Fractions, decimals and percentages

Do this without a calculator.

Feb/March 2017

Express the recurring decimal $0.\dot{1}7$ as a fraction. Show all your working.

Feb/March 2017

Without a calculator, find $3\frac{1}{3} \div 2\frac{1}{2}$. Show all your working and state your answer as a mixed number in simplest form.

Feb/March 2017

Express $\frac{2}{5}$ as a percentage.

Feb/March 2018

Without using your calculator, calculate $\frac{7}{8} + \frac{1}{6}$. Show every step of your working and write your answer as a mixed number in simplest form.

Feb/March 2018

Put these numbers into ascending order, starting with the least: 0.55, $\frac{6}{11}$, $54\frac{1}{2}\%$.

Feb/March 2018

Do not use a calculator.

Feb/March 2018

Express the recurring decimal $0.\dot{8}$ as a fraction.

Feb/March 2018

Without a calculator, calculate $3\frac{1}{8} \div \frac{5}{12}$. Show every step of your working and write your answer as a mixed number in simplest form.

Feb/March 2019

Find $3\frac{1}{8} \div \frac{5}{12}$. Show every step of your working and write your answer as a mixed number in its simplest form.

Feb/March 2019

Express the recurring decimal $0.2\dot{3}$ as a fraction.

Feb/March 2019

Write down the fraction of the rectangle that is shaded. Give your answer in its simplest form.

Feb/March 2019

Do not use a calculator to find $\frac{15}{28} \div \frac{4}{7}$. Show all your working and write your answer as a fraction in its simplest form.

Feb/March 2020

Express the recurring decimal $0.\dot{2}6$ as a fraction. Show all your working.

Feb/March 2020

You need to show every step of your working and present your answer as a fraction in simplest form.

Feb/March 2020

Saanvi prepares some biscuits. She sells $\frac{5}{13}$ of them. She is left with 96 biscuits.

Feb/March 2021

Calculate $2\frac{1}{4} \times 3\frac{2}{3}$ without using a calculator. Show all your working, and present your answer as a mixed number in its simplest form.

Feb/March 2021

Without a calculator, calculate $2\frac{1}{4} \times 3\frac{2}{3}$. Show all your steps and write your answer as a mixed number in simplest form.

Feb/March 2021

Write $0.3\dot{7}$ in fraction form.

Feb/March 2021

Show every step of your working and give your answer as a fraction in lowest terms.

Feb/March 2023

Express $0.7$ as a fraction.

Feb/March 2023

Work out $\frac{4}{7} \div 8$!

Feb/March 2023

Work out $1\frac{1}{4} - \frac{5}{6}$ without a calculator. Show all of your working and write your answer as a fraction in simplest form.

Feb/March 2024

Calculate $1\frac{1}{4} - \frac{5}{6}$. Show every step of your working and present your answer as a fraction in simplest form.

Feb/March 2024

Multiplying 19.5 by 20.4 gives 397.8.

Feb/March 2025

Write 0.07 in percentage form.

Feb/March 2025

Calculate $1 \frac{7}{15} - \frac{4}{5}$. Express your answer as a fraction in its simplest form.

Feb/March 2025

Calculate the reciprocal of 0.25.

Feb/March 2025

Work out $\dfrac{5}{9} + 0.2\dot{8}$. Write your answer as a fraction in its simplest form.

Feb/March 2025

Without a calculator, calculate $1\frac{4}{5} \div \frac{3}{7}$. Include all your working and write your answer as a fraction in simplest form.

May/June 2015

Work out, without using a calculator, $\frac{4}{5}\div 2\frac{2}{3}$. Show every stage of your working and give your answer as a fraction in its simplest form.

May/June 2015

Write $64\%$ in decimal form.

May/June 2015

Do not use a calculator to find $1\frac{7}{8} \div \frac{5}{9}$. Include your working, and write your answer as a fraction in its simplest form.

May/June 2015

Calculate $\dfrac{6.4 + 7.3}{19.56 - 3.51}$. Round your answer to $2$ significant figures.

May/June 2015

Write $0.88$ as a fraction in lowest terms.

May/June 2015

Calculate $1\frac{4}{5} \div \frac{3}{7}$. Show all your working, and write your answer as a fraction in its lowest terms.

