Algebra
Geometry
Statistics
Calculus
Competition
100

The solution to the equation (x-2)2

What is x=2 ?

100

A rectangle is formed with a width of 5 inches and a length of 8 inches, the area is:

What is 40 square inches?

100

True or False: Mean and median are always equivalent.

What is False?

100

The value of (the integral from 67 to 67 with respect to x) [sin3(x)cos2(x) + (cx71)/(cot2(3x+e-x))] if c is a constant

What is 0?

100

Yesterday's day if tomorrow is Saturday

What is Thursday?

200

i75 = ?

What is -i?

200

The total distance between the points (4,3) and (1,-1)

What is 5 units?

200

The median of the following data set: 1 2 2 4 6 7

What is 3?

200

Average value of the function f(x) = 9x2 from the values [0, 3] is:

What is 27?

200

If Andrea randomly chooses two distinct elements from the set {1, 2, 3, 4}, the sum of the least possible and greatest possible products.

What is 14 (12+2)?

300

The 5th row of Pascal’s Triangle?

What is 1, 5, 10, 10, 5, 1 ?

300

The sum of length of the two congruent sides of an isosceles triangle with a base of 16 inches and a height of 15 inches.

What is 34 in?

300

A bag contains 4 blue marbles and 6 red marbles (assume there are no other marbles in the bag). The probability of drawing a blue marble is:

What is 0.4?

300

 If f(x) is the (the integral from 0 to x3 with respect to t) [1/(1+ln(t))],  f'(2) is:

What is f(x) = 1/(1+ln(8) ?

300

A rectangle has a width of 10 cm and a length of 15 cm. If each side is doubled in length, the area of the new rectangle.

What is 600 cm^2 ?

400

The function to represent the temperature, in Celsius, of a hot-plate after being dunked into the water D(t)=256(.25)t/11.1 for t seconds. If the hot-plate has been dunked in the water for 22.2 seconds, the temperature of the hot-plate is:

What is 16 degrees Centigrade?

400

Two tetrahedra are congruent. One tetrahedron is glued to the other so that the glued faces of the two tetrahedra completely cover each other, producing a new polyhedron. The number of faces the new polyhedron has is:

What are 6 faces?

400

If the mean of the following data set is 4, calculate the value of x.

Set: 1, 4, 3, 2, x

What is 10?

400

The convergence of the following series (the sum as n=1 to infinity of [1/n])?

What is 'it diverges'?

400

This rectangular prism has integer edge lengths, and the three distinct faces of the prism have areas 35 in^2, 45 in^2 and 63 in^2, the volume of the prism.

What is 315 in^3?

500

The product of multiplying the two matrices:
1 2 0

0 1 2


2 1

1 4

What is Undefined?

500

 A circle with a center at the point (4,3) and a radius of r is drawn. A line tangent to the circle at the point (0,6) is also drawn. The slope of the line tangent to the circle at (0,6) is:

What is 4/3 ?

500

Two dice are rolled. The probability of getting doubles (two of the same number) is:

What is 1/6 ?

500
The slope field of (dy)/(dx) = xy +x

What is (just show the paper we'll see) ?

500

In a bag, there are 12 purple, 7 green, 11 blue and 3 pink marbles. If you select two marbles at random from the bag, without replacement, the probability that you will choose first a pink marble and then a purple marble as a common fraction.

What is 3/88 ?