a physician wants to prescribe 5 mg of a medication to a patient the medication comes in a 2 mg dose per 1 ml vial how many milliliters of the medicat

HESI A2

HESI A2 Math Practice Test 2022

1. A physician wants to prescribe 5 mg of a medication to a patient. The medication comes in a 2-mg dose per 1-mL vial. How many milliliters of the medication should the patient receive?

A. 2.5 mL
B. 2 mL
C. 3 mL
D. 1 mL

Correct answer: A

Rationale: To determine the amount of medication the patient should receive, divide the prescribed dose by the dose per mL in the vial. In this case, 5 mg Ã· 2 mg/mL = 2.5 mL. Therefore, the patient should receive 2.5 mL of the medication. Choice B (2 mL) is incorrect because it does not reflect the correct calculation. Choice C (3 mL) is incorrect as it is higher than the actual amount calculated. Choice D (1 mL) is incorrect as it is lower than the actual amount calculated.

2. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

A. 77/1000
B. 70/99
C. 777/900
D. 7/9

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

3. Which number is the highest among 0.077, 0.777, 0.08, and 0.87?

A. 0.077
B. 0.777
C. 0.08
D. 0.87

Correct answer: D

Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.

4. Solve for x: 7:42 :: 4:x

A. 16
B. 24
C. 48
D. 12

Correct answer: B

Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.

5. Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?

A. 224 plots
B. 220 plots
C. 210 plots
D. 230 plots

Correct answer: A

Rationale: To find the number of plots, divide 56 acres by 0.25 acres per plot: 56 Ã· 0.25 = 224 plots. Therefore, Stewart will have 224 plots of land after dividing the 56 acres. The correct answer is A because dividing 56 acres by 0.25 acres per plot gives 224 plots, not 220, 210, or 230 plots.