1. Fractions of Quantities – Higher – 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.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
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To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. AQA Higher: June 2017 Paper 3, Q9 AQA Higher: June 2017 Paper 3, Q9
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. 1 3 less than March 1 3 less than March
AQA Higher: May 2018 Paper 1, Q23
AQA Higher: May 2018 Paper 1, Q23 1
A shopkeeper compares the income from sales of
a laptop in March and April. 1
A shopkeeper compares the income from sales of
a laptop in March and April.
April
April
Price
2 5 more than March
Number sold
1 3 less than March
Price
2 5 more than March
Number sold
1 3 less than March
By what fraction does the income from these sales decrease in April?
By what fraction does the income from these sales decrease in April?
[3 marks]
[3 marks]
Answer
Answer

7. AQA Higher: November 2017 Paper 2, Q14
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. AQA Higher: June 2017 Paper 3, Q9
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

10. 1 3 less than March AQA Higher: May 2018 Paper 1, Q23 1
A shopkeeper compares the income from sales of
a laptop in March and April.
April
Price
2 5 more than March
Number sold
1 3 less than March
By what fraction does the income from these sales decrease in April?
[3 marks]
Answer

11. AQA Higher: November 2017 Paper 2, Q14
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]

12. Boys: 660 × 2 5 = 264 Girls: 840 × 3 7 = 360 Total = 240 + 360 = 624
AQA Higher: June 2017 Paper 3, Q9 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
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

13. Price in April = 1 + 2 5 = 7 5 No. sold in April = 1 − 1 3 = 2 3
AQA Higher: May 2018 Paper 1, Q23 1
A shopkeeper compares the income from sales of
a laptop in March and April.
April
Price
2 5 more than March
Number sold
1 3 less than March
By what fraction does the income from these sales decrease in April?
Price in April = = 7 5
[3 marks]
No. sold in April = 1 − 1 3 = 2 3
Income = price × no. sold
= × 2 3 = 14 15
Fraction decrease = 1− = 1 15
1 15
Answer

14. AQA Higher: November 2017 Paper 2, Q14
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

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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