Math HESI A2 Practice Test

Correct Answer: A

Rationale: To add 6 3/4 and 8 1/6, first convert both mixed numbers to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, find a common denominator, which is 12. Now, add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct answer is A (14 11/12). Choices B, C, and D are incorrect because they do not match the correct calculation.

Correct Answer: C

Rationale: The nurse works from 1300 to 2000, which translates to 1 PM to 8 PM. To calculate the hours worked, subtract the start time from the end time: 8 PM - 1 PM = 7 hours. Therefore, the correct answer is C (7 hours). Choice A (8 hours) is incorrect as it includes the end time, Choice B (11 hours) is incorrect as it adds extra hours, and Choice D (12 hours) is incorrect as it adds both the start and end times.

Correct Answer: B

Rationale: To change 0.26 to a fraction, we need to look at the decimal place. 0.26 can be written as 26/100, which can be simplified to 13/50 by dividing both the numerator and denominator by 2. This is the correct answer because it is in simplest form. Choice A is incorrect as 7/8 is not equivalent to 0.26. Choice C is incorrect as 26/100 is the initial form of 0.26, not simplified. Choice D is incorrect as 1/3 is not the equivalent fraction for 0.26.

Correct Answer: A

Rationale: To subtract 12 - 7 4\5, you first convert 12 to an improper fraction: 12 = 60\5. Then, subtract 60\5 - 7 4\5 = 60\5 - 39\5 = 21\5. Finally, convert 21\5 back to a mixed number, which is 4 1\5 or 5 1\5. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not result from the correct subtraction process.

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.