Math HESI A2 Practice Test

Correct Answer: A

Rationale: To divide 5 3/4 by 1/2, we convert 5 3/4 to an improper fraction as 23/4. Then, we divide 23/4 by 1/2, which is equivalent to multiplying by the reciprocal of 1/2, which is 2. Therefore, 23/4 * 2 = 46/4 = 11 1/2. The correct answer is A. Other choices are incorrect as they do not result from the correct calculation process.

Correct Answer: B

Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1000 milliliters. Therefore, to find how many milliliters are in 3 liters, you would multiply 3 by 1000, which equals 3000 milliliters. So, the correct answer is B: 3000 milliliters. A is incorrect because it is the result of multiplying 3 by 100, not 1000. C is incorrect because it is half of 3000, not the actual conversion. D is incorrect as it is one-tenth of the correct answer.

Correct Answer: A

Rationale: The correct answer is A: 50%. A six-sided die has 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). To calculate the probability of rolling an even number, we divide the number of favorable outcomes (3) by the total number of outcomes (6), resulting in 3/6 = 0.5 or 50%. Explanation of other choices: B: 16.70% - Incorrect. This percentage does not represent the probability of rolling an even number on a six-sided die. C: 25% - Incorrect. This represents the probability of rolling any number divisible by 5 on a six-sided die, not just even numbers. D: 33.30% - Incorrect. This percentage does not reflect the probability of rolling an even number on a six-sided die.

Correct Answer: C

Rationale: To calculate the surface area of the rectangular box, you need to find the area of each face. The box has 6 faces, and each face's area is 40*30cm=1200cm². Therefore, the total surface area is 6*1200cm²=7200cm²=0.72m². Since one sheet covers 0.5m², you need 0.72m²/0.5m²=1.2 sheets of cardboard, which is equivalent to 1.2m². This is why option C, 1.2 sq m, is the correct answer. Option A (0.3 sq m), B (0.6 sq m), and D (1.8 sq m) are incorrect as they do not align with the correct calculation of the surface area of the rectangular box.

Correct Answer: A

Rationale: To convert ounces to pounds, you divide the number of ounces by 16 since there are 16 ounces in a pound. Therefore, 160 ounces / 16 = 10 pounds. Choice A (10 pounds) is correct. Choices B, C, and D are incorrect because they do not correctly convert 160 ounces to pounds. Choice B is 8 pounds (160/16=10), Choice C is 5 pounds (160/16=10), and Choice D is 12 pounds (160/16=10).