Practice Parity (Even/Odd) in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The classification of integers as even (evenly divisible by 2, with no remainder) or odd (not divisible by 2).
Can you split it into two equal groups? Yes = even, no = odd.
Showing a random 20 of 50 problems.
Example 1
mediumIf is even and is odd, what is the parity of ?
Example 2
easyWhat is the parity of the product ?
Example 3
easyWhat is the parity of ?
Example 4
mediumProve that is always even for any integer .
Example 5
easyWhat is the parity of ?
Example 6
hardIn a chessboard tour, a knight alternates between dark and light squares. After moves, can the knight return to its starting square?
Example 7
easyIs even or odd?
Example 8
easyWithout fully computing, determine the parity (odd or even) of and of .
Example 9
easyIs even or odd?
Example 10
mediumWithout computing, find the parity of .
Example 11
easyIs even or odd?
Example 12
mediumIf and are both odd, what is the parity of and of ?
Example 13
mediumTwo integers have an even sum. What can you say about their parities?
Example 14
easyWhat is the parity of ?
Example 15
easyClassify each as odd or even without fully computing: (a) , (b) , (c) .
Example 16
challengeProve that the product of two odd numbers is always odd.
Example 17
mediumIf is odd, what is the parity of ? Of ?
Example 18
easyIs the sum odd or even?
Example 19
easyWhat is the parity of ?
Example 20
challengeIn a room, people shake hands; each handshake involves two people. Use parity to show the number of people who shook an odd number of hands is even.