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
At a cinema one evening, $\dfrac{3}{5}$ of the tickets sold were adult tickets.

$\dfrac{2}{3}$ of the adult tickets were sold online.

348 adult tickets were sold online.

How many tickets were sold in total that evening?
Level 5 · 3 marksTry it
2
At a sports club, $\dfrac{2}{5}$ of the members are juniors.

$\dfrac{3}{4}$ of the remaining members are seniors, and the rest are coaches.

There are $45$ coaches.

(a) Show that $\dfrac{3}{20}$ of the members are coaches.

(b) Work out the total number of members.
Level 5 · 5 marksTry it