Math HESI A2 Practice Test

Correct Answer: A

Rationale: To add 3 1/8 and 1 1/4, first convert both to improper fractions: 3 1/8 = 25/8 and 1 1/4 = 5/4. Then, add the fractions: 25/8 + 5/4 = 50/8 + 10/8 = 60/8 = 7 1/2. Convert 7 1/2 back to a mixed number: 7 1/2 = 6 2/8 = 6 1/4 = 4 3/8, which is the correct answer (A). Choice B (4 1/2) is incorrect as it doesn't match the calculated sum. Choice C (4 3/4) is incorrect as it is not the simplified form of the sum. Choice D (5 1/4) is incorrect as it is higher than the calculated sum.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one outcome of rolling a 2 on a six-sided die, and there are a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 2 is 1 out of 6, which simplifies to 1/6. Explanation for why other choices are incorrect: B: 1/4 - This is incorrect because there is only one outcome of rolling a 2, not 2 outcomes out of 6. C: 1/3 - This is incorrect because the probability of rolling a 2 is not 1 out of 3, but 1 out of 6. D: 1/2 - This is incorrect because the probability of rolling a 2 is not 1 out of 2, but 1 out of 6.

Correct Answer: C

Rationale: The correct answer is C: 16.60%. The probability of rolling a 5 on a fair six-sided die is 1/6, as there are 6 possible outcomes (1, 2, 3, 4, 5, 6) and only 1 favorable outcome (rolling a 5). To calculate the probability, you divide the number of favorable outcomes by the total number of outcomes, which is 1/6 = 0.1667 or 16.67%. Therefore, the closest choice is C: 16.60%. Explanation for other choices: A: 50% - Incorrect. This suggests that rolling a 5 is equally likely as not rolling a 5, which is not true for a fair six-sided die. B: 20% - Incorrect. This implies that rolling a 5 is 1 out of 5 possible outcomes, which is not the case for a standard six-sided die. D: 83

Correct Answer: C

Rationale: To convert kilometers to meters, we need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. So, 2 kilometers x 1000 meters/kilometer = 2000 meters. Therefore, the correct answer is C: 2000 meters. Choice A (100 meters) is incorrect as it does not account for the conversion factor of 1000 meters in 1 kilometer. Choice B (200 meters) is incorrect for the same reason. Choice D (3000 meters) is incorrect as it goes beyond the actual conversion calculation.

Correct Answer: A

Rationale: To convert milliliters to liters, we divide by 1000 since 1 liter = 1000 milliliters. So, 2500 milliliters ÷ 1000 = 2.5 liters. Therefore, the correct answer is A: 2.5 liters. Explanation for other choices: B: 1.5 liters - Incorrect, obtained by incorrect division. C: 3.5 liters - Incorrect, obtained by adding instead of dividing. D: 0.25 liters - Incorrect, obtained by misplaced decimal point.