In Your Head 1

1
10%50%25%15%
£16
£22
£70
£5.40
£25.50
£80.40

Copy and complete this table in the back of your exercise book.
No calculator allowed!

 


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Topics: Starter | Percentages

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  • This is a popular starter (as can be seen from the score below) and rightly so. It doesn't have the intrigue of some of our puzzle type starters but this starter provides pupils with practice of a very important life skill as well as a good mental arithmetic work out. A good understanding of percentages will help students develop strategies and short cuts for doing the calculations quickly. This is a starter that is well worth repeating, a different version is available here.

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This starter has scored a mean of 3.3 out of 5 based on 291 votes.


Previous Day | This starter is for 29 September | Next Day

 

Globe of Flags

This activity is suitable for students of mathematics all around the world. Use the button below to change the currency symbol used to make it more relevant to your students. You may wish to choose an unfamiliar currency to extend your students' experience.

Globe of Flags

% - This is the percent symbol.
Percent means 'out of 100'.

Find 50%:

As 50 is half of 100, then 50% means half. To find 50% of a quantity you need to halve (or divide by two). So 50% of 6 is 3.

Find 10%:

As 10 is one tenth of 100, then 10% means 'one tenth of'. To find 10% of a quantity you need to divide it by ten. So 10% of 800 is 80.

Find 25%:

As 25 is one quarter of 100, then 25% means 'one quarter of'. To find 25% of a quantity you need to divide it by four. So 25% of 20 is 5.

Another way of finding 25% of a quantity is first finding 50% then dividing the result by 2.

Find 33⅓%:

As 33 is one quarter of 100, then 33⅓% means 'one third of'. To find 33⅓% of a quantity you need to divide it by three. So 33⅓% of 30 is 10.

Find 1%:

As 1 is one hundredth of 100, then 1% means 'one hundredth of'. To find 1% of a quantity you need to divide it by 100. So 1% of 800 is 8.

Find other percentages:

Other percentages can be found by combining some of the techniques mentioned above. Here are some examples:

If you need to use a calculator to check your working. See Calculator Workout skill 3.

Answers

10%50%25%15%
£16£1.60£8£4£2.40
£22£2.20£11£5.50£3.30
£70£7£35£17.50£10.50
£5.4054p£2.70£1.3581p
£25.50£2.55£12.75£6.38*£3.83*
£80.40£8.04£40.20£20.10£12.06

*These answers have been rounded to the nearest penny

See also In Your Head 2

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the link above to find another version of this starter or you can manually change the values in the table above.



Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=September29

Here is the URL which will take them to a student version of this activity.

Transum.org/go/?to=Percentages

Student Activity

After Thought

Which is the best bargain?

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SALE
20% of Recommended
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