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.

Q1:

Here is a group of 9 people.

Can we divide the group into pairs so that everyone has a partner?

  • Ayes
  • Bno

Q2:

Is the number of stars even or odd?

  • Aeven
  • Bodd

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.

Q4:

Here is a group of 8 people.

Can we divide the group into pairs so that everyone has a partner?

  • Ayes
  • Bno

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

Q17:

Is 9 even or odd?

  • Aodd
  • Beven

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

Q20:

Is 8 even or odd?

  • Aeven
  • Bodd

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

Q23:

There are the same number of squares in each of these two circles.

Is the total number of squares even or odd?

  • Aodd
  • Beven

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

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