MAO Taylor High School

Geometry

Algebra

Trigonometry

Probability & Statistics

Random Trivia

100

Triangles can be described in multiple ways depending on their angles. Assume a triangle ABC. Its legs are of lengths 2, 2, and 3. What type of triangle is it?

Acute or isosceles

100

A letter (or shape) that represents a number.

variable

100

Write down all 6 trigonometric functions. They must be written in the full name and spelled correctly. (Legible as well)

cosine, sine, tangent, secant, cosecant, cotangent

100

You have to roll a die, but your best friend rigged the die. Instead of having the classic 1, 2, 3, 4, 5, and 6, your die has 2, 2, 3, 4, 5, 6. What is the probability that you roll an even number? Your answer must be simplified.

2/3

100

In which nation did the woven-yarn craft of "God's eyes" originate?

Mexico

200

One of the easiest circle theorems to remember is to do with angles in a semi-circle. If two straight lines are drawn from either end of the diameter of a circle and meet at a point on the circumference, what will the angle always be?

90 degrees

200

Basic algebra includes solving for unknown variables. If a + 54 = 5a - 18, then the value of 'a' is...

200

When calculating sine, cosine, or tangent for any value, mathematicians use the unit circle. For example, sine would be described as y and cosine as x. What is the radius of the unit circle?

200

The number of points scored in an NBA season for a team has the following statistics: Games played is 82, mean = 99.6, mode = 104, and median = 102. How would you describe a graph of this data?

THe possible right answer choices are skewed left, skewed right, and normal.

skewed left

200

Hestia is the daughter of which two titans? If you can name both, you will get double points.

Cronus and Rhea

300

In geometry, you will learn a variety of formulas, including those that can be easily proven as well as those that can't. What is the midpoint formula?

300

Not only does algebra include finding unknown numbers, but also coming up with equations through word problems. For instance, the sum of two numbers is 74. The difference between the two numbers is 16. What are the two numbers?

29 and 45

300

What is sin(2850 degrees)?

-1/2 or -0.5

300

In statistics, the mean is the sum of all the observations divided by the number of observations. In other words, the mean is the average value of a set of data. The mean of a set that consists of five data points is 20. You are also given that three of the five data points are 5, 15 and 30. The remaining two numbers share the same value, which is ___.

300

What is the tenth sign of the zodiac?

capricorn

400

Angles are typically described in 2 different fashions: degrees and radians. Along those lines, what is the supplement of 75 degrees, in radians, your answer must be simplified? (You may leave your answer in terms of pi)

7pi/12

400

Euler has a pattern of cans. The first can has 2 balls inside. The second has 5 markers. The third has 8 bananas, and the fourth has 11 children captured inside. When "n" represents the position of the can in his collection (the can with markers would be 2 since it is the second can), how would you represent the number of objects in each can using n?

3n-1

400

In order to transform a sin graph into a cosine graph, what is the SHORTEST shift possible, giving both direction and magnitude in radians?

-pi/2 or left pi/2

400

Combinatorics: Assume the balls are indistinguishable in all aspects except color. In an urn with 5 black balls and 3 white balls, how many ways can you pick 2 black balls and 1 white ball at once?

400

Leukophobia is the fear of what?

Hint: its a color

white

500

The most familiar polyhedron is the regular hexahedron. What is the more common name of the regular hexahedron?

cube

500

A man bought a watch, chain, and a locket for 216. The watch and locket together cost three times as much as the chain, and the chain and locket together cost half as much as the watch. What was the price of each?

144, 54, 18

500

What is sin(15 degrees)? Fully simplify and remove square roots from the denominator.

$\sin { \left( 15 \right) } \\ \\ =\sin { \left( 45-30 \right) } \\ \\ =\sin { \left( 45 \right) \cos { \left( 30 \right) -\cos { \left( 45 \right) \sin { \left( 30 \right) } } } } \\ \\ =\frac { \sqrt { 2 } }{ 2 } \cdot \frac { \sqrt { 3 } }{ 2 } -\frac { \sqrt { 2 } }{ 2 } \cdot \frac { 1 }{ 2 } \\ \\ =\frac { \sqrt { 6 } }{ 4 } -\frac { \sqrt { 2 } }{ 4 } \\ \\ =\frac { \sqrt { 6 } -\sqrt { 2 } }{ 4 }$

500

You pick two cards out of a standard pack of 52. The first card is a king. What's the probability of the second card also being a king? If possible, simplify.

1/17

500

Who was the father of Cleopatra's twins?

Mark Antony