Methods and notations · Published by Maksym Shevchuk · Updated
Dosage calculation cheat sheet: nursing math on one printable page
From doseready.app/articles/dosage-calculation-cheat-sheet, where each rule's source is listed. A study sheet: what you may bring into an exam is your program's rule. Exam practice, never for patient care.
Short answer
This sheet puts the nursing math of dosage calculation on one printable page: the formulas, such as D ÷ H × Q for doses, mL ÷ hr for pump rates and mL × drop factor ÷ min for drip rates; the metric and household equivalents; IV drop factors; and published rounding rules. Your program's rounding rule is the one graded.
Formulas
Each row is one kind of problem, and any notation your program teaches gives the same answer. Write a unit with every number: in dimensional analysis the units you are getting rid of cancel on the diagonal, so a factor set upside down shows as a unit that does not cancel. The formulas guide explains each row, and the desired over have guide explains D ÷ H × Q, including an order and a label in different units.
| Problem | Formula | Answer in |
|---|---|---|
| Tablets and capsules | D ÷ H × Q, where Q is one tablet or capsule | tablets or capsules |
| Oral liquids | D ÷ H × Q, where Q is the volume the label's strength refers to, such as 5 mL | mL |
| Injections | D ÷ H × Q, where H and Q come from the vial's concentration | mL |
| Reconstitution | D ÷ the concentration after mixing, from the label, × the volume that concentration refers to | mL |
| Unit conversions | amount × a factor with the unit you are leaving on the bottom | the new unit |
| mL per hour | volume (mL) ÷ time (hr) | mL/hr |
| mL per hour from a dose per hour | dose per hour ÷ dose in each mL | mL/hr |
| mL per hour from a dose per minute | dose per minute × 60 ÷ dose in each mL, in the same drug unit | mL/hr |
| mL per hour from a dose per kg per minute | dose per kg per minute × weight (kg) × 60 ÷ dose in each mL, in the same drug unit | mL/hr |
| Drops per minute | volume (mL) × drop factor (gtt/mL) ÷ time (min) | gtt/min |
| Drops per minute from mL/hr | mL/hr × drop factor ÷ 60 | gtt/min |
| Infusion time | volume (mL) ÷ rate (mL/hr) | hr |
| Weight-based dose | dose per kg × weight (kg), with kg = lb ÷ 2.2 | the order's unit, such as mg |
Conversions
Open RN lists these metric and household equivalents among the ones nurses must memorize; rate problems add hours to minutes. Going to a smaller unit gives a bigger number. The conversion chart lists each direction, with worked examples.
| Equivalent | Multiply by |
|---|---|
| 1 g = 1,000 mg | 1,000 mg / 1 g or 1 g / 1,000 mg |
| 1 mg = 1,000 mcg | 1,000 mcg / 1 mg or 1 mg / 1,000 mcg |
| 1 kg = 1,000 g | 1,000 g / 1 kg or 1 kg / 1,000 g |
| 1 kg = 2.2 lb | 1 kg / 2.2 lb or 2.2 lb / 1 kg |
| 1 L = 1,000 mL | 1,000 mL / 1 L or 1 L / 1,000 mL |
| 1 tsp = 5 mL | 5 mL / 1 tsp |
| 1 tbsp = 15 mL | 15 mL / 1 tbsp |
| 1 fl oz = 30 mL | 30 mL / 1 fl oz or 1 fl oz / 30 mL |
| 1 hr = 60 min | 60 min / 1 hr or 1 hr / 60 min |
IV drop factors
The drop factor is the number of drops in 1 mL through a gravity tubing set, and an exam problem gives it. From a rate in mL/hr, drops per minute are mL/hr × drop factor ÷ 60, which the last column works out for each factor; drops are rounded to a whole number. The IV drip rate guide explains both drip rate formulas.
| Drop factor | Tubing | Drops per minute from mL/hr |
|---|---|---|
| 10 gtt/mL | Macrodrip | mL/hr ÷ 6 |
| 12 gtt/mL | Macrodrip | mL/hr ÷ 5 |
| 15 gtt/mL | Macrodrip | mL/hr ÷ 4 |
| 20 gtt/mL | Macrodrip | mL/hr ÷ 3 |
| 60 gtt/mL | Microdrip | The same number as mL/hr |
Rounding rules
Most published rules round once, at the final answer; Mercer County rounds a weight converted to kilograms to the tenth first. The rounding rules guide sets the published rules side by side, and the leading and trailing zeros guide covers how to write the answer. DoseReady's practice problems are rounded once, at the end: nearest tenth, half rounds up, except tablets and capsules, rates in milliliters per hour and drip rates in drops per minute, which go to the nearest whole number, half rounds up.
| Answer | Published rule |
|---|---|
| When to round | At the final answer (Open RN, Shawnee State; WisTech: avoid rounding intermediate calculations). Mercer County converts a weight in pounds to kilograms first, rounded to the tenth. |
| A dose over 1 mL | Nearest tenth (Open RN, adult oral liquids; Shawnee State, any final answer greater than one) |
| A dose under 1 mL | Nearest hundredth (Open RN, oral liquids; Shawnee State, any final answer less than one) |
| Drip rate (gtt/min) | Nearest whole number (Open RN, Bergen, Shawnee State); Mercer County reports manual drip rates in whole numbers |
| Pump rate (mL/hr) | Your program's rule: Mercer County allows the nearest tenth; WisTech's worked example asks for the nearest whole number; Open RN's multi-step example rounds to the hundredth, depending on agency policy and pump settings |
| Exactly half | Rounds up: “Five and up, round up” (Mercer County); Open RN rounds 0.05 and above up when rounding an adult oral liquid to the tenth |
| Writing the answer | A leading zero before a decimal point (0.5 mg) and no trailing zero after a whole number (1 mg), as ISMP lists them; a unit on every answer (Shawnee State, Mercer County) |
Printing the sheet
Your browser's Print command prints this page as one sheet: the four tables and a line saying where they came from, without the site's menus, the explanations, the questions or the sources. Save it as a PDF the same way.
