Two angles are complementary. The measure of one angle is four times
the measure of the other. Find the measure of the larger angle

How many cubic inches of lead are there in the pencil? Round to the
nearest thousandth. (π = 3.14)

From a stationary point directly in front of the center of a bull’s eye, Kim
aims two arrows at the bull’s eye. The first arrow nicks one point on the
edge of the bull’s eye; the second strikes the center of the bull’s eye. Kim
knows the second arrow traveled 20 meters since she knows how far she is
from the target. If the bull’s eye is 4 meters wide, how far did the first
arrow travel? You may assume that the arrows traveled in straight-line
paths and that the bull’s eye is circular. Round answer to the nearest tenth.

A rectangular container is 5 cm wide and 15 cm long, and contains water
to a depth of 8 cm. An object is placed in the water and the water rises 2.3
cm. What is the volume of the object?

A concrete retaining wall is 120 feet long with ends shaped as shown. How
many cubic yards of concrete are needed to construct the wall?

Suppose ABCD is a parallelogram; ∠B = 120 and ∠2 = 40. Find m∠4.

Two sides of a picture frame are glued together to form a corner. Each side
is cut at a 45-degree angle. Using the illustration provided, find the
measure of ∠A.

Find the area of the regular octagon with the following measurements

Two angles are supplementary. The measure of one is 30 more than twice
the measure of the other. Find the measure of the larger angle.

If the radius of a cone is halved, the volume is

Find the area of the region.

If the radius of a right cylinder is doubled and the height is tripled, its
volume is

If the diameter of a sphere is doubled, the volume is

Find the measure of each angle of a regular 14-sided polygon to the
nearest tenth

The figure provided below represents a hexagonal-shaped nut. What is the
measure of ∠ABC?

A spherical holding tank whose diameter to the outer surface is 20 feet is
constructed of steel 1 inch thick. How many cubic feet of steel is needed to
construct the holding tank? Round to the nearest integer value. (π = 3.14)

If each interior angle of a regular polygon has a measure of 144 degrees,
how many sides does it have?

Using the same cross section of pipe from question 464, answer the
following question. If the pipe is 18 inches long, what is the volume of the
shaded region in terms of π?

Using the illustration provided below, if the measure ∠AEB = 5x + 40 and
∠BEC = x + 20, find m∠DEC

A round tower with a 40 meter circumference is surrounded by a security
fence that is 8 meters from the tower. How long is the security fence in
terms of π?

Find how many square centimeters of paper are needed to create a label on
a cylindrical can 45 cm tall with a circular base having diameter of 20 cm.
Leave answer in terms of π

If the diameter of a sphere is doubled, the surface area is

A box is 30 cm long, 8 cm wide and 12 cm high. How long is the diagonal
AB? Round to the nearest tenth.

The figure below is two overlapping rectangles. Find the sum of ∠1 + ∠2
+ ∠3 + ∠4.

If the radius of a circle is tripled, the circumference is

A cylindrical hole with a diameter of 4 inches is cut through a cube. The
edge of the cube is 5 inches. Find the volume of the hollowed solid in
terms of π.

Using the illustration provided below, if m∠ABE = 4x + 5 and m∠CBD =
7x − 10, find the measure of ∠ABE.

A sphere has a volume of 288π cm3. Find its radius

On a piece of machinery, the centers of two pulleys are 3 feet apart, and
the radius of each pulley is 6 inches. How long a belt (in feet) is needed to
wrap around both pulleys?

The road from town A to town B travels at a direction of N23°E. The
road from town C to town D travels at a direction of S48°E. The roads
intersect at location E. Find the measure of ∠BED, at the point of
intersection.

If the radius of a cone is doubled, the volume is

A sand pile is shaped like a cone as illustrated below. How many cubic
yards of sand are in the pile. Round to the nearest tenth. (π = 3.14)

A person travels 10 miles due north, 4 miles due west, 5 miles due north,
and 12 miles due east. How far is that person from the starting point?

A solid is formed by cutting the top off of a cone with a slice parallel to the
base, and then cutting a cylindrical hole into the resulting solid. Find the
volume of the hollow solid in terms of π.

The length and width of a rectangle together measure 130 yards. Their
difference is 8 yards. What is the area of the rectangle?

A mailbox opening is 4.5 inches high and 5 inches wide. What is the widest
piece of mail able to fit in the mailbox without bending? Round answer to the
nearest tenth.

If the lengths of all sides of a box are doubled, how much is the volume
increased?

Find the area of the shaded region. Leave answer in terms of π.

The figure below represents the cross section of a pipe 12
inch thick that
has an inside diameter of 3 inches. Find the area of the shaded region in
terms of π.

Using the illustration provided, find the area of the shaded region in terms
of π.

Find the area of the shaded region in terms of π

If Gretta’s bicycle has a 25-inch diameter wheel, how far will she travel in
two turns of the wheel? (π = 3.14)

The base of a triangle is 4 times as long as its height. If together they
measure 95 cm, what is the area of the triangle?

One method of finding the height of an object is to place a mirror on the
ground and then position yourself so that the top of the object can be seen
in the mirror. How high is a structure if a person who is 160 cm tall
observes the top of a structure when the mirror is 100 m from the
structure and the person is 8 m from the mirror?

If the radius of a right cylinder is doubled and the height is halved, its
volume

The structural support system for a bridge is shown in the illustration
provided. AD is parallel to BC, BE is parallel to CD, and AB is parallel to
CF. Find ∠CGE.

The measures of the angles of a triangle are in the ratio of 3:4:5. Find the
measure of the largest angle

Find the area of the shaded portions, where AB = 6 and BC = 10. Leave
answer in terms of π.

Using the illustration provided, find the m∠AED. Given m∠BEC =
5x − 36 and m∠AED = 2x + 9.

Find the total area of the shaded regions, if the radius of each circle is 5
cm. Leave answer in terms of π