Key Stage 3 (KS3) · Mathematics

Fractions, Decimals and Percentages: Practice Questions

4 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Fractions, Decimals and Percentages.

9 questions24 marksFree, no account

Question 1

1 mark

Convert the fraction \( \frac{7}{8} \) into a percentage.

Question 2

1 mark

In a school of 800 students, \( 35\% \) of them wear glasses. How many students do not wear glasses?

Question 3

1 mark

Convert the decimal \( 0.325 \) into a fraction in its simplest form.

Question 4

1 mark

If \( 15\% \) of a number is 45, what is the number?

Question 5

2 marks

Convert \( 0.125 \) into a fraction in its simplest form and a percentage.

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Question 6

3 marks

A student scored 18 out of 25 in a test. Express this score as a percentage and find how many more marks are needed to reach \( 80\% \).

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Question 7

5 marks

The price of a jacket is first increased by \( 20\% \) and then decreased by \( 15\% \) during a sale. If the final price of the jacket is \( \$612 \), find its original price.

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Question 8

4 marks

A rectangular plot of land has a length of \(24\frac{1}{2}\) meters and a width of \(10.4\) meters.
(a) Express the width as a fraction in its simplest form.
(b) Calculate the area of the plot in square meters, giving your answer as a decimal.

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Question 9

6 marks

The total price of a laptop is \$8000. A customer pays a deposit of 25% and the remaining balance is paid in 12 equal monthly installments.
(a) Calculate the amount of the deposit.
(b) Calculate the amount of each monthly installment.
(c) If the shop increases the total price by 15%, and the deposit percentage remains 25%, how much more will the new deposit be compared to the original one?

Write your answer out first, then check it against the worked solution.

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