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IGCSEMathsCambridge (CIE)ExtendedExam QuestionsNumberFractions Toolkit

Fractions Toolkit (Cambridge (CIE) IGCSE Maths: Extended)

Exam Questions

2 hours36 questions
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Medium
Hard
1
Sme Calculator2 marks

Write $24.60 as a fraction of $2870.

Give your answer in its lowest terms.

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2
Sme Calculator2 marks

Work out 7 over 11 of 198 kg.  

........................................... kg

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3
Sme Calculator3 marks

Work out 3 3 over 4 space cross times space 7 over 9 space.

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4a
Sme Calculator1 mark

Work out 1 over 7 cross times 2 over 3.

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4b
Sme Calculator2 marks

Work out 3 over 5 minus 1 third.

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5
Sme Calculator2 marks

Lily's age is 2 years and 4 months.
Hugo’s age is 1 year and 8 months.

Write Lily’s age in months as a fraction of Hugo’s age in months. Give your fraction in its simplest form.

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6
Sme Calculator1 mark

Work out £1.50 as a fraction of 60p

Circle your answer.

2 over 5

1 fourth

4 over 1

5 over 2

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7
Sme Calculator1 mark

Circle the fraction that is equivalent to  3.875

15 over 4

29 over 8

31 over 8

15 over 8

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8
Sme Calculator2 marks

Work out 3 over 4 plus 1 over 6.

Give your answer in its simplest form.

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9
Sme Calculator3 marks

Work out 3 over 5 space plus space 5 over 8.

Give your answer as a mixed number in its simplest form.

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10
Sme Calculator2 marks

Work out 2 over 15 cross times 15 over 22.

Give your answer in its lowest terms.

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11
Sme Calculator3 marks

Work out 5 over 6 plus 2 over 3 space.
You must show all your working and give your answer as a mixed number in its simplest form.

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12
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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1
Sme Calculator4 marks

One month, Gretal spent a total of $360 on presents.

She spent 1 fifth of this total on presents for her parents.

She spent 2 over 3 of the remaining money on presents for her friends. She spent the rest of the money on presents for her sisters.

Calculate the percentage of the $360 that she spent on presents for her sisters.

............................................. % 

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2
Sme Calculator3 marks

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 Calculator4 marks

Work out  2 over 3 plus 1 fourth cross times 2 over 3.

Write down all the steps of your working and give your answer as a fraction in its simplest form.

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4
Sme Calculator2 marks

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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5
Sme Calculator2 marks

Work out  1 over 15 plus 2 over 5.

Write down all the steps of your working and give your answer as a fraction in its simplest form.

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6
Sme Calculator2 marks

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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7
Sme Calculator3 marks

Collette has $136 and spends half of her money on clothes and 1 fifth of her money on books.

Calculate the amount she has left.

$ ...............................................

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8
Sme Calculator2 marks

Work out 2 over 3 minus 1 over 12.

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

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9
Sme Calculator3 marks

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

Work out  2 2 over 3 space plus space 3 1 half

Give your answer as a mixed number in its simplest form.

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2
Sme Calculator3 marks

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

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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4
Sme Calculator3 marks

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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5
Sme Calculator4 marks

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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6
Sme Calculator3 marks

Work out 1 3 over 4 minus 11 over 12.

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

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7
Sme Calculator3 marks

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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8
Sme Calculator3 marks

Work out  1 7 over 12 space plus space 13 over 20.

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

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9
Sme Calculator2 marks

Work out  5 over 16 cross times 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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10
Sme Calculator3 marks

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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11
Sme Calculator3 marks

Work out  2 1 fourth space divided by space 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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12
Sme Calculator4 marks

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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13
Sme Calculator3 marks

Work out  3 over 8 divided by 2 1 fourth.

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

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14
Sme Calculator3 marks

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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15
Sme Calculator3 marks

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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