Allied Health Mathematics
Solved Exam Questions
Course Introduction
Allied Health Mathematics is designed to equip students with the essential mathematical skills required in various allied health professions. The course focuses on practical applications such as dosage calculations, metric conversions, interpreting graphs, ratios and proportions, and basic statistical concepts relevant to healthcare settings. Emphasis is placed on problem-solving strategies and critical thinking to ensure accuracy and competence in tasks involving measurements, data analysis, and medication preparation. This foundational knowledge prepares students to meet the quantitative demands of clinical environments and supports their success in further health science studies.
Recommended Textbook
Calculate with Confidence 5th Edition by Deborah C. Gray Morris
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25 Chapters
409 Verified Questions
409 Flashcards
Source URL: https://quizplus.com/study-set/3657
Page 2
Chapter 1: Roman Numerals
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11 Verified Questions
11 Flashcards
Source URL: https://quizplus.com/quiz/72792
Sample Questions
Q1) Write the following Arabic number as a Roman numeral.(Use lowercase letters.)18 =
Answer: xviii
Q2) Write the following Arabic number as a roman numeral.(Use lowercase letters.)21 =
Answer: xxi
Q3) Perform the indicated operation and record the results in lowercase Roman numerals.6 \(\times\)3 = _____
Answer: xviii
Q4) Perform the indicated operation and record the results in lowercase Roman numerals.13 + 7 = _____
Answer: xx
Q5) Perform the indicated operation and record the result in Roman numerals.(Use lowercase letters.)10 + 2 = _____
Answer: xii
Q6) Perform the indicated operation and record the result in Roman numerals.(Use lowercase letters.) 7 \(\times\) 2 = _____
Answer: xiv
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Chapter 2: Fractions
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28 Verified Questions
28 Flashcards
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Sample Questions
Q1) Indicate which fraction is the largest.1/100,1/150,1/200: _____ Answer: 1/100
Q2) Perform the indicated operation and reduce to lowest terms.3/5 \(\times\) 5 = Answer: 3/25
Q3) Perform the indicated operation with fractions.Reduce to lowest terms as indicated.56 \(\times\) 9/20 = _____ Answer: 124 4/9
Q4) Perform the indicated operation with fractions.Reduce to lowest terms as indicated.6 10/12 \(\times\) 15/3 = _____ Answer: 34 1/6
Q5) Change the following mixed number to an improper fraction.12 1/8 = _____ Answer: 97/8
Q6) Perform the indicated operation and reduce to lowest terms.3/8 \(\times\) 1/3 = Answer: 1/24
Q7) Reduce the following fraction to lowest terms.105/135 = _____ Answer: 7/9
Page 4
Q8) Reduce the following fraction to lowest terms.34/102 = _____ Answer: 1/3
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Chapter 3: Decimals
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Sample Questions
Q1) Round off the following decimal to the nearest tenth. Answer: 28.7
Q2) Indicate the largest number in the following set. Answer: 1.25
Q3) Perform the indicated operation with decimals. Answer: 1.74
Q4) Change the following to a decimal.Carry division three places as indicated.Do not round off.1/64 = _____
Answer: 0.015
Q5) Change the following to a decimal.
Answer: 0.0125
Q6) Round off the following decimal to the nearest thousandth. Answer: 0.333
Q7) Round off the following decimal to the nearest thousandth. Answer: 0.625
Q8) Indicate the largest number in the following set. Answer: 0.75
5
Q9) Change the following to a decimal.Carry division three places as indicated.Do not round off.5/18 = _____
Answer: 0.277
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Chapter 4: Ratio and Proportion
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11 Verified Questions
11 Flashcards
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Sample Questions
Q1) Solve for x.Round to the nearest tenth.1:3.6 = x:170
x = _____
Q2) Solve for x in the following.4/2.6 = 5/x
x = _____
Q3) Express the following dosage as a ratio.An injectable solution contains 500 mg in each 0.7 mL: _____
Q4) Express the following dosage as a ratio.A capsule contains 450 mg of medication:
Q5) Solve for x in the following.11:121 = 3:x
x = _____
Q6) Solve for x in the following.500:3 = 350:x
x = _____
Q7) Solve for x.1/0.05 = x/0.1
x = _____
Q8) Solve for x.
2.2:1 = x:145
x = _____
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Chapter 5: Percentages
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8 Verified Questions
8 Flashcards
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Sample Questions
Q1) Change the following percentage to a fraction.Reduce to lowest terms.
Q2) Find the following percentage.16% of 79 = _____
Q3) Find the following percentage.8% of 32 = _____
Q4) Change the following percentage to a ratio and its decimal equivalent.45% = _____; _____
Q5) Change the following percentage to a ratio and its decimal equivalent.8% = _____;
Q6) Change the following percentage to a fraction. Reduce to lowest terms. 37.5% = _____
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8
Chapter 6: Metric System
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17 Verified Questions
17 Flashcards
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Sample Questions
Q1) 5.2 kg = _____ g
Q2) 25.6 mg = _____ g
Q3) 1 mg = _____ g
Q4) Complete the following sentence with the correct word(s).The units of the metric system are as follows: ____________________ (length),____________________ (volume),and ____________________ (weight).
