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Maths•JHS Number & Proportion

Ratio, rates and proportion

Junior High 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
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What ratio, rates and proportion means

You learn how to split amounts fairly and compare one quantity with another. You also work out simple rates such as speed, which helps you solve everyday word problems with money, time and distance.

What you will practise

  • Find the total number of parts in a ratio
  • Share money or objects in the given ratio
  • Simplify ratios by dividing by a common factor
  • Calculate speed from distance and time
  • Use proportion to compare matching quantities

Before you start

You should already be able to divide whole numbers and multiply and simplify basic fractions. It also helps if you can read simple word problems carefully and pick out the important numbers.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

Share GH₵120 between Ama and Kofi in the ratio 3:2. How much does Ama get?

  • GH₵48
  • GH₵60
  • GH₵72
  • GH₵80
Answer: GH₵72

Working: Total parts = 3 + 2 = 5. One part = 120 ÷ 5 = GH₵24. Ama gets 3 × 24 = GH₵72.

Common mistakes to avoid

  • Adding the ratio numbers correctly but forgetting to divide the total into equal parts first.
  • Using subtraction instead of division when finding one part of a ratio.
  • Mixing up distance, time and speed in rate problems.
  • Stopping after one calculation without checking if the answer matches the question.

Curriculum and exam alignment

Ghana GES Basic 7 to 9 syllabusBECE

This topic normally appears in Junior High School number work, where learners build skills in sharing, comparing and solving practical measurement problems. It supports the kind of reasoning often needed for BECE questions on ratios, rates and proportion.

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other JHS Number & Proportion skills in Maths, at the same point in the course.

Other Maths topics

Counting with PicturesPicture Addition & SubtractionEarly NumeracyNumber BasicsSHS Core MathematicsUniversity Mathematics

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Exams that assess ratio, rates and proportion

Junior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.

BECEBECE practice questionsFree BECE practice across the subjects at this stage, with worked answers.GESGES practice questionsFree GES practice across the subjects at this stage, with worked answers.WASSCEWASSCE practice questionsListed as a related subject on the WASSCE practice page.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

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Practise ratio, rates and proportion

6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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