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Solve Percentage and Decimal Problems

In this worksheet, students will be asked to solve worded problems using their knowledge of fractions, decimals and percentages.

'Solve Percentage and Decimal Problems' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Solve Percentage/Decimal Problems

Popular topics:   Place Value worksheets

Difficulty level:  

Worksheet Overview

In this activity, you will be asked to solve a range of questions using your knowledge of fractions, decimals and percentages.

Here are some examples that will help you with the activity.


Example 1:

Write the decimal number 0.456 in expanded form


Answer 1:

Expanded form means to partition a number to see the place value of each digit clearly.

Because we are using a decimal number, we will write its expanded form using fractions.

0.456 = 4/10 + 5/100 + 6/1000


Example 2:

Francesca has completed 140 questions out of 200 in a huge quiz!

What is this as a decimal number?

Answer 2:

Step 1:

Convert the numbers to a fraction: 140/200 

Step 2:

Next, to convert a fraction into a decimal number, you need to divide the numerator by the denominator.

It's easiest to use a calculator or you can use the written method of long division.

140 ÷ 200 = 0.7

Francesca has completed 0.7 of her quiz.


Example 3:

Wayne has £85 from his savings.

He spends 1/5 buying a present for his Dad.

He then spends 30% on a football ticket.

How much money does he have left?


Answer 3:

Step 1: Find 1/5 of £85

85 ÷ 5 = £17

Wayne has spent £17 on a present for his Dad.


Step 2: Find 30% of £85

First find 10%

£85 ÷ 10 =£8.5

10% = £8.50

30% = £8.50 x 3

= £25.50


Step 3: Add both amounts together

£25.50 + £17 = £42.50


Step 4: Subtract the total spent from the original amount

£85 - £42.50 = £42.50

Wayne has £42.50 left.

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