IGCSEMaths: ExtendedCIETopic Questions2. Algebra & Graphs2.3 Expanding & Factorising Brackets

Syllabus Edition

First teaching 2021

Last exams 2024

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Expanding & Factorising Brackets (CIE IGCSE Maths: Extended)

Topic Questions

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1
Sme Calculator2 marks

Factorise  24 space plus space 5 x space minus space x squared.

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2
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Expand and simplify  open parentheses 3 x minus 5 y close parentheses open parentheses 2 x plus y close parentheses.

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3
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Factorise  5 m squared minus 20 p to the power of 4.

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4
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Factorise  12 a b cubed plus 18 a cubed b squared.

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5
Sme Calculator5 marks

Factorise.

i)
2 m n plus m squared minus 6 n minus 3 m

[2]

ii)
4 y squared minus 81

[1]

iii)
t squared minus 6 t plus 8


[2]

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1
Sme Calculator2 marks

Factorise completely.

3 a squared b space minus space a b squared

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2
Sme Calculator4 marks

Factorise completely.

i)
6 y squared space minus space 15 x y
 
 [2]
ii)
y to the power of 2 space end exponent minus space 9 x squared
 
 [2]

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3
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Expand and simplify left parenthesis x plus 7 right parenthesis left parenthesis x minus 3 right parenthesis space. 

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4
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Factorise space x squared minus 25.

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5
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Expand and simplify 5 open parentheses p plus 3 close parentheses minus 2 open parentheses 1 minus 2 p close parentheses

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6
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Expand and simplify  open parentheses p plus 9 close parentheses open parentheses p minus 4 close parentheses

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1
Sme Calculator3 marks

Expand and simplify.

open parentheses x minus 2 close parentheses open parentheses x plus 5 close parentheses open parentheses 2 x minus 1 close parentheses

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2
Sme Calculator3 marks

Write open parentheses x space plus space 1 close parentheses open parentheses x space minus space 3 close parentheses squared in the form a x to the power of 3 space end exponent plus space b x squared space plus space c x space plus space d.

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3
Sme Calculator3 marks

Expand and simplify.

left parenthesis y plus 3 right parenthesis left parenthesis y minus 4 right parenthesis left parenthesis 2 y minus 1 right parenthesis

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4
Sme Calculator6 marks

Factorise completely.

i)
15 p squared q squared minus 25 q cubed 
 
[2]
ii)
4 f g plus 6 g h plus 10 f k plus 15 h k 
 
[2]
iii)
81 k squared minus m squared 
 
[2]

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5
Sme Calculator2 marks

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

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