Nursing Calculations Exam
Bank
Course Introduction
Nursing Calculations is a foundational course designed to equip nursing students with the essential mathematical skills required for safe and effective patient care. The course covers fundamental concepts such as arithmetic, fractions, ratios, proportions, and the metric system, with a strong emphasis on accurate medication dosage calculations, intravenous fluid rates, and unit conversions. Through practical examples and clinical scenarios, students will develop problem-solving strategies and confidence in applying mathematical principles within healthcare settings, ensuring patient safety and adherence to best practices.
Recommended Textbook
Calculate with Confidence 7th Edition by Morris
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610 Verified Questions
610 Flashcards
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Chapter 1: Roman Numerals
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11 Verified Questions
11 Flashcards
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Sample Questions
Q1) Write the following Arabic number as a lowercase Roman numeral. \(11 ^ { 1 } / _2\) = _____ Answer: xiss
Q2) Perform the indicated operation and record the result in lowercase Roman numerals.
12 ÷ 2 = _____
Answer: vi
Q3) Perform the indicated operation and record the result in lowercase Roman numerals.
10 + 2 = _____
Answer: xii
Q4) Perform the indicated operation and record the result in lowercase Roman numerals.
7 * 2 = _____
Answer: xiv
Q5) Perform the indicated operation and record the result in lowercase Roman numerals.
29 - 1 = _____
Answer: xxviii
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Chapter 2: Fractions
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42 Verified Questions
42 Flashcards
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Sample Questions
Q1) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 5 1/3 - 1 7/12 = _____
Answer: 3 3/4
Q2) Reduce the following fraction to lowest terms. 54/81 = _____
Answer: 2/3
Q3) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 8/16 - 1/4 = _____
Answer: 1/4
Q4) A client is supposed to drink a 10 ounce (oz) bottle of magnesium citrate before an X-ray study. The client was able to drink 4 oz. How much of the magnesium citrate remains? (Express answer as a fraction reduced to lowest terms.) ______
Answer: 2/5 bottle
Q5) Indicate the largest number in the following set. 5/6, 5/8: _____
Answer: 5/6
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4
Chapter 3: Decimals
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35 Flashcards
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Sample Questions
Q1) Perform the indicated operation with decimals.
0.46 * 0.17 = ______
Answer: 0.0782
Q2) Change the following decimal to a fraction. Reduce to lowest terms if indicated. 0.006 = _____ Answer: 3/500
Q3) Change the following decimal to a fraction. Reduce to lowest terms if indicated. 7.025 = _____
Answer: 7 1/40
Q4) Round off the following decimal to the nearest thousandth. 0.6253 = _____
Answer: 0.625
Q5) A client received 0.375 mg of a medication for two days, 0.125 mg for three days, and 0.0625 mg for four days. What is the total amount of medication taken? ______ Answer: 1.375 mg
Q6) Perform the indicated operation with decimals.
64.1- 0.009 = _____
Answer: 64.091
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Chapter 4: Ratio and Proportion
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25 Flashcards
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Sample Questions
Q1) Two tabs contain a total of 50 mg of a medication. How many mg of medication are present in 15 tabs? _______
Q2) Express the following dosage as a ratio. An injectable solution contains 500 mg in each 0.7 mL; _____
Q3) Solve for x. \(1^1 /_ 2\) :2 = x:3
x = _____
Q4) If one glass of milk contains 300 milligrams (mg) of calcium, how many mg of calcium are in \(3 ^ { 1 } / _2\) glasses of milk? ______
Q5) If there are 2.5 centimeters (cm) to an inch, if a client is 70 inches (in.) tall, how tall is the client in cm? ____
Q6) Solve for x. Round to the nearest tenth.
1:3.6 = x:170
x = _____
Q7) A nurse counts a client's pulse, which is regular for 15 seconds (sec) and gets 19 beats. If the nurse counts the pulse for 60 sec, how many beats should there be? _____
Q8) A client must take four tabs per day for 14 days. How many tablets should the pharmacy supply to fill this order? ______
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Chapter 5: Percentages
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20 Flashcards
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Sample Questions
Q1) A client was able to drink 85% of a 1,000 milliliter (mL) bottle of an x-ray prep. How many mL did the client drink? _____
Q2) Change the following percentage to a ratio. \(16 \frac { 2 } { 3 } \%\) = _____
Q3) Change the following percentage to a ratio and its decimal equivalent. 45% = _____; _____
Q4) Change the following percentage to a ratio. 0.4% = _____
Q5) Convert 42.5% to decimal form. _____
Q6) A client consumed 30% of a bowl of broth. The bowl held 360 mL. How many mL of the broth did the client consume? _____
Q7) Change the following percentage to a fraction. Reduce to lowest terms. 37.5% = _____
Q8) A client drank 3 ounces (oz) of a glass of apple juice. This was 75% of the full amount. What was the full amount of apple juice? _____
Q9) A client has a 2,500 mL bag of irrigation solution hanging. 750 mL of the solution have infused. What percent of the irrigation solution has infused? _____
Q10) Find the following percentage. 16% of 79 = _____
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Chapter 6: Metric System
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Sample Questions
Q1) Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly.
