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# Year 6

### We can calculate percentages of whole numbers

#### What we are learning:

• We are learning to find the percentage of a number or a group of objects, without a calculator, and then with a calculator.
• Percentages are all around us, especially when we go shopping, but also in the news too.
• The link to work on fractions is essential to understanding percentages.
Remember that 1% = 1/100 (one hundredth, or one part out of a hundred)
Therefore 100% is 100/100 (one hundred parts out of a hundred, or the ‘whole’)
If we said that 100% of fans were wearing blue scarves then every single one of them would be wearing a blue scarf! If we said that in the Sale there was a 100% reduction in price, then we would not pay anything for the goods!
• To find a percentage of a whole number we can divide it by 100 and then multiply the answer by the percentage that we want.
• 12% of £50 can be calculated as follows:
£50 ÷ 100 = £0.50 (which is 1%)
£0.50 x 12 = £6.00 (which is 12 % of £50)
• If we have a calculator the process is even faster.
• The keys we need to use for the same calculation are:
50 x 12%
this will give us the same answer, 6.0 or £6 in this case.
If we want to calculate 35% of 700 we use the keys:
700 x 35% and the answer displayed will be 245
We could get to the same answer on paper by working out:
700 ÷ 100 x 35

#### Activities you can do at home:

Look for the use of percentages all around you in shops, in newspapers, on television, on the radio.
Have a go at the Activity sheet, and if you are confident try the Extension Activity.

Why do you think we use percentages so much?
Would a sale with 50% off be better than one with 20% off the price? Why?
What fraction is the same as 50%?
What fraction is the same as 25%?

Can calculate percentages but is not sure what they mean
Talk about percentages in real life a lot.
Look at what VAT as a percentage does to different prices, from less expensive objects to very expensive objects.
Look at sale prices to see how much you are saving as a result of the percentage taken off.

##### ACTIVITY SHEETS

Activity sheet PDF