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Section 12.2 · Number

Sharing in a ratio

Divide a quantity into two or more parts in a given ratio, and work backwards from one share to the total.

6 teaching slides 49 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

shareOne person's or one group's amount.
total partsThe sum of the numbers in the ratio.
one partThe total divided by the number of parts.
divide in a ratioSplit a quantity so the shares match the ratio.

3 · Summary of the sectionrevise from this

  • Add the ratio numbers to find how many parts there are altogether.
  • Divide the total by that to find what one part is worth.
  • Multiply each ratio number by the value of one part.
  • Three steps, always in that order: add, divide, multiply.
  • Check by adding the shares — they must give the total back.
  • The larger number in the ratio always takes the larger share.
  • Working backwards: if one share is known, divide it by its ratio number to find one part.
  • If two shares differ by a known amount, that difference is the difference of the ratio numbers, in parts.
PDFPrintable worksheet All 49 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons2 videos

Ratio: sharing the total

British corbettmaths

The add–divide–multiply method, and the check that the shares total back.

Ratio when given one quantity

British corbettmaths

Working backwards: one share is known, the total is not.

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4 · Practice49 questions, easiest first

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12.1 Understanding ratio
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12.3 Direct proportion