8.0 L
Q2) Directions: Write the equivalent indicated. 8.3 L = _____ mL
Q3) Directions: Write the equivalent indicated. 1.57 kg = _____ g
Q4) Three and one half kilograms:
A) 3.5 kg
B) 3.05 kg
C) \(3^1 / _2\)kg
D) 3.5 kg.
Q5) Directions: Write the equivalent indicated. 21 L = _________ mL
Q6) Trailing zeros should be placed on quantities to avoid misinterpretation of a value. A)True
B)False
Q7) Directions: Write the equivalent indicated. 25.5 mcg = _______ mg
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Chapter 7: Apothecary and Household Systems
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33 Verified Questions
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Sample Questions
Q1) Directions: Express the following value correctly.
20 MEQ
Q2) Directions: Write the equivalent indicated. 43.75 mL = ________ tsp
Q3) Directions: Express the following value correctly.
18.0 Tbs
Q4) Directions: Express the following value correctly.
2.75 OZ
Q5) Use of the apothecary system has been identified as a source of error in medication administration.
A)True B)False
Q6) Directions: Write the equivalent indicated. 10 1/3 tbs = _______ mL
Q7) Directions: Express the following value correctly.
5.5 Tsp
Q8) A capital "U" is an acceptable abbreviation for units. A)True B)False
Q9) Directions: Write the equivalent indicated. \(2^1 / _4\) cup = _____ mL Page 9
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Chapter 8: Converting Within and Between Systems
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Sample Questions
Q1) A client's intake and output was the following for 8 hours (8 AM to 4 PM): The client has intravenous fluid infusing at 125 mL/hr at 8 AM. The IV fluids are held for 1 hr from 2 PM to 3 PM while 100 mL of IV fluids infuse with an antibiotic.
The client consumed the following:
(Use the following equivalents: 1 cup = 8 oz, 1 glass = 6 oz)
\(\cdot\)2\( ^1/_4\) cups coffee \(\cdot\)3\( ^1/_2\)glasses juice
\(\cdot\)4\( ^3/_4\) glasses water
\(\cdot\)3 oz juice
The client voided five times: 325 mL, 450 mL, 500 mL, 300 mL, and 600 mL of urine. Calculate the I&O in milliliters.
a. Total intake _____________ mL;
b. Total output _______________ mL
Q2) A client had a physical a year ago and weighed 85 kg. The client tells you he lost 11 lb. What is the client's current weight in kg? _______ kg
Q3) Directions: Write the equivalent indicated.
0.005 g = _____ mg
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11
Chapter 9: Additional Conversions Useful in the Health Care Setting
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40 Flashcards
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Sample Questions
Q1) Directions: Convert as indicated. 16.2 in. = _____ cm
Q2) A client is to take a medication every 6 hr. The first dose is 6:30 AM. What time will the client take the next two doses?
a. Traditional time _________________;
b. International time ________________
Q3) An IV started at 3:10 AM is to be completed in 12 hr 30 min. Determine the completion time (traditional time). _____
Q4) Directions: Convert the following weight as indicated. Round weight to the nearest tenth. \(39^3 / _4\) lb = _____ kg
Q5) Directions: Convert the following temperature as indicated. 82.8° F = ______° C
Q6) In traditional time, 0518 is A) 5:18 AM. B) 5:18 PM.
Q7) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
Page 12
7.6 kg = _____ lb
Q8) A wound measures 4.2 cm in length. How many mm is this? _____ mm
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Chapter 10: Medication Administration
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Sample Questions
Q1) A nurse is administering a medication at the bedside. Which of the following actions should be the first priority?
A) Document the administration of the medication.
B) Establish the identity of the client.
C) Recheck the medication label.
D) Obtain orange juice for the client to take with the medication.
Q2) Technological advances have eliminated the occurrence of medication errors. A)True
B)False
Q3) Directions: For the following scenario, identify which of the "six rights" of medication administration has been violated.
