Learning pack · Foundation · CIE Core

Ratio and Proportion

What's in this pack: printable worksheet PDF, matching answers PDF, and slides (Foundation · CIE Core depth). Ratios compare quantities; proportion scales them. Sharing in a ratio and unitary method are core exam skills.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Lesson slides · narrated video available

Download slides

Files: foundation-7 Ratio and Proportion handout.pdf · foundation-7 Ratio and Proportion handout answers.pdf

Full topic summary

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

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.

🎬 Topic videos

Golden Ratio Song - Numberphile
Numberphile · 3 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Golden Ratio BURN (Internet Beef) - Numberphile
Numberphile · 11 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Math Antics - Proportions
Math Antics · 11 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
The golden ratio spiral: visual infinite descent
Mathologer · 22 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Introduction to Ratios
Eddie Woo · 4 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Setting up proportions to solve word problems | 7th grade | Khan Academy
Khan Academy · 6 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

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Browse the hub Learning Packs & Summary, or open the compact Ratio and Proportion summary.