IGCSEMaths: ExtendedCIEExam QuestionsAlgebra & SequencesAlgebra Toolkit

Syllabus Edition

First teaching 2023

First exams 2025

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Algebra Toolkit (CIE IGCSE Maths: Extended)

Exam Questions

1 hour30 questions

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Algebra Toolkit

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1
Sme Calculator2 marks

Simplify 3 a space plus space 7 b space minus space 4 a space plus space b.


 

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2
Sme Calculator2 marks

Simplify.

3 a minus 5 b minus a plus 2 b

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3
Sme Calculator2 marks

Simplify  5 c minus d minus 3 d minus 2 c.

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4
Sme Calculator1 mark

Complete the statement.

When w equals ............... , 10 w equals 70.

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1
Sme Calculator2 marks

space y equals m x plus c
 
Find the value of space y when m equals negative 3, x equals negative 2 and c equals negative 8.
 

space y equals ................................................. 

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2
Sme Calculator2 marks

Simplify.

2 p minus q minus 3 q minus 5 p

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3
Sme Calculator1 mark

Complete the statement.

When 5 x equals 15, 12 x equals....................

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1
Sme Calculator2 marks

space y equals x to the power of 4 minus 4 x cubed space

Find the value of y when x equals negative 1.

y equals................................................ 

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2a
Sme Calculator2 marks

One solution of the equation a x squared plus a equals 150 is x equals 7.

Find the value of a.
 

a = .................................................... 

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2b
Sme Calculator1 mark

Find the other solution.
 

x = .................................................... 

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3
Sme Calculator2 marks

y equals p minus 2 q x squared

p equals negative 10

q equals 3

x equals negative 5

Work out the value of y.

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4
Sme Calculator3 marks

a over b equals 3 c

b over c equals 2

Work out the value of a when c space equals space 8

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5
Sme Calculator3 marks

a spaceand b are positive values.

Show that  fraction numerator 7 a plus 2 b minus 3 a over denominator 8 a plus 6 b plus 2 a minus b end fraction always simplifies to the same value.

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6
Sme Calculator2 marks

Kelly is trying to work out the two values of w for which 3 w space minus space w cubed space equals space 2
Her values are 1 and -1

Are her values correct?
You must show your working.

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