Math Club Jeopardy

Integrals

100

Integral from 0 to 1 of x²dx

1/3

200

Integral of e^2xdx

(1/2)e^2x + C

300

Integral from 1 to e of (1/x) dx

1

400

Integral from 0 to 1 of ln(1 + x) dx

2ln(2)-1

500

Integral from 0 to ∞ of x e^-xdx

1

Geometry

100

Area of a circle with radius 2r

4πr²

200

Right triangle has sides of length 5 and 12. Find the length of the hypotenuse.

13

300

Sum of interior angles of a hexagon

720 degrees

400

A square is inscribed in a circle of radius r. Find the side length

r*sqrt(2)

500

A cube has side length 1. What is the distance between opposite vertices

sqrt(3)

Probability

100

Roll a die. Find the probability of an even number

1/2

200

Two coin flips. Find probability of exactly one head

1/2

300

Formula to find the number ways to select a subset of k elements from a set of n elements

binomial coefficient of (n,k) 

i.e. (n!)/((k!)(n-k)!)

400

You roll two dice. Find the probability the sum is 7

1/6

500

You roll two fair dice. Given that the sum is 8, what is the probability that both dice show the same number?

1/5

Mental Math

100

27 × 4

108

200

15²

225

300

99 × 101

9999

400

2^11

2048

500

37 × 27

999

Math History

100

The inventor of calculus?

Isaac Newton

200

Prince of Mathematics?

Carl Friedrich Gauss

300

This mathematician introduced the notation e for the base of natural logarithms and i for the imaginary unit

Leonhard Euler

400

This mathematician at NASA calculated orbital trajectories for early space missions, including John Glenn’s flight.

Katherine Johnson

500

Proved that there are infinitely many primes

Euclid