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.
Example 1
easyWithout fully computing, determine the parity (odd or even) of 2{,}345 + 6{,}782 and of 7 \times 14.
Example 2
mediumProve that the sum of any two consecutive integers is always odd.
Example 3
easyClassify each as odd or even without fully computing: (a) 100 + 201, (b) 6 \times 7 \times 8, (c) 15^2.
Example 4
mediumIn a group of 50 people, each person shakes hands with every other person exactly once. Is the total number of handshakes odd or even? (Hint: use the formula \frac{n(n-1)}{2}).