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Reception Maths · ReceptionChapter 8 · Patterns
Reception Maths · Patterns · Lesson 8.3

Reception Maths: Odd and even numbers

Part of the Reception Maths patterns chapter. Chapter overview · whole chapter on one page

8.3

Odd and even numbers

Reception
Know odd and even numbers to 10 by pairing

Sam has some apples. He puts them in pairs. Each apple has a partner.

If every thing has a partner, the number is even. If one is left over with no partner, the number is odd.

Six apples in pairs: even.

Key ideas

  • Even: every thing has a partner.
  • Odd: one thing is left over.
  • Make pairs to check.
Worked example 8.3.1
Is 6 odd or even?

Key words. An even number can be made into pairs. An odd number has one left over.

Method. Put the things in pairs. If every thing has a partner, the number is even. If one is left over, it is odd.

  1. Make pairs from the 6 things. Put two things together in each pair.
    3 pairs
  2. Look for a left-over thing. A left-over thing means there is no partner.
    0 left over
  3. Write the answer.
    even

Check. Count the pairs: 3 pairs, and 0 left over. ✓

Watch out. An even number can be made into pairs with none left over.

Worked example 8.3.2
Is 7 odd or even?

Key words. An even number can be made into pairs. An odd number has one left over.

Method. Put the things in pairs. If every thing has a partner, the number is even. If one is left over, it is odd.

  1. Make pairs from the 7 things. Put two things together in each pair.
    3 pairs
  2. Look for a left-over thing. A left-over thing means there is no partner.
    1 left over
  3. Write the answer.
    odd

Check. Count the pairs: 3 pairs, and 1 left over. ✓

Watch out. An even number can be made into pairs with none left over.

Worked example 8.3.3
Is 4 odd or even?

Key words. An even number can be made into pairs. An odd number has one left over.

Method. Put the things in pairs. If every thing has a partner, the number is even. If one is left over, it is odd.

  1. Make pairs from the 4 things. Put two things together in each pair.
    2 pairs
  2. Look for a left-over thing. A left-over thing means there is no partner.
    0 left over
  3. Write the answer.
    even

Check. Count the pairs: 2 pairs, and 0 left over. ✓

Watch out. An even number can be made into pairs with none left over.

Watch out

Watch out: count the pairs carefully. If you can see a single thing left over, the number is odd.

Exam tip

Grown-up tip. Use socks or buttons. Pair them up. Ask: “Did any get left over?” Say: even numbers pair up and odd numbers have one left.

Exercise 8C  Odd and even

Non-calculator
1
FIs 2 odd or even?
2
FIs 3 odd or even?
3
FIs 5 odd or even?
4
FIs 8 odd or even?
5
FIs 9 odd or even?
6
FIs 10 odd or even?
7
FIs 1 odd or even?
8
FIs 7 odd or even?
9
FIs 4 odd or even?
10
PSWhich of these numbers is odd? Choose 4, 6 or 7.
11
PSBen has 9 cubes. He tries to make pairs. Is 9 odd or even?
12
RAli says 6 is odd. Is he right? Explain using pairs.
13
RIs the number of fingers on your two hands odd or even? Explain.

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