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Primary Maths · Year 1Chapter 10 · Halves and quarters
Year 1 · Halves and quarters · Lesson 10.1

Year 1: Equal and not equal parts

Part of the Year 1 halves and quarters chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

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10.1

Equal and not equal parts

Year 1
Recognise equal and not equal parts
A classroom. Let’s look at shapes that are cut into parts.

Some shapes are cut into parts. When all the parts are the same size, they are equal parts. When one part is bigger or smaller than another, the parts are not equal.

The left rectangle has equal parts. The right rectangle does not, because one part is bigger.

Equal partsNot equal parts
The left rectangle has equal parts. The right one does not.

Key ideas

  • Equal parts are the same size.
  • Parts that are not equal are different sizes.
  • Check by comparing the parts side by side.
Worked example 10.1.1
Are the two parts equal?

Method. Equal parts are the same size. Compare the parts to decide.

  1. Look at each part. Compare the parts side by side.
    2 parts
  2. Compare the sizes. Equal parts are the same size.
    The parts are the same size.
  3. Decide.
    Yes. The parts are equal.

Check. Measure the parts with a ruler or a strip of paper. The same length means equal. ✓

Watch out. A line that looks like it is in the middle may not be. Check before you decide.

Worked example 10.1.2
Are the two parts equal?

Method. Equal parts are the same size. Compare the parts to decide.

  1. Look at each part. Compare the parts side by side.
    2 parts
  2. Compare the sizes. Equal parts are the same size.
    One or more parts is a different size.
  3. Decide.
    No. The parts are not equal.

Check. Measure the parts with a ruler or a strip of paper. The same length means equal. ✓

Watch out. A line that looks like it is in the middle may not be. Check before you decide.

Worked example 10.1.3
Are all four parts equal?

Method. Equal parts are the same size. Compare the parts to decide.

  1. Look at each part. Compare the parts side by side.
    4 parts
  2. Compare the sizes. Equal parts are the same size.
    The parts are the same size.
  3. Decide.
    Yes. The parts are equal.

Check. Measure the parts with a ruler or a strip of paper. The same length means equal. ✓

Watch out. A line that looks like it is in the middle may not be. Check before you decide.

Watch out

Watch out: a line can look as if it is in the middle when it is not. Check the size of each part before you decide.

Exam tip

Grown-up tip. Fold a piece of paper, a sandwich or a strip of card in two. Ask: “Are both parts the same size?” Then fold it again to make four.

Exercise 10A  Equal and not equal parts

Non-calculator
1
FAre the two parts equal? Write Yes or No.
2
FAre the two parts equal? Write Yes or No.
3
FAre the two parts equal? Write Yes or No.
4
FAre the four parts equal? Write Yes or No.
5
FAre the four parts equal? Write Yes or No.
6
FWhich shape has equal parts? Write A, B or C.
ABC
7
PSWhich line makes two equal parts? Write A or B.
AB
8
RTom says all the parts of this circle are equal. Is he right? Explain how you know.
9
PSSam cuts a sandwich into 2 parts. One part is much bigger. Are the parts equal? Write Yes or No.
10
RWhich shapes are split into equal parts? Write all the letters that are right.
ABCD

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