Circle Properties
Probability
Area
Volume
Sin/Cos and Trig
100

The difference between a chord and a secant.

What is a secant exits the circle, while a chord does not?

100
You roll a die 4 times. This is the probability of rolling a 1 every time.
What is 1/1296?
100
One square foot is this many square inches.
What is 144?
100
A regular triangular prism has a side length of 2 and a height of 4. This is the volume written with square root.
What is 4√3?
100

The sine of an angle is 3/5. This is the cotangent of that angle.

What is 4/3?

200
An angle inscribed in a circle has this relationship with the arc that it intercepts.
What is it has one half the value of the arc?
200
A jar is filled with 5 red marbles, 7 green marbles, and 8 blue marbles. If you pull out a marble (and put it back) 100 times, this is how many times you would expect to pull a red.
What is 25?
200

An equilateral triangle is inscribed in a circle with radius 10. This is the area of the triangle as a reduced root.

What is 75√3?

200
One cubic foot is this many cubic inches.
What is 1728?
200

The three sides of a triangles measure 3,4, and 10. These are the angles of the triangle.

What is this is an impossible triangle?

300
A parallelogram inscribed in a circle has this property.
What is it is a rectangle?
300
A player rolls two dice. This is the probability of rolling a product that is a factor of 4. (as a fraction)
What is 1/6?
300

The surface area created by two congruent cones attached at their bases, each with a radius of 2 and height of 4. (written in terms of π and reduced square root).

What is 8π√5?

300
A solid cone has a volume of 84π and a height of 7 cm. Find the radius.
What is 6?
300

The value of side c in a triangle where angle C=40 degrees, angle A = 30 degrees and side a is 2 inches (to the nearest tenth)

What is 2.6 inches?

400
A large clock on has a minute hand that is 4 feet long. The length of the arc traveled by the tip of the minute hand is 1.6π. This is the number of minutes that have passed.
What is 12?
400
You roll two dice. If you roll a sum of 8 you score 10 points. Otherwise you lose two points. This is the average score per roll as a reduced fraction.
What is -1/3?
400

A regular hexagon has an area of54√3. This is the side length.

What is 6?

400

A rectangular prism with a 6x3 base and height of 10 has a hole all the way through (from top to bottom) in the shape of a cylinder with radius 2. This is the volume of the prism in pi form.

What is 180 - 40π?

400

The secant of an angle is 13/5. This the measure of the angle (to the nearest tenth).

What is 67.4 degrees?

500
Two secants of a circle intersect outside of the circle. One segment has an internal portion of length x+10 and an external portion of length 6. The other has in internal portion of length x+20 and external portion of length 5. What is the value of x?
What is 29?
500
This is the probability that if you roll two dice two times, you will roll a sum of 6 on the first roll and a product that is a factor of 6 on the second roll. (as a reduced fraction)
What is 5/144?
500

A rectangular prism with a 6x3 base and height of 10 has a hole all the way through (from top to bottom) in the shape of a cylinder with radius 2. This is the surface area of the prism in pi form.

What is 216 + 32π?

500

A cube with side length 5 is inscribed in a sphere. This is the radius of the sphere as a reduced root.

What is 2.5√3?

500

The sides of a triangle are 2, 3, and 4. These are the angles (to the nearest whole number).

What are 104, 47 and 29?