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Nursing Math Exam Review - 590 Verified Questions

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Nursing Math Exam Review

Course Introduction

Nursing Math focuses on the essential mathematical concepts and calculations required in the nursing profession. This course covers foundational arithmetic, fractions, ratios, and percentages as they relate to nursing practices, and emphasizes dosage calculations, IV flow rates, and the safe administration of medications. Students will learn how to accurately interpret doctor's orders, convert between measurement systems, and apply critical thinking skills to solve real-world clinical math problems. Through practical examples and applied exercises, the course aims to build confidence and competence in performing math-related nursing tasks to ensure patient safety and effective care delivery.

Recommended Textbook

Calculate with Confidence 6th Edition by Morris

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25 Chapters

590 Verified Questions

590 Flashcards

Source URL: https://quizplus.com/study-set/3536

Page 2

Chapter 1: Roman Numerals

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11 Verified Questions

11 Flashcards

Source URL: https://quizplus.com/quiz/70226

Sample Questions

Q1) Perform the indicated operation and record the result in lowercase Roman numerals.

3 * 10 = _____

Answer: xxx

Q2) Write the following Arabic number as a lowercase Roman numeral.

21 = _____

Answer: xxi

Q3) Write the following Arabic number as a lowercase Roman numeral.

11 1/2 = _____

Answer: xiss

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.

30 - 6 = _____

Answer: xxiv

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Page 3

Chapter 2: Fractions

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42 Verified Questions

42 Flashcards

Source URL: https://quizplus.com/quiz/70227

Sample Questions

Q1) Change the following mixed number to an improper fraction. 6 7/10 = _____

Answer: 67/10

Q2) A client drank 2/3 of a 12 ounce (oz)can of seltzer water.How many ounces of seltzer water did the client drink? ______

Answer: 8 oz

Q3) Change the following improper fraction to a whole or mixed number. 1,500/100 = _____

Answer: 15

Q4) Perform the indicated operation and reduce to lowest terms. 3/8 - 1/3 = _____

Answer: 1/24

Q5) Perform the indicated operation with fractions.Reduce to lowest terms as indicated. 6 10/12 * 15/3 = _____

Answer: 34 1/6

Q6) Reduce the following fraction to lowest terms. 39/65 = _____

Answer: 3/5

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Chapter 3: Decimals

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35 Verified Questions

35 Flashcards

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Sample Questions

Q1) Perform the indicated operation with decimals. 64.1 - 0.009 = _____

Answer: 64.091

Q2) Change the following to a decimal. 1.25% = _____

Answer: 0.0125

Q3) Identify the decimal with the largest value in the following set.

0.7,0.67,0.86: _____

Answer: 0.86

Q4) Perform the indicated operation with decimals. 9.123 - 6.055 = _____

Answer: 3.068

Q5) A client is brought into the emergency department with a body temperature of 95.2° F.If the normal body temperature is 98.6° F,how far below normal was the client's temperature? _____

Answer: 3.4° F

Q6) Change the following decimal to a fraction.Reduce to lowest terms if indicated. 0.0001 = _____

Answer: 1/10,000

Page 5

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Chapter 4: Ratio and Proportion

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25 Verified Questions

25 Flashcards

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Sample Questions

Q1) Solve for x.

42: 7 = 48: x

x = ______

Q2) Express the following dosage as a ratio. An injectable solution contains 500 mg in each 0.7 mL: _____

Q3) Solve for x in the following.

11:121 = 3:x

x = _____

Q4) Solve for x.Round to the nearest tenth.

1:3.6 = x:170

x = _____

Q5) 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? _____

Q6) 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? ____

Q7) If one glass of milk contains 300 milligrams (mg)of calcium,how many mg of calcium are in 3 1/2 glasses of milk? ______

Q8) Express the following dosage as a ratio. A capsule contains 450 mg of medication: _____

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Chapter 5: Percentages

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20 Verified Questions

20 Flashcards

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Sample Questions

Q1) A client consumed 30% of a bowl of broth.The bowl held 360 mL.How many mL of the broth did the client consume?

