Topic summary · Foundation · CIE Core

Ratio and Proportion summary

Ratios compare quantities; proportion scales them. Sharing in a ratio and unitary method are core exam skills.

Open Learning Sheet — Ratio and Proportion Download Ratio and Proportion answers PDF

Files: foundation-7 Ratio and Proportion handout.pdf · foundation-7 Ratio and Proportion handout answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

Simplify ratios by dividing by the HCF.
Share $N$ in ratio $a:b$ : parts $a+b$ , one part $N/(a+b)$ .
Direct proportion: $y=kx$ ; inverse: $y=k/x$ .

Worked example 1 — Sharing

Share $£60$ in the ratio $2:3$ .

Working

24:36

5 equal parts of $£12$ .

Worked example 2 — Simplify ratio

Simplify $18:24$ .

Working

3:4

Divide by HCF 6.

Worked example 3 — Unitary method

4 pens cost $£6$ . Cost of 7?

Working

10.5

Find one, then multiply.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Open Learning Sheet Answers PDF

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