# Year 6

#### FREE maths resources for all

Year 6 Menu

### We can calculate percentages of whole numbers

##### Year 6 Unit 12

#### 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.

#### Good questions to ask:

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%?

#### If your child:

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.

##### Extension Activity

Please use this activity when you think your child understands the unit of work. It will deepen and extend your child’s understanding of this unit.