a female ran a 24 mile course her first 6 miles she ran in 1 hour the second set of 6 miles in 12 hours the third set of 6 miles in 15 hours the fourt
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HESI A2

HESI A2 Practice Test Math

1. A female ran a 24-mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?

Correct answer: B

Rationale: To find the total time, add the times for each set of 6 miles: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to complete the 24-mile course. Choice A, 5 hours, is incorrect because the total time is slightly more than that. Choice C, 4 hours, is incorrect as it doesn't account for the total time taken. Choice D, 6 hours, is incorrect as it's an overestimation of the actual time taken.

2. Convert this military time to regular time: 1010 hours.

Correct answer: A

Rationale: To convert military time to regular time, we can drop the first two digits if they are less than 12. 1010 hours can be converted to 10:10 A.M. because it is before noon (12:00 P.M.). Military time operates on a 24-hour clock system, with 0000 hours indicating midnight and 1200 hours representing noon. Therefore, in this case, 1010 corresponds to 10:10 A.M. Choice B (10:10 P.M.) is incorrect as 1010 hours is in the morning, not the evening. Choices C (1:01 A.M.) and D (1:01 P.M.) are incorrect as they do not match the given military time of 1010 hours.

3. What is the result of adding 6 3/4 + 8 1/6?

Correct answer: A

Rationale: To add mixed numbers, convert them to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions to get 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 21 20/24 = 21 10/12 = 21 5/6 = 14 11/12. Therefore, the correct answer is 14 11/12. Choice B (12 3/4) is incorrect as it does not match the correct calculation. Choice C (12 3/24) is incorrect due to the erroneous denominator in the final fraction. Choice D (14 2/5) is incorrect as it does not correspond to the correct sum of the fractions.

4. If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?

Correct answer: D

Rationale: If 20 students are divided into pairs, there would be 10 pairs in total (20 students / 2 = 10 pairs). Since each pair receives 10 pencils, the total number of pencils needed is calculated by multiplying the number of pairs (10 pairs) by the number of pencils each pair receives (10 pencils per pair), resulting in 100 pencils required. Therefore, the correct answer is 100 pencils. Choices A, B, and C are incorrect because they do not consider the correct pairing of students or the total number of pencils needed for each pair.

5. Solve for x: 2x - 7 = 9.

Correct answer: C

Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.

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