HESI A2 Math Practice

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face showing a 5 on a six-sided die, so the favorable outcome is 1. The total number of possible outcomes when rolling a six-sided die is 6. Therefore, the probability of rolling a 5 is 1/6. Choice B (1/4) is incorrect because there is only one face showing a 5 out of 6 possible outcomes, not 4. Choice C (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a 5. Choice D (1/3) is incorrect as it does not accurately represent the probability of rolling a 5 on a six-sided die.

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 28 3/4 = 115/4 and 5 5/6 = 35/6. Then subtract: 115/4 - 35/6. Find a common denominator, which is 12. So, 115/4 becomes 345/12 and 35/6 becomes 70/12. Subtract to get 275/12 = 22 & 11/12, which is choice A. The other choices are incorrect because they do not match the correct result obtained through the step-by-step subtraction of the mixed numbers converted to improper fractions.

Correct Answer: D

Rationale: To convert ounces to pounds, divide the number of ounces by 16 (since 1 pound = 16 ounces). So, 176 ounces ÷ 16 = 11 pounds. This makes option D the correct answer. Option A (15 pounds) is incorrect as it is not the result of the conversion calculation. Option B (10 pounds) and option C (12 pounds) are also incorrect as they do not align with the accurate conversion of 176 ounces to pounds.

Correct Answer: A

Rationale: The correct answer is A: 16.67%. There is only one face of the die with a 5, out of a total of 6 faces. Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.67%. Other choices are incorrect: B: 20% - This is the probability if there were 5 faces with a 5. C: 50% - This would be the probability if there were only two faces on the die. D: 83.33% - This would be the probability if there were 5 faces with a 5.

Correct Answer: A

Rationale: To convert grams to kilograms, we need to divide by 1000 since there are 1000 grams in a kilogram. Thus, 4,000 grams divided by 1000 equals 4 kilograms. Therefore, the correct answer is A. Choice B is incorrect as it is not the result of the correct conversion. Choice C is incorrect as it represents the equivalent of 1000 grams, not 4000 grams. Choice D is incorrect as it is half of the correct conversion result.