Math HESI A2 Practice Test

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: D

Rationale: To solve x/5 = 3/10, first cross multiply to get 10x = 15. Then divide both sides by 10 to isolate x, giving x = 1.5. This is the correct answer as it satisfies the original equation. Choices A, B, and C are incorrect as they do not match the result obtained from solving the equation step by step.

Correct Answer: B

Rationale: To express 0.75 as a fraction, first note that 0.75 is equivalent to 75/100. Simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 25, gives 3/4. Therefore, the correct answer is B: 3/4. Option A (4/5) is incorrect as it does not represent 0.75. Option C (1/2) is incorrect as it is not equal to 0.75. Option D (1/4) is incorrect as it is not the equivalent fraction of 0.75.

Correct Answer: B

Rationale: The correct answer is B: Decimal. The decimal number system is commonly used in the United States because it is based on powers of 10, making it easy for people to understand and use in everyday life, such as in currency, measurements, and calculations. Tertiary and Napoleonic number systems are not commonly used in the United States. Binary is a base-2 number system, which is used in computer science but not as widely used in everyday life in the US.

Correct Answer: A

Rationale: To add 1/4 and 3/8, we need a common denominator, which is 8. So, 1/4 becomes 2/8. Adding 2/8 + 3/8 gives us 5/8. Therefore, the correct answer is A: 5/8. Choice B, 7/12, is incorrect as it is the result of adding 1/4 and 1/3. Choice C, 2/3, is incorrect as it is the result of adding 1/4 and 1/2. Choice D, 1/2, is incorrect as it is the result of adding 1/4 and 1/4.