Med Dosage Reference Guide

Dimensional analysis, conversions, and try-it questions for medication dosage review.

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Med Dosage Reference

Use this as a quick dosage calculation study sheet.

This page is a compact reference, not a full practice system. Use it to review the major setup patterns, then build speed and confidence with repeated dosage calculation practice.

How to use this page: Review the setup patterns here, then practice beyond these try-it questions. The problems on this reference guide are only a small sample of medication dosage calculations. For full preparation, use the Med Dosage Workbook, Med Dosage QBank, Infinite QBank, and the free Med Dosage resources linked at the end of this guide and at www.bcraftmath.com/meddosage.

Reference

Common Conversions, Formulas, and Dimensional Analysis Setup

Quick reference for the conversion factors, formulas, maintenance-fluid tables, and setup habits that show up most often in medication dosage calculations.

Most Common Conversions

Common medication dosage conversion factors
Conversion
Weight
1 kg = 2.2 lb
1 kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
1 lb = 16 oz
Volume
1 L = 1000 mL
1 mL = 1 cc
Household
30 mL = 1 fl oz
5 mL = 1 tsp
3 tsp = 1 tbsp
15 mL = 1 tbsp
8 fl oz = 1 cup
1 oz = 2 tbsp
1 pt = 2 cups
1 qt = 2 pt
1 gal = 4 qt
Time
1 day = 24 hr
1 hr = 60 min
1 min = 60 sec

Dimensional Analysis Steps

You do not need to memorize a pile of formulas, but you do need to know your conversions. Also, watch for distractors. Extra numbers are common, and not every number in the problem has to be used.

  1. Ask, "What is the goal?" Examples: mL/hr, gtt/min, tablets per dose, capsules per day, or mL.
  2. Start with the word or unit on top. If the goal has two words, start with the top word first.
  3. Get rid of words you do not want by canceling units. If a unit is on bottom, put the matching unit on top of another fraction so it cancels.
  4. Keep going until the only unit or units left are part of the goal.
  5. When the goal is met, multiply the top numbers, divide by the bottom numbers, and round the final answer correctly.

Frequency Shortcuts

  • q12h means every 12 hours
  • q8h means every 8 hours
  • q6h means every 6 hours
  • bid means twice per day
  • tid means three times per day
  • qid means four times per day

BSA and Parkland Formulas

Use the formula that matches the units given in the problem. If pounds are used in a Parkland problem, convert pounds to kilograms first.

  • BSA in m² = \(\sqrt{\frac{\text{weight in kg} \times \text{height in cm}}{3600}}\)
  • BSA in m² = \(\sqrt{\frac{\text{weight in lb} \times \text{height in in}}{3131}}\)
  • For BSA medication doses, calculate BSA first, round BSA to the nearest hundredth, then use the rounded BSA to find the medication amount.
  • Medication dose = ordered dose per m2 x BSA.
  • Parkland formula: 4 mL x weight in kg x %TBSA = total fluid for the first 24 hr. For %TBSA, if it is 30%, use 30 in your calculation (not the decimal form).
  • For Parkland, give half of the 24-hour total in the first 8 hours and the other half over the next 16 hours.

Holliday-Segar and 4-2-1 Tables

Use the Holliday-Segar table when the question asks for mL/day. Use the 4-2-1 table when the question asks for mL/hr.

Holliday-Segar Daily Table

Holliday-Segar daily fluid maintenance table
Weight Holliday-Segar Daily Maintenance
0-10 kg 100 mL/kg/day
11-20 kg 1000 mL + 50 mL/kg/day for each kg over 10 kg
Over 20 kg 1500 mL + 20 mL/kg/day for each kg over 20 kg

4-2-1 Hourly Table

4-2-1 hourly maintenance fluid table
Weight 4-2-1 Hourly Rate
0-10 kg 4 mL/kg/hr
11-20 kg 40 mL/hr + 2 mL/kg/hr for each kg over 10 kg
Over 20 kg 60 mL/hr + 1 mL/kg/hr for each kg over 20 kg

Common Abbreviations

This list is not every abbreviation you could ever see, but it covers many of the ones that show up often in med dosage courses.

  • IM: intramuscular
  • IV: intravenous
  • PO: by mouth
  • gtt: drops
  • mL: milliliter
  • L: liter
  • g: gram
  • mg: milligram
  • mcg: microgram
  • kg: kilogram
  • lb or lbs: pounds
  • hr: hour
  • min: minute
  • sec: second
  • cc: cubic centimeter
  • oz: ounce
  • fl oz: fluid ounce
  • tbsp: tablespoon
  • tsp: teaspoon
  • qt: quart
  • pt: pint
  • c: cup
  • gal: gallon
  • stat: immediately

Math and Rounding Rules

Rounding rules can vary from school to school. These are the rules used for this reference and the CraftMath Med Dosage practice resources unless a problem says otherwise.

