Welcome to your NCLEX reviewer for nursing drug calculations! In this nursing test bank, practice dosage calculation problems to measure your competence in nursing math. As a nurse, you must accurately and precisely calculate medication dosages to provide safe and effective nursing care. This quiz aims to help students and registered nurses alike grasp and master the concepts of medication calculation.

## Drug Dosage Calculation Practice Quiz

In this section are the practice problems and questions for nursing dosage calculations. This nursing test bank set includes 100+ questions. Included topics are dosage calculation, metric conversions, unit conversions, parenteral medications, and fluid input and output. As you can tell, this NCLEX practice exam requires tons of calculations, so get your calculators ready!

Remember to answer these questions at your own pace, and don’t forget to read the rationales! Don’t be discouraged if you have incorrect answers. You are here to learn! Make sense of the rationales and review the drug dosage calculations study guide below.

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**Practice Exams**: Engage with our Practice Exams to hone your skills in a supportive, low-pressure environment. These exams provide immediate feedback and explanations, helping you grasp core concepts, identify improvement areas, and build confidence in your knowledge and abilities.**Challenge Exams**: Take our Challenge Exams to test your mastery and readiness under simulated exam conditions. These exams offer a rigorous question set to assess your understanding, prepare you for actual examinations, and benchmark your performance.- You’re given 2 minutes per item.
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**Quizzes included in this guide are: **

## Drug Calculations Reviewer for Nurses

This is your study guide to help you refresh or review what you know about drug dosage calculations, including tips on answering them.

**NCLEX Tips for Dosage Calculation Questions**

- The fill-in-the-blank question format is usually used for medication calculation, IV flow rate calculation, or determining the intake-output of a client. In this question format, you’ll be asked to perform a calculation and type in your answer in the blank space provided.
- Always follow the specific directions as noted on the screen.
- The unit of measure you need for your final answer is always given.
- There will be an on-screen calculator on the computer for you to use.
- Do not put any words, units of measurements, commas, or spaces with your answer, type only the number. Only the number goes into the box. Rounding an answer should be done at the end of the calculation or as what the question specified, and if necessary, type in the decimal point.

**Nursing Responsibilities for Medication Administration**

**10 Rights of Medication Administration.**Understanding the 10 Rights of Drug Administration can help prevent many medication errors. Nurses, who are primarily involved in the administration of medications, benefit from this simplified memory aid to help guide them to administer medications safely.**Right Drug.**The first right of drug administration is to check and verify if it’s the right name and form. Beware of look-alike and sound-alike medication names. Misreading medication names that look similar is a common mistake. These look-alike medication names may also sound alike and can lead to errors associated with verbal prescriptions. Check out The Joint Commission’s list of**look-alike/sound-alike drugs**.**Right Patient**. Ask the name of the client and check his/her ID band before giving the medication. Even if you know that patient’s name, you still need to ask just to verify.**Right Dose**. Check the medication sheet and the doctor’s order before medicating. Be aware of the difference between an adult and a pediatric dose.**Right Route**. Check and verify the order (i.e., per orem, IV, SQ, IM)**Right Time and Frequency.**Check the order for when it would be given and when was the last time it was given.**Right Documentation**. Make sure to write the time and any remarks on the chart correctly.**Right History and Assessment.**Secure a copy of the client’s history to drug interactions and allergies.**Right Drug Approach and Right to Refuse**. Give the client enough autonomy to refuse the medication after thoroughly explaining the effects.**Right Drug-Drug Interaction and Evaluation.**Review any medications previously given or the diet of the patient that can yield a bad interaction to the drug to be given. Check also the expiry date of the medication being given.**Right Education and Information.**Provide enough knowledge to the patient of what drug he/she would be taking and what are the expected therapeutic and side effects.

**Systems of Measurement**

- There are three systems of measurement used in nursing: the metric system, the apothecaries’ system, and household system.
**Metric System**- The most widely used international system of measurement.
- The basic units of metric measures are the
*gram (weight)*,, and*meter (length or distance)**liter (volume)*. - It is a decimal-based system that is logically organized into units of 10. Basic units are multiplied or divided by 10 to form secondary units.

**Apothecaries’ System**- The apothecaries’ system is one of the oldest systems of measurement, older than the metric system and is considered to be out of date.
- The basic units used in this system are the
for weight,*grain (gr)**minim*for volume, ounce, and pound. All of which are seldomly used in the clinical setting. - Quantities in the apothecaries’ system are often expressed by lowercase Roman numerals when the unit of measure is abbreviated. And the unit of measure precedes the quantity. Quantities less than 1 are expressed as fractions. Examples: “gr ii”, “gr ¼ ”
- And yes, it can be confusing therefore use the metric system instead to avoid medication errors.

