HESI A2 Math

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.

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: D

Rationale: To calculate the total medication received in 24 hours, we first find out how many doses will be given in 24 hours. Since a dose of 150mg is given every 4 hours, there will be 6 doses in 24 hours (24 hours / 4 hours per dose = 6 doses). Multiplying 150mg by 6 doses gives us 900mg, which is the correct answer (D). Choices A, B, and C are incorrect because they do not take into account the frequency of doses within the 24-hour period.

Correct Answer: B

Rationale: The correct answer is B (106.4). To calculate the rate of calories burned per mile, we divide the total calories burned (2276) by the total distance covered (21.4 miles). 2276 calories ÷ 21.4 miles = 106.4 calories/mile. Choice A is incorrect as it is slightly lower than the correct calculation. Choice C is also incorrect as it is more precise than necessary and introduces unnecessary decimal points. Choice D is incorrect as it is too precise and unnecessary for this calculation.

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.