Fractions (Edexcel GCSE Maths)

Exam Questions

2 hours38 questions
1a
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1 mark

Work out  1 over 7 space cross times space 2 over 3

1b
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2 marks

Work out  3 over 5 space minus space 1 third

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2
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3 marks

Show that  3 3 over 4 space cross times space 7 over 9 space equals 2 11 over 12

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3
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2 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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4
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2 marks

3 over 5 of a number is 162

Work out the number.

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5
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1 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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6
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1 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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7
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3 marks

The height of Zak is 1.86 metres.

The height of Fred is 1.6 metres.

Write the height of Zak as a fraction of the height of Fred.

Give your answer in its simplest form.

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8
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2 marks

Work out

3 over 4 space plus space 1 over 6

Give your answer in its simplest form.

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9
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3 marks

Calculate

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
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2 marks

Work out 2 over 15 space cross times space 15 over 22

Give your answer in its lowest terms.

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1a
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3 marks

Work out  1 1 fifth space cross times space 2 1 third

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

1b
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3 marks

Work out  2 7 over 15 space minus space 1 2 over 3

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2a
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2 marks

Work out  2 1 over 7 space plus space 1 1 fourth

2b
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2 marks

Work out  1 begin inline style 1 fifth end style space divided by space 3 over 4

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

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3
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3 marks

Work out  3 1 half space cross times space 1 3 over 5
Give your answer as a mixed number in its simplest form.

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4
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3 marks

Show that  6 3 over 4 space divided by space 2 4 over 7 space equals space 2 5 over 8

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5
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3 marks

Show that   3 1 fifth space cross times space 1 5 over 6 space equals space 5 13 over 15

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6
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3 marks

Show that  2 4 over 7 space divided by space 1 1 over 8 space equals space 2 2 over 7

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7
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3 marks

Show that  4 begin inline style 2 over 3 end style space plus space 3 begin inline style 4 over 5 end style space equals space 8 begin inline style 7 over 15 end style

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8
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3 marks

Show that   3 1 fifth space cross times space 2 5 over 8 space equals space 8 2 over 5

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9
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3 marks

Show that  4 2 over 3 divided by 1 1 over 9 equals 4 1 fifth

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10
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3 marks

Show that  3 4 over 7 space minus space 1 5 over 8 space equals space 1 53 over 56

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11
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3 marks

The range of a set of numbers is 15 begin inline style 1 fourth end style
The smallest number is – 2 7 over 8
Work out the largest number.

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12
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1 mark

Circle the number half way between  7 over 12 and 3 over 4

7 over 32 5 over 8 2 over 3 1 half

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13
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1 mark

Work out the value of  open parentheses 1 2 over 3 close parentheses squared

Circle your answer.

1 4 over 9 3 1 third 2 4 over 9 2 7 over 9

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14
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4 marks

Work out  8 1 half space divided by space 2 2 over 3

Give your answer as a mixed number.

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15
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3 marks

Work out  2 3 over 4 space cross times 1 5 over 7

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

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16
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3 marks

In a school, 2 over 3 of the students study a language.
Of those students who study a language, 2 over 5 study Spanish.

Find the ratio of students who study Spanish to students who do not study Spanish.

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17
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3 marks

A unit fraction has a numerator equal to 1, for example 1 third space comma space 1 over 7 and 1 over 25.

Unit fractions can be written as the sum of two different unit fractions, for example

1 half equals 1 third plus 1 over 6

Write each of the following unit fractions as the sum of two different unit fractions.

1 fourth space equals space 1 over square space plus space 1 over square

1 fifth space equals space 1 over square space plus space 1 over square

1 over 6 space equals space 1 over square space plus space 1 over square

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1a
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3 marks

Work out  2 1 fourth space cross times space 3 1 third

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

1b
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1 mark

Write the numbers 3, 4, 5 and 6 in the boxes to give the greatest possible total.

You may write each number only once.

q1b-1-4-hard-edexcel-gcse-physics

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2
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3 marks

Show that 1 2 over 3 space plus space 2 3 over 4 space equals space 4 5 over 12

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3
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4 marks

There are 60 children in a club.

In the club, the ratio of the number of girls to the number of boys is 3 colon 1

3 over 5 of the girls play a musical instrument.

4 over 5 of the boys play a musical instrument.

What fraction of the 60 children play a musical instrument?

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4
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3 marks

Show that 5 2 over 3 space minus space 2 3 over 4 space equals space 2 11 over 12

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5
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4 marks

Each month Edna spends all her income on rent, on travel and on other living expenses.

She spends 1 third of her income on rent.

She spends 1 fifth of her income on travel.

She spends $ 420 of her income on other living expenses.

Work out her income each month.

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6
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3 marks

A shopkeeper compares the income from sales of a laptop in March and April.

April

Price 1 fifth more than March
Number sold 1 fourth less than March

By what fraction does the income from these sales decrease in April?

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7a
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2 marks

A ball is thrown from a height of 15 metres.

It bounces to height h subscript 1, then to height h subscript 2 as shown.

q14-paper2h-nov2017-aqa-gcse-maths

h subscript 1 is three quarters of the original height.

Jack expects space h subscript 2 space end subscript to be three quarters of h subscript 1

Work out the value of h subscript 2 that he expects.

.........................metres

7b
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2 marks

In fact, h subscript 2 is two thirds of h subscript 1

How does this affect the answer to part (a)?
Tick a box.

square      The ball bounced higher than he expected

square        The ball bounced lower than he expected

Show working to support your answer.

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8
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4 marks

In an office there are twice as many females as males.

1 fourth of the females wear glasses.

 3 over 8 of the males wear glasses.

84 people in the office wear glasses.

Work out the number of people in the office.

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9
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6 marks

Charlie and Jasmine share cartons of apple juice.

Charlie drinks 1 third of a carton every day.

Jasmine drinks 2 over 5 of a carton every day.

Any apple juice left in a carton at the end of the day is used the following day.

The cost of a carton is 70p.
Charlie and Jasmine buy just enough cartons to last them for 10 days.

How much do they spend in total for these cartons?
Give your answer in £.
Show your working.

£ .......................................................

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10
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5 marks

Mrs Mills buys 4 packs of treats for her cats, Fluff and Tigger.
She gives Fluff 1 over 6 of a pack each day.

She gives Tigger 1 fifth of a pack each day.

For how many complete days will the 4 packs of treats last?

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11
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4 marks

Sally has 30 feet of ribbon.

She cuts strips each of length  2 begin inline style 2 over 5 end style feet from the ribbon.

Sally says

      I can cut 13 of these strips from this ribbon.

Is she correct?
Show how you decide.

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