Q2) A client who weighed 210 pounds (lb)lost 30 lb.What was the percent of decrease in the client's weight? (State answer to the nearest whole percent. )

Q3) Change the following percentage to a ratio and its decimal equivalent. 8% = _____;_____

Q4) A client is responsible for 30% of his doctor bills due to insurance.The client sees a specialist and the bill is $240.00.How much will the client be responsible for?

Q5) 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?

Q6) Convert 84.75% to decimal form.

Q7) Following exercise,a client's pulse rate increased from 80 to 95.What is the percent of increase in the client's pulse rate? (State answer to the nearest tenth. )

Q8) 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?

Q9) Convert 2.96 to a percent.

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Chapter 6: Metric System

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41 Verified Questions

41 Flashcards

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Sample Questions

Q1) Directions: Write the equivalent indicated. 0.008 L = _______ mL

Q2) Directions: Write the equivalent indicated. 20 mg = ________ g

Q3) Directions: Write the equivalent indicated. 350,000 mcg = ________ mg

Q4) Trailing zeros should be placed on quantities to avoid misinterpretation of a value.

A)True

B)False

Q5) Directions: Write the equivalent indicated. 25.6 mg = _____ g

Q6) Directions: Write the equivalent indicated. 3,550 mL = _____ L

Q7) Directions: Write the equivalent indicated. 1 mg = _____ g

Q8) Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly.

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Chapter 7: Apothecary and Household Systems

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31 Verified Questions

31 Flashcards

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Sample Questions

Q1) Milliequivalent is a unit used to measure the ionic activity of a medication.

A)True B)False

Q2) The household system expresses values using roman numerals and Arabic numbers.

A)True B)False

Q3) Directions: Write the abbreviation for the term. drop: _____

Q4) Directions: Write the equivalent indicated. 30 mL = _____ oz

Q5) Directions: Write the equivalent indicated. 16 T = _____ mL

Q6) Directions: Write the equivalent indicated. 277.5 mL = _________ oz

Q7) Directions: Write the equivalent indicated. 195 mL = ________ oz

Page 9

Q8) Directions: Write the equivalent indicated. 15 mL = _____ oz

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Chapter 8: Converting Within and Between Systems

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25 Verified Questions

25 Flashcards

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Sample Questions

Q1) Directions: Write the equivalent indicated. 2,575 mL = _______ L

Q2) Directions: Write the equivalent indicated. 59 lb = _____ kg (Round answer to the nearest tenth)

Q3) A client reports drinking 48 oz of water on a visit to the clinic.How many mL did the client drink? _________ mL

Q4) Directions: Write the equivalent indicated. 1,200 mL = ______ oz

Q5) 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

Q6) Directions: Write the equivalent indicated. 2 oz = _____ tbs

Q7) Directions: Write the equivalent indicated. 28.3 kg = _____ lb

Q8) Directions: Write the equivalent indicated. 1 mg = _____ g

Q9) A client drinks 4 3/4 cups (cup = 8 oz)of a liquid.How many mL did the client drink? ______ mL

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Chapter 9: Additional Conversions Useful in the Health Care Setting

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40 Verified Questions

40 Flashcards

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Sample Questions

Q1) Directions: Convert the following time to traditional time. 2146 ___________

Q2) A client's rash measures 5 cm * 4 cm.How much does this measure in inches? _____ in

Q3) A client is to take a medication every 6 hours.The first dose is 6:30 AM.What time will the client take the next two doses?

a.Traditional time _________________

b.International time ________________

Q4) Directions: Convert the following temperature as indicated. 212S1U1P1\(\circ\)S1S1P0 F = _____ S1U1P1\(\circ\)S1S1P0 C

Q5) Directions: Convert the following time to international time. 12:19 AM ________________

Q6) Directions: Write the equivalent indicated. 1 inch = _____ cm

Q7) Directions: Convert the following weight as indicated.Round weight to the nearest tenth.

