Math Club Jeopardy

Algebra

100

7x + 12 = 96

Find x

12

200

Find the vertex of the quadratic equation x² - 2x + 3 = 0

(1, 2)

300

f(x) = x^1/2 + 5

h(x) = 4x² - 4x + 1

Find the composite function fh(x) 

fh(x) = 2x + 4

400

g(x) = x⁶ - x⁴ - 50

Find g(3)

598

500

Calculator allowed

Tiana and Logan work together to make a cake. Logan can make a cake in 4 hours, and both of them together can make the cake in 1 hour. How long does it take Tiana to make a cake, to the nearest minute.

80 minutes

Geometry

100

What is the longest side in a right triangle called

Hypotenuse

200

True or False: A rectangle is always a regular quadrilateral

False

300

Name 2 points of concurrency in a triangle. (Double points if you can name 3, Triple points if you can name all 4)

Incenter, Circumcenter, Orthocenter, and Centroid

400

Given point A (3,4) and point A' (4,-3), what transformation has occurred

A rotation 270 degrees clockwise about the origin / a rotation 90 degrees counterclockwise about the origin.

500

Two adjacent sides of a triangle have lengths 12 cm and 15 cm with the angle in-between them being 30 degrees. Find the area of the triangle.

Double points if you can find the length of the third side of the triangle to two decimal places (calculator allowed)

45 cm²

6.45 cm

Arithmetic

100

500 - 72

428

200

300 - 3000 + 80

-2620

300

(3²+4) x 8 (1/2)

52

400

18 (9^3/2 - 7) + 300 - 70

590

500

8³ - 5³ + 7³ - 3³

703

Miscellaneous Math

100

What is the value of 5!

120

200

True or False: Sin (90*) = 1/2

False

300

How many times does the graph of y=x² intersect the graph of y = 3x

Double points if you can name an intersection point, triple points if you can name both intersection points.

2

(0,0) and (3, 9)

400

Simplify the expression x⁴ - y⁴ 

(x+y)(x-y)(x²+y²)

500

Calculator allowed

A circle has equation x² + y² - 4y = 21

Find the equation of the tangent line to the circle at the point (4.8, 3.4) in point-slope form

y - 3.4 = -24/7 (x - 4.8)

Trivia

100

Trivia Category: Geography

What was the name of the supercontinent before the splitting?

Pangea

200

Trivia Category: Books

What is the title of the famous book series by Rick Riordan called? (Double Points: Who are the three main characters?)

Percy Jackson. Percy, Annabeth, and Grover.

300

Trivia Category: Musicals

How many songs are in Hamilton?

46

400

Trivia Category: Movies

What is Flynn Rider's real name?

Eugene Fitzherbert

500

Trivia Category: Math

When was the number 0 invented? 

3 B.C.