Mathematics (9-1) - 0980 CIE

Proportion

Overview

Proportion describes how two quantities change together. In direct proportion, doubling one doubles the other; in inverse proportion, doubling one halves the other. Writing these relationships with algebra lets you find any unknown value precisely.

In this lesson (Extended tier) you will express direct and inverse proportion in algebraic form, find the constant of proportionality, and use the relationship to calculate unknown quantities.

Objectives

  1. Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.

Lesson Note

Many science and real-world laws are statements of proportion. Turning 'y is proportional to x' into an equation lets you predict exact values rather than just describe a trend.

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Lesson Evaluation

Congratulations on completing the lesson on Proportion. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. y is directly proportional to x, and y = 12 when x = 3. Find k. A. 4 B. 9 C. 15 D. 36 Answer: A
  2. Using y = 4x, find y when x = 7. A. 11 B. 21 C. 28 D. 47 Answer: C
  3. y is inversely proportional to x, and y = 6 when x = 2. Find k. A. 3 B. 4 C. 8 D. 12 Answer: D
  4. Using y = 12/x, find y when x = 4. A. 3 B. 4 C. 8 D. 48 Answer: A
  5. In inverse proportion, as x increases, y: A. increases B. decreases C. stays the same D. doubles Answer: B

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Practice Mock Questions

Want to practice mock questions on Proportion? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.

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