20.8 kg = _____ lb

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Q8) Directions: Convert the following weight as indicated.Round weight to the nearest tenth.

43.5 kg = _____ lb

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Chapter 10: Medication Administration

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18 Verified Questions

18 Flashcards

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Sample Questions

Q1) Directions: Complete the following sentence with the correct word or number. When a verbal order is received by an authorized individual,the individual must do the following: (Write in the correct sequence. )_______,_______,_______.

Q2) Which of the following are considered unique identifiers in addition to the full name of a client when establishing the identification of a client? (Select all that apply. )

A)Room number of the client.

B)Client's medical record number.

C)Initials of the client's name.

D)Client's date of birth.

E)Name of the client's medication.

Q3) Medication errors can result in prolonged hospitalization for a client. _____

A)True B)False

Q4) Directions: Complete the following sentence with the correct word or number. The use of mixed case or enlarged,bolded lettering to differentiate medications with look-alike names is called __________ lettering.

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Chapter 11: Understanding and Interpreting Medication

Orders

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25 Verified Questions

25 Flashcards

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Sample Questions

Q1) Directions: Correct the following medication order using the ISMP list of Error-Prone Abbreviations,Symbols,and Dose Designations. Ambien 5 mg po hs prn

Q2) Directions: Correct the following medication order using the ISMP list of Error-Prone Abbreviations,Symbols,and Dose Designations. Robitussin 15 cc po q6h prn

Q3) Directions: Give the abbreviation for the following. Twice a day: _____

Q4) The use of a computer to order medications:

A)increases client confidentiality.

B)lessens the work of checking orders.

C)helps to identify errors in writing orders.

D)decreases the problems associated with illegible handwriting.

Q5) Directions: Give the abbreviation for the following. Immediately: _____

Q6) A p.r.n.order must indicate the minimum time between dosages such as q4h.

A)True

B)False

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Chapter 12: Medication Administration Records and Medication

Distribution Systems

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14 Verified Questions

14 Flashcards

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Sample Questions

Q1) What would be the appropriate interpretation for the following order? Demerol 50 mg IM stat? Administer:_______________

A)Demerol 50 mg IM when needed

B)Demerol 50 mg IM as desired

C)Demerol 50 mg IM on call to OR

D)Demerol 50 mg IM immediately

Q2) 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?

Q3) Directions: Refer to the portion of the MAR provided below to answer the question.

Q4) Directions: Refer to the portion of the MAR provided below to answer the question.

Q5) Directions: Refer to the portion of the MAR provided below to answer the question.

Q6) A medicine ordered q6h would be given how many times a day? _____

Page 16

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Chapter 13: Reading Medication Labels

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25 Verified Questions

25 Flashcards

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Sample Questions

Q1) 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.

Q2) 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.

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Chapter 14: Dosage Calculation Using the Ratio and Proportion Method

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15 Verified Questions

15 Flashcards

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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: Ampicillin 0.375 g IM q6h

Available: Ampicillin 250 mg per mL

Q2) Directions: Calculate the following dosage using the ratio and proportion 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

Q3) Directions: Calculate the following dosage using the ratio and proportion 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 ratio and proportion method.Round mL answers to the nearest tenth unless otherwise indicated.

Order: Clindamycin 0.6 g IV q12h

Available: Clindamycin 300 mg per 2 mL

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Page 18

Chapter 15: Dosage Calculation Using the Formula Method

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13 Verified Questions

13 Flashcards

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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: Zofran 7 mg p.o. b.i.d.

Available: Zofran oral solution labeled 4 mg per 5 mL

Q2) Directions: Calculate the following dosage using the formula method.Round mL answers to the nearest tenth unless otherwise indicated.

Order: Raloxifene HCl 60 mg p.o. b.i.d.

Available: Raloxifene HCl tablets labeled 60 mg per tablet

Q3) Directions: Calculate the following dosage using the formula method.Round mL answers to the nearest tenth unless otherwise indicated.

