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.
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°
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
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'