**Household System**- Household system measures may be used when more accurate systems of measure are not required.
- Included units are drops, teaspoons, tablespoons, cups, pint, and glasses.

**Other Systems of Measurement****Milliequivalent (mEq)**- The milliequivalent is an expression of the number of grams of a medication contained in 1 milligram of a solution.
- Examples: the measure of serum sodium, serum potassium, and sodium bicarbonate is given in milliequivalents.

**Unit (U)**- Unit measures a medication in terms of its action, not its physical weight.
- When documenting, do not write “U” for unit, rather spell it as “unit” as it is often mistaken as “0”.
- Examples: Insulin, penicillin, and heparin sodium are measured in units.

**Converting Units of Weight and Measure**

**Converting values between metric system**- For drug dosages, the metric units used are the
**gram (g),****milligram (mg),**and**microgram (mcg)**. For volume units**milliliters (mL)**and**liters (L).** - It is simple to compute for equivalents using the metric system. It can be done by dividing or multiplying; or by moving the decimal point three places to the left or right.
- Do not use a “trailing zero” after the decimal point when the dosage is expressed as a whole number. For example, if the dosage is 2m mg, do not insert a decimal point or the trailing zero as this could be mistaken for “20” if the decimal point is not seen.
- On the other hand, do not leave a “naked” decimal point. If a number begins with a decimal, it should be written with a zero and a decimal point before it. For example, if the dosage is 2/10 of a milligram, it should be written as 0.2 mg. It could be mistaken for 2 instead of 0.2.

- For drug dosages, the metric units used are the

Unit | Equivalents |
---|---|

Metric system | Equivalents |

1 microgram (mcg) | 0.000001 g |

1 milligram (mg) | 0.001 g or 1000 mcg |

1 gram (g) | 1000 mg |

1 kilogram (kg) | 1000 g |

1 kilogram (kg) | 2.2 lbs |

1 milliliter (mL) | 0.001 L |

Apothecary system (no longer used) | Equivalents |

1 grain (gr) | 60 or 65 mg |

5 grain (gr) | 300 or 325 mg |

15 grain (gr) | 1000 mg or 1g |

1/150 grain (gr) | 0.4 mg |

Household system (volume) | Equivalents |

1 teaspoon (tsp) | 5 ml or 16 drops |

1 tablespoon (T) | 3 teaspoons or 15 mL |

1 fluid ounce (fl oz) | 2 tablespoons or 30 mL |

1 cup (C) | 8 fluid oz or 240 mL |

1 pint (pt) | 16 fluid oz or 480 mL |

1 quart (qt) | 2 pints or 946 mL or 32 fl oz |

Household system (weight) | Equivalents |

1 pound (lb) | 16 ounce |

2.2 pounds (lbs) | 1 kilogram |

**Converting Units Between Systems**- Household and metric measures are equivalent and not equal measures.
- Conversions to equivalent measures between systems is necessary when a medication prescription is written in one system but the medication label is stated in another.
- Medications are not always prescribed and prepared in the same system of measurement; therefore conversion of units from one system to another is necessary.
- Common conversions in the healthcare setting include pound to kilograms, milligrams to grains, minims to drops.

**Methods for Drug Dosage Calculations**

**Standard Method**- The commonly used formula for calculating drug dosages.
*Where in:*- D = Desired dose or dose ordered by the primary care provider.
- H = dose on hand or dose on the label of bottle, vial, ampule.
- V = vehicle or the form in which the drug comes (i.e., tablet or liquid).

**STANDARD FORMULA**

Formula = \frac{Desired (D) \times Vehicle (V) }{On\ Hand (H)} = amount \ to \ administer

Example: |
---|

Order: Acetaminophen 500 mgOn hand: Acetaminophen 250 mg in 5 mLDesired (D) = 500 mg On hand (H) = 250 mg Vehicle (V) = 5 mL Computation: \frac{500\ mg}{250\ mg} \times 5\ mL = 10\ mL Answer: 10 mL |

**Ratio and Proportion Method**- Considered as the oldest method used for drug calcluation problems.
- For the equation, the known quantities are on the left side, while the desired dose and the unknown amount to administer are on the right side.
*Where in:*- D = Desired dose or dose ordered by the primary care provider.
- H = dose on hand or dose on the label of bottle, vial, ampule.
- V = vehicle or the form in which the drug comes (i.e., tablet or liquid).
- X = amount to administer

- Once the equation is set up, multiply the extremes (H and
*x*) and the means (V and D). Then solve for*x*.

