1. Quadratic Factorisation – With Coefficients – 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.

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3. GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q14
(a) Simplify 𝑥2 − 16 2𝑥2 − 5𝑥 − 12
(a) Simplify 𝑥2 − 16 2𝑥2 − 5𝑥 − 12 1 1
(3)
(3)
(b) Make v the subject of the formula g = 13(𝑑 − 3𝑣) 𝑣
(b) Make v the subject of the formula g = 13(𝑑 − 3𝑣) 𝑣
(3)
(3)
(Total for Question 1 is 6 marks)
(Total for Question 1 is 6 marks)

5. GCSE GCSE GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q17
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥 1 1
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
Edexcel Higher: May 2018 Paper 1, Q17
GCSE
Edexcel Higher: May 2018 Paper 1, Q17
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥 1 1
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

7. GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q19
Here are two right-angled triangles. 1
Here are two right-angled triangles. a a
2x − 4 b
2x − 4 b
3x − 13
3x − 13 x
9x + 5 x
9x + 5
Given that
tan a = tan b
Find the value of x.
You must show all your working.
Given that
tan a = tan b
Find the value of x.
You must show all your working.
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

9. GCSE Edexcel Higher: June 2017 Paper 3, Q14
(a) Simplify 𝑥2 − 16 2𝑥2 − 5𝑥 − 12 1
(3)
(b) Make v the subject of the formula g = 13(𝑑 − 3𝑣) 𝑣
(3)
(Total for Question 1 is 6 marks)

10. GCSE Edexcel Higher: May 2018 Paper 1, Q17
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥 1
(Total for Question 1 is 3 marks)

11. GCSE Edexcel Higher: June 2018 Paper 3, Q19 1
Here are two right-angled triangles. a
2x − 4 b
3x − 13 x
9x + 5
Given that
tan a = tan b
Find the value of x.
You must show all your working.
(Total for Question 1 is 5 marks)

12. = (𝑥+4)(𝑥−4) 2𝑥+3 𝑥 −4 = (𝑥+4) 2𝑥+3 𝑥 + 4 2𝑥 + 3 𝑣𝑔=13(𝑑−3𝑣)
GCSE
Edexcel Higher: June 2017 Paper 3, Q14
(a) Simplify 𝑥2 − 16 2𝑥2 − 5𝑥 − 12
(𝑥+4)(𝑥−4) 1
Factorise
= (𝑥+4)(𝑥−4) 2𝑥+3 𝑥 −4
(2𝑥 )(𝑥 )
1, 12
2, 6
3, 4
= (𝑥+4) 2𝑥+3
𝑥 𝑥 + 3
(2𝑥+3)(𝑥 −4)
(3)
(b) Make v the subject of the formula g = 13(𝑑 − 3𝑣) 𝑣
𝑣𝑔=13(𝑑−3𝑣)
𝑣𝑔=13𝑑−39𝑣)
𝑣𝑔+39𝑣=13𝑑
𝑣(𝑔+39)=13𝑑
𝑣= 13𝑑 (𝑔+39)
𝑣= 13𝑑 (𝑔+39)
(3)
(Total for Question 1 is 6 marks)

13. GCSE (3𝑥+2)(𝑥−4) 4𝑥(𝑥−4) = (3𝑥+2) 4𝑥 Factorise (3𝑥+4)(𝑥−4) Factorise
Edexcel Higher: May 2018 Paper 1, Q17
(a) Simplify 3𝑥2 −10𝑥 −8 4𝑥2 −16𝑥 1
Factorise
(3𝑥+4)(𝑥−4)
Factorise
𝐹𝑎𝑐𝑡𝑜𝑟𝑠 𝑜𝑓 8:1, 8, 2, 4
4𝑥(𝑥−4)
(3𝑥+2)(𝑥−4)
(3𝑥+2)(𝑥−4) 4𝑥(𝑥−4)
= (3𝑥+2) 4𝑥
(Total for Question 1 is 3 marks)

14. GCSE 𝑇𝑎𝑛 𝑥= 𝑂 𝐴 𝑥(3𝑥−13)=(9𝑥+5)(2𝑥−4) 3𝑥2 −13𝑥=18𝑥2+10𝑥−36𝑥−20
Edexcel Higher: June 2018 Paper 3, Q19 1
Here are two right-angled triangles. a
2x − 4 b
3x − 13 x
9x + 5
Given that
tan a = tan b
Find the value of x.
You must show all your working.
𝑇𝑎𝑛 𝑥= 𝑂 𝐴
𝑥 2𝑥−4 = 9𝑥+5 3𝑥−13
𝑥(2𝑥−4)(3𝑥−13) 2𝑥−4 = (9𝑥+5)(2𝑥−4)(3𝑥−13) 3𝑥−13
𝑥(3𝑥−13)=(9𝑥+5)(2𝑥−4)
3𝑥2 −13𝑥=18𝑥2+10𝑥−36𝑥−20
−13𝑥=15𝑥2−26𝑥−20
0=15𝑥2−13𝑥−20
0=(3𝑥 −5 )(5𝑥 +4)
𝑥= 5 3
𝑥= 5 3 or − 4 5
Must be positive
(Total for Question 1 is 5 marks)

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