HESI A2
HESI A2 Math Practice
1. A doctor orders 1 gram of a medication to be administered intravenously. The available vial contains 200 milligrams per milliliter. How many milliliters of the solution should be drawn up?
- A. 4 milliliters
- B. 5 milliliters
- C. 10 milliliters
- D. 20 milliliters
Correct answer: B
Rationale: 1 gram is equivalent to 1000 milligrams. The concentration of the medication is 200 milligrams per milliliter. To calculate the volume needed, divide the total amount of medication by the concentration: 1000 mg / 200 mg/mL = 5 mL. Therefore, 5 milliliters of the solution should be drawn up to administer 1 gram of the medication intravenously. Choice A (4 milliliters), Choice C (10 milliliters), and Choice D (20 milliliters) are incorrect because they do not accurately calculate the volume of the solution needed based on the concentration of the medication.
2. Lulu is 5 years younger than her sister, who is 7 years older than their 15-year-old cousin. How old is Lulu?
- A. 27
- B. 22
- C. 19
- D. 17
Correct answer: C
Rationale: Let Lulu's sister's age be x. According to the given information, x = 15 (cousin's age) + 7 = 22. So, Lulu's sister is 22 years old. Since Lulu is 5 years younger than her sister, Lulu's age is 22 - 5 = 17. Therefore, Lulu is 17 years old. Choices A, B, and D are incorrect because they do not correspond to the calculations based on the information provided in the question.
3. Teresa began collecting baseball cards exactly 8 months ago, and in that time, she has collected 144 cards. On average, how many baseball cards has she collected per month?
- A. 12
- B. 16
- C. 18
- D. 22
Correct answer: C
Rationale: Teresa collected 144 baseball cards in 8 months. To find the average number of cards collected per month, we divide the total number of cards by the total months: 144 cards ÷ 8 months = 18 cards per month. Therefore, on average, Teresa has collected 18 baseball cards per month. Choice A (12), Choice B (16), and Choice D (22) are incorrect as they do not match the correct calculation based on the information provided in the question.
4. After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct answer: A
Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.
5. 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.
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