Math Riddles
(Also known as: random.)
IT'S JUST A THEORY.
A NUMBER THEORY.
Serieses
We <3 gambling (jk?)
Math Circle Facts
100

A farmer has 17 sheep, and all but 9 run away. How many sheep does he have left?

What is 9?

100

This is the smallest positive integer that has exactly three positive divisors.

What is 4?

100

This is the number in the blank.

 -7, ___, 3, 8 

What is -2?

100

You flip a coin and it lands heads 8 times in a row. This is the probability that the next flip will be a tails.

What is 0.5?

free points !

(if you get this question wrong lord help you)

100

The number of middle schools in Arcadia that have math circles.

What is 3?

200

I’m a two-digit even number. I’m equal to 7 times the sum of my digits. This is my smallest possible value.

What is 42?

200

This is the number of integers between 1 and 100 that are divisible by neither 2 nor 5.

What is 40?

200

This is the sum of the series 1, 3, 5, 7…99.

What is 2500?

200

Avik rolls two dice. This is the probability that the absolute difference of his dice (positive difference) is less than 3.

What is 5/6?

200

The respective grades of your instructors.

What is 12,12,10?

300

This is a three-digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less than my tens digit.

What is 194?

300

This is the smallest positive integer x such that x≡ 3 mod  4 and x≡ 1 mod 5.

What is 21?

300

Ethan is building triangular pyramids of ornges. If the first pyramid has 4 ornges and the second has 10 ornges, this is the amount of ornges in the third pyramid.

What is 20?

300

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. This is the number of cards in the deck.

What is 47?

300

This is what the AMSMC stands for.

What is the Arcadia Middle School Math Challenge?

400

How many sides does a circle have?

2

400

This is the largest number of books that cannot be purchased using boxes of 6 and 9.

What is 33?

400

This will be the 8th term of the series …9, 6, 4…. if 9 is the 3nd term.


3nd

yes

What is 32/27?

400

Ethan rolls two fair 6-sided dice. If the sum is 7, he wins $10. Otherwise, he loses $1. Is this game in his favor? (Expected Value = sum of (value * probability))

Yes. The expected value of each roll is $0.83.

400

This is the number of different math circles instructors that have come to Foothills this year.

What is 6?

500

You see a clock showing 3:15. This is the angle between the hour and minute hands.

What is 7.5 degrees?

500

This is the units digit for 72023.

What is 3?
500

A ball is dropped from a height of 12 ft, and each time it strikes the ground, it bounces back to a height of three-fourths the distance from which it fell. Find the total distance traveled by the ball before it comes to rest.

What is "light work 84."?

500

If Cath Wonder Picks for Pokemon TCG 5 times (each with a hit rate of ⅕), this is the probability that in total she gets 2 hits and 3 regular cards. (equation accepted)

What is 5C2 * (1/5)* (4/5)3?

Or 0.2048

500

The number of meetings we've had this year.

What is 11?