**RATIO AND PROPORTION METHOD**

H : V = D : *x*

Example: |
---|

Order: Erythromycin 750 mgOn hand: Erythromycin 250 mg capsulesDesired (D) = 750 mg On hand (H) = 250 mg Vehicle (V) = 1 capsule Computation: 250 (H) : 1 (V) = 750 (D) : xMultiply the extremes and the means: 250 x = 750 x=3 capsulesAnswer: 3 capsules |

**Fractional Equation Method**- A method similar to ratio and proportion but expressed as fractions.
*Where in:*- D = Desired dose or dose ordered by the primary care provider.
- H = dose on hand or dose on the label of bottle, vial, ampule.
- V = vehicle or the form in which the drug comes (i.e., tablet or liquid).

**FRACTIONAL EQUATION METHOD**

\frac{H}{V}= \frac{D}{x}

Example: |
---|

Order: Digoxin 0.25 mgOn hand: Digoxin 0.125 mg tabletsDesired (D) = 0.25 mg On hand (H) = 0.125 mg Vehicle (V) = 1 tablets Computation: \frac{0.125\ mg}{1\ tablets}= \frac{0.25\ mg}{x} Answer: 2 tablets |

**Fluid Intake and Output Calculation**- Intake and output (I&O) measurement and recording is usually done to monitor a client’s fluid and electrolyte balance during a 24-hour period.
- Intake and output is done for patients with increased risk for fluid and electrolyte imbalance (e.g., heart failure, kidney failure).
- Unit used in measurement of I&O is
**milliliter (mL)**. - Measuring fluid intake entails recording each item of fluid consumed or administered, all of the following fluids are recorded:
- Oral fluids (e.g., water, juice, milk, soup, water taken with medication).
- Liquid foods at room temperature (e.g., ice cream, gelatin, custard).
- Tube feedings including the water used for flushes.
- Parenteral fluids
- Blood products
- IV medications

- Measurement of fluid output includes:
- Urinary output
- Vomitus
- Liquid feces
- Tube drainage
- Wound and fistula drainage

- Measurement of fluid input and output are totaled at the end of the shift and documented in the patient’s chart.
- Determine if fluid intake and fluid output are proportional. When there is a significant discrepancy between intake and output, report to the primary care provider.

## Recommended Resources

Recommended books and resources for your NCLEX success:

**Disclosure: **Included below are affiliate links from Amazon at no additional cost from you. We may earn a small commission from your purchase. *For more information, check out our privacy policy.*

**Saunders Comprehensive Review for the NCLEX-RN**

Saunders Comprehensive Review for the NCLEX-RN Examination is often referred to as the best nursing exam review book ever. More than 5,700 practice questions are available in the text. Detailed test-taking strategies are provided for each question, with hints for analyzing and uncovering the correct answer option.

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Next Generation NCLEX®-style practice questions of all types are illustrated through stand-alone case studies and unfolding case studies. NCSBN Clinical Judgment Measurement Model (NCJMM) is included throughout with case scenarios that integrate the six clinical judgment cognitive skills.

**Saunders Q & A Review for the NCLEX-RN® Examination**

This edition contains over 6,000 practice questions with each question containing a test-taking strategy and justifications for correct and incorrect answers to enhance review. Questions are organized according to the most recent NCLEX-RN test blueprint Client Needs and Integrated Processes. Questions are written at higher cognitive levels (applying, analyzing, synthesizing, evaluating, and creating) than those on the test itself.

**NCLEX-RN Prep Plus by Kaplan**

The NCLEX-RN Prep Plus from Kaplan employs expert critical thinking techniques and targeted sample questions. This edition identifies seven types of NGN questions and explains in detail how to approach and answer each type. In addition, it provides 10 critical thinking pathways for analyzing exam questions.

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## Recommended Links

*An investment in knowledge pays the best interest.* Keep up the pace and continue learning with these practice quizzes:

**Nursing Test Bank: Free Practice Questions**^{UPDATED!}

Our most comprehenisve and updated nursing test bank that includes over 3,500 practice questions covering a wide range of nursing topics that are absolutely free!**NCLEX Questions Nursing Test Bank and Review**^{UPDATED!}

Over 1,000+ comprehensive NCLEX practice questions covering different nursing topics. We’ve made a significant effort to provide you with the most challenging questions along with insightful rationales for each question to reinforce learning.

Part 1: 13/15

Part 2: 33/40

Part 3: 43/50

Part 4: 9/10

Challenging but fun!

Let’s elevate the discourse. Petty, negative remarks are unnecessary.

I agree, negative remarks are unnecessary, especially when the time has been taken to make this information available to us.

Hey, you can always correct/point out people’s mistakes politely, no need to be an ass about it. Being a nurse and having a bachelors degree does not mean one has to be perfect (unless you’re perfect? lol). I can imagine what kind of ‘nurse’ you are/will be. Your lack of manners makes me cringe.

