Even and Odd Numbers — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. If you add an even number and an odd number, the result is always which type?
A) Even
B) Odd
C) Zero
D) It depends on the numbers
An even number splits into pairs and an odd number leaves one extra. Adding them keeps that extra unpaired, so the total is always odd — for example, 4 + 3 = 7.
2. What is the next even number after 46?
A) 45
B) 47
C) 48
D) 50
Even numbers go up by 2, so the next even number after 46 is 46 + 2 = 48.
3. Sam has 15 marbles. Can he split them into two equal groups with none left over?
A) Yes, because 15 is greater than 10
B) Yes, because 1 + 5 = 6
C) No, because 15 is an odd number
D) No, because 15 is less than 20
15 is odd because it ends in 5, and odd numbers cannot be split into two equal whole groups — one group would always end up with one more marble than the other.
4. Which pair of numbers are both odd?
A) 22 and 35
B) 41 and 63
C) 58 and 71
D) 14 and 29
For both numbers in a pair to be odd, both must end in 1, 3, 5, 7, or 9. 41 ends in 1 and 63 ends in 3, so they are both odd.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Adding two odd numbers always gives an even number.
Each odd number is a pair plus one extra. Two odd numbers together give two extras that pair up with each other, so the sum is even — for example, 3 + 5 = 8.
2. The next odd number after 72 is 73.
72 is even, and the next odd number is just one more: 72 + 1 = 73.
3. The number 88 is even because it ends in 8.
88 ends in 8, and any number ending in 0, 2, 4, 6, or 8 is even, so 88 is even.
4. If you subtract an odd number from an even number, the answer is odd.
An even number is made of pairs. Taking away an odd number removes some pairs and one extra, which leaves an unpaired piece behind, so the result is odd. For example, 10 − 3 = 7.
5. The even number just before 31 is 30.
31 is odd, so the even number right before it is just one less: 31 − 1 = 30.