HESI A2 Math

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: A

Rationale: To find the time for 4 workers to build 3 play sets, we use the formula: Time = (Total work) / (Rate of work). Given 2 workers take 18 hours to build 1 play set, their combined rate is 1/18 play set per hour. For 4 workers, the rate is 4 times faster, so it's 4/18 play sets per hour. To build 3 play sets, the total work is 3. Thus, Time = 3 / (4/18) = 27 hours. Choice A is correct. Choices B, C, and D are incorrect as they do not account for the increased efficiency of having more workers.

Correct Answer: A

Rationale: To convert grams to pounds, divide the weight in grams by 453.592 (1 pound is approximately equal to 453.592 grams). Therefore, to convert 1,500 grams to pounds, you would do 1500 / 453.592 = 3.30693393, which rounds down to 3.3 pounds (Answer A). The other choices are incorrect as they do not provide the accurate conversion from grams to pounds. Answer A is the correct choice as it is the result of the precise calculation.

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.

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.