I had my first experience working with RNs through the covid times and the person I worked with and trained me was like that he wanted or expected me to think like him and do everything like him and if I would ask him a question to confirm he would say things like “didn’t I explain that already or something like a smart allic ” trust me I am very proud not to have punched him all of these times but he was harmless in nursing there are just those people that don’t think about others and just expect you’re like them or if your not your below them which is unfortunate!

I learned how not to be and how to act I would even help the new RNs once I was concerned not new and I would be determined not to treat anyone how I was treated I don’t think it was A RN thing it was either you on his level or not so after I was comfortable I started going off on him bickering back and forth but he had to know I am not the one and I was new so I let it slide but don’t make those mistake anymore! he would sabotage me I have to admit he did it a way that no one knew very smart which means he’s a sneaky snake and worst everyone loved him that’s why I didn’t say anything day one I knew this and It worked and I was fired!

it was a temp job so no big deal but I learned how to deal with co-workers like this are out there and look out and management I knew would be no help but I did tell them but they cared less just like I thought how do you take reports on my training from the person who is training me is not training me so if I don’t know how to do something I get blamed for it?! wtf 2+2 is=4 so why don’t they get that and blame me not him! bs

With that said as nurses let us pull each other up we have enough to deal with that can make us feel we can be at our lowest we don’t need a coworker to speed up the process let’s do better

Don’t dwell on it, especially on people not worthy of your heart or mind. Resiliency is key. Also justifying your reason doesn’t take away from the point that other people might not ever understand your reasons for your actions, especially if they don’t understand why you did it in the first place.

awsome thanks for the advise

I can’t get the questions when I click the button ”start quiz”. What shall I do?

Hi,

You need to enable javascript on your browser.

The review was very useful to me.

As a student of pharmacy technician, I kindly need more of you.

Question #9 on Part 3 is not correct. I keep getting 1.0281 as the answer

Hi LS, the question also asks to “Record your answer using one decimal place.” so 1.0281 will be 1.1 mL.

1.0281 does not round to 1.1. the second decimal (2) is below 5. It would not round the 1.0 to 1.1. It would stay 1.0 if rounded to the first decimal place

The answer is correct. It’s easy if you set it up like order/on hand then multiply it by the mL.

Desired (D) = 223,500 units

Vehicle (V) = 2.5 mL

Amount on hand (H) = 500,000 units

Amount to administer (only rounding final answer) = D x V / H = 1.1 mL

Question 19 has be ripping out my hair and maybe someone can explain it to me further.

The question states: First, you need to convert 100 mcg/min to mg by moving the decimal point three digits to the left – alternatively, you can divide 100 mcg with 1000 – to get 0.1 mg/min.

Why am I dividing by 1000? I thought if we were trying to get a smaller unit of measure to a larger unit of measure we multiply and if we were trying to get a larger unit of measure to a smaller unit we divide. Well MCG if small the MG… wouldn’t we multiply then??

Use unit cancellation method it is much more easier. I got the right answer on my first try. :)

Thanks very much for sharing with us! May the Almighty God bless and protect you in all your undertakings.

I got 95% (1 mistake) which I only forgot to round off. Very nice!

This is very helpful. I get to follow solutions in here. Thank you so much! More power!

Very helpful practice questions.

Was helpful

Got only one question but though I haven’t entered school yet but I think I need to learn more on mathematics

We have mcg/min, and we need to get to mL/hour.

First, let’s convert from mcg to mg:

100 mcg/min x 1 mg/1000 mcg = 0.1 mg/min

Next, let’s convert from min to hr:

0.1 mg/min x 60 min/hr = 6 mg/hr

Finally, let’s convert from mg to mL:

6 mg/hr x 500 mL/75 mg = 40 mL/hr

Hope this helps!

yes it does help alot thanks

The Drug Dosage Calculation Practice Quiz, Question 14: The stated order is for 20mg over an hour. The answer provided and the rationale for the answer reflect a 2mg order.

If possible please correct the answer or the order. I spent some time trying to figure out where I was going wrong. – James

question 14. I’m confused where 2mg came from whilst order stated furosemide (Lasix) 20 mg

2mg/min x 250ml/400mg x 60/hr= 75 ml/hr

Sorry about that, it should be 2mg not 20mg. Item fixed.

please help how to solve 1tabletx0.25\0.125

Awesome ! May ALMIGHTY GOD bless you !

These practice questions help me so much, thank you!

Is question # 24 the right answer?

Question: A health care provider orders diphenhydramine hcl (Benadryl) 180 mg/m2/day to a 12 year old child. The child’s weight is 93 pounds and is 5 feet 2 inches tall. The medication label shows the normal adult dose of 25 mg t.i.d. How many mg of benadryl will the child receive at each dose?

Answer: 19.26 mg/day

If you are wanting to find how much per DOSE, should you divide by 3 doses (t.i.d)?

Are there classes for Nclex

Need more