Fractions (Edexcel IGCSE Maths): Exam Questions

Show that $\frac{1}{7}\times\frac{2}{3}$ is equal to $\frac{2}{21}$

Show that $\frac{3}{5}-\frac{1}{3}$ is equal to $\frac{4}{15}$

Show that $3\frac{3}{4}\times\frac{7}{9}=2\frac{11}{12}$

Work out £1.50 as a fraction of 60p

Circle your answer.

Circle the fraction that is equivalent to $3.875$

Write $24.60 as a fraction of $2870.

Give your answer in its lowest terms.

Work out $\frac{7}{11}$ of 198 kg.

........................................... kg

Show that $1\frac{1}{5}\times2\frac{1}{3}=2\frac{4}{5}$

Show that $2\frac{7}{15}-1\frac{2}{3}=\frac{4}{5}$

Show that $2\frac{1}{7}+1\frac{1}{4}=3\frac{11}{28}$

Show that $1\frac{1}{5}\div\frac{3}{4}=1\frac{3}{5}$

Show that $3\frac{1}{2}\times1\frac{3}{5}=5\frac{3}{5}$

Show that $6\frac{3}{4}\div2\frac{4}{7}=2\frac{5}{8}$

Show that $3\frac{1}{5}\times1\frac{5}{6}=5\frac{13}{15}$

Show that $2\frac{4}{7}\div1\frac{1}{8}=2\frac{2}{7}$

Show that $4\frac{2}{3}+3\frac{4}{5}=8\frac{7}{15}$

Show that $3\frac{1}{5}\times2\frac{5}{8}=8\frac{2}{5}$

Show that $4\frac{2}{3}\div1\frac{1}{9}=4\frac{1}{5}$

Show that $3\frac{4}{7}-1\frac{5}{8}=1\frac{53}{56}$

Circle the number half way between $\frac{7}{12}$ and $\frac{3}{4}$

In a school, $\frac{2}{3}$ of the students study a language.

Of those students who study a language, $\frac{2}{5}$ study Spanish.

Find the ratio of students who study Spanish to students who do not study Spanish.

A unit fraction has a numerator equal to 1, for example $\frac{1}{3},\frac{1}{7}$ and $\frac{1}{25}$.

Unit fractions can be written as the sum of two different unit fractions, for example

$\frac{1}{2}=\frac{1}{3}+\frac{1}{6}$

Write each of the following unit fractions as the sum of two different unit fractions.

$1 \frac{1}{4} = \frac{1}{square} + \frac{1}{square}$

$1 \frac{1}{5} = \frac{1}{square} + \frac{1}{square}$

$\frac{1}{6} = \frac{1}{square} + \frac{1}{square}$

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

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

Without using a calculator, work out $\frac{2}{3}+\frac{1}{4}\times\frac{2}{3}$. Write down all the steps of your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $\frac{5}{6}+\frac{2}{3}.$ You must show all your working and give your answer as a mixed number in its simplest form.

Giulio’s reaction times are measured in two games. In the first game his reaction time is $\frac{1}{3}$ of a second. In the second game his reaction time is $\frac{1}{8}$ of a second.

Find the difference between the two reaction times.

.................................................. s

Without using a calculator, work out $\frac{12}{35}\times\frac{7}{9}$. You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $\frac{1}{15}+\frac{2}{5}$. Write down all the steps of your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out $\frac{1}{4}\div\frac{2}{3}$. You must show all your working and give your answer as a fraction.

Collette has $136 and spends half of her money on clothes and $\frac{1}{5}$ of her money on books.

Calculate the amount she has left.

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

Without using your calculator, work out $\frac{2}{3}-\frac{1}{12}$.

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

Without using your calculator, work out $\frac{7}{8}+\frac{1}{6}$.

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

Show that $4\frac{2}{3}\div1\frac{1}{5}=3\frac{8}{9}$

Show that $3\frac{3}{7}\div2\frac{2}{3}=1\frac{2}{7}$

Show that $2\frac{1}{4}\times3\frac{1}{3}=7\frac{1}{2}$

Write the numbers 3, 4, 5 and 6 in the boxes to give the greatest possible total.

You may write each number only once.

Show that $1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}$

There are $60$ children in a club.

In the club, the ratio of the number of girls to the number of boys is $3:1$

$\frac{3}{5}$ of the girls play a musical instrument.

$\frac{4}{5}$ of the boys play a musical instrument.

What fraction of the $60$ children play a musical instrument?

Show that $5\frac{2}{3}-2\frac{3}{4}=2\frac{11}{12}$

Each month Edna spends all her income on rent, on travel and on other living expenses.

She spends $\frac{1}{3}$ of her income on rent.

She spends $\frac{1}{5}$ of her income on travel.

She spends $ 420 of her income on other living expenses.

Work out her income each month.

A ball is thrown from a height of 15 metres.

It bounces to height $h_{1}$, then to height $h_{2}$ as shown.

$h_{1}$ is three quarters of the original height.

Jack expects $h_{2}$ to be three quarters of $h_{1}$

Work out the value of $h_{2}$ that he expects.

.........................metres

In fact, $h_{2}$ is two thirds of $h_{1}$

How does this affect the answer to part (a)? Tick a box.

square The ball bounced higher than he expected

square The ball bounced lower than he expected

Show working to support your answer.

Without using a calculator, work out $\frac{5}{6}\div1\frac{1}{3}$.

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

Without using a calculator, work out $2\frac{2}{3}\times2\frac{3}{4}$.

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

Without using a calculator, work out $1\frac{1}{7}\times2\frac{1}{10}$.

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

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

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

Without using a calculator, work out $1\frac{3}{4}-\frac{11}{12}.$ You must show all your working and give your answer as a fraction in its simplest form.

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

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

Without using 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 $\frac{5}{16}\times1\frac{1}{7}$.

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

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

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

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

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

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

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

Without using your calculator, work out $\frac{3}{8}\div2\frac{1}{4}$.

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

Without using your calculator, work out $1\frac{3}{4}\times\frac{6}{35}$.

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

Without using a calculator, work out $\frac{2}{3}\div1\frac{1}{5}$.

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