HESI A2
HESI A2 Math Practice Exam
1. Express the number 1906 in Roman numerals.
- A. MCMIV
- B. MCMVI
- C. MDCCCCVI
- D. MCMVII
Correct answer: B
Rationale: To convert 1906 to Roman numerals, break it down into components: 1000 (M), 900 (CM), 6 (VI), resulting in MCMVI. Therefore, the correct Roman numeral representation for 1906 is MCMVI. Choice A (MCMIV) is incorrect as it represents 1904. Choice C (MDCCCCVI) is incorrect because it uses the subtractive notation incorrectly, and it's considered nonstandard. Choice D (MCMVII) is incorrect as it represents 1907, not 1906.
2. Casey spent $80 on items where each item costs $4. How many items did Casey buy?
- A. 12
- B. 18
- C. 20
- D. 24
Correct answer: C
Rationale: To determine the number of items Casey bought for $80, we divide the total amount spent ($80) by the cost per item ($4). The calculation gives us 20, indicating that Casey bought 20 items in total to reach the $80 expenditure ($80 รท $4 = 20). Therefore, the correct answer is C, 20. Choices A (12), B (18), and D (24) are incorrect because they do not align with the correct division calculation based on the information provided.
3. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
- A. 48
- B. 18
- C. 8
- D. 6
Correct answer: C
Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.
4. 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.
5. Percent (%) is a way to express a fraction with a denominator of 100. 125% can be expressed as a fraction in lowest terms. Which of the following represents 125% as a fraction?
- A. 5/4
- B. 1/8
- C. 5/2
- D. 25/2
Correct answer: A
Rationale: Percent (%) represents a value out of 100. To convert 125% to a fraction, it is 125/100. Simplifying 125/100 by dividing both the numerator and denominator by 25 gives us 5/4. Therefore, the correct answer is A. Choice B (1/8), Choice C (5/2), and Choice D (25/2) do not represent 125% as a fraction in lowest terms.
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