This deep dive covers Advanced: Ratio Problems within Ratio Basics for GCSE Mathematics. Revise Ratio Basics in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 12 of 15 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Advanced: Ratio Problems
Complex ratio problems often involve:
- Changing ratios: If ratio changes from 3:4 to 5:6, find new amounts
- Combined ratios: If A:B = 2:3 and B:C = 4:5, find A:B:C
- Reverse problems: Given difference and ratio, find original amounts
Example: If A:B = 2:3 and B:C = 4:5
Make B the same: A:B = 8:12 and B:C = 12:15
Therefore A:B:C = 8:12:15
Practice questions for Ratio Basics
Write the ratio 12:18 in its simplest form.
Explain the difference between the ratio 3:5 and the ratio 5:3.
Quick recall flashcards
What is a ratio?
A comparison of quantities of the same kind
Written as a:b or a/b
Example: 3:5 means '3 parts to 5 parts'
Order in Ratios
Order MATTERS!
Boys:Girls = 3:5 means:
• 3 boys for every 5 girls
Girls:Boys = 5:3 means:
• 5 girls for every 3 boys
Different meanings!