HESI A2
HESI A2 Math 2024
1. Express 25 as a fraction in lowest terms.
- A. 1⅖
- B. 1½
- C. 1¼
- D.
Correct answer: C
Rationale: To express 25 as a fraction in lowest terms, we write it as 25/1. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This results in 25/1 = 25/25 = 1 as the whole number part and 0 as the fractional part. Thus, 25 can be expressed as 1¼. Choice A (1⅖) is incorrect as it represents 1 and 2/5, which is not equivalent to 25. Choice B (1½) is incorrect as it represents 1 and 1/2, which is also not equivalent to 25. Choice D is empty and does not provide an answer.
2. A nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water. What is the final concentration of the solution in percent?
- A. 16.67%
- B. 20%
- C. 25%
- D. 50%
Correct answer: B
Rationale: To find the final concentration, first, calculate the total volume of the solution (2 ml + 8 ml = 10 ml). Then, determine the concentration by dividing the volume of the concentrated medication by the total volume and multiplying by 100%: (2 ml / 10 ml) * 100% = 20%. Therefore, the correct answer is B. Choice A (16.67%) is incorrect as it does not represent the correct calculation. Choices C (25%) and D (50%) are both incorrect as they do not reflect the accurate concentration resulting from the dilution process.
3. Multiply: 35 × 25 =
- A. 0.00875
- B. 0.0875
- C. 0.875
- D. 8.75
Correct answer: D
Rationale: To multiply 35 × 25, break it down into (30 + 5) × 25. Now distribute: (30 × 25) + (5 × 25) = 750 + 125 = 875. Therefore, 35 × 25 = 875. Choices A, B, and C are incorrect because they do not represent the correct result of multiplying 35 by 25. Choice A is 1000 times smaller than the correct answer, Choice B is 100 times smaller, and Choice C is 10 times smaller, making them all incorrect. The correct answer is Choice D, 8.75.
4. Divide: 727 ÷ 6 =
- A. 120 r1
- B. 120 r3
- C. 121 r1
- D. 127 r3
Correct answer: C
Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.
5. Convert this military time to regular time: 0705 hours.
- A. 7:05 A.M.
- B. 7:05 P.M.
- C. 5:07 A.M.
- D. 5:07 P.M.
Correct answer: A
Rationale: In military time, 0705 hours translates to 7:05 A.M. Military time follows a 24-hour clock format, so there is no change from A.M. to P.M. like in regular time. Choice B (7:05 P.M.) is incorrect as 0705 hours is in the morning. Choices C (5:07 A.M.) and D (5:07 P.M.) are incorrect due to the incorrect order of hours and minutes.
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