Free College Math Placement Measurement Question and Answers — Questions and Answers
Question 1: The calories in a slice of bread are 80. How many calories are there in 2 ½ slices of bread?
- 200 calories (Correct answer)
- 140 calories
- 240 calories
- 220 calories
Correct answer: 200 calories
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.
- $184.30
- $192.20
- $189.90
- $166.80 (Correct answer)
Correct answer: $166.80
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?
- 8 yd. 4 ft. 4 in.
- 7 yd. 1 ft. 8 in.
- 9 yd. 7 in. (Correct answer)
- 10 yd.
Correct answer: 9 yd. 7 in.
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?
- liters (Correct answer)
- centigrams
- kilograms
- milliliters
Correct answer: liters
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?
- 0.3WL
- 9WL
- 0.9WL (Correct answer)
- 3WL
Correct answer: 0.9WL
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.
Question 6: What length in inches is most similar to the following if a match box is 0.17 feet long?
- 3 1/8 inch jewelry box
- 2 3/16 inch staple remover (Correct answer)
- 5 1/16 inch highlighter
- 2 3/4 inch lipstick
Correct answer: 2 3/16 inch staple remover
To find the length in inches, convert 0.17 feet to inches by multiplying by 12 (since 1 foot = 12 inches). This gives 0.17 * 12 = 2.04 inches. Comparing this to the options, 2 3/16 inches is equivalent to 2 + 3/16 = 2 + 0.1875 = 2.1875 inches, which is the closest value to 2.04 inches among the choices.
Question 7: If one inch is equal to 2.54 centimeters, how tall is a man who is 76 inches?
- 29.92 cm
- 193.04 cm (Correct answer)
- 300.04 cm
- 593.04 cm
Correct answer: 193.04 cm
To convert the man's height from inches to centimeters, you multiply the number of inches by the given conversion factor. Since 1 inch equals 2.54 centimeters, a man who is 76 inches tall would be 76 * 2.54 cm. This calculation results in 193.04 cm.
The calories in a slice of bread are 80.
How many calories are there in 2 ½ slices of bread?