PARCC Measurement Practice Problems 1 — Questions and Answers

Question 1: 1. What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.

$166.80 (Correct answer)
$175.90
$184.30
$189.90
$192.20

Correct answer: $166.80

Liters are a standard metric unit for measuring liquid volume, and they are an appropriate scale for the amount of water typically found in a bathtub. Milliliters are too small for a bathtub, while kilograms are a unit of mass and volts measure electrical potential, neither of which is suitable for measuring liquid volume.

Question 2: 2. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?

10 yards (Correct answer)
18 yards
28 feet
32 feet
36 yards

Correct answer: 10 yards

First, convert the length of the matchbox from feet to inches. Since 1 foot equals 12 inches, 0.17 feet is 0.17 * 12 = 2.04 inches. Now, compare this decimal value to the fractional inch values in the options. 2 3/16 inches is 2 + 3/16 = 2 + 0.1875 = 2.1875 inches, which is the closest value to 2.04 inches among the choices.

Question 3: 3. What is the volume of the following cylinder?

210.91
226.20 (Correct answer)
75.36
904.32
28.26

Correct answer: 226.20

First, calculate the area of the room in square yards: Area = W * L square yards. Since the cleaning charge is per square foot, convert the area to square feet. There are 3 feet in 1 yard, so 1 square yard = 3 feet * 3 feet = 9 square feet. Thus, the area in square feet is (W * L) * 9. The cost is 10 cents ($0.10) per square foot, so the total cost is (W * L * 9) * $0.10 = $0.90 * W * L, or 0.9WL dollars.

Question 4: 4. What is the volume of a cube whose width is 5 inches?

15 cubic inches
25 cubic inches
64 cubic inches
100 cubic inches
125 cubic inches (Correct answer)

Correct answer: 125 cubic inches

4. E: The volume of a cube is represented by the equation, V=s3, where s represents one side length. Substituting 5 for s gives V=53, or V = 125. The volume of the cube is 125 cubic inches.

Question 5: 5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have?

7 yd. 1 ft. 8 in.
8 yd. 4 ft. 4 in.
8 yd. 11 in.
9 yd. 7 in. (Correct answer)
10 yd.

Correct answer: 9 yd. 7 in.

5. D: The sum of the material is equal to 7 yd, 5 ft, 19 in, which may also be written as 7 yd, 6 ft, 7 in, or 9 ft, 7 in.

Question 6: 6. A can's diameter is 3 inches, and its height is 8 inches. What is the volume of the can?

50.30
56.55 (Correct answer)
75.68
113.04
226.08

Correct answer: 56.55

6. B: The volume of a cylinder is represented by the equation, V=πr2h, where r represents the radius and h represents the height. Substituting 1.5 for r and 8 for h gives V=π(1.5)2 (8), or V = 18π. Thus, the volume is approximately 56.55 cubic inches.

Question 7: 7. If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?

4
12
16 (Correct answer)
20
24

Correct answer: 16

7. C: The area of a square is represented by the formula, A=s2. Substituting 16 for A gives: 16=s2. Solving for s shows each side length to be 4 feet. Thus, the perimeter is equal to the product of 4 and 4 ft, or 16 ft. 8. B: Liters measure capacity and are appropriate for the size of a bathtub. Milliliters are also a measurement of capacity, but are too small a measurement for such a large container.

Question 8: 8. Of the following units which would be more likely used to measure the amount of water in a bathtub?

kilograms
liters (Correct answer)
milliliters
milliliters
volts

Correct answer: liters

8. B: Liters measure capacity and are appropriate for the size of a bathtub. Milliliters are also a measurement of capacity, but are too small a measurement for such a large container.

Question 9: 9. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?

5 1/16 inch highlighter
3 1/8 inch jewelry box
2 3/4 inch lipstick
2 3/16 inch staple remover (Correct answer)
4 1/2 inch calculator

Correct answer: 2 3/16 inch staple remover

9. D: A length of 0.17 feet is equal to 2.04 inches. The following proportion may be used to determine the length, in inches: 0.17/x=1/12. A length of 2.1875 inches is the closest to this measurement.

Question 10: 10. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?

0.9WL (Correct answer)
0.3WL
0.1WL
9WL
3WL

Correct answer: 0.9WL

10. A: The area may be represented as A = WL, measured in yards, or A = 9WL, measured in feet. Thus, the charge is equal to the product of 9WL and 0.10 or 0.9WL.

Question 11: 11. One inch equals 2.54 cm, How many centimeters tall is a 76 inch man?

20 cm
29.92 cm
193.04 cm (Correct answer)
300.04 cm
593.04 cm

Correct answer: 193.04 cm

To convert a measurement from inches to centimeters, you multiply the number of inches by the conversion factor. Given that 1 inch equals 2.54 cm, a 76-inch man's height in centimeters is 76 * 2.54 cm. This calculation yields 193.04 cm.

Question 12: 12. A room measures 11 ft x 12 ft x 9 ft. What is the volume?

1188 ft3</li> (Correct answer)
32 ft3</li>
120 ft3</li>
1300 ft3</li>
1350 ft3</li>

Correct answer: 1188 ft3</li>

The volume of a rectangular room (or any rectangular prism) is calculated by multiplying its length, width, and height. For a room measuring 11 ft x 12 ft x 9 ft, the volume is 11 * 12 * 9 cubic feet. Performing this multiplication gives 1188 cubic feet.

Question 13: 13. A vitamin's expiration date has passed. It was supposed to contain 500 mg of Calcium, but it has lost 325 mg of Calcium. How many mg of Calcium are left?

135 mg
175 mg (Correct answer)
185 mg
200 mg
220 mg

Correct answer: 175 mg

To find out how much Calcium is left, you simply subtract the amount lost from the original amount. The vitamin originally contained 500 mg of Calcium and lost 325 mg. Therefore, 500 mg - 325 mg = 175 mg of Calcium are left.

Question 14: 14. You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5-mL dose. How many milliliters will need to be given?

15 mL
20 mL
25 mL (Correct answer)
30 mL
35 mL

Correct answer: 25 mL

To determine the total milliliters needed, first find how many 4 mg doses are required: 20 mg / 4 mg/dose = 5 doses. Since each dose is 5 mL, multiply the number of doses by the volume per dose: 5 doses * 5 mL/dose = 25 mL. This calculation ensures the patient receives the correct total medication amount.

Question 15: 15. You need exactly a 1680 ft3 aquarium for your fish. At the pet store you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?

12 ft x 12 ft x 12 ft
13 ft x 15 ft x 16 ft
14 ft x 20 ft x 6 ft (Correct answer)
15 ft x 16 ft x 12 ft
15 ft x 12 ft x 12 ft

Correct answer: 14 ft x 20 ft x 6 ft

The volume of a rectangular aquarium is calculated by multiplying its length, width, and height (V = L × W × H). For option C, 14 ft × 20 ft × 6 ft, the calculation is 280 ft² × 6 ft = 1680 ft³. This exactly matches the required volume of 1680 ft³, making it the correct choice.

Question 16: 16. One slice of bread is 80 calorie. Approximately how many calories are in 2 ½ slices of bread?

140 calories
200 calories (Correct answer)
220 calories
240 calories
260 calories

Correct answer: 200 calories

To find the total calories, you need to multiply the calories per slice by the number of slices. Two and a half slices can be written as 2.5 slices. Therefore, 80 calories/slice * 2.5 slices equals 200 calories. This is a direct multiplication to find the total amount based on a given rate.

PARCC Measurement Practice Problems 1

1.
What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.