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Solids, flat shapes and position · Usually met around P1

Halves and quarters

First check every part is the same size.

How to do it

Method

First check every part is the same size

4 equal parts: 1 shaded is a quarter, 2 shaded is a half

Another way

Lay them on top

Two parts that match exactly on top of each other are halves

In full

Sharing equally means every part is the same size. A shape cut into 2 equal parts: each is a half. Into 4 equal parts: each is a quarter, and 2 quarters make a half. If the parts aren't the same size, they aren't halves or quarters. Same size need not mean same shape: a square cut into 2 small squares and 2 strips is still 4 equal parts if each part is the same size. Or cut the parts out and lay them on top of each other to compare; to share things, hand them out one each in turn.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    How many equal parts is this shape cut into?

    Show the answer and working

    Answer: 2 parts

    The parts are the same size; count them: 2.

  2. Example 2

    How much of the whole shape is shaded?

    • A. A half
    • B. A third
    • C. All of it
    • D. A quarter

    Choose the right answer

    Show the answer and working

    Answer: D. A quarter

    4 equal parts, 1 shaded: 1 of 2 or 2 of 4 is a half; 1 of 4 is a quarter.

  3. Example 3

    28 sweets shared into two equal parts: each part is a half, □ sweets. Into four equal parts: each is a quarter, □ sweets.

    Fill in each box

    Show the answer and working

    Answer: 14,7

    Hand them out one at a time to 2 people: 14 each. To 4 people: 7 each (half of a half).

Practise it in the game →Solids, flat shapes and position · Free to start, unlimited questions, no download