HESI A2 Math

Correct Answer: B

Rationale: The value of pi (?) is approximately 3.14159. When rounded to 2 decimal places, it becomes 3.14. This is because the decimal places after 3.14 are 1 and 5, which are greater than or equal to 5, so the 4 in the hundredths place rounds up to 5. Therefore, choice B (3.14) is the correct answer. Choices A, C, and D are incorrect because they do not accurately represent the value of pi rounded to 2 decimal places.

Correct Answer: A

Rationale: To find the new width, we need to use the concept of proportionality. Since the height is increasing from 15 inches to 4 feet (48 inches), we set up the proportion: 15/width = 48/new width. Solving for the new width, we get width = (15 * new width) / 48. Given the new height is 4 feet, we substitute 48 for the new height: width = (15 * new width) / 48 = (15 * new width) / 48 = 4.2 feet. Therefore, the correct answer is A: 2.1 feet. Choices B, C, and D are incorrect as they do not align with the proportionality calculation.

Correct Answer: C

Rationale: The correct answer is C (27 hours). The truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday, which is a total of 32 hours. To calculate the driving time, we subtract the time spent overnight (10 hours) from the total time, giving us 22 hours. However, we need to add the 5 hours the driver drove on Tuesday from 10:00 AM to 6:00 PM, totaling 27 hours. Choice A (28 hours) is incorrect because it does not account for the time spent overnight. Choice B (32 hours) is incorrect as it includes the entire duration of departure to arrival without considering the overnight stop. Choice D (15 hours) is incorrect as it does not consider the full duration of the trip.

Correct Answer: A

Rationale: To calculate the distance traveled by Train A, we use the formula Distance = Speed x Time. The time taken by the train is 3:15 - 1:45 = 1.5 hours. Therefore, Distance = 65 mph x 1.5 hours = 97.5 miles. Choice A is correct because it correctly calculates the distance using the speed and time provided. Choices B, C, and D are incorrect as they do not calculate the distance correctly based on the given information.

Correct Answer: B

Rationale: To find the perimeter of a square, you add up all the sides. Since a square has four equal sides, the perimeter is the side length multiplied by 4. In this case, the side length is 5 meters, so the perimeter would be 5 * 4 = 20 meters. Therefore, choice B (20 meters) is correct. Choice A (15 meters) is incorrect because it is the result of adding the side length once instead of multiplying by 4. Choice C (25 meters) and choice D (30 meters) are incorrect as they are the results of adding or multiplying incorrectly.