1. Linear Equations – Forming & Solving – 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 -
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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: May 2018 Paper 1, Q11 AQA Higher: May 2018 Paper 1, Q11 1
A large rectangle is made by joining
three identical small rectangles as shown. 1
A large rectangle is made by joining
three identical small rectangles as shown.
Not drawn
accurately
Not drawn
accurately
The perimeter of one small rectangle is 35 cm
Work out the perimeter of the large rectangle.
The perimeter of one small rectangle is 35 cm
Work out the perimeter of the large rectangle.
[4 marks]
[4 marks]
Answer cm
Answer cm

5. 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦
AQA Higher: November 2017 Paper 1, Q4
AQA Higher: November 2017 Paper 1, Q4 1
𝑥= 5 𝑦
If the value of 𝑦 triples, what happens to the value of 𝑥?
Circle your answer. 1
𝑥= 5 𝑦
If the value of 𝑦 triples, what happens to the value of 𝑥?
Circle your answer.
[1 mark]
[1 mark]
÷ 3
× 3
÷ 5
× 5
÷ 3
× 3
÷ 5
× 5 2
𝑥= 5 𝑦
If the value of 𝑦 halves, what happens to the value of 𝑥?
Circle your answer. 2
𝑥= 5 𝑦
If the value of 𝑦 halves, what happens to the value of 𝑥?
Circle your answer.
[1 mark]
[1 mark]
÷ 10
× 10
÷ 2
× 2
÷ 10
× 10
÷ 2
× 2
AQA Higher: November 2017 Paper 1, Q4
AQA Higher: November 2017 Paper 1, Q4 1
𝑥= 5 𝑦
If the value of 𝑦 triples, what happens to the value of 𝑥?
Circle your answer. 1
𝑥= 5 𝑦
If the value of 𝑦 triples, what happens to the value of 𝑥?
Circle your answer.
[1 mark]
[1 mark]
÷ 3
× 3
÷ 5
× 5
÷ 3
× 3
÷ 5
× 5 2
𝑥= 5 𝑦
If the value of 𝑦 halves, what happens to the value of 𝑥?
Circle your answer. 2
𝑥= 5 𝑦
If the value of 𝑦 halves, what happens to the value of 𝑥?
Circle your answer.
[1 mark]
[1 mark]
÷ 10
× 10
÷ 2
× 2
÷ 10
× 10
÷ 2
× 2

7. 2 3 of the males have blonde hair.
AQA Higher: May 2017 Paper 1, Q25
AQA Higher: May 2017 Paper 1, Q25 1
In a University class there are twice as many males as females.
2 3 of the males have blonde hair.
5 9 of the females have blonde hair.
80 people in the class have blonde hair.
Work out the number of people in the office. 1
In a University class there are twice as many males as females.
2 3 of the males have blonde hair.
5 9 of the females have blonde hair.
80 people in the class have blonde hair.
Work out the number of people in the office.
[4 marks]
[4 marks]
Answer
Answer

9. AQA Higher: May 2018 Paper 1, Q11 1
A large rectangle is made by joining
three identical small rectangles as shown.
Not drawn
accurately
The perimeter of one small rectangle is 35 cm
Work out the perimeter of the large rectangle.
[4 marks]
Answer cm

11. 2 3 of the males have blonde hair.
AQA Higher: May 2017 Paper 1, Q25 1
In a University class there are twice as many males as females.
2 3 of the males have blonde hair.
5 9 of the females have blonde hair.
80 people in the class have blonde hair.
Work out the number of people in the office.
[4 marks]
Answer

12. 3.5 14 cm 14 cm 14 cm 3.5 14 cm 4𝑥 Perimeter 𝑥 = 4𝑥+4𝑥+𝑥+𝑥 = 10𝑥
AQA Higher: May 2018 Paper 1, Q11 1
A large rectangle is made by joining
three identical small rectangles as shown.
3.5
14 cm
Not drawn
accurately
14 cm
14 cm
3.5
14 cm
The perimeter of one small rectangle is 35 cm
Work out the perimeter of the large rectangle.
[4 marks] 4𝑥
Perimeter
= 4𝑥+4𝑥+𝑥+𝑥
= 10𝑥 𝑥
10𝑥 = 35 cm
𝑥 = 3.5 cm
14 cm
3.5
(4 × 14) + (2 × 3.5) 63
Answer cm

14. Males = 𝑥 2 3 × 𝑥 + 5 9 × 2𝑥 =80 6𝑥 9 + 10𝑥 9 =80 16𝑥 9 =80 16𝑥=720
AQA Higher: May 2017 Paper 1, Q25 1
In a University class there are twice as many males as females.
2 3 of the males have blonde hair.
5 9 of the females have blonde hair.
80 people in the class have blonde hair.
Work out the number of people in the office.
[4 marks]
Males = 𝑥
2 3 × 𝑥 × 2𝑥 =80
6𝑥 𝑥 9 =80
16𝑥 9 =80
16𝑥=720
Total Females
45×2=90
𝑥=45
45+90=135
Answer

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