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Fractions of an Amount

discia.org 10 questions · 30 marks
Name Date
  1. Either paper 2 marks

    Erin wins £200 in a raffle. She gives \(\frac{1}{ 10 }\) of the money to charity.

    Calculate how much she gives to charity.

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    \(\text{£}20\)
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  2. Either paper 2 marks

    Idris earns £45 each week. He saves \(\frac{ 2 }{ 9 }\) of it.

    Calculate how much he saves each week.

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    \(\text{£}10\)
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  3. Either paper 3 marks

    A water tank holds 253 litres of water. \(\frac{ 3 }{ 11 }\) of the water is used.

    (a)

    Work out how many litres of water are used.

    (b)

    Work out how many litres of water are left in the tank.

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    (a) \(69\ \text{litres}\)
    (b) \(184\ \text{litres}\)
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  4. Either paper 4 marks
    (a)

    Yusuf walks for \(\frac{ 1 }{ 12 }\) of an hour on a trail.

    Work out how many minutes that is.

    (b)

    Yusuf cycles for \(\frac{ 1 }{ 6 }\) of a day on a track.

    Work out how many hours that is.

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    (a) \(5\ \text{minutes}\)
    (b) \(4\ \text{hours}\)
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  5. Either paper 3 marks

    A rope is 96 cm long.

    Joel works out \(\frac{ 3 }{ 4 }\) of 96 like this.

    \(96 \div 3 = 32\)

    \(32 \times 4 = 128\)

    (a)

    Explain what Joel has done wrong.

    (b)

    Work out the correct answer.

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    (a) Joel divided by the top of the fraction and multiplied by the bottom. It is the other way round: divide by 4 and multiply by 3.
    (b) \(72\)
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  6. Either paper 3 marks
    Leila has shaded some of the small squares on this centimetre grid.
    (a)

    Work out the percentage of the grid that is shaded.

    (b)

    Leila wants \(\frac{ 3 }{ 10 }\) of the grid to be shaded.

    How many more small squares must she shade?

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    (a) \(20\%\)
    (b) \(4\)
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  7. Either paper 4 marks
    The members of a club are seniors, adults or juniors. Every member is in one of these three groups. Here is a report about the members of the club.
    Type of memberFraction of the members
    Senior\(\frac{ 3 }{ 8 }\)
    Adult\(\frac{ 1 }{ 5 }\)
    Junior\(\frac{ 1 }{ 3 }\)
    (a)

    Give a reason why there must be a mistake in the report.

    (b)

    An adult membership fee is £65.

    A junior membership fee is \(\frac{ 3 }{ 5 }\) of the adult fee.

    Work out the total membership fee for 3 adults and 2 juniors.

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    (a) The fractions add up to \(\frac{ 109 }{ 120 }\), which is less than 1, but every member is in one of the three groups so they should total 1.
    (b) \(\text{£}273\)
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  8. Either paper 3 marks
    The table shows information about two workers on one day.
    Total working time (hours)Working time spent online (minutes)
    Priya8113
    Callum6144
    Priya says she spent more than one quarter of her total working time online. Is Priya correct? Tick a box. ☐ Yes     ☐ No Show working to support your answer.
    Show answer
    No: one quarter of 480 minutes is 120 minutes, and Priya was online for 113 minutes
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  9. Either paper 3 marks

    Amara has saved £48 towards a new bike. This is \(\frac{ 3 }{ 5 }\) of the price of the bike.

    Find the price of the bike.

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    \(\text{£}80\)
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  10. Either paper 3 marks

    A container holds 4.2 litres of juice. Priya pours out \(\frac{ 2 }{ 7 }\) of the juice.

    How many millilitres of juice does she pour out?

    Show answer
    \(1200\ \text{ml}\)
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discia.org Fractions of an Amount · sheet 1
Answers Fractions of an Amount · sheet 1
  1. \(\text{£}20\)
  2. \(\text{£}10\)
  3. (a) \(69\ \text{litres}\)
    (b) \(184\ \text{litres}\)
  4. (a) \(5\ \text{minutes}\)
    (b) \(4\ \text{hours}\)
  5. (a) Joel divided by the top of the fraction and multiplied by the bottom. It is the other way round: divide by 4 and multiply by 3.
    (b) \(72\)
  6. (a) \(20\%\)
    (b) \(4\)
  7. (a) The fractions add up to \(\frac{ 109 }{ 120 }\), which is less than 1, but every member is in one of the three groups so they should total 1.
    (b) \(\text{£}273\)
  8. No: one quarter of 480 minutes is 120 minutes, and Priya was online for 113 minutes
  9. \(\text{£}80\)
  10. \(1200\ \text{ml}\)
discia.org Fractions of an Amount · sheet 1