Fractions (OCR GCSE Maths: Foundation): Exam Questions

i) Write down a fraction equivalent to

[1]

ii) Find a fraction that is greater than  but less than .

[1]

There are 12 brass instruments in an orchestra.

 are trumpets, 3 are trombones and the remainder are horns.

Find the number of horns.

Records show that 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  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 

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

Without using a calculator, work out 

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

Without using your calculator, work out 

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

Without using a calculator, work out .

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

Without using a calculator, work out .

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

Without using a calculator, work out 

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

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 of the $600 on a coat and gives  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  of the prize.

Work out the value of the prize.

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

Find a fraction that makes this statement true.

A car park has 880 spaces.

At 0600 one morning,  of the 880 spaces are filled.

By 0630, no cars have left the car park but another  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 

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

Without using a calculator, work out 

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

Without using a calculator, work out .

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

Without using a calculator, work out .

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

Without using a calculator, work out .

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

Without using a calculator, work out  .

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

Without using a calculator, work out 

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