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

Find the value of 7 x space plus space 3 y when x equals 12 and y equals negative 6.

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2
Sme Calculator2 marks

f space equals space 3 g space plus space 7 h

Work out the value of f when g space equals space long dash 5 and space h space equals space 2

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3
Sme Calculator1 mark

Sofia is trying to simplify  fraction numerator 6 c plus 10 over denominator 2 end fraction

Her method is

divide 6 c by 2
then
add 10

Evaluate her method.

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4
Sme Calculator2 marks

Use the formula s space equals space u t space plus space 1 half a t squared.

Calculate s when u = 5, t = 10 and a = 3.

s = ..............

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1
Sme Calculator2 marks

s equals u t plus 1 half a t squared


Find the value of s when u equals 5.2 comma space space t equals 7 and a equals 1.6.


s equals ................................................ 

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2
Sme Calculator2 marks

y space equals space m x space plus space c.

Find the value of y when m space equals space minus 2, x space equals space minus 7 and c space equals space minus 3.


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

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3a
Sme Calculator2 marks

The body mass index, B , for a person of mass m kg and height h metres is given by the formula

B equals m over h squared

Usman has a mass of 50 kg.
He has a height of 1.57 m.

Work out Usman's body mass index.
Give your answer correct to one decimal place.

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3b
Sme Calculator2 marks

Tom's height is 1.80m.
He wants his body mass index to be 21

Work out the mass that will give Tom a body mass index of 21.

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4
Sme Calculator2 marks

A space equals space 4 b c space space space A space equals 100 space space space b space equals space 2

  Work out the value of  c.

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5
Sme Calculator2 marks

x space equals space 0.7

Work out the value of  fraction numerator open parentheses x plus 1 close parentheses squared over denominator 2 x end fraction

Write down all the figures on your calculator display.

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6
Sme Calculator2 marks

w space equals space 5 y squared space – space y cubed

Work out the value of w when y space equals space – 2

w space equals space...................................................

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7
Sme Calculator2 marks

G space equals space c squared space – space 4 c

Find the value of G when c space equals space – 5

G space equals .........................................

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8
Sme Calculator2 marks

Find the value of s when u space equals space 12 comma a space equals space 10 and t space equals space 4.

s equals u t plus 1 half a t squared

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1
Sme Calculator2 marks

y space equals space square root of u squared space x end root

Find the value of y when u space equals space 7 and x space equals space 25.

y = ..............................................

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2
Sme Calculator4 marks

s equals u t plus 1 half a t squared

Find s when t equals 26.5 comma space u equals 104.3 comma space a equals negative 2.2 space. 
Give your answer in standard form, correct to 4 significant figures.
 

s = .................................................... 

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3
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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4
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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5
Sme Calculator1 mark

Amy has x beads.

Billy has three more beads than Amy.

Carly has four times as many beads as Billy.

Circle the expression for the number of beads that Carly has.

4 x space plus space 3 3 x space plus space 4 4 left parenthesis x space plus space 3 right parenthesis x space plus space 12

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