Order: Ampicillin 0.375 g IM q6h

Available: Ampicillin 250 mg per mL

Q4) 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

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19

Chapter 16: Dosage Calculation Using the Dimensional Analysis Method

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12 Verified Questions

12 Flashcards

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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: Thorazine 25 mg p.o.t.i.d.

Available: Thorazine syrup labeled 10 mg per 5 mL

Q2) 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

Q3) Directions: Calculate the following dosage using the dimensional analysis 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 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

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Chapter 17: Oral Medications

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35 Verified Questions

35 Flashcards

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Sample Questions

Q1) Directions: Complete with the correct word(s)or number. The most common form of oral medication is the __________.

Q2) 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

Q3) Directions: Complete with the correct word(s)or number. Sublingual tablets must never be _______________ but placed _______________ the tongue.

Q4) Directions: Calculate the following dosage.Use labels where provided.Round oral liquids to the nearest tenth as indicated.

Order: Ampicillin 1 g p.o.as an initial dosage and then 500 mg p.o.q.i.d.for 7 days thereafter

Available: Ampicillin capsules labeled 500 mg

a.How many capsules will you administer for the initial dosage? _____ cap(s)

b.What is the total number of capsules needed for the subsequent dosages for 7 days? _____ cap(s)

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Chapter 18: Parenteral Medications

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30 Verified Questions

30 Flashcards

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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) A 3-mL syringe is calibrated in which of the following increments?

A)0.01 mL

B)0.1 mL

C)0.2 mL

D)1 mL

Q3) 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

Q4) Directions: Calculate the dosages,use labels where provided,and shade in the dosages on the syringe where provided.Round answers to the nearest tenth unless otherwise indicated.

Order: Levothyroxine sodium 0.3 mg IV daily

Available: Levothyroxine sodium 200 mcg per 5 mL How many milliliters will you add to the IV? _____ mL

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Chapter 19: Reconstitution of Solutions

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15 Flashcards

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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: Prepare the following strength solutions.Describe your calculations. 360 mL of 1/4 strength Ensure percutaneous endoscopic (PEG)tube over 4 hours

Q3) Directions: Prepare the following strength solutions.Describe your calculations. 800 mL of 3/4 strength Sustacal via gastrostomy over 6 hours

Q4) 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

Q5) 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.

Q6) Directions: Prepare the following strength solutions.Describe your calculations. Prepare irrigant 250 mL 1/2 strength solution: ______________________________

Q7) Directions: Indicate how you would prepare each of the following using full-strength hydrogen peroxide (solute)and normal saline (solvent). 300 mL of 3/4 strength for skeletal pin care

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Chapter 20: Insulin

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10 Flashcards

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Sample Questions

Q1) Directions: Fill in the correct number or word(s). What is the difference between the calibration of units on the 1-mL insulin syringe and on the Lo-Dose syringe? ______________________________

Q2) Directions: Fill in the correct number or word(s). U-100 on the label of an insulin vial means: ______________________________.

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Chapter 21: Intravenous Solutions and Equipment

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15 Flashcards

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Sample Questions

Q1) Directions: Fill in the correct number or word(s)to answer the question. The name for the main infusion administration set is _______________.

Q2) Directions: Interpret the following IV orders.

1,000 mL (1 L)D5W to infuse at a rate of 100 mL per hour

Q3) Directions: Calculate the number of grams of NaCl and /or dextrose in the following solutions.

0.5 L D51/4NS ________ g dextrose ________ g NaCl

Q4) Directions: Calculate the number of grams of NaCl and /or dextrose in the following solutions.

250 mL D5NS _______ g dextrose ________ g NaCl

Q5) Directions: Fill in the correct number or word(s)to answer the question. In IV fluid abbreviations,D5NS identifies what IV fluid? _______________

Q6) Directions: Fill in the correct number or word(s)to answer the question. _______________ devices allow a client to self-administer pain medication.

