Simple Math Jeopardy Game

Algebra

100

3x+1=7

x=2

200

2x²+y=10 x+y=4

x = 2 y = 2

300

log2(x+1)=3

x = 7

400

x⁴−16

(x²-4)(x²⁺4) = (x - 2)(x + 2)(x²+4)

500

x/(x-2) + 3/(x+2) = 10/(x²-4)

x = 5

Geometry

100

The sum of the interior angles of a polygon is 1080°. How many sides does it have?

8 Sides

200

Find the area of a trapezoid with bases 6 and 10, and a height of 4

Answer: 32 Square Units

300

A circle has a radius of 5. Find the length of an arc that subtends a central angle of 120 degrees.

10 pi over 3

400

A right triangle has legs of length 8 and 15. Find the radius of the circle that circumscribes it.

Circumradius - 17/2

500

In triangle ABC, AB=7, BC=9, and AC=10. Find the area using Heron’s formula.

30.6 square root of 936

Trignometry

100

sin 30 degrees

1/2

200

cos 45 degrees

square root 2 over 2

300

Solve for x in tan⁡ x = square root 3 for 0 < x < 360 degrees.

x = 60 or 240

400

Simplify sin⁡²x+cos⁡²x

1 (Pythagorean Identity)

500

arcsin(5/7)-arcsin(2sqrt(6)/7)=arcsin(x).    Find x

x=1/49

Calculus

100

Find the derivative of f(x)= x²

f′(x)=2x

200

∫3x²dx.

x³+ C

300

Derivative of f(x)=e^x+ln x.

f′(x) = e^x+1/x

400

Find the derivative of f(x)=5x3−4x+7

f′(x)=15x²−4

500

∫(x^7)(e^-x)dx.

5040

Probability and Statistics

100

A fair die is rolled. What is the probability of rolling a 6?

1/6

200

A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of randomly drawing a blue marble?

1/2

300

The mean of a dataset is 12, and the sum of all values is 96. How many data points are in the set?

n=96/12=8

400

In how many ways can 5 students be arranged in a line?

5!=120

500

A class has 10 boys and 15 girls. A team of 4 students is randomly selected. What is the probability that the team consists of exactly 2 boys and 2 girls?

0.3736