HESI A2 Math

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: To find the time to wash 80 cars, we use the formula: Time = (Number of cars * Time taken for 1 car)/(Number of cars washed in that time). Time = (80 * 20)/(50) = 32 minutes. Choice B is correct. Choice A is incorrect as it assumes the time taken is constant. Choice C and D are incorrect as they do not consider the increase in the number of cars to be washed.

Correct Answer: A

Rationale: To determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.

Correct Answer: C

Rationale: To find the perimeter of a square, we add up all four sides. Since the garden bed has a side length of 8 meters, each side is 8m. Therefore, the perimeter = 8m + 8m + 8m + 8m = 32m (Choice C). Choices A, B, and D are incorrect because they do not correctly calculate the total length of all four sides of the square.