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## Understanding Odd or Even - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=20, Mode=rect

An even number of objects can be paired up evenly with nothing left over, or seen as two groups of equal numbers. When a whole number is not even, we call it odd. Even numbers will end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.

1.
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Is 16 odd or even?        Even        Odd
2.
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Is 17 odd or even?        Even        Odd

### Complexity=20, Mode=word

An even number of objects can be paired up evenly with nothing left over, or seen as two groups of equal numbers. When a whole number is not even, we call it odd. Even numbers will end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.

1.
You and your friend want to split these stickers:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Can this be done evenly? If so, what equation shows how many would each of you get?
 Yes, 17 = 7 + 7.
 Yes, 17 = 9 + 9.
 Yes, 17 = 10 + 10.
 Yes, 17 = 8 + 8.
 Yes, 17 = 6 + 6.
 Yes, 17 = 5 + 5.
 No.
2.
You and your friend want to split these stickers:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Can this be done evenly? If so, what equation shows how many would each of you get?
 Yes, 20 = 7 + 7.
 Yes, 20 = 10 + 10.
 Yes, 20 = 8 + 8.
 Yes, 20 = 11 + 11.
 Yes, 20 = 9 + 9.
 Yes, 20 = 12 + 12.
 No.

### Complexity=20, Mode=rect

An even number of objects can be paired up evenly with nothing left over, or seen as two groups of equal numbers. When a whole number is not even, we call it odd. Even numbers will end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.

1
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Is 16 odd or even?        Even        Odd
Solution
You can look at 16 as: 8 pairs, or a pair of 8's (16 = 8 + 8). So it is even.
2
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Is 17 odd or even?        Even        Odd
Solution
The number 17 cannot be split up into pairs, so it is odd.

### Complexity=20, Mode=word

An even number of objects can be paired up evenly with nothing left over, or seen as two groups of equal numbers. When a whole number is not even, we call it odd. Even numbers will end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.

1You and your friend want to split these stickers:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Can this be done evenly? If so, what equation shows how many would each of you get?
 Yes, 17 = 7 + 7.
 Yes, 17 = 9 + 9.
 Yes, 17 = 10 + 10.
 Yes, 17 = 8 + 8.
 Yes, 17 = 6 + 6.
 Yes, 17 = 5 + 5.
 No.
Solution
The number 17 cannot be split up into pairs, so it is odd.
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Better yet, memorize that numbers that end in 0, 2, 4, 6, or 8 are even :
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

And numbers that end in 1, 3, 5, 7, or 9 are odd :
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
2You and your friend want to split these stickers:
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Can this be done evenly? If so, what equation shows how many would each of you get?
 Yes, 20 = 7 + 7.
 Yes, 20 = 10 + 10.
 Yes, 20 = 8 + 8.
 Yes, 20 = 11 + 11.
 Yes, 20 = 9 + 9.
 Yes, 20 = 12 + 12.
 No.
Solution
You can look at 20 as: 10 pairs, or a pair of 10's (20 = 10 + 10). So it is even.
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Better yet, memorize that numbers that end in 0, 2, 4, 6, or 8 are even :
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

And numbers that end in 1, 3, 5, 7, or 9 are odd :
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20