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Basic 2 · Mathematics · Fractions

Half and Quarter of a Group

In this topic you will find half and a quarter of a group of objects.

By the end of these notes you should be able to:

  • Find half of a group of objects
  • Find a quarter of a group of objects
  • Compare half and a quarter of the same group

What you already know

  • Halves and quarters in a whole

Copy everything that has a blue line on its left into your notebook. The other parts are for reading.

Strand
Number
Sub-strand
Fractions
Indicator
B2.1.3.1.3 – Determine the number of halves and quarters in a whole

Introduction

There are 8 sweets. Share them equally among 4 friends. Each friend gets a quarter of the sweets.

1. Half of a Group

To find half, share into 2 equal groups.

Half of 8 = 4.

2. A Quarter of a Group

To find a quarter, share into 4 equal groups.

A quarter of 8 = 2.

Eight sweets shared into four plates of two
Figure 1: A quarter of 8 sweets Draw 12 dots and circle a quarter.Illustration: Sirbus
Halves and quarters of groups
GroupHalfQuarter
421
842
1263
20105

Tip: A quarter is half of a half. Half of 8 is 4, and half of 4 is 2.

New words

share
To give equal parts.
group
A number of things together.
quarter of
One of 4 equal groups.
half of
One of 2 equal groups.

Summary

  • Half of a group: share into 2 equal groups.
  • A quarter of a group: share into 4 equal groups.
  • A quarter is half of a half.

Class activity: Fair Shares

  1. Take 12 bottle tops.
  2. Share them into 2 equal groups. How many in each?
  3. Share them into 4 equal groups. How many in each?

You need: Fraction strips cut from old cartons, Bottle tops, Exercise books

Exercises

Answer in your exercise book first, then check your answers.

  1. 1. What is half of 10?

    • A. 5
    • B. 2
    • C. 10
    • D. 20
    Show answer
    Answer: 55 + 5 = 10.

  2. 2. What is a quarter of 16?

    • A. 4
    • B. 8
    • C. 2
    • D. 12
    Show answer
    Answer: 416 shared into 4 groups gives 4.

  3. 3. A quarter of 4 is 1.

    • A. True
    • B. False
    Show answer
    Answer: True4 shared by 4 gives 1 each.

  4. 4. A quarter of 20 is 10.

    • A. True
    • B. False
    Show answer
    Answer: FalseA quarter of 20 is 5; half is 10.

  5. 5. Half of 12 is ______.

    Show answer
    Answer: 66 + 6 = 12.

  6. 6. Mother shares 24 oranges equally among 4 children. How many does each child get?

    Show answer
    Answer: 6 orangesA quarter of 24 is 6.

Homework

  1. Share 8 spoons into 4 equal groups. How many in each group?