NumberStudy Notes

Worked Example 3: Three-Way Ratio

Part of Ratio Basics · GCSE GCSE Mathematics revision

This study notes covers Worked Example 3: Three-Way Ratio 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 9 of 15 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 9 of 15

Practice

12 questions

Recall

22 flashcards

Worked Example 3: Three-Way Ratio

Divide 360° in the ratio 2:3:4

Solution

Total parts = 2 + 3 + 4 = 9

One part = 360° ÷ 9 = 40°

First angle = 2 × 40° = 80°

Second angle = 3 × 40° = 120°

Third angle = 4 × 40° = 160°

Answer: 80°, 120°, 160°

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.

Worked Example 2: Sharing Amount Worked Example 4: Finding Missing Value The Art of Sharing Understanding 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'

12 questions on Ratio Basics — practise free

Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.

Try PrepWise Free

Worked Example 2: Sharing Amount

Worked Example 4: Finding Missing Value