  1. Liquids less than 1 mL: round to the nearest hundredth.
  2. Liquids greater than 1 mL: round to the nearest tenth.
  3. Tablets are either half or whole. Capsules are whole.
  4. Drop rates (gtt/min) and flow rates (mL/hr): round to the nearest whole number.
  5. Use a leading zero and no trailing zeros. Write 0.5 mL, not .5 mL, and write 2.5 mL, not 2.50 mL.
  6. Round mg to the nearest tenth unless the problem gives different directions.
  7. Equivalent rate formats mean the same thing: \(125\frac{\text{mL}}{\text{hr}}\), 125 mL/hr, and 125 mL per hour.

Topic Reference

Med Dosage Topics

Each topic below is formatted like a compact course module: a quick reference, then one or two try-it questions with answers. This is still a reference, not a replacement for repeated practice.

D.1: Conversions

Quick reference and practice for unit conversions used in medication dosage calculations.

Quick reference

  • Identify the requested unit before setting up the problem.
  • Arrange conversion factors so unwanted units cancel.
  • Dimensional analysis helps prevent choosing multiplication when division is required.
  • Use the conversion factors at the beginning of this reference guide when needed.
1. Convert 0.75 g to milligrams.
2. Convert 2.5 tsp to milliliters.
3. Convert 1.75 hr to hours and minutes.

D.2: Tablets and Capsules

Quick reference and practice for tablets, capsules, labels, and per-dose versus per-day wording.

Quick reference

  • Goal: tablets or capsules per dose or per day.
  • Begin with the available unit, such as 1 tablet over the labeled strength.
  • Check whether the question asks per dose or per day, and use the frequency only when needed.
  • Capsules are whole. Tablets may be whole or half if they are scored.
1. The order is 500 mg q8h. The medication is available as 250 mg tablets. How many tablets should be given per dose?
2. The order is 500 mcg tid. The medication is available as 1 mg tablets. How many tablets will the patient receive per day?

D.3: Liquids

Quick reference and practice for oral and injectable liquid medication calculations.

Quick reference

  • Goal: usually mL, but sometimes tsp or tbsp.
  • Treat a label such as 250 mg/5 mL as one conversion factor.
  • Check whether the answer is per dose or per day.
  • Convert the final volume unit only when the requested unit differs.
1. The order is 125 mg q8h. The medication is available as 250 mg/5 mL. How many mL should be given per dose?
2. The order is 125 mg q8h. The medication is available as 250 mg/5 mL. How many tsp will the patient receive per day?

D.4: mL/hr

Quick reference and practice for infusion pump rates from total volume, time, weight-based orders, and bag labels.

Quick reference

  • Goal: mL/hr for an infusion pump.
  • For total volume and time, divide mL by hours.
  • For dose-based or weight-based orders, continue the dimensional-analysis chain until only mL/hr remains.
1. Infuse 750 mL over 6 hours. What is the pump rate in mL/hr?
2. Electrolyte Fluid is ordered at 0.05 mg/kg/min for a patient who weighs 135 lb. What is the pump rate in mL/hr? Round the final answer to the nearest whole number.
5 mg/mLElectrolyteFluid1000 mgComposition: Each 100 mL contains 500 mgof electrolyte fluids with dextrose hydrous.Hydrochloric acid for pH adjustment (3.0 -5.0).Dosage: Intended for IV infusion. Refer to thepackage insert for complete directions. Do notmix with other medications.Rx Only.Storage: Store at or below -20and thaw atroom temperature or under refrigeration priorto use. Do not thaw in water baths ormicrowave. Do not refreeze. After thawing,solution is stable for 30 days in refrigerator or3 days at room temperature.200 mLNDC 09876-5432-10Batch P-9669EXP 07/27FOR EDUCATIONAL PURPOSES ONLYThis is a simulated pharmaceutical label for educational use only.Not for actual clinical use.bcraftmath.com

D.5: gtt/min

Quick reference and practice for manual IV drip-rate calculations.

Quick reference

  • Goal: gtt/min for a manual IV infusion.
  • Use the tubing drop factor in gtt/mL.
  • Convert hours to minutes and round to the nearest whole drop.
1. Infuse 1000 mL over 8 hours using tubing with a drop factor of 15 gtt/mL. What is the drip rate?
2. A medication is ordered at 2 mg/min. The solution contains 500 mg in 250 mL. The drop factor is 20 gtt/mL. What is the drip rate?

D.6: Heparin

Quick reference and practice for heparin units, boluses, and infusion rates.

Quick reference

  • Heparin doses are expressed in units.
  • Identify whether the question asks for units/hr, mL/hr, or a bolus volume.
  • Treat units as the medication-dose unit and cancel it like mg or mcg.
1. Heparin is ordered at 1200 units/hr. The IV bag contains heparin 25,000 units in 500 mL. What is the pump rate?
2. A heparin bolus is ordered at 80 units/kg for a 75 kg client. Heparin is available as 5,000 units per mL. How many mL should be given?

D.7: Infusion Time

Quick reference and practice for infusion duration and completion-time calculations.

Quick reference

  • Goal: infusion duration or completion time.
  • Use volume ÷ rate to find hours.
  • Convert decimal hours to minutes, then add the duration to the start time.
  • Check AM/PM, military time, and whether the finish occurs the next day.
1. An IV of 875 mL is running at 100 mL/hr. How long will it take to infuse?
2. An IV of 650 mL is running at 100 mL/hr. If it starts at 2100, what time will it finish?

