1. Linear Equations – Forming & Solving – 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.

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Highlight both slides before using ‘Print Selection’.
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3. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 2, Q9
4𝑥°
4𝑥°
5𝑥°
5𝑥°
Find the value of 𝑥.
Find the value of 𝑥.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 2, Q9
Edexcel Foundation: June 2017 Paper 2, Q9 1 1
4𝑥°
4𝑥°
5𝑥°
5𝑥°
Find the value of 𝑥.
Find the value of 𝑥.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE Edexcel Foundation: November 2017 Paper 1, Q28
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 Edexcel Foundation: June 2017 Paper 3, Q13
The size of the largest angle in a triangle is 5 times the size of the smallest angle.
The other angle is 84° less than the largest angle.
Work out, in degree, the size of each angle in the triangle.
You must show your working. 1
The size of the largest angle in a triangle is 5 times the size of the smallest angle.
The other angle is 84° less than the largest angle.
Work out, in degree, the size of each angle in the triangle.
You must show your working.
°, °, °,
°, °, °,
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

9. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 3, Q10
ABC is a straight line. 1
ABC is a straight line. 𝐴 𝐵 𝐶 𝐴 𝐵 𝐶
The length of AB is 6 times the length of BC.
AC = 63cm.
Work out the length AB.
The length of AB is 6 times the length of BC.
AC = 63cm.
Work out the length AB. cm cm
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 3, Q10
Edexcel Foundation: June 2017 Paper 3, Q10 1
ABC is a straight line. 1
ABC is a straight line. 𝐴 𝐵 𝐶 𝐴 𝐵 𝐶
The length of AB is 6 times the length of BC.
AC = 63cm.
Work out the length AB.
The length of AB is 6 times the length of BC.
AC = 63cm.
Work out the length AB. cm cm
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

11. GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q24
Here is a rectangle.
The length of the rectangle is 6cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
The perimeter of the 8-sided shape is 56cm.
Wok out the area of the 8-sided shape. 1
Here is a rectangle.
The length of the rectangle is 6cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
The perimeter of the 8-sided shape is 56cm.
Wok out the area of the 8-sided shape.
cm3
cm3
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

13. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 1, Q24
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age. 1
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age.
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 1, Q24
Edexcel Foundation: November 2017 Paper 1, Q24 1
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age. 1
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age.
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

15. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q17
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. 1
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. P
5x cm Q P
5x cm Q
5x cm
5x cm R R
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2018 Paper 3, Q17
Edexcel Foundation: June 2018 Paper 3, Q17 1
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. P
5x cm 1
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. Q P
5x cm Q
5x cm
5x cm R R
x =
x =
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

18. GCSE Edexcel Foundation: November 2017 Paper 1, Q28
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)

19. GCSE Edexcel Foundation: June 2017 Paper 3, Q13
The size of the largest angle in a triangle is 5 times the size of the smallest angle.
The other angle is 84° less than the largest angle.
Work out, in degree, the size of each angle in the triangle.
You must show your working.
°, °, °,
(Total for Question 1 is 5 marks)

21. GCSE Edexcel Foundation: November 2017 Paper 3, Q24
Here is a rectangle.
The length of the rectangle is 6cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
The perimeter of the 8-sided shape is 56cm.
Wok out the area of the 8-sided shape.
cm3
(Total for Question 1 is 5 marks)

22. GCSE Edexcel Foundation: November 2017 Paper 1, Q24
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age.
(Total for Question 1 is 4 marks)

23. GCSE Edexcel Foundation: June 2018 Paper 3, Q17 1
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. P
5x cm Q
5x cm R
x =
(Total for Question 1 is 3 marks)

24. GCSE = 9𝑥° 360° - 90° = 270° 9𝑥 = 270 1𝑥 = 270 ÷ 9 = 30° 𝑥 = 30°
Edexcel Foundation: June 2017 Paper 2, Q9 1
= 9𝑥°
4𝑥°
5𝑥°
360° - 90° = 270°
Find the value of 𝑥.
9𝑥 = 270
1𝑥 = 270 ÷ 9 = 30°
𝑥 = 30°
(Total for Question 1 is 3 marks)

25. 6x – 7 = 3x + 5 (-3x) (-3x) 3x – 7 = 5 (+7) (+7) 3x = 12 (÷3) (÷3)
GCSE
Edexcel Foundation: November 2017 Paper 1, Q28 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)

26. GCSE
Edexcel Foundation: June 2017 Paper 3, Q13 1
The size of the largest angle in a triangle is 5 times the size of the smallest angle.
The other angle is 84° less than the largest angle.
Work out, in degree, the size of each angle in the triangle.
You must show your working. 5x
5x - 84 x
5x + 5x + x – 84 = 11x - 84
11x – 84 = 180°
11x = 264°
x = 24°
(5×24)−84 =36
5×24 =120 24 36
120
°, °, °,
(Total for Question 1 is 5 marks)

27. GCSE
Edexcel Foundation: June 2017 Paper 3, Q10 6x x 1
ABC is a straight line. 54 𝐴 𝐵 9 𝐶
The length of AB is 6 times the length of BC.
AC = 63cm.
Work out the length AB.
7x = 63
x = 9cm
AB = 6x = 54 54 cm
(Total for Question 1 is 3 marks)

28. x + 6 x Perimeter = 8x + 36 = 56 8x = 20 x = 2.5 8.5cm 2.5cm
GCSE
Edexcel Foundation: November 2017 Paper 3, Q24
x + 6 1
Here is a rectangle.
The length of the rectangle is 6cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
The perimeter of the 8-sided shape is 56cm.
Wok out the area of the 8-sided shape. x
x + 6 x
(x + 6) – (x) = 6 x
x + 6
(x + 6) – (x) = 6
x + 6 x x
x + 6
Perimeter = 8x + 36 = 56
8x = 20
x = 2.5
8.5cm
2.5cm
Area = 8.5 x 2.5 = 21.25
Total Area = 4 x = 85 85
cm3
(Total for Question 1 is 5 marks)

29. GCSE Pete : Jo : Mary x : x + 8 : 3(x+8) = Total = 92
Edexcel Foundation: November 2017 Paper 1, Q24 1
Joseph is 8 years older than Pete.
Mary is three times as old as Jo.
The sum of their three ages is 92
Find the ratio of Pete’s age to Joseph's age to Mary’s age.
Pete : Jo : Mary
x : x + 8 : (x+8)
= Total = 92
x + x x + 24 = 92
5x + 32 = 92
5x = 60
x = 12
Pete : Jo : Mary
12 : : 3(12+8)
12 : : 60
3 : 5 : 15
(Total for Question 1 is 4 marks)

30. GCSE
Edexcel Foundation: June 2018 Paper 3, Q17 1
PRQ is an isosceles triangle.
The area of the triangle is 800 cm2
Work out the value of x. P
5x cm Q
5x cm
½ × 5𝑥 × 5𝑥 = 800
½ × 25𝑥2 = 800 R
12.5𝑥2 = 800
𝑥2 = 64
𝑥 = = +/- 8 cm 8
x =
(Total for Question 1 is 3 marks)

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