to part (a)?
Show working to support your answer.
1 (b)
In fact ℎ2 is two thirds of ℎ1.
How does this affect the answer to part (a)?
Show working to support your answer.
[2 marks]
[2 marks]

9. 5 12 in each carriage are being used. 5 7 are being used.
AQA Foundation: November 2017 Paper 3, Q16
AQA Foundation: November 2017 Paper 3, Q16 1
A train has 1 first-class carriage and 7 standard carriages.
The first-class carriage has 56 seats.
5 7 are being used.
Each standard carriage has 84 seats.
in each carriage are being used.
Are more than half the seats on the train being used?
You must show your working. 1
A train has 1 first-class carriage and 7 standard carriages.
The first-class carriage has 56 seats.
5 7 are being used.
Each standard carriage has 84 seats.
in each carriage are being used.
Are more than half the seats on the train being used?
You must show your working.
[5 marks]
[5 marks]
Answer
Answer

11. AQA Foundation: June 2017 Paper 3, Q25
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
[3 marks]
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Answer

13. AQA Foundation: November 2017 Paper 2, Q26
A ball is thrown from a height of 15 metres.
It bounces to height ℎ1, then to height ℎ2, as shown.
Not drawn
accurately
15 m ℎ1 ℎ2
ℎ1 is three quarters of the original height.
Tom expects ℎ2 to be three quarters of ℎ1
Work out the value of ℎ2 that he expects.
1 (a)
[2 marks]
Answer
metres
1 (b)
In fact ℎ2 is two thirds of ℎ1.
How does this affect the answer to part (a)?
Show working to support your answer.
[2 marks]

14. 5 12 in each carriage are being used.
AQA Foundation: November 2017 Paper 3, Q16 1
A train has 1 first-class carriage and 7 standard carriages.
The first-class carriage has 56 seats.
5 7 are being used.
Each standard carriage has 84 seats.
in each carriage are being used.
Are more than half the seats on the train being used?
You must show your working.
[5 marks]
Answer

15. Boys: 660 × 2 5 = 264 Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624
AQA Foundation: June 2017 Paper 3, Q25 1
There are 660 boys and 840 girls in a school.
The probability that a boy chosen at random studies Drama is 2 5
The probability that a girl chosen at random studies Drama is 3 7
1 (a)
Work out the number of students in the school who study Drama.
Boys: 660 × = 264
[3 marks]
Girls: 840 × = 360
Total = = 624
624
Answer
1 (b)
Work out the probability that a student chosen at random
from the whole school does not study Drama.
[2 marks]
Total students = = 1500
NOT drama = 1500 – 624 = 876
73 125 OR
Answer

17. AQA Foundation: November 2017 Paper 2, Q26
A ball is thrown from a height of 15 metres.
It bounces to height ℎ1, then to height ℎ2, as shown.
Not drawn
accurately
15 m ℎ1 ℎ2
ℎ1 is three quarters of the original height.
Tom expects ℎ2 to be three quarters of ℎ1
Work out the value of ℎ2 that he expects.
1 (a)
[2 marks]
3 4 = 0.75
15 × 0.75 × 0.75 =
8.4375
Answer
metres
1 (b)
In fact ℎ2 is two thirds of ℎ1.
How does this affect the answer to part (a)?
Show working to support your answer.
[2 marks]
15 × × = 7.5 metres
Decreases the answer

18. Standard class total = 35 × 7 = 245
AQA Foundation: November 2017 Paper 3, Q16 1
A train has 1 first-class carriage and 7 standard carriages.
The first-class carriage has 56 seats.
5 7 are being used.
Each standard carriage has 84 seats.
in each carriage are being used.
Are more than half the seats on the train being used?
You must show your working.
[5 marks]
1st carriage: 56 × = 40
Standard carriage : 84 × = 35
Standard class total = 35 × 7 = 245
Total passengers = = 285
Total seats = 56 + (7 × 84) = 644
% of seats used = × 100=44% No
Answer

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