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Worked Example 1: Simplifying Ratios

Part of Ratio Basics — GCSE Mathematics

This study notes covers Worked Example 1: Simplifying Ratios 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 7 of 14 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 7 of 14

Practice

12 questions

Recall

22 flashcards

Worked Example 1: Simplifying Ratios

Simplify the ratio 24:36

Solution

Find HCF(24, 36) = 12

24 ÷ 12 = 2

36 ÷ 12 = 3

Answer: 2:3

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.

Visual UnderstandingWorked Example 2: Sharing AmountThe Art of SharingUnderstanding Ratios

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

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!
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'

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Worked Example 2: Sharing Amount