Odd and even numbers
Decide whether a whole number is odd or even.
Practice + answer key · 2 pages
Worksheet settings12 questions · 2 columns · A4
Paper size
Number sense
What you’ll practice
Identify odd and even whole numbers using pairs or division by two.
Can every item be paired with another, or is one left over? Use that idea to sort odd and even numbers, then see how the ones digit gives you a quicker check.
How this skill works
An even number is a multiple of 2 and has no remainder when divided by 2. An odd number leaves a remainder of 1.
The ones digit is enough to determine parity: 0, 2, 4, 6 and 8 are even endings. Zero is even because 0 = 2 × 0.
Worked example
Is 137 odd or even?
- 137 = 2 × 68 + 1.
- One remains after making pairs, so 137 is odd.
Answer: odd
Teaching notes
- Check the ones digit first.
- Use division by 2 if you want to explain the classification.
Practice questions
- Is 158 odd or even?
- Is 55 odd or even?
- Is 20 odd or even?
- Is 6 odd or even?
- Is 3 odd or even?
- Is 39 odd or even?
- Is 11 odd or even?
- Is 84 odd or even?
- Is 61 odd or even?
- Is 160 odd or even?
- Is 149 odd or even?
- Is 135 odd or even?
Answers and steps
- even
- 158 = 2 × 79 + 0. A remainder of 0 makes the number even.
- odd
- 55 = 2 × 27 + 1. A remainder of 1 makes the number odd.
- even
- 20 = 2 × 10 + 0. A remainder of 0 makes the number even.
- even
- 6 = 2 × 3 + 0. A remainder of 0 makes the number even.
- odd
- 3 = 2 × 1 + 1. A remainder of 1 makes the number odd.
- odd
- 39 = 2 × 19 + 1. A remainder of 1 makes the number odd.
- odd
- 11 = 2 × 5 + 1. A remainder of 1 makes the number odd.
- even
- 84 = 2 × 42 + 0. A remainder of 0 makes the number even.
- odd
- 61 = 2 × 30 + 1. A remainder of 1 makes the number odd.
- even
- 160 = 2 × 80 + 0. A remainder of 0 makes the number even.
- odd
- 149 = 2 × 74 + 1. A remainder of 1 makes the number odd.
- odd
- 135 = 2 × 67 + 1. A remainder of 1 makes the number odd.