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Paper 1 & 2
Ratio & Proportion
Foundation
Bar models keep ratios clear under time pressure.
Key Facts
- Ratios compare parts of the same unit.
- Unitary method: find 1 part, then scale.
- Direct proportion keeps the ratio constant.
- Simplify before doing any calculations.
Topics Covered
Simplifying Ratios
What you need to know
- •Divide by the highest common factor.
- •Use unitary method for sharing.
Exam Tips
- Label units before simplifying.
Direct Proportion
What you need to know
- •Scale up or down by the same factor.
- •Use “per 1” to scale.
Exam Tips
- Write the scale factor clearly.
Key Terms
Unitary method
Find one unit, then scale to the required amount.
Direct proportion
Two quantities increase or decrease together at the same rate.
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Common Exam Questions
Share £90 in the ratio 2:3.
2 markseasyPaper 2
Model Answer
£36 and £54
What examiners want to see
- ✓Find total parts then multiply.
Scale 5:8 to a total of 39.
3 marksmediumPaper 1
Model Answer
15:24
What examiners want to see
- ✓Find one part then scale.
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