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Maths · Ratio

Share a total in a ratio

Divide one total into parts in a stated ratio.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Share £220 between Ella and Kira in the ratio 5 : 6. How much more money does Kira get than Ella?

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A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Sharing an amount in a ratio

A total of 60 stickers is shared between Grace and Erin in the ratio 1:5. How many stickers does Grace get?

The whole bar is the total, split into 6 equal parts.

  • A bar cut into 6 equal parts, with 1 of them shaded.
  1. 20
  2. 10
  3. 30
  4. 50

Answer: 10

How you get there

The ratio 1:5 makes 6 equal parts, so one part is 60 divided by 6, which is 10, and Grace takes 1 of those parts, which equals 10.

Why the other answers tempt

5 parts belong to Erin, so the larger share is not always the one asked for.

If they are stuck, say this

Add the two parts of the ratio together first - that tells you how many equal groups the 60 stickers split into.

Now do it live in Share Out

What this exercise is doing

Share Out

Share £220 between Ella and Kira in the ratio 5 : 6. How much more money does Kira get than Ella?

Add the ratio parts first: 5+6=11 equal shares. 220÷11=20, so every single share is worth £20. Kira holds 6 and Ella holds 5, so the gap is 1 x 20=£20. Notice the shares add straight back up to 220 - nothing is left over, because the total was cut into 11 equal pieces in the first place.

  1. Step 1. One share. Cut £220 into 11 equal shares. Set the block size until they fill the bar exactly.
  2. Step 2. Share out. How much more money does Kira get than Ella?

What to say if they get stuck

  1. The ratio 5 : 6 means the whole lot is cut into 11 equal shares, not 2.
  2. 220÷11=20, so one share is worth £20.
  3. Kira takes 6 shares and Ella takes 5, a gap of 1 shares.

Open Share Out on its own page to share it

Where share a total in a ratio sits in the 11+

The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.

Sits alongside

Scale quantities in a ratio

Both use multiplicative comparison but solve different structures.

Questions parents ask about share a total in a ratio

Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.

Divide one total into parts in a stated ratio. It is one of 55 named maths skills in the 11+, in the ratio strand, and this page carries 1 interactive exercise that practises it.

Knowing which maths topic to practise is most of the work

A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.