HESI A2 Math

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total distance covered. In this case, 2,274 calories ÷ 21.6 miles = 105.28 calories per mile (rounded to two decimal places), which matches option A. This calculation is based on the fundamental concept of division, where the total calories are distributed evenly over the total distance. Choices B, C, and D are incorrect as they do not match the calculated rate. This question tests basic division skills and understanding of calculating rates.

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.

Correct Answer: A

Rationale: To make half of the recipe, you need to divide the original amount of sugar by 2. 2 cups of sugar divided by 2 equals 1 cup. Therefore, the correct answer is A: 1 cup. Choice B (1.5 cups) is incorrect because it is not half of 2 cups. Choice C (2 cups) is the original amount and not for making half the recipe. Choice D (0.5 cups) is also incorrect as it is not the correct amount for half of the original recipe.

Correct Answer: A

Rationale: To calculate the annual dividend Mr. Rogers receives for his 400 shares, we need to find the dividend per share first. For Mr. Parker, the dividend per share is $180/150 = $1.20. So, for Mr. Rogers, with 400 shares, his annual dividend would be 400 x $1.20 = $480. Therefore, the correct answer is A: $480. Summary: - B: $500 is incorrect because it is not the correct calculation based on the given information. - C: $450 is incorrect as it is not the correct calculation based on the given information. - D: $72,000 is incorrect as it is an excessively high amount and not a reasonable dividend for owning 400 shares.