IGCSEMathsCambridge (CIE)International MathsCoreExam QuestionsAlgebra & SequencesExpanding & Factorising Brackets

Expanding & Factorising Brackets (Cambridge (CIE) IGCSE International Maths: Core): Exam Questions

Exam code: 0607

37 mins21 questions
Easy
Medium
Hard
1
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1 mark

Expand.

5 open parentheses x minus 3 close parentheses

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2
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1 mark

Multiply out.

9 open parentheses 3 minus x close parentheses

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3
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1 mark

Factorise 5 p space plus space p t.

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4
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1 mark

Factorise 3 x plus 12.

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5
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1 mark

Factorise 12 x plus 15

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6
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1 mark

Factorise 5 y minus 6 p y

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7
2 marks

Expand and simplify.

open parentheses x plus 7 close parentheses open parentheses x minus 2 close parentheses

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8
2 marks

Factorise.

12 y squared minus 9 y

How did you do?

1
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1 mark

Factorise completely 18 x minus 24

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2
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2 marks

Expand x open parentheses 2 y plus x close parentheses

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3
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2 marks

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

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4a
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2 marks

Expand.

x squared open parentheses x minus 7 close parentheses

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4b
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1 mark

Factorise.

y squared plus y

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5
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1 mark

Factorise 2 x squared minus x.

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6
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2 marks

Factorise completely.

8 g squared space minus space 4 g

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1
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2 marks

Expand the brackets and simplify.

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

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2
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2 marks

Factorise completely.

12 b plus 8 b squared

How did you do?

3
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2 marks

Factorise completely.

21 a squared plus 28 a b

How did you do?

4
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2 marks

Expand and simplify.

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

How did you do?

5
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2 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?

6a
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2 marks

Factorise completely.

3 x squared minus 12 x y

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6b
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2 marks

Expand and simplify.

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

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7
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2 marks

Factorise completely.

6 d squared e minus 9 e squared

How did you do?