Logic
Geometry
Misc.
Algebra
Random things we have discussed this Year
100

What has a greater area: a square of side length 2 or a line of length 5?

The square

100

How many students are registered in this class?

26

100

What is the inverse operation of "quarter"?

Quadruple

100

What are the 5 Instructors Names? (point to them while you say the answers

Niko, Boyan, Max, Kiana, Blanca
200

A ghost tells you it will give you a trick or a treat. You revieve both a trick and a treat. Is the ghost a liar?

No

200

How many classes have we had this semester? (including this one)

8 Classes

200

What is the biggest number that has the same value in binary and base 10?

1

300

How many symbols are there in the Egyptian representation of 2026?

10

300

Niko leaves his home at 9:15 and drives to math circle, which is, for the purposes of the problem, 15 miles away. He goes at a speed of 30 miles per hour. How early for class will he be?

15 minutes

400

What is the negation of the statement "a triangle has no sides of equal length"?

A triangle has at least two sides of equal length (it is isosceles)

400

A cube crosses Flatland and appears to the people in Flatland as a 2D shape. What is the highest number of sides this shape could have?

6 sides

400

How Many Pounds of Candy are given out every year on halloween in the US?

600 million (+- 50 mil will be accepted)

500

You are given an unlimited supply of water and exactly two unmarked buckets:

One 5-gallon bucket and One 3-gallon bucket

How can you measure out exactly 4 gallons of water?

1. fill the 5-gallon bucket completely and pour it into the 3-gallon bucket

2. empty the 3-gallon bucket, pour those remaining 2 gallons into it, and refill the 5-gallon bucket to the top.

3.Finally, pour water from the full 5-gallon bucket to top off the 3-gallon bucket (which only takes 1 gallon), leaving you with exactly 4 gallons in the 5-gallon bucket.

500

An ant is on the corner of a filled in cube floating in space. How many shortest possible paths are there for the ant to reach the opposite corner?

6 paths

500

Prove b^x * b^y = b^(x+y)

b*b*b*b x times * b*b*b y times, therfore if you counted how many b's there were it would equal x+y, hence it would be b^(x+y)
500

Jack arrives at the doubling bridge with $7 and crosses it until he has no money. How much money will the goblin make? (He takes $8 every time Jack crosses the bridge.)

$24