Geometry Unit Test

Calculate the value of x°

• 76°

• 38°

• 52°

• 60°

In the diagram, JK = LM = 24, NP = 3x, and NQ = 7x − 12. Find the radius of ⊙N.

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º

Find the surface area of the figure.

• 700

• 650

• 600

• 550

The area of the figure given is ..........Sq.mi. Write your answer to nearest tenth place of decimal

Cylinder A and cylinder B are similar.The volume of cylinder B is .......cu.cm.

(Write your ans in terms of π)

The volume of the prism given in diagram is .........cu.cm

A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. The wheel makes 87 complete revolutions along the length of the path. To the nearest foot, how long is the path?(1 feet=12 inches)

• 180

• 172

• 182

• 176

A regular nonagon is inscribed in a circle with a radius of 4 units. Find the area of the nonagon.

A cat eats half a cup of food, twice per day. Will the automatic pet feeder hold enough food for 10 days? Explain your reasoning.(1 cup ≈ 14.4 in.^3)

(Inst: Write your working steps over space provided on image.)