A nurse enters a room to administer medications to a client. The order is for Prednisolone 2.5 mg p.o.b.i.d. The nurse administers prednisone 25 mg p.o.: _______________,
Q4) Directions: For the following scenario, identify which of the "six rights" of medication administration has been violated. A nurse charts medications that she administered at 10 AM on October 1st for 10 AM on October 2nd: _______________.
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Chapter 11: Understanding and Interpreting Medication
Orders
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Sample Questions
Q1) The abbreviation OD should not be used to indicate right eye in a medication order. A)True
B)False
Q2) "Administer Colace 100 mg by mouth three times a day." Which of the following correctly indicates the order?
A) Colace 100 mg p.o. t.i.d.
B) Colace 100 mg p.o.b.i.d.
C) Colace mg 100.0 p.o. q.i.d.
D) Colace MG 100 p.o. t.i.d.
Q3) To indicate a medication is to be administered every day, the recommended abbreviation is qd.
A)True
B)False
Q4) Directions: Correct the following medication order using the ISMP list of Error-Prone Abbreviations, Symbols, and Dose Designations. Ambien 5 mg po hs prn
Q5) Directions: Give the abbreviation for the following. Every four hours: _____
Page 15
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Chapter 12: Medication Administration Records and Medication Distribution Systems
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Sample Questions
Q1) What are the client's medication allergies? ______________
Q2) How many hours are between the scheduled times for K-Dur? _______________
Q3) If the client receives the Percocet at 10 PM on 5/2/2014, what date and time can the next dose be given? (State the time in traditional and international time.)
Q4) By what route will the heparin be administered? _______________
Q5) A client has a gastrostomy tube (GT) in place. The health care provider ordered the medication p.o. What action would be appropriate for the nurse to take?
A) Dilute the p.o. medication with water and administer by GT.
B) Administer the medication p.o. as ordered.
C) Clarify the order with the health care provider who wrote the order.
D) Clarify the order with the charge nurse.
Q6) The prescriber orders a medication q8h. The nurse enters the following times on the medication administration record (MAR): 12 AM-6 AM-12 PM-6 PM. What error has occurred?
Q7) K-Dur 10 mEq is ordered. What does mEq mean? _______________
Q9) What are the scheduled times for administering K-Dur? (State in traditional times.) Page 16
Q8) Which medication is ordered to be administered "as needed"? _______________
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Page 17
Chapter 13: Reading Medication Labels
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Sample Questions
Q1) If a medication label reads "Ambien (zolpidem tartrate) 5 mg tablets, Searle," the medication's generic name is A) Ambien.
B) Searle.
C) zolpidem tartrate.
D) tablets.
Q2) A medication label reads "Calan SR (verapamil hydrochloride) 240 mg sustained release caplets." The form is A) caplets.
B) sustained-release caplets.
C) 240 mg.
D) verapamil hydrochloride.
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18
Chapter 14: Dosage Calculation Using the Ratio and Proportion Method
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Sample Questions
Q1) Directions: Calculate the following dosage using the ratio and proportion method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Compazine 8 mg p.o. stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q2) Directions: Calculate the following dosage using the ratio and proportion method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Thorazine 25 mg p.o. t.i.d.
Available: Thorazine syrup labeled 10 mg per 5 mL
Q3) Directions: Calculate the following dosage using the ratio and proportion method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
Q4) Directions: Calculate the following dosage using the ratio and proportion method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
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Chapter 15: Dosage Calculation Using the Formula Method
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Sample Questions
Q1) Directions: Calculate the following dosage using the formula method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Calcijex 1.5 mcg IV daily on Mon., Wed., Fri.
Available: Calcijex 1 mcg per mL
Q2) Directions: Calculate the following dosage using the formula method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Amoxil 0.5 g p.o. q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q3) Directions: Calculate the following dosage using the formula method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Zofran 7 mg p.o.b.i.d.
Available: Zofran oral solution labeled 4 mg per 5 mL
Q4) Directions: Calculate the following dosage using the formula method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Thorazine 25 mg p.o. t.i.d.
Available: Thorazine syrup labeled 10 mg per 5 mL
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Chapter 16: Dosage Calculation Using the Dimensional Analysis Method
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Sample Questions
Q1) Directions: Calculate the following dosage using the dimensional analysis method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
Q2) Directions: Calculate the following dosage using the dimensional analysis method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Compazine 8 mg p.o. stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q3) Directions: Calculate the following dosage using the dimensional analysis method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Zofran 7 mg p.o.b.i.d.
Available: Zofran oral solution labeled 4 mg per 5 mL
Q4) Directions: Calculate the following dosage using the dimensional analysis method. Round mL answers to the nearest tenth unless otherwise indicated.
Order: Calcijex 1.5 mcg IV daily on Mon., Wed., Fri.
