Practise Solving Decimal and Percentage Problems

In this worksheet, students will solve problems that require knowing the equivalents of certain fractions.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Solve Percentage/Decimal Problems

Difficulty level:

Worksheet Overview

In this activity, we need to try to remember that:

1/10 = 0.1 = 10%

2/10 = 0.2 = 20%

3/10 = 0.3 = 30% etc.

1/25 = 0.04 = 4%

1/50 = 0.02 = 2%

Example 1

Jack has £40 and spends 30% of it.

How much does he have left?

30% = 3/10

First, find 3/10 of £40.

1/10 of £40 = £40 ÷ 10 = £4

So 3/10 of £40 = 3 × £4 = £12.

So Jack spends £12 and has £40 - £12 = £28 left.

Example 2

Which is bigger, 4/10 of £100 or 4% of £1,000?

1/10 of £100 = £100 ÷ 10 = £10

4/10 of £100 = 4 × £10 = £40

4% = 1/25

1/25 of £1,000 = £1,000 ÷ 25 = £40

They are the same.

Let's have a go at some questions now.

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