IGCSEMaths: CoreCIEExam QuestionsNumberOperations with Fractions

Syllabus Edition

First teaching 2021

Last exams 2024

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Operations with Fractions (CIE IGCSE Maths: Core)

Exam Questions

1 hour25 questions
Easy
Medium
Hard
1
Sme Calculator3 marks

Without using a calculator, work out  5 over 6 plus 2 over 3

You must show all your working and give your answer as a mixed number in its simplest form.

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2
Sme Calculator1 mark

Giulio’s reaction times are measured in two games.
In the first game his reaction time is 1 third of a second.
In the second game his reaction time is 1 over 8 of a second.

Find the difference between the two reaction times.

............................. s 

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3
Sme Calculator2 marks

Without using a calculator, work out 12 over 35 cross times 7 over 9.

You must show all your working and give your answer as a fraction in its simplest form.

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4a
Sme Calculator1 mark

Write down a fraction that completes this calculation.

13 over 11 cross times fraction numerator.............. over denominator.............. end fraction equals 1

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4b
Sme Calculator1 mark

Find a fraction that makes this statement true.

7 over 9 less than fraction numerator................ over denominator................ end fraction less than 8 over 9

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4c
Sme Calculator2 marks

Write these numbers in order, starting with the smallest.

5.7 space cross times space 10 to the power of negative 1 end exponent space space space space space space space space space space space space space space space space space space space space 4 over 7 space space space space space space space space space space space space space space space space space space space space square root of 0.33 end root space space space space space space space space space space space space space space space space space space space 57.2 percent sign

................ less than ................ less than ................ less than ................. 
   smallest                                                                      

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5
Sme Calculator2 marks

Without using a calculator, work out 1 fourth divided by 2 over 3.

You must show all your working and give your answer as a fraction.

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6
Sme Calculator2 marks

Without using your calculator, work out the following.
You must show all your working and give each answer as a fraction in its simplest form.

2 over 3 minus 1 over 12

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7
Sme Calculator3 marks

Without using your calculator, work out 7 over 8 plus 1 over 6.

You must show all your working and give your answer as a mixed number in its simplest form.

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1
Sme Calculator3 marks

Without using a calculator, work out 1 3 over 4 space minus space 11 over 12.

You must show all your working and give your answer as a fraction in its simplest form.

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2
Sme Calculator3 marks

Without using a calculator, work out 15 over 28 divided by 4 over 7

You must show all your working and give your answer as a fraction in its simplest form.

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3
Sme Calculator3 marks

Without using your calculator, work out 1 begin inline style 7 over 12 end style plus begin inline style 13 over 20 end style

You must show all your working and give your answer as a mixed number in its simplest form.

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4
Sme Calculator2 marks

Without using a calculator, work out 5 over 16 space cross times space 1 1 over 7.

You must show all your working and give your answer as a fraction in its simplest form.

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5
Sme Calculator3 marks

Without using a calculator, work out 2 begin inline style 1 third end style plus begin inline style 4 over 5 end style.

You must show all your working and give your answer as a mixed number in its simplest form.

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6
Sme Calculator3 marks

Without using a calculator, work out 2 1 fourth divided by 3 over 7

You must show all your working and give your answer as a mixed number in its simplest form.

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7
Sme Calculator3 marks

Without using your calculator, work out 3 over 8 space divided by space 2 1 fourth

You must show all your working and give your answer as a fraction in its simplest form.

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8
Sme Calculator3 marks

Without using a calculator, work out 1 3 over 4 space cross times space 1 2 over 7.

Show all your working and give your answer as a mixed number in its simplest form.

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9
Sme Calculator3 marks

Without using your calculator, work out 1 3 over 4 cross times 6 over 35.

You must show all your working and give your answer as a fraction in its simplest form.

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1
Sme Calculator3 marks

Without using a calculator, work out 2 2 over 3 cross times 2 3 over 4.

You must show all your working and give your answer as a mixed number in its simplest form.

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2
Sme Calculator3 marks

Without using a calculator, work out 5 over 6 divided by 1 1 third

You must show all your working and give your answer as a fraction in its simplest form.

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3
Sme Calculator3 marks

Without using a calculator, work out 1 1 over 7 cross times 2 1 over 10.

You must show all your working and give your answer as a mixed number in its simplest form.

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4
Sme Calculator4 marks

Without using a calculator, work out open parentheses 2 1 third minus 7 over 8 close parentheses cross times 6 over 25.

You must show all your working and give your answer as a fraction in its simplest form.

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5
Sme Calculator3 marks

Without using a calculator, work out 3 1 fourth minus 2 2 over 3.

You must show all your working and give your answer as a fraction in its simplest form.

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6
Sme Calculator3 marks

Without using a calculator, work out 3 5 over 8 minus 1 2 over 3

You must show all your working and give your answer as a mixed number in its simplest form.

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7
Sme Calculator4 marks

Without using a calculator, work out  3 1 over 8 divided by 5 over 12.

You must show all your working and give your answer as a mixed number in its simplest form.

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8
Sme Calculator3 marks

Without using your calculator, work out the following.
You must show all your working and give each answer as a fraction in its simplest form.

3 3 over 7 space divided by space 4 5 over 14

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9
Sme Calculator3 marks

Without using a calculator, work out 2 over 3 divided by 1 1 fifth.

You must show all your working and give your answer as a fraction in its simplest form.

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