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Welcome to Odd Numbers and Even Numbers page.

Find out about even and odd numbers and how to spot them.

Take a look at some of our fun practice worksheets or have a go at our odd or even number quiz.

By the time you've finished, you'll be an expert at odd and even numbers.

Odd and even numbers is one of the concepts that all students are expected to know about.

When using odd and even numbers in arithmetic, you get interesting patterns such as if you add two odd numbers, you always get an even answer.

This page is all about the basics of odd numbers and even numbers and how to identify them.

We have a lot of support worksheets, as well as practice sheets to 20 and also harder practice sheets up to 100.

By the end of 2nd grade, students are expected to identify and determine odd and even numbers up to 20.

Quicklinks to ...

What is an Odd number?

When you pair all the members of an odd number up, there is always one left out.

The two diagrams below show two different odd numbers which have been grouped in 2s.

In each odd number, there is a member which has been left out of a group of 2.

If a whole number is not odd, then it is even.

How to quickly tell if a number is Odd

- Any whole number which is not a multiple of 2 is odd.
- This means that if you divide ANY odd number by 2, you get a remainder or decimal answer.
- Example: 15 ÷ 2 = 7.5
- If the Ones digit is 1, 3, 5, 7, or 9, then the number is odd.

Odd Numbers Examples

- 73, 21, 65, 117, 81 are all odd.
- 32, 78, 14, 56, 110 and 86 are not odd (they are even).

What is an Even number?

When you pair all the members of an even number up, no-one is left out.

The two diagrams below show two different even numbers which have been grouped in 2s.

No member has been left out of a group of 2.

If a whole number is not even, then it is odd.

How to quickly tell if a number is Even

- Any number in the 2 times table (or a multiple of 2) is even.
- This means that if you divide ANY even number by 2, then you get a whole number
- Example: 78 ÷ 2 = 39.
- If the Ones digit is 0, 2, 4, 6, or 8 then the number is even.

Even Numbers Examples

- 18, 32, 74, 120, 96 are all even.
- 23, 75, 19, 35, 117 and 91 are not even (they are odd).

Zero is an even number.

We can tell this because it is a multiple of 2 (it is equal to 2 x 0).

Decimal numbers cannot be odd or even.

Only whole numbers (integers) can be odd or even.

Example: 5.6 is not even or odd.

Fractions cannot be odd or even.

Only whole numbers (integers) can be odd or even.

You can refer to the numerator or denominator of a fraction as being odd or even.

Yes. Negative whole numbers (or negative integers) are either odd or even.

If a number n is even, then so is -n. If a number n is odd, then -n is also odd.

So if we look at some lists of even and odd numbers:

- 0, 2, 4, 6, 8, 10, 12 are all even.
- This means that -2, -4, -6, -8, -10, -12 are also even.
- 1, 3, 5, 7, 9, 11, 13 are all odd.
- This means that -1, -3, -5, -7, -9, -11, -13 are all odd.

These sheets all involve circling or pairing different numbers presented visually to see whether they are odd or even.

Using visual and practical ways of pairing up objects is the best way to start learning about odd and even numbers.

If a number of objects can be paired up with none left out, then the number is even.

If the number of objects can't be paired up without leaving one of the objects out then it is odd.

These sheets involve indentifying odd and even numbers up to 20 or 100 without any visual models to support.

They have been designed as practice sheets rather than learning sheets.

These sheets have been designed for students in 3rd grade, or more able 2nd grade students.

All the sheets in this section involve identifying odd and even numbers up to 100.

Take a look at some more of our worksheets similar to these.

We have some more challenging odd and even worksheets on our main site suitable for 3rd graders and up.

Use the link below to open math-salamanders.com in a new browser window.

The worksheets in this section are all about reading and ordering a range of 3 digit numbers.

Using the sheets in this section will help your child to:

- Read 3 digit numbers;
- Compare 3 digit numbers and put them in order.

These sheets will support your child with their place value learning.

The worksheets in this section involve counting in ones (or halves) to complete the missing numbers on the number lines.

Using the sheets will help your child to:

- count by halves up to 10;
- count by ones up to 1000;
- count by tens up to 1000;
- fill in missing numbers on a number line.

These number lines worksheets also cover counting up to 100 and 200.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge of odd and even numbers up to 20.

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