Special Rights
Trigonometry
Area of 2D Shapes
Surface Area
Volume
100

What are the two types of special right triangles based on their angle measures?

What are 45°-45°-90° and 30°-60°-90° triangles?

100

What are the three primary trigonometric ratios?

What are sine, cosine, and tangent?

100

What is the formula for the area of a kite?

A= 1/2 d1 d2

100

What part of a 3D shape do you calculate when finding surface area?

What is the area of all the outer faces?

100

What is the name of the 3D shape that has two circular bases and a curved surface? 

What is a cylinder?

200

In a 45°-45°-90° triangle, if each leg is 1 unit long, what is the length of the hypotenuse?

What is √2?

200

In a right triangle, the opposite side is 5 and the hypotenuse is 13. What trig function would you use to find the angle?

What is sine?

200

Find the area of a trapezoid with bases 8 and 14, and a height of 5.

What is 55 square units?

200

What is the formula for the surface area of a rectangular prism?

S = L + 2B 

or

S = Ph +2B

200

What is the volume of a square pyramid with a base side of 6 m and a height of 9 m?

What is 108 m³?

300

In a 30°-60°-90° triangle, if the hypotenuse is 10, what is the length of the shorter leg?

What is 5?

300

In a right triangle, if tan(θ) = 3/4, what does that tell you about the opposite and adjacent sides?

What is the opposite side is 3 units and the adjacent side is 4 units?

300

A semicircle has a radius of 4 cm. What is its area?

What is 25.13 cm²? 

300

A cylinder has a radius of 3 in and a height of 10 in. What is its surface area?

What is 245.04 in²? 

300

A cylinder has a radius of 3 inches and a height of 10 inches. What is its volume?

What is 282.6 in³?

400

A right triangle has angles measuring 45°, 45°, and 90°, and a hypotenuse of 12. What is the length of each leg?

What is 6√2?

400

In a right triangle, the angle is 30° and the hypotenuse is 10. What is the length of the side opposite the angle?

What is 5?

400

What is the area of a triangle with a base of 10 units and a height of 6 units?

What is 30 square units?

400

A square pyramid has a base with 6 cm sides and slant height of 8 cm. What is its surface area?

What is 132 cm²?

400

A cone has a radius of 5 cm and a height of 12 cm. What is its volume?

What is 314 cm³?

500

A ladder leans against a wall forming a 60° angle with the ground. If the ladder is 8 ft long, how high up the wall does it reach?

What is 4?

500

In a right triangle, the adjacent side is 7 and the opposite side is 9. What is the measure of the angle? Round to the nearest degree.

What is 52 degrees?

500

A shape is made of a rectangle (6 by 4) attached to a semicircle with a radius of 3. What is the total area?

What is 38.14 square units

500

A cone has a radius of 6 cm and a slant height of 10 cm. What is its surface area?

What is 301.59 cm²?

500

What is Ms. Houk's summer job? And where?

What is a waitress at York Golf and Tennis Club?