HESI A2 Math Practice

Correct Answer: B

Rationale: The correct answer is B: 1/6. There is only one side on the die that shows a 4 out of six possible outcomes. Thus, the probability of rolling a 4 is 1 out of 6, which simplifies to 1/6. A: 1/2 - Incorrect. The die has 6 sides, not 2. C: 1/3 - Incorrect. There is only one side with a 4, not three. D: 1/2 - Incorrect. Again, the die has 6 sides, not 2.

Correct Answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions: 6 1/2 = 13/2 and 2 2/3 = 8/3. Next, find a common denominator, which is 6. Subtract the fractions: 13/2 - 8/3 = 39/6 - 16/6 = 23/6. Convert the result back to a mixed number: 23/6 = 3 5/6, which is the correct answer (C). The other choices are incorrect because they do not match the result of the subtraction calculation.

Correct Answer: B

Rationale: To find 60% of 150, you multiply 150 by 0.6 (which represents 60%). 150 * 0.6 = 90 Therefore, the correct answer is B: 90. Choice A is incorrect as 80 is not the result of multiplying 150 by 0.6. Choice C is incorrect as 120 is not 60% of 150. Choice D is incorrect as it is the same as choice A.

Correct Answer: D

Rationale: The correct answer is D: 7/9. To convert the repeating decimal 0.7777... to a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point gives 10x = 7.7777... Subtracting the original equation from the shifted one eliminates the repeating decimal, giving 9x = 7. Solving for x, we get x = 7/9, hence 0.7777... = 7/9. Choice A, 77/1000, does not represent the repeating nature of the decimal. Choice B, 70/99, is close but not equivalent to 0.7777... Choice C, 777/900, can be simplified to 7/9, making it the correct answer.

Correct Answer: A

Rationale: To subtract fractions, we need a common denominator. In this case, the least common multiple of 6 and 4 is 12. So, 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting, 10/12 - 9/12 = 1/12, which is the correct answer (A). The other choices are incorrect because they do not result from the proper subtraction of the fractions using a common denominator. Choice B simplifies to 1/12 but is not the correct calculation. Choice C (1/2) and Choice D (1/8) are unrelated to the subtraction of the given fractions.