Mathematics (9-1) - 0980 CIE

Rates

Overview

A rate compares two different quantities, such as distance and time, or cost and weight. The most important rate at IGCSE is speed, but the same idea covers price per kilogram, flow per minute and many more. Rates turn raw figures into something you can compare and use.

In this lesson you will use common measures of rate, apply them to less familiar situations, and solve problems involving average speed, including the key relationship between speed, distance and time.

Objectives

  1. Use common measures of rate.
  2. Apply other measures of rate.
  3. Solve problems involving average speed.

Lesson Note

Rates let you compare things fairly (which product is better value, which journey is faster) and they are the foundation of the distance-time and speed-time graphs you meet later.

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Lesson Evaluation

Congratulations on completing the lesson on Rates. 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. A car travels 150 km in 2.5 hours. What is its average speed? A. 50 km/h B. 60 km/h C. 75 km/h D. 375 km/h Answer: B
  2. A worker earns $54 for 6 hours. What is the rate of pay per hour? A. $6 B. $9 C. $48 D. $60 Answer: B
  3. How far does a cyclist travel in 3 hours at 12 km/h? A. 4 km B. 15 km C. 36 km D. 4 h Answer: C
  4. A train covers 90 km at 45 km/h. How long does it take? A. 0.5 h B. 2 h C. 45 h D. 135 h Answer: B
  5. 30 minutes expressed in hours is: A. 0.3 h B. 0.5 h C. 3 h D. 30 h 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 Rates? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.

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