Fractions of an Amount worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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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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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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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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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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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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3 marks
Erin has saved £20 towards a new bike. This is \(\frac{ 5 }{ 6 }\) of the price of the bike.
Work out the price of the bike.
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3 marks
A container holds 4 litres of juice. Yusuf pours out \(\frac{ 7 }{ 8 }\) of the juice.
How many millilitres of juice does he pour out?
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4 marks
Which amount is bigger?
You must show your working.
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6 marks
(a)
A tank holds 112 litres. It is increased by \(\frac{ 1 }{ 4 }\) of itself.
Work out the new value.
(b)A second tank holds 56 litres. It is decreased by \(\frac{ 3 }{ 4 }\) of itself.
Work out the new value.
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5 marks
A delivery of 720 kg is shared between Hafsa, Hafsa's brother and the village hall.
\(\frac{ 5 }{12}\) goes to Hafsa and \(\frac{ 1 }{20}\) goes to Hafsa's brother. The rest goes to the village hall.
(a)Work out how many kg Hafsa receives.
(b)Work out how many kg go to the village hall.
Answers
- \(\text{£}20\)
- \(\text{£}10\)
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(a) \(69\ \text{litres}\)
(b) \(184\ \text{litres}\) -
(a) \(5\ \text{minutes}\)
(b) \(4\ \text{hours}\) -
(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) \(72\) - \(\text{£}24\)
- \(3500\ \text{ml}\)
- the second, at 75 litres against 30 litres
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(a) \(140\ \text{litres}\)
(b) \(14\ \text{litres}\) -
(a) \(300\ \text{kg}\)
(b) \(384\ \text{kg}\)