Available: Calcijex 1 mcg per mL
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Chapter 17: Oral Medications
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Sample Questions
Q1) Directions: Calculate the following dosage. Use labels where provided. Round oral liquids to the nearest tenth as indicated.
Order: Diazepam 4 mg via nasogastric tube t.i.d.
Available: Diazepam oral solution 5 mg per 5 mL
a. How many milliliters should the client receive per dosage? _____ mL
b. How many milligrams will the client receive per day? _____ mg
Q2) Directions: Complete with the correct word(s) or number.
Enteric-coated tablets and time-release tablets should never be _______________.
Q3) Directions: Complete with the correct word(s) or number.
The nurse should question and check any calculation that indicates you should administer more than ________ tablets or capsules to achieve a single dose.
Q4) Directions: Complete with the correct word(s) or number.
An elongated tablet for easy swallowing is referred to as a _______________.
Q5) Directions: Complete with the correct word(s) or number.
Sublingual tablets must never be _______________ but placed _______________ the tongue.
Q6) Directions: Complete with the correct word(s) or number.
The most common form of oral medication is the __________.
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Chapter 18: Parenteral Medications
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Sample Questions
Q1) Directions: Complete the following statements with the correct word(s) or number(s). The term used for injectable medications is _______________.
Q2) If the dose calculated is 0.78 mL, and a 1-mL syringe is used, how many milliliters will the nurse administer?
A) 0.75 mL
B) 0.78 mL
C) 0.8 mL
D) 0.85 mL
Q3) Directions: Complete the following statements with the correct word(s) or number(s).
The calibrations on a syringe that indicate the capacity can be found on the _______________.
Q4) Directions: Complete the following statements with the correct word(s) or number(s).
If a nurse calculates a dosage of 3.39 mL of medication, which size syringe should the nurse select? _____ What would be the nearest measurable dose on the syringe?
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Chapter 19: Reconstitution of Solutions
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Sample Questions
Q1) Directions: Prepare the following strength solutions. Describe your calculations. 1/4 strength Ensure 8 oz p.o. q4h for 24 hours
Q2) Directions: Indicate how you would prepare each of the following using full-strength hydrogen peroxide (solute) and normal saline (solvent). 0.24 L of 1/3 strength for wound care
Q3) Directions: Prepare the following strength solutions. Describe your calculations. 800 mL of 3/4 strength Sustacal via gastrostomy over 6 hours
Q4) Directions: Prepare the following strength solutions. Describe your calculations. 360 mL of 1/4 strength Ensure percutaneous endoscopic (PEG) tube over 4 hours
Q5) Directions: Prepare the following strength solutions. Describe your calculations. Prepare irrigant 250 mL 1/2 strength solution: ______________________________
Q6) Directions: Indicate how you would prepare each of the following using full-strength hydrogen peroxide (solute) and normal saline (solvent). 8 oz of 1/2 strength for wound care
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24
Chapter 20: Insulin
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Sample Questions
Q1) U-100 on the label of an insulin vial me ______________________________.
Q2) What is the difference between the calibration of units on the 1-mL insulin syringe and on the Lo-Dose syringe? ______________________________
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Chapter 21: Intravenous Solutions and Equipment
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Sample Questions
Q1) The IV line that can be used to administer medications and solutions and can be connected to a port on the main infusion is called _______________.
Q2) List the components and percentage strengths of the following IV solutions.
a. D5 \(^1 / _4\) S
b. D5NS 10 mEq KCl
c. D5RL
Q3) 250 mL D5NS _______ g dextrose ________ g NaCl
Q4) 5 L D10W dextrose: _______________
Q5) In IV fluid abbreviations, D5NS identifies what IV fluid? _______________
Q6) Directions: Interpret the following IV orders. 1,000 mL (1 L) of L/R q8h
Q7) _______________ devices allow a client to self-administer pain medication.
Q8) An IV pump is an example of an ___________ infusion device.
Q9) 0.5 L D \(5^1 / _4\) NS ________ g dextrose ________ g NaCl
Q10) The name for the main infusion administration set is _______________.
Q11) Directions: Interpret the following IV orders. 1,000 mL (1 L) D5W to infuse at a rate of 100 mL per hour
Q12) 500 mL \(^1 /_ 2\) NS sodium chloride (NaCl): _____ Page 26
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Chapter 22: Intravenous Calculations
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Sample Questions
Q1) Order: Cardizem 0.25 mg/kg IV bolus. Infuse over 2 min. Client weighs 50 kg.
