IGCSE Math RevisionWorked example 1: Sharing in a ratio
Share £72 in the ratio 5 : 3.
Solution
- Total parts:
- One part:
- Shares:
- Check:
Answer: £45 and £27
5 steps · 1 to fill in
Tip: Always check the shares add back to the total.
Edexcel IGCSE Maths (4MA1) · Unit 1: Number
Edexcel IGCSE 4MA1 Ratio: Exam Questions and Answers
Ratio questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the 3 worked examples first, then cover each solution and redo it yourself.
- 3 worked examples
- Higher tier · calculator allowed
- Free, no sign-in
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What this topic covers
- Ratio & proportion: Sharing quantities in a given ratio and solving direct proportion problems.
- Ratio 1: Sharing quantities in a ratio.
- Ratio 2: Direct and inverse ratio problems.
Ratio worked examples
Worked example 2: Simplifying a three-part ratio
Write 45 : 60 : 75 in its simplest form.
Solution
- The HCF of 45, 60 and 75 is 15.
- Divide each part by 15: 3 : 4 : 5.
Answer: 3 : 4 : 5
3 steps
Tip: Divide by the HCF in one step.
Worked example 3: Ratio from a difference
The ratio of A's money to B's money is 4 : 7. B has £36 more than A. How much does each have?
Solution
- The difference is
- 3 parts = £36, so 1 part = £12.
- A:
Answer: A £48, B £84
4 steps
Tip: Match the given amount to the correct number of parts.
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Revise ratio for the exam
- Unit 1 practice: Number in the student hub (more questions with mark schemes)
- IGCSE Maths revision notes for this topic and the IGCSE Maths formula sheet
- Edexcel IGCSE Maths 4MA1 past papers to practise under exam conditions
- IGCSE Maths 4MA1 examiner report summary: where students lose marks
Questions students ask
Which Edexcel IGCSE Maths papers test ratio?
Either Higher tier paper, 1H or 2H, can test ratio: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
Where can I practise more ratio questions?
In the IGCSE student hub: Unit 1 (Number) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.
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