Arithmetic
2 2/5 * 3 1/3
5x + 0.5 = 5
how many edges does a cylinder have
2
Differential Calculus: If the derivative of x^2 is 2x, what is the derivative of y = x^2 + 5?
still 2x
Integral Calculus: What do you get if you cut up a shape into infinite slices and add them together?
The area
0.6 * 5.3
3.18
8x + 6 = 2(4x + 2)
sum of angles in a pentagon
Computation Theory: If A xor B returns True if A and B are different and False if A and B are the same, what is True xor False xor True?
False
Complex Analysis: What is (2i)^5?
32i
0.4^4
0.0256
3x + 4y = 6
4x + 3y = 1
x = -2
y = 3
an equilateral triangle with area 6 is inscribed in a square. what is the side length of the square?
2sqrt3
Probability: If I have the numbers 1-9 in a bag, what is the probability that I pull out two numbers divisible by 3 in a row?
1/12
Non-Euclidean Geometry: How is it possible for two straight lines to cross in two separate places?
1 billion - 1 thousand
999 million 999 thousand
x^2 - 5 = 0 (2 annswers)
x = +- sqrt5
area of a trapezoid with top side length 3, bottom side length 5, and height 4
16
Game theory: Is chess a zero-sum game?
yes
Number Theory: A perfect number is one where the number equals the sum of all its factors (except itself). For example, 1 = 1 and 6 = 1 + 2 + 3. What is the next perfect number?
28
1 / 7 (3 decimal places)
0.143 or 0.1428
slope of 2x + 3y = 4
-2/3
if a^2 + b^2 = c^2, can you have negative side lengths?
yes, the it just makes the triangle upside down for example.
Limit Calculus: 1/3 + 1/6 + 1/12 + 1/24 + ...
2/3
Combinatorics: Are there more whole numbers from 1 to infinity or more decimal numbers between 0 and 1?
More decimals