HESI A2
HESI A2 Math Practice Questions
Question 1 of 5
What is the probability of rolling a 4 on a six-sided die?
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.
Question 2 of 5
A train travels at a constant speed of 60 mph for 2 hours. How many miles did the train travel?
Correct Answer: A
Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 2 hours. So, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is A: 120 miles. Option B (180 miles) is incorrect as it would be the distance traveled if the train traveled for 3 hours at 60 mph. Option C (100 miles) and D (240 miles) are incorrect as they do not align with the actual calculation of Distance = 60 mph x 2 hours = 120 miles.
Question 3 of 5
What is the sum of 3/7, 4/7, and 2/7?
Correct Answer: B
Rationale: To find the sum of fractions, we add their numerators when the denominators are the same. So, 3/7 + 4/7 + 2/7 = (3 + 4 + 2) / 7 = 9/7. Therefore, the correct answer is B. Choice A is incorrect as it simplifies to 1, not 9/7. Choice C is incorrect as it equals 6/7, not 9/7. Choice D is the same as choice A, simplifying to 1, not 9/7.
Question 4 of 5
Subtract 5/6 - 3/4.
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.
Question 5 of 5
Solve: 8x = x^2.
Correct Answer: C
Rationale: To solve 8x = x^2, we rearrange the equation to x^2 - 8x = 0. Factoring gives x(x-8) = 0. So, x = 0 or x = 8. Therefore, the correct answer is C (16). Choices A, B, D are incorrect as they do not satisfy the equation x^2 = 8x.
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