Q7) Directions: Fill in the correct number or word(s)to answer the question. An IV pump is an example of an ___________ infusion device.

Q8) Directions: Calculate the number of grams of NaCl and /or dextrose in the following solutions.

500 mL 1/2 NS sodium chloride (NaCl): _____

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Chapter 22: Intravenous Calculations

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Sample Questions

Q1) Directions: Recalculate the IV flow rate.Determine the percentage of change and state the course of action.Assume that hospital policy permits recalculation of rates when rates are off schedule and clients are stable.

10% calcium chloride (10 mL)over 5 minutes IV push How many milliliters will be injected per minute? _____ mL

Q2) Directions: Recalculate the IV flow rate.Determine the percentage of change and state the course of action.Assume that hospital policy permits recalculation of rates when rates are off schedule and clients are stable. The type of administration set that will be selected for an IVPB solution is

Q3) Directions: Determine the following in drops per minute using the drop factor provided.

500 mL D5W is infusing at a rate of 25 macrogtt/min.The drop factor is 10 gtt/mL.How long will it take for the IV to infuse? (Express time in hours and minutes. ): _____

Q4) Directions: Determine the flow rate for the following IV being administered by infusion pump.

Zosyn 2 g in 100 mL D5W over 40 minutes: _____

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Chapter 23: Heparin Calculations

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Sample Questions

Q1) Directions: Calculate the following hourly dosage of heparin (units/hr).

Order: 40 units/kg/hr heparin IV.The client weighs 50 kg. How many units should the client receive per hour? _____

Q2) Directions: Calculate the following hourly dosage of heparin (units/hr).

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

Q3) Directions: Calculate the following hourly dosage of heparin (units/hr).

Order: 25,000 units heparin IV in 250 mL 0.9% NS to infuse at 20 units/kg/hr.The client weighs 165 lb.

a.Weight in kilograms: _____

b.How many units will the client receive per hour? _____

Q4) Directions: Calculate the following hourly dosage of heparin (units/hr).

Order: 10,000 units of heparin in 500 mL 0.9% NS to infuse at 120 mL/hr units/hr = _____

Q5) Directions: Calculate the following hourly dosage of heparin (units/hr).

Order: Infuse heparin at 800 units/hr IV from a solution containing 40,000 units in 1,000 mL D5W.

How many milliliters will infuse per hour? _____ mL

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Chapter 24: Critical Care Calculations

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8 Flashcards

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Sample Questions

Q1) Directions: Calculate the dosages as indicated.

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: _____

Q2) Directions: Calculate the dosages as indicated.

Dopamine 4 mcg/kg/min is ordered for a client who weighs 165 lb.The solution available is 400 mg of Dopamine in 250 mL D5W.To infuse by infusion pump that delivers in tenths of a milliliter.

a.mg/min: ____

b.mg/hr: _____

c.mL/hr: ____

Q3) Directions: Calculate the dosages as indicated.

A client is receiving procainamide 1 g in 500 mL D5W at 120 mL/hr.

a.mg/hr: _____

b.mg/min: _____

Q4) Directions: Calculate the dosages as indicated.

Lidocaine to infuse at 3 mg/min.The solution available is 2 g of lidocaine in 500 mL D5W.Determine the IV flow rate.

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Chapter 25: Pediatric and Adult Dosage Calculation Based on Weight

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31 Flashcards

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Sample Questions

Q1) Directions: Use the appropriate formula to determine BSA.Express answer to the nearest hundredth.

An adult who is 67 inches tall and weighs 175 lb: _____ m<sup>2</sup>

Q2) Directions: Use the appropriate formula to determine BSA.Express answer to the nearest hundredth.

A child who measures 26 inches and weighs 36 lb: _____ m<sup>2</sup>

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 hours.The adult weighs 194 lb.

a.What is the 24-hour 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) Directions: Using the West nomogram,determine the body surface area (BSA)for a child with the height and weight given. 80 cm and 11 kg: _____ m<sup>2</sup>

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