GCSEMathsEdexcelHigherExam Questions2. AlgebraFactorising

Factorising (Edexcel GCSE Maths: Higher): Exam Questions

Exam code: 1MA1

2 hours47 questions
Easy
Medium
Hard
1
1 mark

Factorise      y squared space minus space 2 y

How did you do?

2
1 mark

Factorise        n squared space minus space 7 n

How did you do?

3
1 mark

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

How did you do?

4
1 mark

Factorise             6 thin space plus thin space 9 x

How did you do?

5
1 mark

Factorise          3 e squared plus 5 e

How did you do?

6
1 mark

Factorise        3 x plus 6

How did you do?

7a
1 mark

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

How did you do?

7b
1 mark

Factorise             3 y space plus space 6

How did you do?

8
1 mark

Factorise        y squared space plus space 27 y

How did you do?

9
2 marks

Factorise fully  8 p squared space – space 2 p

How did you do?

10
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
1 mark

Factorise x2 - xy

How did you do?

1
2 marks

Factorise                 x squared plus 3 x minus 10

How did you do?

2
2 marks

Factorise               y squared minus 10 y space plus 16

How did you do?

3a
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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
1 mark

Factorise                      y squared space minus 100

How did you do?

4
2 marks

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

How did you do?

5
2 marks

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

How did you do?

6
1 mark

Factorise         x squared space minus space 49

How did you do?

7a
2 marks

Factorise fully      8 a squared space plus space 12 a

How did you do?

7b
2 marks

Factorise         y squared space minus space y space minus 2

How did you do?

8
2 marks

Factorise                   e squared space plus space e space minus 12

How did you do?

9
2 marks

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

How did you do?

10a
1 mark

Factorise              6 m space minus space 9

How did you do?

10b
2 marks

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

How did you do?

11a
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
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
1 mark

Factorise   5 y space minus space 15

How did you do?

11d
2 marks

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

How did you do?

12
2 marks

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

How did you do?

13
2 marks

Factorise completely         6 y squared space minus space 9 x y

How did you do?

14
2 marks

Factorise fully          9 x squared space minus space 6 x y

How did you do?

15
2 marks

Factorise   y squared minus 2 y minus 35

How did you do?

16
2 marks

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

How did you do?

17
1 mark

Choose the factor of  x squared minus 5 x

  • x minus 1

  • negative 5 x

  • x minus 5

  • 5 x

Choose your answer

18
1 mark

Factorise x squared space – space 64

  • 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

Choose your answer

19
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2 marks

Factorise fully 7 m squared plus 21 m

How did you do?

1
2 marks

Factorise fully       20 x squared space minus space 5

How did you do?

2a
1 mark

Factorise           y squared space minus space 16

How did you do?

2b
2 marks

Factorise         2 p squared space minus space p space minus 10

How did you do?

3
1 mark

Factorise          4 x squared space minus space 9

How did you do?

4a
1 mark

Factorise        a squared space minus space b squared

How did you do?

4b
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
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
2 marks

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

How did you do?

7
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
2 marks

Factorise fully 2 e squared – space 18

How did you do?

9
1 mark

Factorise  4 c squared space – space 9 d squared

How did you do?

10
2 marks

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

How did you do?

11
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
2 marks

Factorise fully     144 minus 4 x squared

How did you do?

13a
2 marks

Factorise   5 x squared plus 6 x minus 8

How did you do?

13b
3 marks

Simplify fully  fraction numerator x squared plus 9 x plus 14 over denominator x squared minus 4 end fraction

How did you do?

14a
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2 marks

Here is an identity.

x squared space – space y squared space identical to space left parenthesis x space plus space y right parenthesis left parenthesis x space – space y right parenthesis

Use the identity to work out the value of  193 squared minus 7 squared.

You must show your working.

How did you do?

14b
1 mark

Factorise  100 a to the power of 2 space end exponent – space 81 b squared

How did you do?

15
2 marks

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

How did you do?

16
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3 marks

i) Factorise x squared space – space 43 squared

[1]

ii) Calculate 57 squared space – space 43 squared

[2]

How did you do?

17
2 marks

Factorise 2 x squared minus 7 x minus 4

How did you do?