IGCSEMaths: CoreCIEExam QuestionsAlgebra & SequencesAlgebra Toolkit

Syllabus Edition

First teaching 2021

Last exams 2024

|

Algebra Toolkit (CIE IGCSE Maths: Core)

Exam Questions

1 hour29 questions
Easy
Medium
Hard
1
Sme Calculator1 mark

Simplify 5 t plus 4 t minus 2 t

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2
Sme Calculator1 mark

Simplify.

7 g space – space g space plus space 2 g

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3
Sme Calculator2 marks

Simplify.

6 a minus 3 b plus 2 a minus 4 b

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4
Sme Calculator2 marks

Simplify.

2 x minus 6 y plus 3 x plus 2 y

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5
Sme Calculator2 marks

Simplify.

4 x plus 3 y plus 2 x minus 8 y

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6
Sme Calculator2 marks

Simplify  3 c minus 5 d minus c plus 2 d

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7
Sme Calculator2 marks

Simplify.

5 w plus 3 h minus 7 w plus 8 h

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8
Sme Calculator2 marks

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

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9
Sme Calculator2 marks

Simplify 8 a plus 3 b minus 2 a plus b

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10
Sme Calculator2 marks

Simplify.

4 c space plus space 2 d space minus c space plus 6 d

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11
Sme Calculator2 marks

W equals 3 a plus 5 c

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

W = .................................................

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1
Sme Calculator2 marks

Simplify.

2 p space minus space q minus 3 q minus 5 p

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2
Sme Calculator2 marks

Simplify.

4 x minus 12 y plus 10 x plus 25 y

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3
Sme Calculator2 marks

A equals 1 fourth b c squared

Calculate the value ofspace A spacewhen space b space= 3 and c = 6.

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4
Sme Calculator2 marks

T equals 3 a squared b

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

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

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5
Sme Calculator2 marks

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

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6a
Sme Calculator2 marks

h space equals space 5 m minus 2 n

Calculate h when m space equals space 4 and n space equals space minus 6.

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6b
Sme Calculator2 marks

Solve.

7 left parenthesis x space minus space 3 right parenthesis space equals space 56

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

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6c
Sme Calculator2 marks

Make t the subject of the formula r space equals space 6 t space plus space 7.

t space= ..............................

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7
Sme Calculator4 marks

Simplify.

i)
16 c space minus space 5 d space minus space 4 c space plus space 4 d

[2]

ii)
4 x cubed space cross times space 2 x to the power of 7
[2]

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8
Sme Calculator2 marks

Find the value of 5 u minus 2 v when u space equals space 11 and v space equals negative 3.

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9
Sme Calculator1 mark

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

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

............................................ °C 

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10
Sme Calculator4 marks

The diagram shows a rectangle with length 7a and width 2a.

q5a-058031-mayjune2019-cie-igcse-maths-core

Write an expression, in its simplest form, for

i)
the perimeter,
[2]
ii)
the area.
[2]

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1
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= .................................................

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2
Sme Calculator4 marks

c space equals 5 a minus 2 b

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

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3a
Sme Calculator2 marks

Simplify.

9 x minus 2 y minus 5 x minus y

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3b
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 = ................................................... 

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4
Sme Calculator2 marks

T equals a squared plus 4 b

Find the value of T when a space equals space 5 and b space equals space 3.

T space equals............................... 

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5
Sme Calculator2 marks

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

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6
Sme Calculator2 marks

Expand and simplify.

6 left parenthesis 2 y space minus space 3 right parenthesis space minus space 5 left parenthesis y space plus space 1 right parenthesis

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7
Sme Calculator2 marks

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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8
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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