IGCSEMaths: ExtendedCIETopic QuestionsAlgebra & SequencesAlgebra Toolkit

Syllabus Edition

First teaching 2023

First exams 2025

|

Algebra Toolkit (CIE IGCSE Maths: Extended)

Topic Questions

DownloadView
Easy
Medium
Hard
Easy
Medium
Hard
1
Sme Calculator2 marks

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

How did you do?

Did this page help you?

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

How did you do?

Did this page help you?

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.

How did you do?

Did this page help you?

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 = ..............

How did you do?

Did this page help you?

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 = ..............................................

How did you do?

Did this page help you?

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 = .................................................... 

How did you do?

Did this page help you?

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

How did you do?

Did this page help you?

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.

How did you do?

Did this page help you?

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

How did you do?

Did this page help you?

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 ................................................ 

How did you do?

Did this page help you?

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 .............................................. 

How did you do?

Did this page help you?

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.

How did you do?

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.

How did you do?

Did this page help you?

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.

How did you do?

Did this page help you?

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.

How did you do?

Did this page help you?

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...................................................

How did you do?

Did this page help you?

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 .........................................

How did you do?

Did this page help you?

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

How did you do?

Did this page help you?