GCSE Maths

GCSE Maths Ratio Problems Exam Questions

Free GCSE Maths exam questions on Ratio Problems, with full model answers. Covers harder ratio problems including changing ratios and combining ratios.

Ratio Problems exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About GCSE Maths Ratio Problems

Ratio Problems is a Grade 5+ GCSE Maths topic, so it mostly comes up on Foundation and Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.

What you need to know

  • Combining Make the shared part equal.
  • Changing ratios Form an equation.
  • Totals Use known parts to find the total.

Common mistakes in Ratio Problems

  • Not making the common part equal.
  • Ignoring units.

Try two Ratio Problems exam-style questions

1. a : b = 2 : 3 and b : c = 4 : 5. Find a : b : c. (2 marks)

Show the mark scheme answer

8 : 12 : 15

2. Red to blue is 3 : 4 and there are 21 counters. How many are red? (1 mark)

Show the mark scheme answer

9

Ratio Problems FAQs

Which exam boards include Ratio Problems?

These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Ratio Problems in GCSE Maths?

It is a Grade 5+ topic, so it mostly appears on Foundation and Higher tier papers.

How should I use these Ratio Problems questions?

Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.