NumberDeep Dive

Advanced: Ratio Problems

Part of Ratio BasicsGCSE Mathematics

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 14 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 12 of 14

Practice

12 questions

Recall

22 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

Keep building this topic

Read this section alongside the surrounding pages in Ratio Basics. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Ratio Basics

Write the ratio 12:18 in its simplest form.

  • A. 6:9
  • B. 4:6
  • C. 2:3
  • D. 3:2
1 markfoundation

Explain the difference between the ratio 3:5 and the ratio 5:3.

2 marksstandard

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!

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