Syllabus Edition

First teaching 2021

Last exams 2024

|

Expanding & Factorising Brackets (CIE IGCSE Maths: Extended)

Exam Questions

2 hours52 questions
1
Sme Calculator
1 mark

Factorise completely.

4 space minus space 8 x

Did this page help you?

2
Sme Calculator
2 marks

Factorise completely  21 a squared space plus 28 a b.

Did this page help you?

3
Sme Calculator
2 marks

Factorise completely.

3 x squared minus 12 x y

Did this page help you?

4
Sme Calculator
1 mark

Factorise 5 p plus p t.

Did this page help you?

5
Sme Calculator
1 mark

Expand.

a left parenthesis a cubed plus 3 right parenthesis

Did this page help you?

6
Sme Calculator
1 mark

Factorise.

12 x plus 15

Did this page help you?

7
Sme Calculator
1 mark

Factorise 5 y minus 6 p y.

Did this page help you?

8
Sme Calculator
1 mark

Factorise 2 x squared minus x.

Did this page help you?

9
Sme Calculator
1 mark

Factorise 7 k squared minus 15 k.

Did this page help you?

10
Sme Calculator
1 mark

Factorise.

y minus 2 y squared

Did this page help you?

11
Sme Calculator
1 mark

Expand.

7 left parenthesis x space – space 8 right parenthesis

Did this page help you?

12
Sme Calculator
1 mark

Factorise.

w plus w cubed

Did this page help you?

1
Sme Calculator
2 marks

Expand and simplify.

open parentheses m minus 3 close parentheses open parentheses m plus 2 close parentheses

Did this page help you?

2
Sme Calculator
2 marks

Expand and simplify left parenthesis x plus 3 right parenthesis left parenthesis x plus 5 right parenthesis.

Did this page help you?

3
Sme Calculator
2 marks

Expand and simplify.

left parenthesis 3 x minus 7 right parenthesis left parenthesis 2 x plus 9 right parenthesis

Did this page help you?

4
Sme Calculator
2 marks

Expand.

2 x left parenthesis 3 minus x squared right parenthesis

Did this page help you?

5
Sme Calculator
2 marks

Expand and simplify.

6 left parenthesis 2 y minus 3 right parenthesis minus 5 left parenthesis y plus 1 right parenthesis

Did this page help you?

6
Sme Calculator
3 marks

Expand the brackets and simplify.

left parenthesis 2 p plus 3 right parenthesis left parenthesis 3 p minus 2 right parenthesis

Did this page help you?

7
Sme Calculator
2 marks

Factorise completely 15 k squared m minus 20 m to the power of 4.

Did this page help you?

1
Sme Calculator
2 marks

Factorise 6 x squared space plus space 7 x space minus space 20.

Did this page help you?

2
Sme Calculator
2 marks

Factorise 3 x plus 8 y minus 6 a x minus 16 a y.

Did this page help you?

3
Sme Calculator
3 marks

Factorise completely  20 x squared minus 45 y squared.

Did this page help you?

4
Sme Calculator
3 marks

Expand and simplify  left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis left parenthesis 3 x minus 1 right parenthesis.

Did this page help you?

5
Sme Calculator
2 marks

x squared minus 12 x plus a equals open parentheses x plus b close parentheses squared

Find the value of a and the value of b.


   a equals .................................................

b equals .................................................

Did this page help you?

6
Sme Calculator
2 marks

Factorise.

18 y minus 3 a y plus 12 x minus 2 a x

Did this page help you?

7
Sme Calculator
2 marks

Factorise.

x y minus 2 x plus 3 y minus 6

Did this page help you?

8
Sme Calculator
3 marks

Expand and simplify left parenthesis x plus 1 right parenthesis left parenthesis x plus 2 right parenthesis plus 2 x left parenthesis x minus 3 right parenthesis.

Did this page help you?

9a
Sme Calculator
1 mark

Factorise p squared minus q squared .

9b
Sme Calculator
2 marks

p squared minus q squared equals 7 and p minus q equals 2.

Find the value of p plus q.

Did this page help you?

10
Sme Calculator
2 marks

Complete this statement with an expression in terms of m.

 18 m cubed plus 9 m squared plus 14 m plus 7 equals left parenthesis 9 m squared plus 7 right parenthesis left parenthesis.............................. right parenthesis 

Did this page help you?

11
Sme Calculator
2 marks

Factorise 12 left parenthesis m plus p right parenthesis plus 8 open parentheses m plus p close parentheses squared.

Did this page help you?

12
Sme Calculator
2 marks

Factorise.

x y plus 5 y plus 2 x plus 10

Did this page help you?

13
Sme Calculator
2 marks

Factorise completely.

p x plus p y minus x minus y

Did this page help you?

14
Sme Calculator
2 marks

Factorise completely.

x y plus 2 y plus 3 x plus 6

Did this page help you?

15
Sme Calculator
2 marks

Factorise completely.

2 a plus 4 b minus a x minus 2 b x

Did this page help you?

16
Sme Calculator
3 marks

Factorise.

3 x squared minus 48 y squared

Did this page help you?

17
Sme Calculator
3 marks

Factorise completely.

2 t squared minus 98 m squared

Did this page help you?