IGCSEMaths: CoreCIETopic QuestionsNumberNumber Toolkit

Syllabus Edition

First teaching 2023

First exams 2025

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Number Toolkit (CIE IGCSE Maths: Core)

Topic Questions

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1a
Sme Calculator1 mark

Edelgard tries to calculate fraction numerator 68 plus 18 over denominator 9 minus 5 end fraction

She types into her calculator 68 plus 18 divided by 9 minus 5.

Explain why this does not give Edelgard the correct answer.

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1b
Sme Calculator1 mark

Work out the correct answer to fraction numerator 68 plus 18 over denominator 9 minus 5 end fraction.

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2
Sme Calculator1 mark

Work out   48 divided by 3 minus 5 cross times 2

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3
Sme Calculator2 marks

Calculate 1.09 space plus space fraction numerator 7.85 over denominator 6.21 minus 4.37 end fraction

Give your answer correct to 1 decimal place.

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4
Sme Calculator1 mark

Calculate open parentheses 3 plus 2 close parentheses cross times 6 minus 8

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5
Sme Calculator1 mark

Calculate 7 open parentheses 2 cross times 4 close parentheses plus 8 open parentheses 2 plus 6 close parentheses

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1a
Sme Calculator1 mark

Put one pair of brackets in each statement to make it correct.

16 space space space divided by space space 8 space space plus space space 4 space space cross times space space 2 space space equals space space 1

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1b
Sme Calculator1 mark

16 space space divided by space space 8 space space plus space space 4 space space cross times space space 2 space space equals space space 12

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2
Sme Calculator2 marks

Put one pair of brackets into each calculation to make it correct.

i)
24 space space divided by space space 6 space space plus space space 2 space space cross times space 3 space space equals space space 9
[1]
ii)
24 space space divided by space space 6 space space plus space space 2 space space cross times space space 3 space space equals space space 2
[1]

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3a
Sme Calculator1 mark

Insert one pair of brackets in the following to make the statement correct.

5 space plus space 3 space cross times space 10 space minus space 1 space equals 32

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3b
Sme Calculator1 mark

Insert one pair of brackets in the following to make the statement correct.

3 space cross times space 2 space minus space 4 space minus space 7 space equals space 9

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4
Sme Calculator1 mark

Calculate 18 divided by open parentheses 10 minus 4 close parentheses minus 11 cross times 4 plus 9 open parentheses 6 plus 1 close parentheses

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5
Sme Calculator3 marks

Jamie has incorrectly tried to calculate: 3 cross times 2 cubed plus square root of 25 open parentheses 3 squared cross times 2 plus 3 close parentheses

His working is shown below.

3 cross times 2 cubed plus square root of 25 open parentheses 3 squared cross times 2 plus 3 close parentheses 3 cross times 2 cubed plus square root of 25 open parentheses 40 close parentheses 6 cubed plus 5 open parentheses 40 close parentheses 216 plus 200 416

Identify the two mistakes that have been made, and find the correct final answer.

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1
Sme Calculator1 mark
Insert one pair of brackets into this statement to make it correct.

7   ×   5   –   2   +   3   =   42

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2a
Sme Calculator1 mark

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  cross times  5  =  28

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2b
Sme Calculator1 mark

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  cross times 5  =  60

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3
Sme Calculator1 mark

Insert one pair of brackets to make this statement correct.

4 space space cross times space space 6 space space minus space 2 space space plus space space 1 space space equals space space 17

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4a
Sme Calculator1 mark

Subtract 123 from 1 million.

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4b
Sme Calculator1 mark

Subtract 9 from 2.

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5
Sme Calculator5 marks
i)
Two numbers are added together to give the number in the box immediately above.

q1bi-058033-mayjune2019-cie-igcse-maths-core

Complete the diagram.

[2]

ii)
Two numbers are multiplied together to give the number in the box immediately above.

q1bii-058033-mayjune2019-cie-igcse-maths-core

Complete the diagram.

[3]

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6
Sme Calculator1 mark

Insert one pair of brackets to make this statement correct.

3 space space plus space space 2 space space cross times space space 12 space space minus space space 4 space space equals space space 19

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