Math Club Jeapordy

Algebra

100

5^2x+1=125, Find x

x=1

200

What is the largest answer of x² + 4x + 9 = 21

2

300

The equation x^2 - Ax + 25 has only one real root, what are the possible values for x

10, -10

400

Factorize X^3 - 4X^2 + 3X

(X-1)(X-3)X

500

What are the real roots of the polynomial:

 x⁴-10x²+9

x= -3
x=-1
x=1
x=3

Geometry

100

What do we call a triangle that has all same length sides?

Equilateral triangle

200

Find the area of a sector with a radius of 6 and a central angle of 60 degrees

A=(θ/360)* (π)r²

= 6π

300

3.  There exists a right circular cylinder with diameter 6 and height 9. If point  O is the center of the top of the cylinder and B lies on the circumference of the bottom of the cylinder, what is the exact (simplified) straight-line distance between O and B?

3√10

400

What is the coordinate of each A and B?

(-2, 8), (10, 4)

500

What do we call a geometry that studies geometrical shapes (plane and solid) and figures based on different axioms and theorems?

euclidean geometry

Trignometry

100

What is Sin30?

1/2

200

What is sin35^2 + cos35^2? (In degrees)

1

300

sin35 equals to cosx. What is x?(In degrees)

55 

400

Sin50 is 2/5. What is Sin40? 

(√21) / 5

500

In right triangle PQR side PQ has length 12cm and the hypotenuse PR has length 13 cm. Find tan (P) - cot (R)

0

Functions

100

This line passes (5, 0) and is perpendicular to x axis. Define the function of this line

x = 5

200

The linear line passes (5,2), (1, 4). What is the function of this line?

-1/2(x - 1) + 4

300

Find out where point E and B is.

(-3, -5), (2,0)

400

What is inverse of the function y = x² + 4x + 4?

(√x ) - 2

500

 When a function depends on several arguments, we call that function a...

Multivariate function

Statistics probability

100

What is the chance of getting a head when flipping non-biased coin?

1/2

200

What is the chance of getting 1 or 3 when rolling a dice?

1/3

300

Boy rolls two dice. What is the chance he gets the sum of 8?

5/36

400

A box contains 5 red balls and 7 blue balls. Three balls are drawn randomly without replacement. What is the probability that at least one of the drawn balls is blue?

21/22

500

 There are 12 marbles in a bag. There are n red marbles and the rest are blue marbles. Nico takes 2 marbles from the bag. Write an expression involving n for the probability that Nico takes one red marble and one blue marble.

(n(12-n))/66