Logic
What has a greater area: a square of side length 2 or a line of length 5?
The square
How many students are registered in this class?
26
What is the inverse operation of "quarter"?
Quadruple
What are the 5 Instructors Names? (point to them while you say the answers
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
How many classes have we had this semester? (including this one)
8 Classes
What is the biggest number that has the same value in binary and base 10?
1
How many symbols are there in the Egyptian representation of 2026?
10
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
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)
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
How Many Pounds of Candy are given out every year on halloween in the US?
600 million (+- 50 mil will be accepted)
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.
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
Prove b^x * b^y = b^(x+y)
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