# Worksheet: Identifying Odd and Even Numbers: Pairing or Grouping

In this worksheet, we will practice deciding if a number up to 20 is even or odd by investigating whether you can divide it into two equal groups without any remainders.

**Q3: **

Hannah counted 19 plants in her garden, but 4 of them were weeds. Will she have an even or odd number of plants after she removes the weeds? Why?

- AAn even number, because there will not be one left over.
- BAn even number, because 4 is even.
- CAn odd number, because 15 things have one left over when you put them in pairs.
- DAn odd number, because the digit 1 in 15 is odd.

**Q5: **

A number is **odd** if we **cannot** split it into groups of two with nothing left over.

If we try to split these 9 squares into groups of 2, there is always one left over. So, 9 is odd.

Which of the following numbers is odd?

- A
- B
- C
- D

**Q6: **

Every child has a partner to work with.

Is the total number of children even or odd?

- Aodd
- Beven

**Q7: **

Is the number of cats even or odd?

- AEven
- BOdd

**Q8: **

James is using a ten frame to see if numbers are even or odd. He colors 6 squares in the ten frame and tries to pair each square in the top row with the square under it.

He sees that he can divide 6 into three pairs, so 6 is an even number. Then, he colors 9 squares in the same way.

He sees that he cannot **divide** 9 into pairs. There is one left over, so 9 is an odd number. Now it is your turn, pick the **ten frame** that shows that 7 is an odd number.

- A
- B
- C
- D
- E

**Q9: **

These children wanted to work in pairs but there was one child left.

Is the total number of children even or odd?

- Aodd
- Beven

**Q10: **

Is 16 even or odd?

- Aeven
- Bodd

**Q11: **

If I add an odd number and an even number, the result is number.

- Aa prime
- Ban odd
- Can even

**Q12: **

Mason and Charlotte are making number patterns. They are going to write a number pattern that **starts at 7** using the rule **add 2**.

Mason thinks that the numbers will all be odd because 7 is odd, and adding 2 to odd numbers will always give an odd number.

Charlotte thinks that the numbers will be odd and even because 7 is odd and 2 is even.

Who is correct?

- AMason
- BCharlotte

**Q13: **

Is the number of circles in the figure even or odd?

- Aeven
- Bodd

**Q14: **

A number is **even** if it can be split into **two** groups of **equal** size.

These 6 squares can be split into two groups of 3 squares. So, 6 is even.

Which of the following numbers is even?

- A
- B
- C
- D
- E

**Q15: **

Ethan bought a pack of 15 stickers. He already had 3 of them, so he gave them to his friend. Does he have an odd or even number of stickers left?

- AAn odd number, because 3 is odd.
- BAn odd number, because they cannot be put into two equal groups.
- CAn even number, because 12 things can be put into two equal groups.
- DAn even number, because the digit 8 in 18 is even.
- EAn odd number, because the digit 1 in 12 is odd.

**Q16: **

There are the same number of squares in each of these two circles, and one more square is outside the circles.

Is the total number of squares even or odd?

- Aeven
- Bodd

**Q18: **

Is 13 even or odd?

- Aodd
- Beven

**Q19: **

A number is **even** if we can split it into **groups of two** with nothing left over.

These 8 squares can be split into 4 groups of 2 squares. So, 8 is even.

Which of the following numbers is even?

- A
- B
- C
- D

**Q21: **

A number is **odd** if it **cannot** be split into two groups of equal size.

These 7 squares can be split into two groups of 3 with 1 left over. So, 7 is odd.

Which of the following numbers is odd?

- A
- B
- C
- D
- E

**Q22: **

Here is a group of 6 people.

Can we split them into two groups with the **same number** of people in each group?

- Ano
- Byes

**Q24: **

Here is a group of 7 people.

Can we split them into two groups with the **same number** of people in each group?

- Ayes
- Bno