IGCSEMaths: ExtendedCIEExam Questions2. Algebra & Graphs2.1 Algebra Toolkit

Syllabus Edition

First teaching 2021

Last exams 2024

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Algebra Toolkit (CIE IGCSE Maths: Extended)

Exam Questions

37 mins17 questions
Easy
Medium
Hard
1
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Simplify 3 a space plus space 7 b space minus space 4 a space plus space b.


 

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2
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Simplify.

3 a minus 5 b minus a plus 2 b

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

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4
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Find the value of 7 x space plus space 3 y when x equals 12 and y equals negative 6.

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5
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Complete the statement.

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

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1
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Simplify.

2 p minus q minus 3 q minus 5 p

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2
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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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3
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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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4
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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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5
Sme Calculator1 mark

Complete the statement.

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

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1
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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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2
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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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3a
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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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3b
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Find the other solution.
 

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

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4
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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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5
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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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6
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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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7
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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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