The right circular cylinder shown in the figure above has a height of 10 units and a radius of 1 unit. Points O and P are the centers of the top and bottom surfaces, respectively. A slice is cut from the cylinder as shown, so that the angle at the top, O, is 60 degrees, and the angle at the bottom, P, is 60 degrees. What is the volume of the slice?

A square piece of cloth is cut from a larger square as in the figure above. The corners of the smaller square are the midpoints of the sides of the larger square. How much cloth, in square centimeters, is left over?

Which is bigger: the cube root of 54 or the square root of 18?

What smallest number of six digits is divisible by 111?

One number is 12 more than 3 times another number. The sum of the 2 numbers is −20. What are the numbers?

If $x=-1$, then what is the value of $x^{2} \times x^{2}$?

What is the perimeter of the ﬁgure?

To find the height of a building, Oscar stuck the end of a 4 ½-foot stick 6 inches straight into the ground. He measured the shadow of the stick and found it was 1 foot long. Oscar then measured the building's shadow and found it was 16 feet long.
How many feet from the building was the stick?

On ﬁve successive days, a motorcyclist listed his mileage as follows: 135, 162, 98, 117, 216. If his motorcycle averages 14 miles for each gallon of gas used, how many gallons of gas did he use during these ﬁve days?

If $x^2-4=45$, then x could be equal to

Tony buys a burger for $\$3 $and a bottle of juice for $ \$1.50$ every day. Which expression shows the total amount he would spend on his burger and juice over a 5-day period?

A ladder is leaning against an 18 ft building. The bottom of the ladder is 8.5 ft from the building. Approximately how tall is the ladder?

Jenny has five coins totaling 65 cents in quarters and nickels. Create two equations.

Which of the following is a factor of 450 and multiple of 25?

One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?

Which equation is represented by the graph shown below?

If $x^{2} - 4 =45$, then x could be equal to

If $x^{2}-4=45$, then x could be equal to

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

What is the x value such that y =15 - 3x and y = 0?

If 7 bananas cost $\$2.55$, what will be the cost for 14 bananas? Round your answer to the nearest penny .

Translate the phrase into a mathematical expression: “the speed y decreased by 33”

If a horse eats 12 pounds of hay a day, how many pounds of hay eats a horse in a year?

There are 12 eggs in one box, and 12 boxes in one crate. How many eggs are in a shipment of 24 crates?

Solve the equation 3x = 24 for x.

There are 1,000,000 kb in a GB. Guy has 29 GB of storage on his computer. He has a lot of picture files of about 78kb. What is the maximum number of such pictures he can store on his computer?

How many ways can 6 people sit on a bench if 3 of them have to sit side by side?

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting. When was the height 31 inches?

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting. How high was the initial height of the shrub?

The formula h - 15 = 3.2t gives the height h in inches of a plant t weeks after planting. Which is the rate at which the plant's height is increasing?

Solve the given equation for x. −5x + 17 = 112

Simplify: 3 − (−5y + 1)