Geometry Practice Questions by sir Elvin

If the length of a rectangle is 5 m less than twice the width, and the perimeter is 44 m long, find its length and width.

• The length is 9m and the width is 13m

• The length is 13m and the width is 9m

• The length is 5m and the width is 8m

• The length is 8m and the width is 5m

The second angle of a triangle is the same size as the first angle. The third angle is 12° larger than the first angle. How large are the angles?

• A1=56° , A2=56° , A3=68°

• A1=54° , A2=54° , A3=72°

• A1=52° , A2=52° , A3=76°

• A1=50° , A2=50° , A3=80°

The sum of the measures of the angles of an n-gon is 2340°. How many sides does this n-gon have?

• 12

• 13

• 14

• 15

The diameter of a penny is 0.750 inch and the diameter of a quarter is 0.955 inch. You put the penny on top and exactly in the middle of the quarter. Since the coin is smaller, it will not cover completely the quarter. What is the area of the portion that is not covered? Will the area change if the coin is not centered?

• 0.2745 sq.in,  Yes, the area of the uncovered portion would be different.

• 0.2745 sq.in, No, As long as the penny remains inside the quarter, the uncovered area stays the same.

• 0.3745 sq.in,  Yes, the area of the uncovered portion would be different.

• 0.3745 sq.in, No, As long as the penny remains inside the quarter, the uncovered area stays the same.

A surfer is riding on a semi-circular ramp with a radius of 12 feet. Determine the length of the ramp's curve in centimeters.

• 37.70 cm

• 113.01 cm

• 453.04 cm

• 1149.09 cm

In a folktale, a cunning fox tricks a wolf by running in a straight line away from it. If the fox runs 100 meters at an angle of 30 degrees from the wolf’s direction, how far has it escaped from the wolf?

• 10 m

• 25 m

• 50 m

• 85 m

A skateboarder is riding on a quarter-pipe with a semi-circular shape and a radius of 6 meters. Determine the circumference of the quarter-pipe in feet.

• 9.43 ft

• 23.94 ft

• 30.91 ft

• 45.85 ft

In a myth, a dragon’s lair is located atop a conical mountain with a radius of 50 meters and a height of 80 meters. Determine the volume of the mountain in cubic feet.

• 209439.51 cubic feet

• 686961.59 cubic feet

• 2253234.03 cubic feet

• 7390607.61 cubic feet

To photograph a rocket stage separating, Linda mounts her camera on a tripod. The tripod can be set to the angle at which the Stage will separate. This is where Linda needs to aim her lens. She begins by aiming her camera at the launch pad, which is 1500m away. The rocket stage will separate at 20 000 m. At what angle Should Linda set the tripod?

• θ=45.8°

• θ=85.7°

• θ=65.6°

• θ=75.5°

A photographer is capturing a panorama with a wide-angle lens. If the lens has an angle of view of 120 degrees, what is the angle formed between two opposite edges of the photo?

• θ=30°

• θ=40°

• θ=50°

• θ=60°