Key Concepts in Ratio and Proportion
- Simplifying ratios
- Sharing in a given ratio
- Direct proportion
- Inverse proportion
- Ratio word problems
Exam Tips for Ratio and Proportion
- ๐กSimplify ratios by dividing all parts by the HCF
- ๐กTo share in ratio a:b, find the total parts then multiply
- ๐กDirect proportion: y = kx; inverse proportion: y = k/x
Exam Board Coverage
Ratio and Proportion appears on all major GCSE Maths exam boards at both Foundation and Higher tier.
AQA
Edexcel
OCR
Frequently Asked Questions
How do I share an amount in a ratio?
Add the parts of the ratio to find the total number of parts. Divide the amount by the total parts to find one part, then multiply each ratio value by one part.
What is the difference between direct and inverse proportion?
In direct proportion, both quantities increase together (y โ x). In inverse proportion, as one increases the other decreases (y โ 1/x).