It is a study sheet; what you may bring into an exam is your program's rule. To test yourself, the printable practice test has 45 problems with an answer key, and the practice pages work each problem step by step.
Practice this
Dosage calculation practice problems with answers
Each problem opens to its worked solution, the answer under a stated rounding rule and the sources it is built from.
Questions
- What goes on a dosage calculation cheat sheet?
- The formulas for doses, pump rates, drip rates and infusion times; the metric and household equivalents; the drop factors of IV tubing; and the rounding rules. When you study, use your program's rounding rule and notation; those are the ones graded.
- What is a med math cheat sheet?
- A one-page reference for medication math: the formulas, conversion factors, drop factors and rounding rules used in dosage calculation. It summarizes; the guides this sheet links show how to set each problem up and work it through.
- Which conversions do nurses need to memorize?
- Open RN's must-memorize list includes 1 g = 1,000 mg, 1 mg = 1,000 mcg, 1 kg = 1,000 g, 1 kg = 2.2 lb, 1 L = 1,000 mL, 1 tsp = 5 mL, 1 tbsp = 15 mL and 1 fl oz = 30 mL; rate problems add 1 hr = 60 min.
- Can you use a cheat sheet on a dosage calculation exam?
- Only if your program allows it; its syllabus or exam policy says what you may bring. This sheet is for studying: to learn the formulas and factors, and to check your setup while you practice.
- How do you round in dosage calculations?
- Usually once, at the final answer; Mercer County rounds a converted weight first. Published rules often round an adult dose over 1 mL to the tenth, a dose under 1 mL to the hundredth and drip rates to a whole drop; pump rates vary. Your syllabus's rule is graded.
Sources
- [1]Toney-Butler TJ, Nicolas S, Wilcox L. Dose Calculation Desired Over Have Formula Method. StatPearls (2023)ncbi.nlm.nih.gov
- [2]Open RN, Nursing Skills 2e, 5.6 Using Dimensional Analysis (WisTech Open, 2023)wtcs.pressbooks.pub
- [3]Open RN, Nursing Skills 2e, 5.4 Equivalencies (WisTech Open, 2023)wtcs.pressbooks.pub
- [4]Open RN, Nursing Skills 2e, 5.5 Rounding (WisTech Open, 2023)wtcs.pressbooks.pub
- [5]Open RN, Nursing Skills 2e, 5.17 Multi-Step Calculations (WisTech Open, 2023)wtcs.pressbooks.pub
- [6]Open RN, Nursing Skills 2e, chapter 5, section 10: Reconstituted Medication (WisTech Open, 2023)wtcs.pressbooks.pub
- [7]Open RN, Nursing Skills 2e, 5.11 Weight-Based Calculations (WisTech Open, 2023)wtcs.pressbooks.pub
- [8]Open RN, Nursing Skills 2e, 5.14 IV Infusion by Gravity (WisTech Open, 2023)wtcs.pressbooks.pub
- [9]Open RN, Nursing Skills 2e, 5.15 IV Infusion by Pump (WisTech Open, 2023)wtcs.pressbooks.pub
- [10]Open RN, Nursing Skills 2e, 5.16 IV Completion Time (WisTech Open, 2023)wtcs.pressbooks.pub
- [11]WisTech Open, Nursing Dosage Calculations, 4.1 Introduction to IV Flow Rates and Infusion Time (2024)wtcs.pressbooks.pub
- [12]Bergen Community College Nursing, Pharmacological Math Computation Skills Self Learning Module (2023)bergen.edu
- [13]Shawnee State University School of Nursing, Student Handbook 2026-2027, Math Policyshawnee.edu
- [14]Mercer County Community College Nursing, Medication Calculation Guidelines (updated September 2020)mccc.edu
- [15]ISMP, List of Error-Prone Abbreviations, Symbols, and Dose Designations (2024)online.ecri.org
No licensed clinician has reviewed this guide. How the guides are made. Exam practice, never for patient care. Follow your program's rules.
More guides
- The dosage calculation exam in nursing school: what is on it and how to prepare
- Dosage calculation exam rules by nursing program: passing scores, retakes and calculators
- Dosage calculation formulas for nursing: one table for the common problems
- Nursing dosage conversion chart: metric and household equivalents
- Rounding rules for dosage calculations
- Leading and trailing zeros in medication doses: the ISMP rules for nursing
- Desired over have formula: how D/H × Q works in dosage calculations
- Ratio and proportion dosage calculations: how to set them up
- How to calculate mL/hr: the IV pump rate formula for each kind of order
- How to calculate infusion time in hours and minutes
- Reconstitution dosage calculation: from a powder vial to milliliters
- Tablet dosage calculation: how many tablets or capsules per dose
- Oral liquid dosage calculation: how many mL carry the ordered dose
- Weight-based dosage calculation: mg/kg per dose, per day or as a volume
- Dosage calculation mistakes: how to tell which slip gave a wrong answer
- Dimensional analysis for nursing dosage calculations
- IV drip rate formula: how to calculate gtt/min (drops per minute)
- Injectable dosage calculation: how many mL to draw up from a vial