GCSE · Fractions & decimals

Fractions of amountsExam-style questions

Why "of" means multiply, why the base matters when a problem says "of the remainder", and how to reverse from a fractional part back to the whole.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Lena is paid £540.

She puts $\dfrac{2}{9}$ of the £540 into savings.

She then spends $\dfrac{3}{7}$ of the remainder on rent.

How much of the £540 does Lena have left?
Level 4 · 3 marksTry it
2
$\dfrac{3}{8}$ of a number is 96.

(a) Find the number.

(b) Find $\dfrac{5}{8}$ of the number.
Level 4 · 3 marksTry it
3
Write 35 minutes as a fraction of $2\tfrac{1}{2}$ hours.

Give your answer in its simplest form.
Level 4 · 2 marksTry it
4
Keira spends $\dfrac{5}{8}$ of her money on a coat.

She has £ $48.60$ left.

How much money did she have to start with?
Level 4 · 3 marksTry it
5
A plank of wood is $2.4$ m long.

A carpenter cuts off $\dfrac{5}{12}$ of the plank.

(a) Work out the length that is cut off. Give your answer in metres.

(b) Work out the length that remains. Give your answer in metres.
Level 4 · 3 marksTry it