Fractions (AQA GCSE Maths: Foundation): Exam Questions

i) Write down a fraction equivalent to $\frac{1}{15}$

[1]

ii) Find a fraction that is greater than $\frac{1}{15}$ but less than $\frac{2}{15}$.

[1]

There are 12 brass instruments in an orchestra.

$\frac{1}{3}$ are trumpets, 3 are trombones and the remainder are horns.

Find the number of horns.

Records show that $\frac{3}{14}$ of the population of a particular type of fish, called mullet, caught are underweight.

In one day, 168 mullet are caught.

Work out the expected number of mullet that are underweight.

Nora makes a birthday cake.

Nora has a packet containing 250g of cherries.

She uses $\frac{7}{10}$ of the cherries in the cake.

Find the mass of cherries she has left.

............................... g

Georgiana is travelling by train from Redtown to Teignley.

The price of a ticket is $13.50.
Georgiana’s ticket price is reduced by one-third because she is a student.

Work out how much she pays for her ticket.

$ ............................. 

Without using a calculator, work out $1{\displaystyle \frac{3}{4}}-\frac{11}{12}.$

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $\frac{15}{28}÷\frac{4}{7}$

You must show all your working and give your answer as a fraction in its simplest form.

Without using your calculator, work out $1\frac{7}{12}+\frac{13}{20}$

You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out $\frac{5}{16}\times 1\frac{1}{7}$.

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $2\frac{1}{3}+\frac{4}{5}$.

You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out $2\frac{1}{4}÷\frac{3}{7}$

You must show all your working and give your answer as a mixed number in its simplest form.

Work out $\frac{2}{5}+\frac{3}{7}$

A fuel tank holds 52 litres when full.
The tank is a quarter full.
Jim fills the tank with fuel that costs $2.18 per litre.

Work out how much Jim pays.

$ ................................................. 

Saskia has $600.
She spends $\frac{1}{5}$ of the $600 on a coat and gives $\frac{1}{3}$ of the $600 to her son.

What fraction of the $600 does she have left?
Give your answer in its simplest form.

Jeff and his friends win a prize.
Jeff’s share is $160 which is ${\displaystyle \frac{5}{11}}$ of the prize.

Work out the value of the prize.

$ ..............................................

Find a fraction that makes this statement true.

$\frac{7}{9}<\frac{................}{................}<\frac{8}{9}$

A car park has 880 spaces.

At 06:00 one morning, $\frac{1}{40}$ of the 880 spaces are filled.

By 06:30, no cars have left the car park but another $\frac{1}{5}$ of the 880 spaces are filled.

Work out the fraction of the 880 spaces that are empty at 06:30.

Without using a calculator, work out $2\frac{2}{3}\times 2\frac{3}{4}.$

You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out $\frac{5}{6}÷1\frac{1}{3}$

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $1\frac{1}{7}\times 2\frac{1}{10}$.

You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out $\left(2\frac{1}{3}-\frac{7}{8}\right)\times \frac{6}{25}$.

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $3\frac{1}{4}-2\frac{2}{3}$.

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out  $3\frac{5}{8}-1\frac{2}{3}$.

You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out  $3\frac{1}{8}÷\frac{5}{12}.$

You must show all your working and give your answer as a mixed number in its simplest form.