IGCSEMaths: ExtendedCIEExam QuestionsAlgebra & SequencesLinear Equations & Inequalities

Syllabus Edition

First teaching 2023

First exams 2025

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Linear Equations & Inequalities (CIE IGCSE Maths: Extended)

Exam Questions

53 mins22 questions

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Linear Equations & Inequalities

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Linear Equations & Inequalities

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1
Sme Calculator2 marks

Find the integer values that satisfy the inequality 2 space less than space 2 x space less or equal than space 10.

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2
Sme Calculator2 marks

Solve.

7 m minus 2 greater or equal than 19

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3
Sme Calculator2 marks

Solve.

3 w minus 7 equals 32 

w = ................................................ 

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1
Sme Calculator2 marks

Solve the equation.

6 space minus space 2 x space equals space 3 x

x space equals ................................................. 

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2
Sme Calculator2 marks

Solve the equation fraction numerator 1 minus x over denominator 3 end fraction equals 5.
 

x equals ................................................. 

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3
Sme Calculator2 marks

Solve the inequality n space plus space 7 space less than space 5 n space minus space 8.

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4
Sme Calculator2 marks

Solve 5 x minus 17 equals 7 x plus 3.
 

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

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1
Sme Calculator3 marks

Solve.

2 over x space equals space fraction numerator space 6 space over denominator 2 space minus space x end fraction

x space equals ................................................ 

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2
Sme Calculator1 mark

Solve.

15 over x equals negative 3


x equals ................................................

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3
Sme Calculator2 marks

Solve the inequality space 3 m plus 12 less or equal than 8 m minus 5.

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4
Sme Calculator3 marks

Solve the inequality 3 left parenthesis x minus 2 right parenthesis less than 7 left parenthesis x plus 2 right parenthesis.

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5
Sme Calculator2 marks

Solve.

fraction numerator 1 minus p over denominator 3 end fraction equals 4

p equals................................................ 

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