IGCSEMaths: CoreCIEExam QuestionsAlgebra & SequencesExpanding & Factorising Brackets

Syllabus Edition

First teaching 2023

First exams 2025

|

Expanding & Factorising Brackets (CIE IGCSE Maths: Core)

Exam Questions

48 mins29 questions
Easy
Medium
Hard
1
Sme Calculator1 mark

Expand.

5 open parentheses x minus 3 close parentheses

How did you do?

Did this page help you?

2
Sme Calculator1 mark

Multiply out.

9 open parentheses 3 minus x close parentheses

How did you do?

Did this page help you?

3
Sme Calculator1 mark

Factorise 5 p space plus space p t.

How did you do?

Did this page help you?

4
Sme Calculator1 mark

Factorise 3 x plus 12.

How did you do?

Did this page help you?

5
Sme Calculator1 mark

Factorise 12 x plus 15

How did you do?

Did this page help you?

6
Sme Calculator1 mark

Factorise 5 y minus 6 p y

How did you do?

Did this page help you?

1
Sme Calculator1 mark

Factorise completely 18 x minus 24

How did you do?

Did this page help you?

2
Sme Calculator2 marks

Expand x open parentheses 2 y plus x close parentheses

How did you do?

Did this page help you?

3
Sme Calculator2 marks

Expand and simplify open parentheses x plus 3 close parentheses open parentheses x plus 5 close parentheses.

How did you do?

Did this page help you?

4a
Sme Calculator2 marks

Expand.

x squared open parentheses x minus 7 close parentheses

How did you do?

4b
Sme Calculator1 mark

Factorise.

y squared plus y

How did you do?

Did this page help you?

5
Sme Calculator1 mark

Factorise 2 x squared minus x.

How did you do?

Did this page help you?

6
Sme Calculator2 marks

Factorise completely.

8 g squared space minus space 4 g

How did you do?

Did this page help you?

1
Sme Calculator2 marks

Expand the brackets and simplify.

4 open parentheses 2 m plus 3 close parentheses minus 5 open parentheses m minus 2 close parentheses

How did you do?

Did this page help you?

2
Sme Calculator2 marks

Factorise completely.

12 b plus 8 b squared

How did you do?

Did this page help you?

3
Sme Calculator2 marks

Factorise completely.

21 a squared plus 28 a b

How did you do?

Did this page help you?

4
Sme Calculator2 marks

Expand and simplify.

open parentheses x minus 5 close parentheses open parentheses x minus 7 close parentheses

How did you do?

Did this page help you?

5
Sme Calculator2 marks
i)
Multiply out the brackets.
x open parentheses 3 minus 5 x close parentheses
[2]
ii)
Factorise fully.
5 x minus 20 x squared
[2]

How did you do?

Did this page help you?

6a
Sme Calculator2 marks

Factorise completely.

3 x squared minus 12 x y

How did you do?

6b
Sme Calculator2 marks

Expand and simplify.

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

How did you do?

Did this page help you?

7
Sme Calculator2 marks

Factorise completely.

6 d squared e minus 9 e squared

How did you do?

Did this page help you?