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HESI A2 Mathematics: Unit and Dosage Conversions practice questions

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These are original practice items written to the HESI A2 blueprint (4 options, no penalty for wrong answers), not actual exam questions. Try each one before you open the answer.

What this topic covers

Mathematics: Unit and Dosage Conversions sits inside the Mathematics section of the HESI A2. Our bank holds 49 verified items tagged to it, and the 4 below are a fixed sample so the page stays the same every time you open it. Each one shows the reasoning, not just the letter.

The topic tag comes from our own items rather than from a published syllabus, so treat it as a map of what we cover. For the official section breakdown see the HESI A2 page.

Mathematics: Unit and Dosage Conversions sample questions

Question 1

Convert 0.75 liters to milliliters.

  1. A 7500 mL
  2. B 750 mL
  3. C 75 mL
  4. D 7.5 mL
Show the answer and explanation

Correct answer: B

1 L = 1000 mL, so 0.75 × 1000 = 750 mL.

Why the other options are wrong:
A: 7500 mL is off by a factor of 10 (7.5 L).
C: 75 mL is off by a factor of 10 (0.075 L).
D: 7.5 mL is off by a factor of 100 (0.0075 L).

Question 2

An order reads: 'Administer 0.6 g of Medication X.' The vial contains 200 mg of Medication X per 2 mL. How many mL should the nurse draw up?

  1. A 3 mL
  2. B 4 mL
  3. C 12 mL
  4. D 6 mL
Show the answer and explanation

Correct answer: D

Convert 0.6 g to mg: 0.6 g = 600 mg. Concentration is 200 mg/2 mL = 100 mg/mL. Volume = 600 mg / (100 mg/mL) = 6 mL. Alternatively, proportion: 200 mg/2 mL = 600 mg/x mL → 200x = 1200 → x = 6.

Why the other options are wrong:
A: 3 mL would give 300 mg, only half the ordered dose.
B: 4 mL would give 400 mg, still insufficient.
C: 12 mL would give 1200 mg, double the ordered dose.

Question 3

A nurse needs to administer 0.5 L of intravenous fluid over 4 hours. The drop factor is 15 gtt/mL. How many drops per minute should the nurse set the IV to deliver?

  1. A 42 gtt/min
  2. B 63 gtt/min
  3. C 31 gtt/min
  4. D 125 gtt/min
Show the answer and explanation

Correct answer: C

First, convert 0.5 L to mL: 0.5 L × 1000 = 500 mL. Total drops = 500 mL × 15 gtt/mL = 7500 gtt. Time in minutes = 4 hr × 60 = 240 min. Drops per minute = 7500 ÷ 240 = 31.25 ≈ 31 gtt/min.

Why the other options are wrong:
A: 42 gtt/min might result from incorrectly using 500 mL × 15 ÷ 180 min (3 hours) or a miscalculation.
B: 63 gtt/min could come from 500 ÷ 4 × 15 ÷ 30 (confusing hours and minutes).
D: 125 gtt/min results from ignoring the drop factor and just dividing 500 mL by 4 hours (125 mL/hr) and misinterpreting as drops.

Question 4

A physician orders 0.5 mg of a medication. The pharmacy supplies the drug in 250 mcg tablets. How many tablets should the nurse administer?

  1. A 2
  2. B 1
  3. C 0.5
  4. D 4
Show the answer and explanation

Correct answer: A

First convert 0.5 mg to micrograms: 0.5 mg = 500 mcg. Each tablet contains 250 mcg, so 500 ÷ 250 = 2 tablets.

Why the other options are wrong:
B: 1 tablet would provide only 250 mcg, which is half the required dose.
C: 0.5 tablet would provide 125 mcg, far below the ordered amount.
D: 4 tablets would provide 1000 mcg, twice the required dose.

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