EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Expanding and Factorising
Expanding and factorising · Algebra · Lesson 2 of 7 · 13 marks · 25 minutes
Name Date
Answer all questions. Show your working. All questions are non-calculator.
Question 1 NON-CALCULATOR [1 mark]
Expand 4(3x − 7)
Question 2 NON-CALCULATOR [2 marks]
Expand and simplify 3(2y + 5) − 2(y − 4)
Question 3 NON-CALCULATOR [2 marks]
Factorise fully 15y² + 10y
Question 4 NON-CALCULATOR [2 marks]
Expand and simplify (x + 6)(x − 2)
Question 5 NON-CALCULATOR [2 marks]
Factorise x² + 9x + 20
Question 6 NON-CALCULATOR [1 mark]
Factorise x² − 64
Question 7 NON-CALCULATOR · SHOW THAT [3 marks]
The diagram shows a rectangle. The length is (x + 5) cm and the width is (x − 2) cm. Show that the area of the rectangle, in cm², is x² + 3x − 10.
Answers
Check your answer only once you have written one.
Question 1 [1 mark]
12x − 28
▸ 12x − 28 B1
Question 2 [2 marks]
6y + 15 − 2y + 8 = 4y + 23
▸ 6y + 15 or −2y + 8 correct M1
▸ 4y + 23 A1
Question 3 [2 marks]
5y(3y + 2)
▸ 5y(3y + 2) B2
▸ A correct partial factorisation, e.g. 5(3y² + 2y) or y(15y + 10) B1
Question 4 [2 marks]
x² − 2x + 6x − 12 = x² + 4x − 12
▸ At least 3 of the 4 terms correct: x², −2x, +6x, −12 M1
▸ x² + 4x − 12 A1
Question 5 [2 marks]
(x + 4)(x + 5)
▸ (x + 4)(x + 5) B2
▸ (x ± 4)(x ± 5) B1
Question 6 [1 mark]
(x + 8)(x − 8)
▸ (x + 8)(x − 8) B1
Question 7 [3 marks]
Area = (x + 5)(x − 2) = x² − 2x + 5x − 10 = x² + 3x − 10
▸ Area = (x + 5)(x − 2) M1
▸ At least 3 of the 4 terms correct M1
▸ Fully correct expansion reaching x² + 3x − 10 A1