Famous mathematicians
Number Theory
Geometry
Riddles
100
E = mc2
Einstein
100
Define 
to be 
for all real numbers 
and 
What is the value of
-2
100
At a store, when a length or a width is reported as inches that means it is at least 
inches and at most 
inches. Suppose the dimensions of a rectangular tile are reported as 
inches by 
inches. In square inches, what is the minimum area for the rectangle?
3.75
100
If there are four apples and you take away three of them, how many apples do you have?
3
200
a2 + b2 = c2
Pythagoras
200
Cities 
and 
are 
miles apart. Alicia lives in and Beth lives in . Alicia bikes towards at 18 miles per hour. Leaving at the same time, Beth bikes toward at 12 miles per hour. How many miles from City will they be when they meet?
27
200
The sum of two angles of a triangle is 
of a right angle, and one of these two angles is 
larger than the other. What is the degree measure of the largest angle in the triangle?
72
200
A couple went for a picnic. They have 5 sons and each son has three sisters. Each sister has one baby. In total how many people went for the picnic?
13
300
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Pascal
300
The 
integers from 
to 
inclusive, can be arranged to form a 
-by- square in which the sum of the numbers in each row, the sum of the numbers in each column, and the sum of the numbers along each of the main diagonals are all the same. What is the value of this common sum?
10
300
Six points are equally spaced around a circle of radius 1. Three of these points are the vertices of a triangle that is neither equilateral nor isosceles. What is the area of this triangle?
Hint: draw it!
√3 / 2
300
If Reema is the 50th fastest and 50th slowest runner in her school. How many students are there in the school?
99
400
0, 1, 1, 2, 3, 5, 8, 13, 21, 34...
Fibonacci
400
How many digits are in the base-ten representation of 
?
Hint: factor
18
400
A 
right triangle is inscribed in circle , and a 
right triangle is inscribed in circle . What is the ratio of the area of circle to the area of circle ? (Draw it out!)
Hint: Thale's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.
25/169
400
You want to boil an egg for two minutes. If there is only a three-minute timer, a four-minute timer, and a five-minute timer, how can you boil the egg for two minutes only?
Start 3 min timer and 5 min timer w/out boiling egg yet. When 3 min timer ends put egg in to boil and take out when 5 min timer ends.
500
ln(e) = 1
e = 2.71828...
Euler
500
How many three-digit positive integers 
satisfy the following properties?
- The number is divisible by
. - The number formed by reversing the digits of is divisible by .
14
500
A rectangular parking lot has a diagonal of meters and an area of 
square meters. In meters, what is the perimeter of the parking lot?
Hint: use binomial expansion (a+b)2 = ...
62
500
How can you get 720 by using six zeros and any mathematical operator?
(0!+0!+0!+0!+0!+0!)!
= (1+1+1+1+1+1)! = 6! = 720