Free College Math Placement Measurement Question and Answers

Question 1

The calories in a slice of bread are 80. How many calories are there in 2 ½ slices of bread?

Accepted Answer

200 calories

Answer

To find the total number of calories, multiply the calories per slice by the number of slices. A single slice of bread has 80 calories. Two and a half slices can be written as 2.5 slices. Therefore, the total calories are 80 calories/slice * 2.5 slices = 200 calories.

Question 2

A room that is 10 feet broad and 12 feet long needs to be carpeted. How much would it cost? The carpet has a square yard price of $12.51.

Accepted Answer

$166.80

Answer

First, calculate the area of the room in square feet: Area = length * width = 12 feet * 10 feet = 120 square feet. Since the carpet price is given per square yard, convert the room's area to square yards. Knowing that 1 yard = 3 feet, 1 square yard = 3 feet * 3 feet = 9 square feet. Divide the room's area by 9: 120 sq ft / 9 sq ft/sq yd = 13.333... square yards. Finally, multiply the area in square yards by the price per square yard: 13.333... sq yd * $12.51/sq yd = $166.80.

Question 3

Carla is carrying three pieces of paper. The first piece is 1 yard and 2 feet 6 inches long, the second is 2 yards and 1 feet 5 inches long, and the third is 4 yards and 2 feet 8 inches long. How much materials does Carla possess?

Accepted Answer

9 yd. 7 in.

Answer

To find the total length, add the inches, feet, and yards separately, carrying over when necessary. Inches: 6 + 5 + 8 = 19 inches. Since 1 foot = 12 inches, 19 inches is 1 foot and 7 inches. Feet: 2 + 1 + 2 (from the original lengths) + 1 (carried from inches) = 6 feet. Since 1 yard = 3 feet, 6 feet is 2 yards and 0 feet. Yards: 1 + 2 + 4 (from the original lengths) + 2 (carried from feet) = 9 yards. Combining these totals, Carla possesses 9 yards, 0 feet, and 7 inches of material, which simplifies to 9 yd. 7 in.

Question 4

Which of the following units is most likely to be used to gauge the volume of water in a bathtub?

Accepted Answer

liters

Answer

Bathtubs hold a significant amount of water, typically many liters. Milliliters are too small a unit for this volume, usually used for small amounts like in a syringe. Kilograms and centigrams measure mass, not volume, making liters the appropriate metric unit for gauging the volume of water in a bathtub.

Question 5

If the steam cleaners charge 10 cents per square foot, how much would it cost in dollars to steam clean a room that is W yards wide and L yards long?

Accepted Answer

0.9WL

Answer

First, convert the room's dimensions from yards to feet: W yards = 3W feet and L yards = 3L feet. The area of the room is then (3W) * (3L) = 9WL square feet. Since the charge is 10 cents ($0.10) per square foot, the total cost in dollars would be 9WL * $0.10, which equals $0.90WL or 0.9WL.

College Math Placement Test Practice Test

College Math Placement Test Practice Test

Free College Math Placement Measurement Question and Answers