HESI A2 Math

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: 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: D

Rationale: To convert 5 3/4 to a decimal, first convert the mixed number to an improper fraction: 5 * 4 + 3 / 4 = 23/4. Next, divide the numerator by the denominator: 23 ÷ 4 = 5.75. Since we are rounding to the nearest tenth, the answer is 5.8. Choice D (5.8) is correct because it correctly converts 5 3/4 to a decimal and rounds it to the nearest tenth. Choices A, B, and C are incorrect as they do not accurately represent the decimal equivalent of 5 3/4 when rounded to the nearest tenth.

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.