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. Ratio and proportion 1.2:x=14:42.

A. 2
B. 0
C. 1
D. 3

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 =3.6

3. How many centimeters are in 6 meters?

A. 600 cm
B. 60 cm
C. 1000 cm
D. 500 cm

Correct answer: A

Rationale: To convert meters to centimeters, you need to multiply the number of meters by 100 since there are 100 centimeters in 1 meter. Therefore, 6 meters is equal to 6 * 100 = 600 cm. Choice A is correct. Choice B (60 cm) is incorrect because it represents the conversion of 0.6 meters to centimeters. Choice C (1000 cm) is incorrect because it represents the conversion of 10 meters to centimeters. Choice D (500 cm) is incorrect because it is halfway between the conversions of 5 meters (500 cm) and 6 meters (600 cm).

4. Round to the nearest whole number: 4748 ÷ 12 =

A. 372
B. 384
C. 396
D. 412

Correct answer: C

Rationale: To find the answer, divide 4748 by 12: 4748 ÷ 12 = 395.666... Since we are rounding to the nearest whole number, we round up to 396 because the decimal part (.666) is greater than .5. Choice A (372) is too low as it does not account for the decimal value. Choice B (384) is also too low. Choice D (412) is too high as it goes beyond the correct rounded value.

5. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?

A. 27 hours
B. 36 hours
C. 24 hours
D. 54 hours

Correct answer: A

Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set. To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours. Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer. Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.