Mathematics - International - 0607 CIE

Types Of Number

Overview

Numbers come in families. Some are whole, some are negative, some can only be built by multiplying a number by itself, and a special few line up to make neat triangles of dots. Knowing which family a number belongs to is the quiet skill behind factorising, simplifying surds, working with fractions and spotting patterns in a sequence.

In this lesson you will sort numbers into natural numbers, integers, primes, squares, cubes and triangle numbers, then put them to work through factors and multiples, the highest common factor and lowest common multiple. You will also meet rational and irrational numbers and learn what a reciprocal is. These are the building blocks the rest of the number work rests on.

Objectives

  1. Identify and use: natural numbers (0, 1, 2, ...) integers (positive, zero and negative) prime numbers square numbers cube numbers triangle numbers common factors common multiples rational and irrational numbers reciprocals.

Lesson Note

Almost every other number skill leans on these definitions. Finding a highest common factor simplifies a fraction; recognising a square number speeds up a calculation; knowing a number is irrational tells you to leave it as a surd rather than round it. Get the vocabulary of number solid now and the algebra, fractions and sequences that follow become far easier.

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

Lesson Evaluation

Congratulations on completing the lesson on Types Of Number. 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. Which of the following is a prime number? A. 1 B. 9 C. 21 D. 23 Answer: D
  2. Which of these is the 5th triangle number? A. 10 B. 15 C. 21 D. 25 Answer: B
  3. What is the highest common factor (HCF) of 24 and 36? A. 6 B. 12 C. 18 D. 72 Answer: B
  4. What is the lowest common multiple (LCM) of 24 and 36? A. 12 B. 36 C. 72 D. 864 Answer: C
  5. Which of these numbers is irrational? A. 0.75 B. the square root of 9 C. the square root of 5 D. 2/3 Answer: C

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 Types Of Number? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.

Download The App On Google Playstore

Everything you need to excel in JAMB, WAEC & NECO

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
Thousands of JAMB, WAEC & NECO Past Questions
Over 1200 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning