Reevy Hill Primary School

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Find percentages of amounts


To access this full lesson follow the link to the BBC Bitesize website. 

Click the link below...



Method 1:

Some percentages can be converted into an equivalent fraction in its lowest form.

For example...


Method 2:

Partitioning the percentage can sometimes be the most efficient way to find the answer. Then you just add up the separate answers

For example:

What is 41% of 500?

Step 1: Partition 41% into 40% and 1%.

Step 2: Find 40% of 500.

To find 40%, find 10% first by dividing by 10, and then multiply it by 4.

500 ÷ 10 = 50

50 x 4 = 200

Step 3: Find 1% of 500.

To find 1%, you need to divide by 100.

500 ÷ 100 = 5

Step 4: Add the two answers together.

200 + 5 = 205

So 41% of 500 = 205


Method 3:

Percentages mean 'out of 100'. So as a fraction, the percentage would become the numerator and the denominator would be 100. This method relies on turning the percentage into a fraction again, but not in its simplest form.

For example:

What is 17% of 70?

Step 1: Convert 17% into a fraction.

17% = ¹⁷⁄₁₀₀

Step 2: Find ¹⁷⁄₁₀₀ of 70.

70 ÷ 100 = 0.7

0.7 x 17 = 11.9

So 17% of 70 = 11.9


Method 4:

Now watch this video from KS2 maths which shows how to calculate a percentage of an amount by working out what 1% is first. Which method do you prefer?

use the website link and find the video that looks like this...

Activity 1:

Prehistoric percentages

Choose the most efficient method to work out these prehistoric percentages.

Click the link to the website and have a go at this activity. 


Activity 2:


Maths of the Day: Pitch percentages

Footballers, fans and commentators use percentages all the time in football. Brush up on your own percentages skills with this short video presented by Gary Lineker from ‘Match of the Day’ and Ben Shires from CBBC ‘Kickabout’.

Make sure you have a pen or pencil and paper ready so you can calculate the answers. You have 30 seconds to answer each question.

click the link to the website and find this activity...

Here's some more practise at finding percentages of amounts.

Have a go at these... (start with work sheet 1)