maath

Arithmetic

100

2 2/5 * 3 1/3

8

200

0.6 * 5.3

3.18

300

0.4^4

0.0256

400

1 billion - 1 thousand

999 million 999 thousand

500

1 / 7 (3 decimal places)

0.143 or 0.1428

Algebra I

100

5x + 0.5 = 5

x = 0.9

200

8x + 6 = 2(4x + 2)

no solution

300

3x + 4y = 6

4x + 3y = 1

x = -2

y = 3

400

x^2 - 5 = 0 (2 annswers)

x = +- sqrt5

500

slope of 2x + 3y = 4

-2/3

Geometry

100

how many edges does a cylinder have

2

200

sum of angles in a pentagon

540

300

an equilateral triangle with area 6 is inscribed in a square. what is the side length of the square?

2sqrt3

400

area of a trapezoid with top side length 3, bottom side length 5, and height 4

16

500

if a^2 + b^2 = c^2, can you have negative side lengths?

yes, the it just makes the triangle upside down for example.

random

100

Differential Calculus: If the derivative of x^2 is 2x, what is the derivative of y = x^2 + 5?

still 2x

200

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

300

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

400

Game theory: Is chess a zero-sum game?

yes

500

Limit Calculus: 1/3 + 1/6 + 1/12 + 1/24 + ...

2/3

random

100

Integral Calculus: What do you get if you cut up a shape into infinite slices and add them together?

The area

200

Complex Analysis: What is (2i)^5?

32i

300

Non-Euclidean Geometry: How is it possible for two straight lines to cross in two separate places?

If they're on the surface of a sphere (north pole to south pole)

400

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

500

Combinatorics: Are there more whole numbers from 1 to infinity or more decimal numbers between 0 and 1?

More decimals