HESI A2
Math HESI A2 Practice Test
1. What is the result of subtracting 4.7 from 9.5?
- A. 4.8
- B. 4.9
- C. 4.6
- D. 4.7
Correct answer: A
Rationale: The correct subtraction is 9.5 - 4.7 = 4.8. Therefore, the correct answer is 4.8. Choice B (4.9) is incorrect because 9.5 - 4.7 is not equal to 4.9. Choice C (4.6) is incorrect as it is not the result of subtracting 4.7 from 9.5. Choice D (4.7) is the number being subtracted and not the result of the subtraction.
2. 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.
3. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?
- A. 100ml
- B. 120ml
- C. 140ml
- D. 160ml
Correct answer: B
Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.
4. A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?
- A. $36,290.40
- B. $45,357.60
- C. $81,648
- D. $44,000
Correct answer: A
Rationale: To calculate the profit, first find the total revenue: 240 acres × 60 bushels/acre × $5.67/bushel = $81,648. Then, calculate the total cost: 240 acres × $188.99/acre = $45,357.60. Finally, subtract the cost from the revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40. Choice B, $45,357.60, is the total cost, not the profit. Choice C, $81,648, is the total revenue, not the profit. Choice D, $44,000, is an arbitrary figure and not related to the calculations provided. Thus, the correct answer is $36,290.40.
5. The head nurse at the hospital has a team of six nurses and one phlebotomist. If the phlebotomist is responsible for 1/7 of the patients, what fraction of the patients is each nurse responsible for?
- A. 1/6
- B. 1/7
- C. 1/8
- D. 1/5
Correct answer: A
Rationale: The correct answer is A: 1/6. The phlebotomist is responsible for 1/7 of the patients, leaving 6/7 of the patients for the six nurses. To find out the fraction of patients each nurse is responsible for, divide the remaining patients (6/7) among the six nurses. This results in each nurse being responsible for 1/6 of the patients. Choice B, 1/7, is incorrect because that is the fraction assigned to the phlebotomist. Choices C and D, 1/8 and 1/5, are incorrect fractions and do not reflect the correct distribution of patients among the nurses.
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