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Nursing care

Dosage calculation practice problems with worked answers and the error behind each

Written and reviewed by Nicole Ramirez, BSN, RN, CMSRN · 5 min read · Updated November 2026

Short answer

These dosage calculation practice problems cover six common types: tablets, oral liquids, weight-based doses, safe dose ranges, IV pump rates in mL/hr and gravity drip rates in drops per minute. Each shows the setup with units carried through, the answer, and the mistake that most often produces a wrong result. All numbers are practice figures, not real orders.

Rules to apply before you start

Every problem here uses dimensional analysis or the equivalent dose ordered divided by dose on hand times quantity. Set up units so they cancel, and if the unit left over is not the one you need, the setup is wrong before you touch the calculator. Do not round partway through; round only the final answer.

Rounding and notation rules used in these problems (Open RN)
SituationRule
Liquid dose over 1 mLRound to the tenth
Liquid dose under 1 mLRound to the hundredth
Drops per minuteRound to the nearest whole drop
Writing decimalsUse a leading zero (0.5 mg) and no trailing zero (5 mg, not 5.0 mg)
Weight conversion1 kg = 2.2 lb

Your program or facility may set different rounding rules, and the exam question's instructions override any general rule. Read the last line of the stem for the unit and the rounding instruction before you start working.

Oral doses: tablets and liquids

Tablet and liquid problems test whether you can match the ordered dose to what is on the label. The most frequent error is reading the label's total amount instead of its concentration, for example treating 250 mg per 5 mL as 250 mg per mL.

Worked example

Problem 1, tablets (practice figures): ordered 0.5 mg; tablets on hand are 0.25 mg each
tablets = dose ordered / dose per tablet
  1. Write the order: 0.5 mg
  2. Divide by strength: 0.5 mg / 0.25 mg per tablet
  3. mg cancels, leaving tablets
Answer: 2 tablets. Common error: dropping the leading zero and reading .5 as 5, giving 20 tablets.

Worked example

Problem 2, oral liquid (practice figures): ordered 375 mg; supply is 250 mg per 5 mL
mL = (5 mL / 250 mg) x 375 mg
  1. Concentration fraction: 5 mL / 250 mg
  2. Multiply by 375 mg; mg cancels
  3. 5 x 375 = 1875; 1875 / 250 = 7.5
Answer: 7.5 mL. Common error: treating the label as 250 mg per mL and giving 1.5 mL.

Weight-based doses and safe dose range

Weight-based problems add a conversion step, and the classic mistake is multiplying mg/kg by the weight in pounds, which gives a dose 2.2 times too large. Convert first, then check the result against the safe range before you prepare anything.

Worked example

Problem 3, weight-based liquid (practice figures): child weighs 33 lb; ordered 15 mg/kg; supply is 160 mg per 5 mL
mL = (5 mL / 160 mg) x (15 mg / kg) x (1 kg / 2.2 lb) x 33 lb
  1. Convert: 33 lb / 2.2 = 15 kg
  2. Dose: 15 mg/kg x 15 kg = 225 mg
  3. Volume: 225 mg x 5 mL / 160 mg = 7.03 mL
  4. Round to the tenth: 7.0, written as 7 mL
Answer: 7 mL. Common errors: using 33 as kg (15.5 mL) or writing 7.0 mL, a trailing zero that can be misread as 70.

Worked example

Problem 4, safe dose range (practice figures): child weighs 15 kg; reference range 10 to 15 mg/kg per dose; ordered 200 mg
low = 10 mg/kg x kg; high = 15 mg/kg x kg
  1. Low end: 10 x 15 = 150 mg
  2. High end: 15 x 15 = 225 mg
  3. Compare: 200 mg falls between 150 and 225 mg
Answer: Safe; give as ordered. If it fell outside the range, hold and clarify with the prescriber.

Open RN uses the same three-step routine: calculate both ends of the range, then compare the ordered dose. A dose above the range is a hold-and-clarify finding, never something to adjust yourself.

IV rates: pump and gravity

Pump problems ask for mL/hr; gravity problems ask for drops per minute and need the tubing's drop factor, which is printed on the package. Macrodrip sets deliver 10, 15 or 20 drops per mL and microdrip sets deliver 60.

Worked example

Problem 5, pump rate (practice figures): 1,000 mL to infuse over 8 hours
mL/hr = total volume (mL) / time (hr)
  1. 1,000 mL / 8 hr
  2. = 125 mL/hr
Answer: 125 mL/hr. Common error: dividing by minutes when the pump is programmed per hour.

Worked example

Problem 6, gravity drip (practice figures): 500 mL over 4 hours with 15 gtt/mL tubing
gtt/min = (volume mL x drop factor gtt/mL) / (hours x 60)
  1. Numerator: 500 x 15 = 7,500 gtt
  2. Denominator: 4 x 60 = 240 min
  3. 7,500 / 240 = 31.25
  4. Round to a whole drop
Answer: 31 gtt/min. Common error: forgetting to convert hours to minutes, giving 1,875.

Sources and further reading

Open RN Nursing Skills: Rounding. Round only the final answer; tenths over 1 mL, hundredths under 1 mL; whole drops; leading zero and no trailing zero.

Open RN Nursing Skills: Weight-Based Calculations. 1 kg = 2.2 lb and the dimensional analysis setup for mg/kg liquid doses.

Open RN Nursing Skills: Safe Dosage Range. Calculating low and high ends of a safe range and comparing the ordered dose.

Open RN Nursing Skills: IV Infusion by Gravity. Drip rate formula, macrodrip 10, 15 or 20 gtt/mL and microdrip 60 gtt/mL, rounding drops to whole numbers.

The next step on this is the same as on everything else here: answer questions and read the rationales. Our dosage calculation and lab values practice questions are the closest set to what this page covers.

Common questions

Where can I practice dosage calculations?

Work problems by hand using real labels from your skills lab, then check against a worked key. Open RN's free Nursing Skills textbook has a math calculations chapter with practice items. Redo every missed problem a day later without looking at the answer.

What are common dosage calculation questions in nursing school?

Tablets, oral liquids, reconstituted medications, weight-based pediatric doses, safe dose range checks, IV pump rates, gravity drip rates and infusion completion times. Multi-step problems combine a weight conversion with a concentration in one question.

Should I use dimensional analysis or the formula method?

Either gives the same answer when set up correctly. Dimensional analysis is easier to check because the units must cancel to the one you want, which catches setup errors in multi-step and weight-based problems.

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