Trig Showdown
Radius and Riddles
Pi in the Sky
3D Geometry Zone
Totally Irrelevant
100

Find the value of the x in a triangle with a side length of 5 and a hypotenuse of 13.

x=12

100

What is the name for a line that touches a circle at two points? 

secant line

100

What is the circumference of a circle?

C=2*pi*r

100

Find the volume of the cylinder with a diameter of 10 and a height of 9.1.

Volume = 714.71

100

Which continent contains the largest desert?

Antarctica

200

Find the geometric mean of the number pairs. 

9 and 12

6√3

200

What is the name of the line segment that cuts the circle in half? 

the diameter

200

What is the area of a circle? 

A = pi*r2

200

Find the volume of the pyramid with a square base that has a side length of 9 and the height is 7. 

Volume = 189

200

What is the main gas found in the air we breathe?

Nitrogen

300
Find the measure of angle B. 


cosB=0.1653

b=80.5 

300

What are the requirements for a minor and a major arc?

Minor arc is less than 180 degrees. Major arc is more than 180 degrees. 

300

Convert degrees to radians.

55 degrees

0.96

300

Find the volume and the surface area of the cone that has a radius of 10 and a height of 13. 

Surface Area = 829.42

Volume = 1361.36

300

What is the capital of Canada?

Ottawa

400

What is the mnemonic/acronym used for our trig ratios?

SOH CAH TOA

400

Write the equation of a circle with center (3,-5) and a radius of 4 in standard form. 

(x-3)2+(y+5)2=16

400

Find the area of the kite with diagonals of 15 and 14.

Area = 105

400

Pyramid A and Pyramid B are similar. Pyramid A has a height of 6. Pyramid B has a height of 15 and a volume of 312.5. Find the volume of Pyramid A.

Volume = 20
400

What are the primary colors?

Red, blue, and yellow

500

Tell whether the triangle is acute, right, or obtuse with the given side lengths.

9, 12, 17

obtuse

500

What is the radius of this circle in standard form?

(x-4)2+(y+1)2=225

r=15
500

Find the area of a regular pentagon that has a side length of 8 and an apothem of 5. 

Area = 100

500

Find the surface area and volume of the sphere that has a diameter of 5. 

Surface Area = 78.54

Volume = 65.45

500

How many bones are in the adult human body? 


(Closest team gets the points)

206

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