IGCSEMathsEdexcelMaths AHigherExam QuestionsEquations, Formulae & IdentitiesFactorising

Factorising (Edexcel IGCSE Maths A: Higher): Exam Questions

Exam code: 4MA1

1 hour44 questions
Easy
Medium
Hard
1
Sme Calculator
1 mark

Factorise      y squared space minus space 2 y

How did you do?

2
Sme Calculator
1 mark

Factorise        n squared space minus space 7 n

How did you do?

3
Sme Calculator
1 mark

Factorise          x to the power of 2 space end exponent plus space 7 x

How did you do?

4
Sme Calculator
1 mark

Factorise             6 thin space plus thin space 9 x

How did you do?

5
Sme Calculator
1 mark

Factorise          3 e squared plus 5 e

How did you do?

6
Sme Calculator
1 mark

Factorise        3 x plus 6

How did you do?

7a
Sme Calculator
1 mark

Simplify      3 a space cross times space 5 b space cross times space 2 c

How did you do?

7b
Sme Calculator
1 mark

Factorise             3 y space plus space 6

How did you do?

8
Sme Calculator
1 mark

Factorise        y squared space plus space 27 y

How did you do?

9
Sme Calculator
2 marks

Factorise fully  8 p squared space – space 2 p

How did you do?

10
Sme Calculator
1 mark

Tenzin is given this question.

Factorise fully.

2 x squared plus 6 x

Here is his answer.

2 x squared plus 6 x equals x open parentheses 2 x plus 6 close parentheses

Explain why Tenzin’s answer is not correct.

How did you do?

11
2 marks

Factorise fully 12 p q minus 18 p

How did you do?

1
Sme Calculator
2 marks

Factorise                 x squared plus 3 x minus 10

How did you do?

2
Sme Calculator
2 marks

Factorise               y squared minus 10 y space plus 16

How did you do?

3a
Sme Calculator
3 marks

(i) Factorise                x squared space minus 12 x space plus space 27

[2]

(ii) Solve the equation          x squared space minus 12 x space plus space 27 space equals space 0

[1]

How did you do?

3b
Sme Calculator
1 mark

Factorise                      y squared space minus 100

How did you do?

4
Sme Calculator
2 marks

Factorise                 y squared space plus space 7 y space plus space 6

How did you do?

5
Sme Calculator
2 marks

Factorise  x to the power of 2 space end exponent plus space 3 x space minus 4

How did you do?

6
Sme Calculator
1 mark

Factorise         x squared space minus space 49

How did you do?

7a
Sme Calculator
2 marks

Factorise fully      8 a squared space plus space 12 a

How did you do?

7b
Sme Calculator
2 marks

Factorise         y squared space minus space y space minus 2

How did you do?

8
Sme Calculator
2 marks

Factorise                   e squared space plus space e space minus 12

How did you do?

9
Sme Calculator
2 marks

Factorise fully       3 x y squared space minus space 6 x y

How did you do?

10a
Sme Calculator
1 mark

Factorise              6 m space minus space 9

How did you do?

10b
Sme Calculator
2 marks

Factorise fully       2 x squared y space plus space 4 x y squared

How did you do?

11a
Sme Calculator
2 marks

Simplify fully      fraction numerator n to the power of 7 space cross times space n cubed over denominator n to the power of 6 end fraction

How did you do?

11b
Sme Calculator
2 marks

Expand and simplify      x open parentheses x space minus space 2 close parentheses space plus space 2 x open parentheses x space plus space 3 close parentheses

How did you do?

11c
Sme Calculator
1 mark

Factorise   5 y space minus space 15

How did you do?

11d
Sme Calculator
2 marks

Factorise fully     18 a b space plus space 27 a b squared

How did you do?

12
Sme Calculator
2 marks

Factorise completely          8 x to the power of 2 space end exponent plus space 4 x y

How did you do?

13
Sme Calculator
2 marks

Factorise completely         6 y squared space minus space 9 x y

How did you do?

14
Sme Calculator
2 marks

Factorise fully          9 x squared space minus space 6 x y

How did you do?

15
Sme Calculator
2 marks

Factorise   y squared minus 2 y minus 35

How did you do?

16
Sme Calculator
2 marks

Factorise  x squared space – space 11 x space plus space 24

How did you do?

17
Sme Calculator
1 mark

Circle the factor of  x squared minus 5 x

x minus 1

negative 5 x

x minus 5

5 x

How did you do?

18
Sme Calculator
1 mark

Factorise x squared space – space 64

Circle your answer.

left parenthesis x space plus space 8 right parenthesis squared

left parenthesis x space – space 8 right parenthesis squared

left parenthesis x space plus space 8 right parenthesis left parenthesis x space – space 8 right parenthesis

x left parenthesis x space – space 64 right parenthesis

How did you do?

19
2 marks

Factorise fully 6 y squared plus 15 y

How did you do?

20
2 marks

Factorise fully 16 a squared b cubed plus 20 a cubed b

How did you do?

21
3 marks

Factorise fully 50 g squared minus 18

How did you do?

1
Sme Calculator
2 marks

Factorise fully       20 x squared space minus space 5

How did you do?

2a
Sme Calculator
1 mark

Factorise           y squared space minus space 16

How did you do?

2b
Sme Calculator
2 marks

Factorise         2 p squared space minus space p space minus 10

How did you do?

3
Sme Calculator
1 mark

Factorise          4 x squared space minus space 9

How did you do?

4a
Sme Calculator
1 mark

Factorise        a squared space minus space b squared

How did you do?

4b
Sme Calculator
3 marks

Hence, or otherwise, simplify fully open parentheses x squared plus 4 close parentheses squared space minus space open parentheses x squared space minus space 2 close parentheses squared

How did you do?

5
Sme Calculator
2 marks

Factorise fully  15 b to the power of 5 space c space minus space 35 b cubed space c to the power of 9

How did you do?

6
Sme Calculator
2 marks

Factorise fully   15 y to the power of 4 space plus space 20 u y cubed

How did you do?

7
Sme Calculator
2 marks

 Factorise fully  25 a to the power of 4 c to the power of 7 d space plus space 45 a to the power of 9 c cubed h

How did you do?

8
Sme Calculator
2 marks

Factorise fully 2 e squared – space 18

How did you do?

9
Sme Calculator
1 mark

Factorise  4 c squared space – space 9 d squared

How did you do?

10
Sme Calculator
2 marks

Factorise  6 y squared space – space y space – space 5

How did you do?

11
Sme Calculator
2 marks

Factorise  3 x to the power of 2 space end exponent plus space 11 x space – space 20

How did you do?

12
Sme Calculator
2 marks

Factorise   3 x squared space plus space 14 x space plus space 8

How did you do?