D.8: Safe Dose Range

Quick reference and practice for checking whether a dose is within the recommended range.

Quick reference

  • Calculate the minimum and maximum safe amounts.
  • Compare per-dose orders with the per-dose range and daily orders with the daily range.
  • State safe or unsafe and support the conclusion with the calculated range.
1. The safe dose is 10 to 15 mg/kg/dose. A child weighs 22 kg. The ordered dose is 300 mg. Is the dose safe?
2. The safe dose is 8 to 12 mg/kg/day. A child weighs 18 kg. The order is 60 mg q8h. The medication is available as 100 mg per 5 mL. Find the safe range per dose, safe range per day, decide if the dose is safe, and find the mL per dose if safe.

D.9: Distractors

Quick reference and practice for identifying what information actually matters in a dosage problem.

Quick reference

  • Identify the requested unit before calculating.
  • Ignore values that cannot affect that requested unit.
  • If a unit will not cancel, check whether the value is a distractor or whether a conversion is missing.
1. A patient weighs 72 kg. The order is 500 mg q8h. The medication is available as 250 mg/5 mL. How many mL should be given for one dose?
2. A provider orders 1000 mL of IV fluid with 40 mEq of potassium to infuse over 8 hours. The tubing drop factor is 15 gtt/mL. What is the flow rate in mL/hr?

D.10: Building the Double Slash

Quick reference and practice for weight-based double-slash dimensional-analysis chains.

Quick reference

  • Use the double slash setup when the goal has a dose unit, body weight, and time unit, such as mg/kg/hr or mcg/kg/min.
  • Start with the top unit in the goal, then use the order or bag concentration, flow rate, weight, and time conversions to build the chain.
  • Keep cancelling until only the requested double-slash unit remains.
1. A client weighs 60 kg and is receiving 240 mg in 500 mL at 25 mL/hr. How many mg/kg/hr is the client receiving?
2. A client weighs 110 lb and is receiving 300 mg in 250 mL at 10 mL/hr. How many mcg/kg/min is the client receiving?

D.11: BSA

Quick reference and practice for body-surface-area medication calculations.

Quick reference

  • BSA doses are commonly ordered in mg/m².
  • Calculate and round BSA as directed before calculating the medication dose.
  • Multiply the ordered amount per m² by the patient's BSA, then use the available concentration if a volume is requested.
  • Use the BSA and Parkland formulas provided at the top of this reference guide.
1. A medication is ordered at 50 mg/m². The patient has a BSA of 1.6 m². The medication is available as 100 mg/2 mL. How many mL should be given?
2. A client weighs 60 kg and is 150 cm tall. The medication is ordered at 25 mg/m². Find the client’s BSA and medication amount in mg.

D.12: Reconstitution

Quick reference and practice for using the final concentration after a medication is mixed.

Quick reference

  • Read the label for the amount of diluent and the concentration after mixing.
  • Calculate the dose using the final concentration, not the dry-powder amount alone.
  • After reconstitution, solve it like any other liquid-medication problem.
1. After reconstitution, a medication has a concentration of 400 mg/5 mL. The order is 240 mg. How many mL should be given?
2. Use the medication label. How much diluent should be added, and how many mL should be given for an order of 600 mg?
Storage: Prior to and after reconstitution, store at 20°C to 25°C (68°F to 77°F), see USP Controlled Room Temperature. To reconstitute, add 5 mL of Sterile Water to make a solution containing 200 mg per mL. Shake to dissolve. Administer the solution within 24 hours. Discard any unused portion. Steroid 1 g per vial FOR EDUCATIONAL PURPOSES ONLY This is a simulated pharmaceutical label for educational use only. Not for actual clinical use. bcraftmath.com NDC 88742-6147-01 Vial No. 4188 Exp 07/2027

D.13: Fluid Intake and Output

Quick reference and practice for intake, output, and fluid balance.

Quick reference

  • Convert all measurable fluids to mL.
  • Total intake and output separately.
  • Fluid balance = intake − output.
  • Do not count nonfluid distractors.
1. A patient drinks 8 oz of water and 120 mL of juice, then receives 500 mL IV fluid. Output is 650 mL. What is the fluid balance?
2. Use the shift record to calculate intake, output, and total (net) I&O. Use intake minus output for total (net) I&O.
8-Hour Shift Record
  • Water: 6 oz
  • Juice: 120 mL
  • IV fluid: 75 mL/hr for 8 hr
  • Urine: 700 mL
  • Emesis: 100 mL
  • Oral medication: 2 tablets

D.14: Maintenance Fluids

Quick reference and practice for hourly and daily maintenance fluid calculations.

Quick reference

  • Use the 4-2-1 hourly table when the requested rate is mL/hr.
  • Use the Holliday-Segar daily table when the requested amount is mL/day.
  • Pick the row that matches the patient's weight. The previous weight ranges are already included in the row formula.
1. Use the 4-2-1 rule to find the hourly maintenance fluid rate for a 26 kg child.
2. Use the Holliday-Segar daily table to find the daily maintenance fluid need for an 18 kg child.