Nursing Math Study Guide
Questions
Course Introduction
Nursing Math is a foundational course designed to equip nursing students with essential mathematical skills required for safe and effective patient care. The course covers basic arithmetic, fractions, decimals, ratios, and percentages, focusing on their application in medication calculation, intravenous fluid administration, and dosage conversions. Emphasis is placed on problem-solving strategies to minimize errors in medication delivery, as well as interpreting doctors orders and charting accurate documentation. Through practical scenarios and hands-on exercises, students develop confidence and proficiency in performing mathematical calculations critical to nursing practice.
Recommended Textbook
Calculate with Confidence 7th Edition by Morris
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25 Chapters
610 Verified Questions
610 Flashcards
Source URL: https://quizplus.com/study-set/3538 Page 2
Chapter 1: Roman Numerals
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11 Verified Questions
11 Flashcards
Source URL: https://quizplus.com/quiz/70252
Sample Questions
Q1) Write the following Arabic number as a lowercase Roman numeral.
18 = _____ Answer: xviii
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.
6 * 3 = _____
Answer: xviii
Q4) Perform the indicated operation and record the result in lowercase Roman numerals.
10 + 2 = _____ Answer: xii
Q5) Perform the indicated operation and record the result in lowercase Roman numerals.
30 - 6 = _____ Answer: xxiv
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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 and reduce to lowest terms. 3/5 ÷ 5 = _____ Answer: 3/25
Q2) Change the following mixed number to an improper fraction. 29 2/3 = _____
Answer: 89/3
Q3) Change the following mixed number to an improper fraction. 9 1/9 = _____
Answer: 82/9
Q4) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 3 1/5 + 3 2/3 + 2 1/2 = _____
Answer: 12 11/30
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. 60/1200 = _____
Answer: 1/20
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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.
60 ÷ 0.012 = _____
Answer: 5,000
Q2) Identify the decimal with the largest value in the following set.
0.7, 0.67, 0.86: _____
Answer: 0.86
Q3) The health care provider has ordered a 2,200 calorie (cal) diet for a client. If the calories are spread evenly among three meals, how many calories will the client be allowed to have at each meal? (Round answer to the nearest whole calorie.) ______
Answer: 733 cal
Q4) Perform the indicated operation with decimals.
66.66 * 3.33 = _____
Answer: 221.9778
Q5) Perform the indicated operation with decimals.
64.1- 0.009 = _____
Answer: 64.091
Q6) A medication vial holds 7 milliliters (mL) of medication. If 1.4 mL are withdrawn from the vial, how much medication is left in the vial? ____
Answer: 5.6 mL
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 in the following.
500:3 = 350:x
x = _____
Q2) Solve for x in the following.
4/2.6 = 5/x
x = _____
Q3) If 5oz of a solution contains 4 1/2 oz of water, how many oz of water are in 20 oz of solution? _______
Q4) A client must take four tabs per day for 14 days. How many tablets should the pharmacy supply to fill this order? ______
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 one glass of milk contains 300 milligrams (mg) of calcium, how many mg of calcium are in \(3 ^ { 1 } / _2\) glasses of milk? ______
Q7) Solve for x.
2:9 = x:27
x = _____
Q8) Solve for x. \(\frac { 0.25 } { 2 } = \frac { x } { 1 / 2 }\) x = _____
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Chapter 5: Percentages
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20 Verified Questions
20 Flashcards
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Sample Questions
Q1) Find the following percentage. 16% of 79 = _____
Q2) Change the following percentage to a ratio and its decimal equivalent. 8% = _____; _____
Q3) 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? _____
Q4) A client has received 45% of a 500 mL bag of intravenous (IV) solution. How many mL of IV solution has the client received? _____
Q5) Convert 84.75% to decimal form. _____
Q6) 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.) _____
Q7) Find the following percentage. \(\frac { 9 } { 10 } \%\) of 2,000 = _____
Q8) Convert 42.5% to decimal form. _____
Q9) Find the following percentage. 8% of 32 = _____
Q10) 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.) _____
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Chapter 6: Metric System
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43 Verified Questions
43 Flashcards
Source URL: https://quizplus.com/quiz/70257
Sample Questions
Q1) Directions: Write the equivalent indicated.
3,120 mcg = _____ mg
Q2) Three and one half kilograms:
A) 3.5 kg
B) 3.05 kg
C) \(3^1 / _2\)kg
D) 3.5 kg.
Q3) Eight-tenths of a milliliter:
A) 8/10 ml
B) .8 mL
C) 0.8 mL
D) ml 0.8
Q4) Directions: Write the equivalent indicated. 48.5 mcg = _________ mg
Q5) Directions: Write the equivalent indicated. 25.6 mg = _____ g
Q6) Directions: Apply the guidelines relating to the use of leading and trailing zeros and express the following metric notations correctly.