May/June 2015

Without using a calculator, calculate $\frac{4}{5} \div 2\frac{2}{3}$. Show each stage of your working and give your answer as a fraction in simplest form.

May/June 2015

Express the recurring decimal $0.2\dot{5}$ in fraction form. [$0.2\dot{5}$ denotes $0.2555\ldots$]

May/June 2015

Without a calculator, calculate $1\frac{7}{8} \div \frac{5}{9}$. Show every step of your working and give the answer as a fraction in simplest form.

May/June 2015

Write down two numbers that are factors of 12.

May/June 2015

Without a calculator, calculate $\frac{6}{7} \div 1\frac{2}{3}$. Include your full working and write your answer as a fraction in its simplest form.

May/June 2016

Finish the table. The table contains two columns headed Fraction and Decimal. Row 1: $\frac{1}{2} = 0.5$ Row 2: [blank] $= 0.25$ Row 3: $\frac{3}{10} = [blank]$ Row 4: $\frac{2}{25} = [blank]$

May/June 2016

Work out $2\frac{5}{8} \times \frac{3}{7}$ without a calculator. Include all steps of your working and present your answer as a mixed number in its simplest form.

May/June 2016

Calculate the value of $\dfrac{3.07 + 2^4}{5.03 - 1.79}$

May/June 2016

Calculate $216$ as a percentage of $600$.

May/June 2016

Do not use a calculator. Work out $\dfrac{1}{12} \times 1\dfrac{1}{5}$. Show all your steps, and give the answer as a fraction in lowest terms.

May/June 2016

Calculate the value of $\dfrac{17.85 - 7.96}{18 - 3.5^2}$.

May/June 2016

Without a calculator, work out $\frac{6}{7} \div 1\frac{2}{3}$. Show your full working and express your answer as a fraction in lowest terms.

May/June 2016

[$0.\overline{36}$ represents $0.3666\ldots$]

May/June 2016

Work out $2\frac{5}{8} \times \frac{3}{7}$ without a calculator. Show all of your working, and write your answer as a mixed number in its lowest terms.

May/June 2016

Calculate the value of $\frac{3.07 + 2^4}{5.03 - 1.79}$.

May/June 2016

Without a calculator, calculate $\frac{1}{12}\times1\frac{1}{5}$. Show every step of your working and write your answer as a fraction in its simplest form.

May/June 2016

The notation $0.3\dot{2}$ represents $0.3222\ldots$

May/June 2016

Without a calculator, work out $1\frac{2}{3} + \frac{5}{7}$. Show every stage of your working and give the answer as a mixed number in its simplest form.

May/June 2017

Write $0.03$ in percentage form.

May/June 2017

Without a calculator, work out $\frac{5}{6} - \frac{1}{2}$. Present every stage of your working and write your answer as a fraction in its simplest form.

May/June 2017

Arrange these numbers in ascending order, starting with the smallest: $\frac{7}{22}$, $0.3$, $33\%$, $\frac{1}{3}$.

May/June 2017

Express 16% as a decimal.

May/June 2017

Work out $1\frac{2}{3} + \frac{5}{7}$ without using a calculator. Show every stage of your working and give your answer as a mixed number in simplest form.

May/June 2017

Calculate $\frac{5}{6} - \frac{1}{2}$ without using a calculator. Show every stage of your working and give your answer as a fraction in its simplest form.

May/June 2017

Write the recurring decimal $0.\dot{6}\dot{3}$ as a fraction in lowest terms, and show all your working.

May/June 2017

Calculate $\frac{11}{12} - \left(\frac{3}{4} - \frac{2}{3}\right)$ without using your calculator. You must show all your working and express your answer as a fraction in its simplest form.

May/June 2017

State 0.007 as a fraction.

May/June 2018

Work out $1\frac{3}{4} \times \frac{6}{35}$ without using a calculator. Show all your working, and give your answer as a fraction in its simplest form.

May/June 2018

Without a calculator, calculate the following. Show every step of your working and write each answer as a fraction in its simplest form.

May/June 2018

Express $75\%$ as a fraction in simplest terms.

May/June 2018

Work out $\dfrac{2}{3} \div \dfrac{1}{5}$ without a calculator. Show every step of your working, and write the result as a fraction in simplest form.

