IGCSEMaths: CoreCIETopic QuestionsAlgebra & SequencesAlgebra Toolkit

Syllabus Edition

First teaching 2023

First exams 2025

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Algebra Toolkit (CIE IGCSE Maths: Core)

Topic Questions

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1
Sme Calculator2 marks

Simplify.

6a-3b+2a-4b{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}

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2
Sme Calculator2 marks

Simplify.

4 x plus 3 y plus 2 x minus 8 y

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3
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W equals 3 a plus 5 c

Find the value of W when a = 6 and c = 2.

W = .................................................Ā 

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4
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SimplifyĀ Ā 3 c minus 5 d minus c plus 2 d

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5
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Simplify.

5 w plus 3 h minus 7 w plus 8 h

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6
Sme Calculator2 marks

SimplifyĀ 5 c minus d minus 3 d minus 2 c.

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7
Sme Calculator1 mark

SimplifyĀ 5t+4t-2t{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}

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8
Sme Calculator2 marks

SimplifyĀ 8 a plus 3 b minus 2 a plus b

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1
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A pen costs 60 cents and a ruler costs 29 cents.
Write down an expression for the total cost, in cents, of x pens and space y spacerulers.

........................................ cents

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2
Sme Calculator3 marks

A equals fraction numerator open parentheses a plus b close parentheses h over denominator 2 end fraction

Work out the value of h when A = 38.64, a = 5.5 and b = 3.7

h space= .................................................Ā 

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3
Sme Calculator4 marks

c space equals 5 a minus 2 b

i)
Find the value of c when a = 8 and b = āˆ’3.
[2]
ii)
Make a the subject of the formula c equals 5 a minus 2 b.
a = ................................................... [2]

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4a
Sme Calculator2 marks

Simplify.

9 x minus 2 y minus 5 x minus y

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4b
Sme Calculator3 marks

P equals 4 a b plus 3 b squared

Work out the value of a when P = 35 and b = 5.

a = ...................................................Ā 

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5
Sme Calculator3 marks

qp5c-0580-32-paper-3-may-2020-cie-igcse-maths

Find an expression for the perimeter of this triangle.
Give your answer in its simplest form.

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1
Sme Calculator2 marks

A equals 1 fourth b c squared

Calculate the value ofspace A spacewhen space b space= 3 and c{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true} = 6.

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2
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T equals 3 a squared b

Find the value of T when a = 4 and b = 5.

T=.....................................

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3
Sme Calculator1 mark

Kyra has a faulty thermometer.
It always shows the temperature as 2Ā°C higher than the actual temperature.
The temperature on the thermometer is TĀ°C.

Write an expression, in terms of T, for the actual temperature.

............................................ Ā°CĀ 

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4
Sme Calculator2 marks

Calculate the value ofĀ 4 x squared plus x y when x space equals space 3 and y space equals space minus 2.

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5
Sme Calculator2 marks

Simplify.

4 x minus 12 y plus 10 x plus 25 y

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