Mathematics - International - 0607 CIE

Rates

Overview

A rate compares two different quantities, telling you how much of one thing there is for each unit of another. Speed in kilometres per hour, a wage in dollars per hour, a phone plan in cents per minute: all of these are rates, and they are everywhere in daily life and in the exam.

In this lesson you will learn what a rate is, how to read and use common rates, and how to handle the most important one of all in this syllabus: average speed. By keeping a clear eye on units, you will be able to switch between distance, speed and time with confidence and solve real journey problems.

Objectives

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

Lesson Note

Rates let you compare and predict. Knowing the price per litre tells you which fuel station is cheaper; knowing a typing rate tells you how long a document will take; knowing an average speed tells you when you will arrive. The single habit that makes rate questions easy is watching the units, and that habit pays off across science and everyday decisions too.

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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. 3 kg of apples cost $7.50. What is the cost per kilogram? A. $2.00 B. $2.50 C. $4.50 D. $22.50 Answer: B
  3. A train travels at 80 km/h. How long does it take to travel 200 km? A. 1.5 hours B. 2 hours C. 2.5 hours D. 3 hours Answer: C
  4. A cyclist rides at an average speed of 20 km/h for 3 hours. How far do they travel? A. 6 km B. 23 km C. 60 km D. 600 km Answer: C
  5. Which conversion of 45 minutes into hours is correct? A. 0.45 hours B. 0.75 hours C. 4.5 hours D. 1.45 hours 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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