NumberStudy Notes

Worked Example 5: Converting Units

Part of Ratio Basics — GCSE Mathematics

This study notes covers Worked Example 5: Converting Units 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 11 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 11 of 14

Practice

12 questions

Recall

22 flashcards

Worked Example 5: Converting Units

Express the ratio 2km : 500m in its simplest form

Solution

Convert to same units:

2km = 2000m

Ratio = 2000 : 500

Divide by HCF(2000, 500) = 500

2000 ÷ 500 : 500 ÷ 500 = 4 : 1

Answer: 4:1

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 4: Finding Missing Value Advanced: Ratio Problems 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'

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Worked Example 4: Finding Missing Value

Advanced: Ratio Problems