1. Linear Equations – Mixed – Higher – GCSE Questions
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 a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
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. GCSE GCSE GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q7
Solve − 𝑥 7 = 2x − 4
Solve − 𝑥 7 = 2x − 4 1 1
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
Edexcel Higher: June 2018 Paper 3, Q7
GCSE
Edexcel Higher: June 2018 Paper 3, Q7
Solve − 𝑥 7 = 2x − 4
Solve − 𝑥 7 = 2x − 4 1 1
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE Edexcel Higher: November 2017 Paper 1, Q6
Here is a rectangle. 1
Here is a rectangle.
3x + 5
3x + 5 y y
6x - 7
6x - 7
All measurements are in centimetres.
The area of the rectangle is 51cm2.
Show that y = 3
All measurements are in centimetres.
The area of the rectangle is 51cm2.
Show that y = 3
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

7. GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q1
Solve 6x – 13 = 4(x – 2) 1
Solve 6x – 13 = 4(x – 2)
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
Solve 4x – 4.5 = 3(x – 1) 2
Solve 4x – 4.5 = 3(x – 1)
x =
x =
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 2, Q1
Edexcel Higher: November 2017 Paper 2, Q1 1
Solve 6x – 13 = 4(x – 2) 1
Solve 6x – 13 = 4(x – 2)
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
Solve 4x – 4.5 = 3(x – 1) 2
Solve 4x – 4.5 = 3(x – 1)
x =
x =
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)

9. GCSE GCSE GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q11
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6 1 1
𝑥 =
𝑥 =
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)
GCSE
GCSE
Edexcel Higher: June 2017 Paper 2, Q11
Edexcel Higher: June 2017 Paper 2, Q11
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6 1 1
𝑥 =
𝑥 =
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

11. GCSE Edexcel Higher: June 2018 Paper 3, Q7 Solve 8 − 𝑥 7 = 2x − 4 1
(Total for Question 1 is 3 marks)

12. GCSE Edexcel Higher: November 2017 Paper 1, Q6
Here is a rectangle.
3x + 5 y
6x - 7
All measurements are in centimetres.
The area of the rectangle is 51cm2.
Show that y = 3
(Total for Question 1 is 4 marks)

14. GCSE Edexcel Higher: June 2017 Paper 2, Q11
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6 1
𝑥 =
(Total for Question 1 is 4 marks)

15. × 7 expand + x + 28 ÷ 15 GCSE 8 −𝑥 = 7(2x − 4) 8 −𝑥 = 14x − 28
Edexcel Higher: June 2018 Paper 3, Q7
Solve − 𝑥 7 = 2x − 4 1
× 7
8 −𝑥 = 7(2x − 4)
expand
8 −𝑥 = 14x − 28
+ x
8 = 15x − 28
+ 28
36 = 15x
÷ 15
2.4
2.4 = x
x =
(Total for Question 1 is 3 marks)

16. 6x – 7 = 3x + 5 (-3x) (-3x) 3x – 7 = 5 (+7) (+7) 3x = 12 (÷3) (÷3)
GCSE
Edexcel Higher: November 2017 Paper 1, Q6 1
Here is a rectangle.
3x + 5 y
6x - 7
All measurements are in centimetres.
The area of the rectangle is 51cm2.
Show that y = 3
6x – 7 = 3x + 5
(-3x) (-3x)
3x – 7 = 5
(+7) (+7)
3x = 12
(÷3) (÷3)
x = 4
3x + 5 = (3×4) + 5
= 17
17 × y = 51
y = = 3
(Total for Question 1 is 4 marks)

17. GCSE
Edexcel Higher: November 2017 Paper 2, Q1 1
Solve 6x – 13 = 4(x – 2)
6x – 13 = 4x – 8
2x – 13 = – 8
2x = 5
x = 2.5
2.5
x =
(Total for Question 1 is 3 marks) 2
Solve 4x – 4.5 = 3(x – 1)
4x – 4.5 = 3x – 3
x – 4.5 = – 3
x = 1.5
1.5
x =
(Total for Question 2 is 3 marks)

18. GCSE
Edexcel Higher: June 2017 Paper 2, Q11
Solve 3𝑥 − 2 4 − 2𝑥 = 1 − 𝑥 6 1
3(3𝑥 − 2) 12 − 4(2𝑥 + 5) 12 = 2(1 − 𝑥) 12
3 3𝑥 − 2 −4 2𝑥 + 5 =2(1 − 𝑥)
9𝑥−6 −8𝑥 −20=2 −2𝑥
𝑥−26=2 −2𝑥
3𝑥−26=2
3𝑥=28
9 1 3
𝑥= 28 3
𝑥 =
(Total for Question 1 is 4 marks)

19. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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