8.0 L
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Chapter 7: Apothecary and Household Systems
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33 Verified Questions
33 Flashcards
Source URL: https://quizplus.com/quiz/70258
Sample Questions
Q1) Directions: Express the following value correctly.
20 MEQ
Q2) Directions: Express the following value correctly.
18.0 Tbs
Q3) The household system expresses values using roman numerals and Arabic numbers.
A)True
B)False
Q4) Directions: Write the equivalent indicated. 30 mL = _____ oz
Q5) Directions: Write the equivalent indicated. 10 tbs = _____ mL
Q6) Directions: Write the equivalent indicated. \(2 ^ { 3 } /_ 4\) C = ______ mL
Q7) The drop is a standardized unit of measure. A)True B)False
Q8) Use of the apothecary system has been identified as a source of error in medication administration.
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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27 Verified Questions
27 Flashcards
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Sample Questions
Q1) A client had the following during a 12-hour shift:
\(\bullet\)1.5 L of IV fluid
\(\bullet\)Breakfast \(1^3 / _4\) cup of coffee (cup = 8 oz)
2 oz apple juice
\(\bullet\)Lunch \(^1 / _2\) can ginger ale (1 can = 12 oz)
3 oz jello
\(\bullet\)Dinner 2 cups of tea (1 cup = 8 oz)
4 oz gelatin dessert
At the end of the shift, the Foley catheter is emptied of 1,650 mL of urine, and a surgical drain is emptied of 200 mL.
Calculate the I&O for the 12-hour shift in milliliters.
a. Intake ________________ mL;
b. Output _______________ mL
Q2) A client reports drinking 48 oz of water on a visit to the clinic. How many mL did the client drink? _________ mL
Q3) Directions: Write the equivalent indicated.
2 oz = _____ tbs
Q4) Directions: Write the equivalent indicated.
56 in. = ______ cm
Q5) Directions: Write the equivalent indicated. \(4^1 /_4\) qt = _____ 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) A client's rash measures 5 cm * 4 cm. How much does this measure in inches? _____ in.
Q2) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
14 lb, 4 oz = _____ kg
Q3) 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 ________________
Q4) Directions: Convert the following temperature as indicated.
82.8° F = ______° C
Q5) Directions: Convert the following temperature as indicated. 39° C = _____° F
Q6) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
20.8 kg = _____ lb
Page 12
Q7) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
63 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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18 Verified Questions
18 Flashcards
Source URL: https://quizplus.com/quiz/70261
Sample Questions
Q1) Directions: Complete the following sentence with the correct word or number. Administration of medications within 30 minutes of the scheduled time is referred to as the _____________.
Q2) Technological advances have eliminated the occurrence of medication errors.
A)True
B)False
Q3) A dropper is safe to use when administering medications when it is used for the specific medication it is calibrated to.
A)True
B)False
Q4) 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.: _______________,
Q5) Directions: Complete the following sentence with the correct word or number. The use of posters and brochures to encourage clients to use strategies to avoid medication errors is called the _____________.
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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: Give the abbreviation for the following. Twice a day: _____
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) Directions: Correct the following medication order using the ISMP list of Error-Prone Abbreviations, Symbols, and Dose Designations. Doxycycline 100 mg po bid pc
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: Correct the following medication order using the ISMP list of Error-Prone Abbreviations, Symbols, and Dose Designations. Robitussin 15 cc po q6h prn
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Chapter 12: Medication Administration Records and Medication Distribution Systems
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16 Verified Questions
16 Flashcards
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Sample Questions
Q1) What are the client's medication allergies? ______________
Q2) A medicine ordered q6h would be given how many times a day? _____
A) 4
B) 6
C) 8
D) 12
Q3) You work from 3 PM to 11 PM on May 3, 2017. Which standing medication will you administer to the client? _______________
Q4) 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?
Q5) 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.
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Q6) What are the scheduled times for administering K-Dur? (State in traditional times.)
Chapter 13: Reading Medication Labels
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25 Verified Questions
25 Flashcards
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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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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: Clindamycin 0.6 g IV q12h
Available: Clindamycin 300 mg per 2 mL
Q2) 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
Q3) 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
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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14 Verified Questions
14 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: Raloxifene HCl 60 mg p.o.b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
Q2) 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
Q3) Directions: Calculate the following dosage using the formula 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 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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Page 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: Amoxil 0.5 g p.o. q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q2) 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
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: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
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Page 20
Chapter 17: Oral Medications
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35 Verified Questions
35 Flashcards
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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: 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)
Q2) Directions: Complete with the correct word(s) or number.
The solid form of medication that contains granules that delays the release of the medication is referred to as a _______________.
Q3) Directions: Complete with the correct word(s) or number. An elongated tablet for easy swallowing is referred to as a _______________.
Q4) Directions: Complete with the correct word(s) or number. The most common form of oral medication is the __________.
Q5) 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.
