Practice Quiz 3

Anna is planning to fence off a rectangular garden plot in her backyard. She has 80 meters of fencing material to enclose three sides of the garden, as one side of the garden will be against the wall of her house. If she wants the width of the garden to be 12 meters, what would it be the area available for planting?

• 408 m²

• 34 m²

• 150 m²

• 150 m²

Jean wants to build a rectangular pen for his goats. He has 120 meters of fencing material to enclose 4 sides of the pen, as he plans to place the pen in an open field. If he wants the width of the pen to be 15 meters, what should be the area of the pen for his goats?

• 45 m²

• 675 m²

• 500 m²

• 225 m²

In a traditional carousel ride at a fairground, the horses move in a circular motion around a central pole. If the distance from the center of the carousel to one horse is 3 meters, calculate the distance traveled by the horse after 50 rotations around the carousel. Use 𝛑=3.14

• 942 m

• 18.84 m

• 1413 m

• 28.26

Marta is planning to make 15 chocolate desserts in the shape of cones. Each cone has a height of 10 centimeters and a radius of 5 centimeters. If she wants to fill each cone completely with melted chocolate, how much chocolate will she need in cubic centimeters in total for all 15 cones? Assume that the chocolate fills each cone perfectly without any gaps or air bubbles. Use 𝛑 = 3.14.

• 785 cm³

• 261.67 cm³

• 3925 cm³

• 78.5 cm³

A factory makes cheese snacks. Each piece is in the shape of a triangular prism, as show in the figure. If the factory makes 552 such pieces, how much cheese will be needed to make all of them (in cubic centimeters)?

• 13248 cm³

• 26496 cm³

• 24 cm³

• 12 cm³

In the circle, segment IK is a diameter. Suppose that the measure of the arc JK is 116° and ∢KJL = 43°. Find ∢IJL

• 47°

• 90°

• 43°

• 53°

In the circle, segment IK is a diameter. Suppose that the measure of the arc JK is 116° and ∢KJL = 43°. Find ∢IKJ

• 47°

• 64°

• 32°

• 58°

In the circle, segment IK is a diameter. Suppose that the measure of the arc JK is 116° and ∢KJL = 43°. Find ∢KJI

• 47°

• 64°

• 90°

• 180°

Two semicircles are placed in a square with a side length of 8 m, as shown in the figure.

Find the area of the shaded region. Use the value 3.14 for 𝛑, and do not round your answer.

• 13.76 m²

• 64 m²

• 15 m²

• 136.96 m²

Four quarter circles are placed in a square with a side length of 4 m, as shown in the figure.

Find the area of the blue region. Use the value 3.14 for 𝛑, and do not round your answer.

• 13.4 m²

• 3.44 m²

• 15 m²

• 16.96 m²