C Curriculum Explorer
Mathematics·Ratio & Proportion·procedural

Dividing Quantities by Ratio

Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

Suggested ages 11–13

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Evidence of understanding

  • Share £60 between two people in the ratio 2:3 by finding the value of one part
  • Express the result of sharing 24 sweets as 10 and 14 in ratio form as 5:7
  • Solve problems involving three-part ratios (e.g. divide 180 in the ratio 1:2:3)

Assessment prompt

If £60 is shared between two people in the ratio 2:3, can Dividing Quantities by Ratio work out how much each person gets?

Standards alignment

6.RP.3US · ccss-math

Use Ratio and Rate Reasoning

Common Core State Standards for Mathematics · 6

KS3.Maths.Ratio.5GB · uk-nc-2013

Divide Quantities into Ratios

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3