Math HESI A2 Practice Test

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: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 15 3/4 = (4*15+3)/4 = 63/4, and 8 2/5 = (5*8+2)/5 = 42/5. Then, find a common denominator, which is 20 in this case. Subtract the fractions: 63/4 - 42/5 = (63*5 - 42*4)/20 = (315 - 168)/20 = 147/20. Finally, convert the result back to a mixed number: 147/20 = 7 7/20. Therefore, the correct answer is A: 7 7/20. Choices B, C, and D are incorrect because they do not correctly represent the result of the subtraction calculation.

Correct Answer: B

Rationale: To find total calories consumed in 3 meals, multiply 500 calories/meal by 3 meals: 500 x 3 = 1500 calories. This is why choice B is correct. Choices A, C, and D are incorrect because they do not accurately calculate the total calories consumed in 3 meals. Choice A is half the correct answer, choice C is double, and choice D is the amount of calories in one meal, not for 3 meals.

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: A

Rationale: To convert grams to milligrams, you multiply by 1000 since there are 1000 milligrams in a gram. So, 7 grams x 1000 = 7000 mg. Therefore, the correct answer is A: 7000 mg. Option B (7 mg) is incorrect because it represents the original unit (grams). Option C (700 mg) is incorrect as it is a partial conversion error. Option D (70 mg) is incorrect as it is a multiple of 10 error.