Divisibility
24
Illogical Reasoning
Potpourri
100

The divisibility rule for 3.

What is add up the digits and if the sum is a multiple of 3, then the number is divisible by 3?

100

8, 3, 1

What is 8 x 3 x 1?

(or other answers to equal 24)

100

You are driving a bus that has several stops. At the first stop, 12 people get on. At the second stop, 4 people get off and 6 more get on. At the third stop, 10 people get on and 8 get off. How old is the bus driver?

What is 11?

Or 10 if you haven't had your 11th birthday yet.

100

The first 3 prime numbers.

What are 2, 3, and 5?

200

The number that is divisible by 3: 329, 541, 804, 1208.

What is 804?

200

2, 6, 8, 8

What is 2 + 6 + 8 + 8?

200

A farmer has 19 sheep on her farm. One day, a big storm sweeps through and her fence breaks. All but 7 sheep run away. This many sheep are left.

What is 7?

200

The perimeter of a square with an area of 36.

What is 24?

300

Besides 1 and 267, these are the factors of 267.

What are 3 and 89?

300

1, 5, 6, 8

What is (8 - 5 +1) x 6?

Or other accurate answers.

300

You plant sunflower seeds in your back garden. Every day, the number of flowers doubles. If it takes 52 days for the flowers to fill the garden, this is the day when the garden was half full of sunflowers.

What is Day 51?

300

The first 3 prime numbers over 100.

What are 101, 103, and 107?

400

The factors of 1919.

What are 1, 19, 101, and 1919?

400

2, 8, 8, 9

What is (9 - 8 + 2) x 8 = 24?

Or other valid answers.

400

Your sock drawer only contains 18 white socks and 18 blue socks. You need to reach into the drawer this many times to be sure that you will have a matching pair.

What is 3?

400

The last Friday of November is on the 25th day of the month. This day is the first day of November.

What is Tuesday?

500

If a number is divisible by 64, it is also divisible by these numbers.

What are 1, 2, 4, 8, 16, 32, and 64?

500

3/4, 2, 6, 6

What is (6 divided by 3/4) x (6 divided by 2)?

Or other valid response.

500

The number of 3-cent stamps that are in a dozen.

What is 12?

500

Three words that describe Math Olympiad. 

What are fun, fun, and fun?

Or any other reasonable answer.