MHS Jeopardy

Functions

100

What is the value of f(3) if f(x)=2x+5?

11

200

Find the inverse of f(x)=3x−7.

f^-1(x)=(x+7)/3

300

What is the domain of f(x)= 1 / (x²-9)?

All real numbers except x=±3

400

If f(x)= x² + 2x, find f(f(1)).

15

500

A quadratic has roots 2 and –5. If its leading coefficient is 2, find the equation.

y=2(x−2)(x+5)

or expanded:

y=2x²+6x−20

Geometry

100

What is the sum of interior angles of a triangle?

180°

200

Find the area of a circle with radius 4.

16π

300

A right triangle has legs 6 and 8. Find the hypotenuse.

10

400

What is the volume of a sphere with radius 3?

36π

500

A regular hexagon has side length 6. Find its perimeter and area.

Perimeter = 36

Area: 54√3

Probability & Statistics

100

What is the probability of rolling a 4 on a fair six-sided die?

1/6

200

Find the mean of 3, 7, 8, 12.

7.5

300

A coin is flipped 3 times. What is the probability of getting exactly 2 heads?

3/8

400

What is the median of: 5, 9, 12, 15, 20, 21?

13.5

500

A class has mean score 72. One student with score 90 joins, increasing the mean to 73. How many students were originally in the class?

17

Algebra

100

Solve:

2x+3=11

x=4

200

Factor:

x²−9

(x+3)(x-3)

300

Solve:

x²−5x+6=0

x = 2,3

400

Simplify:

(x²−16) / (x+4)

x−4

(for x≠−4)

500

Solve:

2^x+1=32

x=4

Number Theory / Logic

100

Is 97 prime or composite?

Prime

200

Find the greatest common divisor of 24 and 36.

12

300

What is the remainder when 37 is divided by 5?

2

400

Find the units digit of: 7¹²

1

500

How many positive factors does 72 have?

12