a plan for a barn is drawn on a 130 scale if the width of a barn door on the plan measures 3 inches what is the actual width of the finished door

HESI A2

HESI A2 Math Practice Test

1. A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?

A. 90 inches
B. 10 feet
C. 9 feet
D. 7.5 feet

Correct answer: B

Rationale: The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches ÷ 12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.

2. A train travels at 70 mph for 6 hours. How far did it travel?

A. 490 miles
B. 490 miles
C. 540 miles
D. 420 miles

Correct answer: D

Rationale: To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph × 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.

3. A cake recipe calls for 2½ cups of flour. How many cups are needed to make 6 cakes?

A. 12.5 cups
B. 13 cups
C. 14 cups
D. 15 cups

Correct answer: D

Rationale: To make one cake, you need 2½ cups of flour. To make 6 cakes, you would need 6 times the amount of flour for one cake, which is 2½ x 6 = 15 cups. Therefore, the correct answer is 15 cups. Choices A, B, and C are incorrect as they do not correctly calculate the total amount of flour needed for 6 cakes.

4. A worker in a warehouse ships 9 boxes each day. If every box must contain 3 shipping labels, how many shipping labels does the worker need each day?

A. 24 labels
B. 27 labels
C. 20 labels
D. 30 labels

Correct answer: B

Rationale: To find the total number of shipping labels needed, multiply the number of boxes by the labels per box: 9 boxes * 3 labels per box = 27 labels. Therefore, the worker needs 27 shipping labels each day. Choice A, 24 labels, is incorrect because it results from multiplying 9 boxes by 3 labels without calculating the correct total. Choice C, 20 labels, is incorrect as it underestimates the total number of labels needed. Choice D, 30 labels, is incorrect as it overestimates the total by multiplying incorrectly.

5. What number is 44 equal to 25% of?

A. 176
B. 150
C. 180
D. 120

Correct answer: A

Rationale: To find the number, let it be x. The equation is 44 = 0.25 * x. Dividing both sides by 0.25 gives x = 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Choice A is correct because 176 is the number that 44 is equal to 25% of. Choices B, C, and D are incorrect as they do not satisfy the equation 44 = 0.25 * x.