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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) 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
Q3) Directions: Complete the following statements with the correct word(s) or number(s).
The route that is used for diagnostic purposes is called _______________.
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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17 Verified Questions
17 Flashcards
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Sample Questions
Q1) 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
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: 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
Q4) 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
Q5) Directions: Prepare the following strength solutions. Describe your calculations. 800 mL of 3/4 strength Sustacal via gastrostomy over 6 hours
Q6) Directions: Prepare the following strength solutions. Describe your calculations. Prepare irrigant 250 mL 1/2 strength solution: ______________________________
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23
Chapter 20: Insulin
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10 Verified Questions
10 Flashcards
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Sample Questions
Q1) What is the difference between the calibration of units on the 1-mL insulin syringe and on the Lo-Dose syringe? ______________________________
Q2) U-100 on the label of an insulin vial me ______________________________.
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Chapter 21: Intravenous Solutions and Equipment
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15 Flashcards
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Sample Questions
Q1) The name for the main infusion administration set is _______________.
Q2) An IV pump is an example of an ___________ infusion device.
Q3) Directions: Interpret the following IV orders.
1,000 mL (1 L) D5W to infuse at a rate of 100 mL per hour
Q4) 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 _______________.
Q5) 250 mL D5NS _______ g dextrose ________ g NaCl
Q6) In IV fluid abbreviations, D5NS identifies what IV fluid? _______________
Q7) 5 L D10W dextrose: _______________
Q8) Directions: Interpret the following IV orders.
1,000 mL (1 L) of L/R q8h
Q9) 0.5 L D \(5^1 / _4\) NS ________ g dextrose ________ g NaCl
Q10) List the components and percentage strengths of the following IV solutions.
a. D5
\(^1 / _4\) S
b. D5NS 10 mEq KCl
c. D5RL
Q11) 500 mL \(^1 /_ 2\) NS sodium chloride (NaCl): _____
Q12) _______________ devices allow a client to self-administer pain medication. Page 25
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Chapter 22: Intravenous Calculations
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37 Verified Questions
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Sample Questions
Q1) 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? _____
Q2) 2,000 mL of 0.9% NS were to infuse in 12 hr at 28 macrogtt/min. The drop factor is 10 gtt/mL. After 8 hr, 900 mL remain.
a. Recalculated rate: _____
b. Percentage of change: _____
c. Course of action: _____
Q3) 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? _____
Q4) Directions: Determine the following in drops per minute using the drop factor provided.
0.33% NS at 200 mL/hr
a. 10 gtt/mL _____
b. 15 gtt/mL _____
c. 20 gtt/mL _____
d. 60 gtt/mL _____
Q5) 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) Order: Heparin bolus dosage of 40 units/kg IV prior to initiating a continuous infusion. The client weighs 132 lb.
Available: Heparin 1,000 units per mL
a. Calculate the bolus dosage ______________________
b. Calculate the number of mL that will be needed to administer the dose.
Q3) 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.
Q4) A client weighs 220 lb. The hospital protocol for IV heparin drip is 14 units/kg/hr. How many units per hour should the client receive? _____
Q5) Order: 40 units/kg/hr heparin IV. The client weighs 116 lb. How many units should the client receive per hour? _____
Q6) Which solution of heparin is more concentrated: 1,000 units per mL or 10,000 units per mL? _____
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Page 28
Chapter 24: Critical Care Calculations
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Sample Questions
Q1) A client weighing 80 kg has an order for Intropin to infuse at 8 mcg/kg/min. The solution available is 800 mg Intropin in 500 mL D5W.
a. mcg/min: _____
b. mL/hr: _____
Q2) 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) Esmolol is ordered for a client. The solution available is 2.5 g in 250 mL D5W. The order is to infuse 32 mL/hr.
a. mg/hr: _____
b. mg/min: _____
Q4) 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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Sample Questions
Q1) 80 cm and 11 kg: _____ m<sup>2</sup>
Q2) Directions: Determine the normal dosage range to the nearest tenth. State your course of action.
A child weighs 10 kg and is to receive 0.5 g of nafcillin in 100 mL D5W q6h. The dosage range is 100 to 200 mg/kg/day. What is your course of action?
Q3) Child weighing 77 lb
Convert weight
Equivalent 2.2 lb= 1 kg
77 lb ÷ 2.2 = 35 kg
Q4) Directions: Round dosage and weight to the nearest tenth as indicated. Use labels where provided.
The recommended dosage of Mezlin for an adult with a serious infection is 200 to 300 mg/kg/day given in four to six divided dosages. The adult weighs 175 lb.
a. What is the adult's weight in kilograms? _____
b. What is the 24-hr dosage range for the 175-lb adult in milligrams? _____
c. What is the dosage range in grams? _____
Q5) An adult who is 67 inches tall and weighs 175 lb: _____ m<sup>2</sup>
Q6) 32 inches and 25 lb: _____ m<sup>2</sup>
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