Algebra
Geometry
Counting/Probability
Number Theory
Random
125

15 seconds: Find all zeros: x^2+7x+6=0

-1, -6

125

15 seconds: A circle is inscribed in a square of area 16. What is the circle's area?

4pi

125

15 seconds: What is the probability of rolling an 11 or 12 with two standard six-sided dice?

1/12

125

15 seconds: How many factors does 42 have?

8

125

15 seconds: What is the units digit of 69^420?

1

250

30 seconds: What is the coefficient of the third term of (2x+3)^5?

720

250

30 seconds: What is the angle of a sector with a radius of 5 feet and an arc length of 10 feet?

1/2 radians 

250

30 seconds: Bryan buys roses for his valentine, Adam. He can choose from 7 different colored roses. How many combinations of three flowers can he buy if he must have 3 different colored roses?

35

250

30 seconds: What is: ((the smallest prime number)(the fourth smallest prime number)-the third smallest prime number)/(the second smallest prime number)?

3
250

30 seconds: How many ways can you rearrange the letters in glllenn?

420

375

45 seconds: Factor x^3-216 in simplest form.

(x-6)(x^2+6x+36)

375

45 seconds: The length of a rectangle is 1 more than 9 times its width. What is the sum of the length and width of the rectangle?

51

375

45 seconds: What is the probability of rolling a six-sided die six times and landing on every number? Express your answer as a common fraction.

5/324

375

45 seconds: How many composite numbers are there between 0 and 30?

19

375

45 seconds: Express 7.6666666... as a common fraction.

23/3

500

60 seconds: What is the slant asymptote of the equation (2x^3-18x)/(3x^2-48)

(2x)/(3)

500

60 seconds: Find the semi perimeter of a right triangle with the two shortest sides equaling 3 and 4. 

6

500

60 seconds: A frog starts at one of the 4 central lily pads in a 4-by-4 array of lily pads. It can hop one space vertically, horizontally, or diagonally. What is the probability the frog hops into the water in 2 jumps? Express your answer as a common fraction.

17/64

500

60 seconds: What is the units digit of (4!)^(3!)^(2!)^(1!)?

6

500

60 seconds: What is the minimum value of 210x^2+420x+3000?

2,790

750

90 seconds: Find the point of the hole in the equation (x^2 - 9)/(x^3 + 3x^2 - 16x - 48)

(-3, 6/7)

750

Find the surface area of a cylinder with a volume of 729pi and with an equal height and radius.

324pi

750

90 seconds: A TV costs $169. If the buyer can only pay using $5 and $2 bills, in how many different ways (arrangements of 2 and 5 dollar bills) can the buyer purchase the TV?

33

750

90 seconds: What is the product of the first 8 prime numbers? 

9,699,690

750

90 seconds: What is the sum of the first 10 cubed positive integers?

3,025