a doctor orders 1 gram of a medication to be administered intravenously the available vial contains 200 milligrams per milliliter how many milliliters

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. How many centimeters are in a foot?

A. 30 cm
B. 31.5 cm
C. 30.48 cm
D. 35 cm

Correct answer: C

Rationale: The correct answer is C: 30.48 cm. This conversion is based on the standard measurement where 1 foot is equal to 30.48 centimeters. Choice A (30 cm) is incorrect as it is a rounded-down value and not precise. Choice B (31.5 cm) is incorrect as it is not the standard conversion for feet to centimeters. Choice D (35 cm) is incorrect as it is not the accurate conversion for a foot to centimeters.

3. If his distribution cost is $10, what will be his profit?

A. $10.40
B. $19.60
C. $14.90
D. $23.40

Correct answer: B

Rationale: To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.

4. A baseball team won 72 games. This was 90% of the games it played. How many games did it play?

A. 75
B. 80
C. 85
D. 100

Correct answer: B

Rationale: Let the total number of games be x. If the team won 72 games, which is 90% of the total games played, we can set up the equation: 72 = 0.90 * x. To find x, divide 72 by 0.90: x = 72 / 0.90 = 80 games. Therefore, the baseball team played 80 games in total. Choice A, 75, is incorrect because it is less than 80. Choice C, 85, is incorrect as it is more than 80. Choice D, 100, is incorrect as it is significantly more than the calculated total of 80 games.

5. Convert the decimal to a percent: 0.000026

A. 0.0026%
B. 0.026%
C. 2.6%
D. 26%

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. Therefore, the correct answer is A: 0.0026%. Choices B, C, and D are incorrect because they incorrectly place the decimal point, resulting in percentages that are too large.