1. Linear Rational Equations – Foundation – 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 -
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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 Foundation: November 2017 Paper 1, Q3
Solve 𝑥 3 = 11.5
Solve 𝑥 3 = 11.5 1 1
𝑥 =
𝑥 =
(Total for Question 1 is 1 mark)
(Total for Question 1 is 1 mark)
Solve 𝑡 5 = 9.5
Solve 𝑡 5 = 9.5 2 2
𝑥 =
𝑥 =
(Total for Question 2 is 1 mark)
(Total for Question 2 is 1 mark)
Solve 2𝑥 5 = 12
Solve 2𝑥 5 = 12 3 3
𝑥 =
𝑥 =
(Total for Question 3 is 1 mark)
(Total for Question 3 is 1 mark)
GCSE
Edexcel Foundation: November 2017 Paper 1, Q3
GCSE
Edexcel Foundation: November 2017 Paper 1, Q3
Solve 𝑥 3 = 11.5
Solve 𝑥 3 = 11.5 1 1
𝑥 =
𝑥 =
(Total for Question 1 is 1 mark)
(Total for Question 1 is 1 mark)
Solve 𝑡 5 = 9.5
Solve 𝑡 5 = 9.5 2 2
𝑥 =
𝑥 =
(Total for Question 2 is 1 mark)
(Total for Question 2 is 1 mark)
Solve 2𝑥 5 = 12
Solve 2𝑥 5 = 12 3 3
𝑥 =
𝑥 =
(Total for Question 3 is 1 mark)
(Total for Question 3 is 1 mark)

5. GCSE GCSE GCSE GCSE Edexcel Foundation: May 2017 Paper 1, Q3
(a) Simplify 6 × d × g × 5 1
(a) Simplify 6 × d × g × 5
(1)
(1)
(b) Solve 𝑥 3 =3 1 2
(b) Solve 𝑥 3 =3 1 2
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7 2
(a) Simplify 4 × z × y × 7
(1)
(1)
(b) Solve 𝑥 4 =2 3 4
(b) Solve 𝑥 4 =2 3 4
(1)
(1)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)
GCSE
Edexcel Foundation: May 2017 Paper 1, Q3
GCSE
Edexcel Foundation: May 2017 Paper 1, Q3 1
(a) Simplify 6 × d × g × 5 1
(a) Simplify 6 × d × g × 5
(1)
(1)
(b) Solve 𝑥 3 =3 1 2
(b) Solve 𝑥 3 =3 1 2
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7 2
(a) Simplify 4 × z × y × 7
(1)
(1)
(b) Solve 𝑥 4 =2 3 4
(b) Solve 𝑥 4 =2 3 4
(1)
(1)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)

7. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q25
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
GCSE
Edexcel Foundation: June 2018 Paper 3, Q25
Edexcel Foundation: June 2018 Paper 3, Q25
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)

11. GCSE Edexcel Foundation: June 2018 Paper 3, Q25 Solve 8 −𝑥 7 = 2x − 4
(Total for Question 1 is 3 marks)

12. GCSE
Edexcel Foundation: November 2017 Paper 1, Q3
Solve 𝑥 3 = 11.5
x = 11.5 x 3 = 34.5 1 x3 x3
34.5
𝑥 =
(Total for Question 1 is 1 mark)
Solve 𝑡 5 = 9.5
t = 9.5 x 5 = 47.5 2 x5 x5
47.5
𝑥 =
(Total for Question 2 is 1 mark)
2x = 60
Solve 2𝑥 5 = 12 3 ÷2 ÷2 x5 x5 30
x = 30
𝑥 =
(Total for Question 3 is 1 mark)

13. 30dg 6 x 5 x d x g 10.5 28yz 4 x 7 x y x z 11 GCSE x = 3.5 x 3 = 10.5
Edexcel Foundation: May 2017 Paper 1, Q3 1
(a) Simplify 6 × d × g × 5
30dg
6 x 5 x d x g
(1)
(b) Solve 𝑥 3 =3 1 2
10.5
x = 3.5 x 3 = 10.5 x3 x3
(1)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7
28yz
4 x 7 x y x z
(1)
(b) Solve 𝑥 4 =2 3 4
x = 8 + (4 x 3 4 ) = 11 11 x4 x4
(1)
(Total for Question 2 is 2 marks)

14. × 7 expand + x + 28 ÷ 15 GCSE 8 −𝑥 = 7(2x − 4) 8 −𝑥 = 14x − 28
Edexcel Foundation: June 2018 Paper 3, Q25
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)

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