Ratio Problems — One Part & Difference | GCSE Foundation

Ratio Problems — One Part & Difference — GCSE Foundation · Ratio & proportion · Year 10.

Find missing shares and totals when you know one share or the difference between shares — the habit that trips pupils is dividing the gap by a ratio number instead of by the gap in parts.

Exam board alignment: Covers Foundation ratio skills required by OCR J560, AQA 8300 and Edexcel 1MA1. Written at an OCR Foundation school; content is spec-neutral unless noted.

What’s included

• 4-page student worksheet (print-ready PDF)
• 2-page teacher answer key with full worked solutions and section-by-section notes
• Do Now — quick arithmetic warm-up (division prep)
• Retrieval — sharing from Lesson 3, counting parts and differences
• The Big Idea — one share given · difference given · find one part then total
• I Do / We Do — smaller share £24 in 2 : 3; difference £16 in 3 : 5; difference £21 in 5 : 2
• Spot the Mistake — Sam divides £21 by 5 instead of by 3 parts
• You Do — Section A (share or difference given) · Section B (four scenario cards)
• Going Deeper — three-way ratio with one share · difference in 4 : 9
• Exit ticket + self-assessment checkboxes

Lessons with teacher commentary, not just answers — diagnostic notes on the misconception and marking guidance.

Worksheet preview