May/June 2018

Without a calculator, determine $1\frac{3}{4} \times \frac{6}{35}$. Show every step of your working and present your answer as a fraction in simplest form.

May/June 2018

Express the recurring decimal $0.6\dot{3}$ as a fraction.

May/June 2018

Work out $\frac{2}{3}-\frac{1}{12}$. Show all of your working, and present your answer as a fraction in simplest form.

May/June 2018

Work out $\frac{2}{3} \div 1\frac{1}{5}$ without using a calculator. Show all of your working and give your answer as a fraction in its simplest form.

May/June 2018

Write $\frac{3}{4}$ in decimal form.

May/June 2019

Without a calculator, calculate $\frac{5}{6} + \frac{2}{3}$. Show every step of your working and present your answer as a mixed number in its lowest terms.

May/June 2019

Without a calculator, work out $2\frac{1}{4} \div \frac{3}{7}$. Show every step of your working and give your answer as a mixed number in its simplest form.

May/June 2019

Without a calculator, calculate $\frac{12}{35} \times \frac{7}{9}$. Show every step of your working and express your answer as a fraction in its lowest terms.

May/June 2019

Convert 0.45 into a fraction in its simplest form.

May/June 2019

Without a calculator, calculate $\frac{5}{6} + \frac{2}{3}$. Show every step of your working and write your answer as a mixed number in its simplest form.

May/June 2019

Write the recurring decimal $0.4\dot{7}$ in fraction form. Show all your working.

May/June 2019

Without a calculator, work out $2\frac{1}{4} \div \frac{3}{7}$. You must show every step of your working and give your answer as a mixed number in its simplest form.

May/June 2019

Write the recurring decimal $0.\dot{7}$ in fraction form.

May/June 2019

Giulio’s reaction times are recorded 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.

May/June 2019

Do not use a calculator.

May/June 2019

Write $26\%$ in decimal form.

May/June 2019

Write this number in figures. One million three hundred and two thousand five hundred and ninety-six.

May/June 2019

Without a calculator, calculate $1\frac{3}{8}-\frac{5}{6}$. Show every step of your working and write your answer as a fraction in simplest form.

May/June 2021

State the value of $\sqrt{225}$.

May/June 2021

Without a calculator, calculate $\frac{2}{3} \div 1\frac{3}{7}$. Show every step of your working, and write your answer as a fraction in simplest form.

May/June 2021

Work out $1\frac{2}{3} \div 7\frac{1}{2}$ without using a calculator. Show every step of your working and present your answer as a fraction in simplest form.

May/June 2021

Write $72\%$ as a fraction in its simplest form.

May/June 2021

Without using a calculator, calculate $1\frac{3}{8} \div \frac{5}{6}$. Show all of your working and present your answer as a fraction in its simplest form.

May/June 2021

Write $0.0\dot{4}$ as a fraction in lowest terms.

May/June 2021

Without a calculator, calculate $\frac{2}{3} \div 1\frac{3}{7}$. Show every stage of your working, and write your answer as a fraction in simplest form.

May/June 2021

Write $72\%$ as a fraction in its simplest form.

May/June 2021

Without a calculator, calculate $\frac{2}{3} \div 7\frac{1}{2}$. Show all of your working and write your answer as a fraction in simplest form.

May/June 2021

Circle the fraction that is equal to $\frac{7}{12}$. The fractions displayed are $\frac{35}{62}$, $\frac{20}{36}$, $\frac{49}{84}$, $\frac{82}{144}$ and $\frac{64}{110}$.

May/June 2021

Without a calculator, calculate $\frac{3}{7} - \frac{2}{21}$. Show every stage of your working and write your answer as a fraction in lowest terms.

May/June 2022

Do not use a calculator to find $4\frac{1}{8} - 2\frac{5}{6}$. Show all your working clearly, and write your answer as a mixed number in its simplest form.

May/June 2022

Arania’s approach for dividing 213 by $12\frac{1}{2}$ without using a calculator is shown here. $213 \div 12\frac{1}{2} = 426 \div 25$ $= 852 \div 50$ $= 1704 \div 100$ $= 17.04$

May/June 2022

No calculator is to be used.

May/June 2022

Calculate $\dfrac{1 - 0.7}{0.45 - 0.38}$, and express your answer correct to 4 significant figures.

May/June 2022