Available: Cardizem 25 mg (5 mg/mL)
a. How many milligrams should the client receive? _____ mg
b. How many milliliters will you give? _____ mL
c. How many milliliters will you infuse per minute? _____ mL/min
Q2) 250 mL 0.9% NS at 30 mL/hr
a. Determine the infusion time: _____
b. The IV was started at 7:00 PM. When will the infusion be complete? _____
Q3) Total parenteral nutrition (TPN) solution of 1,000 mL at 30 mL/hr
Determine the infusion time: _____
Q4) Order: Digoxin 0.25 mg IV push. Infuse slowly over 5 min.
Available: Digoxin 0.5 mg/2 mL
How many milliliters should be infused per minute? _____
Q5) Directions: Determine the following in drops per minute using the drop factor provided.
Lactated Ringer solution is infusing at 45 microgtt/min. The drop factor is 60 gtt/mL. How much fluid volume will the client receive in 5 hr? _____
Q6) The type of administration set that will be selected for an IVPB solution is
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Chapter 23: Heparin Calculations
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Sample Questions
Q1) Order: Heparin 20,000 units in 500 mL D5W to infuse at 12 mL/hr. Calculate the hourly heparin dosage. ___________________ units/hr
Q2) A client weighs 110 lb. The hospital protocol is 18 units/kg/hr. How many units per hour will the client receive? ___________________
Q3) Order: 45,000 units of heparin in 1,000 mL D5 \(^1 / _2\) /2 NS at 25 mL/hr units/hr = _____
Q4) A client weighs 158.4 lb. Determine the bolus dose of heparin, the initial infusion rate, and then adjust the hourly infusion rate based on the APTT results. APTT is reported as 88. The IV pump is calibrated to deliver in tenths of an mL/hr.
Q5) Order: Infuse heparin at 2,000 units/hr IV from a solution containing 20,000 units of heparin in 500 mL D5W. How many milliliters will infuse per hour? _____ mL
Q6) Order: 40 units/kg/hr heparin IV. The client weighs 116 lb. How many units should the client receive per hour? _____
Q7) Order: 40 units/kg/hr heparin IV. The client weighs 50 kg. How many units should the client receive per hour? _____
Q8) Order: 50,000 units of heparin in 1 L D5 0.9% NS to infuse at 40 mL/hr units/hr = _____
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Chapter 24: Critical Care Calculations
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Sample Questions
Q1) Nitroglycerine has been ordered to titrate at 10 mcg/min to 30 mcg/min, and the rate should be increased by 5 mcg/min every 3-5 min for chest pain. The solution contains 50 mg nitroglycerin in 250 mL D5W. Develop a titration table in 5 mcg increments. The pump delivers in tenths of a milliliter.
Q2) Order: Dobutamine 2.5 mcg/kg/min for a client who weighs 193 lb
Available: Dobutamine 250 mg in 250 mL D5W
a. What is the client's weight in kilograms? _____ (to the nearest tenth)
b. Calculate the rate in mL/hr required to infuse 2 mcg/kg/min: _____
Q3) Lidocaine to infuse at 3 mg/min. The solution available is 2 g of lidocaine in 500 mL D5W. Determine the IV flow rate. ____
Q4) A client is receiving dopamine 800 mg in 500 mL D5W infusing at a rate of 30 mL/hr.
a. mg/hr: _____
b. mcg/min: _____
Q5) A client is receiving procainamide 1 g in 500 mL D5W at 120 mL/hr.
a. mg/hr: _____
b. mg/min: _____
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Chapter 25: Pediatric and Adult Dosage Calculation Based on Weight
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Sample Questions
Q1) Directions: Using the West nomogram or formula when indicated, calculate the following dosages. Express answer to the nearest tenth. The recommended dosage of acyclovir is 250 mg/m<sup>2</sup>. What will be the dosage for a child with a BSA of 0.27 m<sup>2</sup>? _____
Q2) Order: Epinephrine 0.25 mg IV stat
Available: Epinephrine 0.1 mg/mL
How many milliliters will you prepare to administer? _____ mL
Q3) Directions: Round dosage and weight to the nearest tenth as indicated. Use labels where provided.
The recommended dosage of Ticar for an adult with a complicated urinary tract infection is 150 to 200 mg/kg/day IV in divided dosages every 4 or 6 hrs. The adult weighs 194 lb.
a. What is the 24-hr dosage range for the 194-lb adult in milligrams? _____
b. What is the dosage range in grams? _____
c. The prescriber ordered 4 g IV q6h. Is the dosage ordered safe? _____ Explain:
Q4) 170 cm and 50 kg: _____ m<sup>2</sup>
Q5) 80 cm and 11 kg: _____ m<sup>2</sup>
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