Q5) 450 mL = _____ L
Q6) 3,550 mL = _____ L
Q7) 1.57 kg = _____ g
Q8) 54.6 g = _____ kg
Q9) 7.45 mL = _____ L
Q10) 1 kg = _____ g
Q11) 8.3 L = _____ mL
Q12) 3,120 mcg = _____ mg
Q13) 0.075 mg = _____ mcg
Q14) 0.081 g = _____ mg Page 9
Q15) 1 L = _____ mL
Q16) 15 mg = _____ mcg
Q17) 26 mcg = _____ mg
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Page 10
Chapter 7: Apothecary and Household Systems
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18 Verified Questions
18 Flashcards
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Sample Questions
Q1) 5 t = _____ mL
Q2) teaspoon: _____
Q3) 255 mL = _____ oz
Q4) 15 mL = _____ oz
Q5) gr 4 1/4 = _____ mg
Q6) 60 mg = gr _____
Q7) 10 tbs = _____ mL
Q8) 750 mL = _____ pt
Q9) ounce: _____
Q10) 16 T = _____ mL
Q11) 1 oz is equivalent to:
A) 4 mL
B) 5 mL
C) 15 mL
D) 30 mL
Q12) 30 mL = _____ oz
Q13) 50 mL = _____ qt
11
Q14) gr 1/15 = _____ mg
Q15) drop: _____
Q16) 6 1/4 qt = _____ mL
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Page 12
Chapter 8: Converting Within and Between Systems
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15 Flashcards
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Sample Questions
Q1) 0.005 g = _____ mg
Q2) Calculate the client's intake in milliliters.Apple juice 2 ounces
Chicken broth 4 ounces
Gelatin dessert 3 ounces
Hot tea 5 ounces
Total mL = _____
Q3) 4,176 g = _____ kg
Q4) A client has an order for Maalox 30 mL p.o.at bedtime.How many tablespoons will the nurse instruct the client to take? _____ tablespoons
Q5) 59 lb = _____ kg (Round answer to the nearest tenth)
Q6) A client received 5.4 liters of IV fluid during a surgical procedure.How many mL of IV fluid did the client receive? _____ mL
Q7) 0.3 mg = _____ g
Q8) 1 mg = _____ g
Q9) gr 90 = _____ g
Q10) 28.2 kg = _____ lb
Q11) 630 mg = gr _____
Q12) 4 1/4 qt = _____ mL
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Page 14
Chapter 9: Additional Conversions Useful in the Health Care Setting
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30 Verified Questions
30 Flashcards
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Sample Questions
Q1) 39S1U1P1\(\circ\)S1S1P0 C = _____ S1U1P1\(\circ\)S1S1P0 F
Q2) 43.5 kg = _____ lb
Q3) 1 cm = _____ mm
Q4) 39 3/4 lb = _____ kg
Q5) In military time,4:08 PM is:
A) 0408 hours
B) 1508 hours
C) 1608 hours
D) 1708 hours
Q6) 27 cm = _____ in
Q7) 8 lb 12.2 oz = _____ kg
Q8) 7.6 kg = _____ lb
Q9) 14 lb 4 oz = _____ kg
Q10) 41 lb 2 oz = _____ kg
Q12) 134 lb = _____ kg Page 15
Q11) 102S1U1P1\(\circ\)S1S1P0 F = _____ S1U1P1\(\circ\)S1S1P0 C
Q13) 16.2 in = _____ cm
Q14) 9 lb 9 oz = _____ kg
Q15) An IV started at 0550 is to be completed in 5 hr 10 min.Determine the completion time (military time)._____
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Chapter 10: Medication Administration
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10 Flashcards
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Sample Questions
Q1) After administering a medication,the nurse should:
A) Pour the medications for the next administration time.
B) Document medication given prior to administering.
C) Order the next dosage needed from the pharmacy.
D) Document the time of administration.
Q2) The "six rights" of medication administration are the right:
A) Medication,dosage,route,time,client,documentation
B) Medication,solution,doctor,shift,time,documentation
C) Medication,order,signature,time,route,documentation
D) Medication,client,signature,time,hospital,documentation
Q3) Medication ________________ avoids errors and assists in obtaining accurate medication histories of a client at transition points (admission,transfer,discharge).
Q4) Technological advances have eliminated the occurrence of medication errors._____
A)True B)False
Q5) 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
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12 Verified Questions
12 Flashcards
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Sample Questions
Q1) Every four hours: _____
Q2) Every hour: _____
Q3) Twice a day: _____
Q4) "Administer Colace 100 mg by mouth three times a day" can be written on an order sheet as:
A) Colace 100 mg p.o.t.i.d.
B) Colace 100 mg p.o.
C)i.d.
D) Colace mg 100.0 p.o.q.i.d.
E) Colace MG 100 p.o.t.i.d.
Q5) 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.
Q6) Verbal orders should be accepted only in _______________.
Q7) A p.r.n.order must indicate the minimum time between dosages,such as q4h._____
A)True
B)False
Q8) Immediately: _____ Page 18
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Page 19
Chapter 12: Medication Administration Records and Drug Distribution Systems
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15 Verified Questions
15 Flashcards
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Sample Questions
Q1) Identify the place on the MAR where the stat IV Lasix was charted._______________
Q2) How many times a day is Lasix administered? _______________
Q3) What are the client's medication allergies? ______________
Q4) You work from 3 PM to 11 PM on January 17,2009.Which standing medications will you administer to the client? _______________
Q5) What are the scheduled times for administering Colace? _______________
Q6) A medicine ordered q6h would be given how many times a day? _____
A) 4
B) 6
C) 8
D) 12
Q7) How many times in a 24-hour period will Colace be administered?
Q8) When is the next dose of Tylenol for pain available on 1/16/09 for the client if needed?
Page 20
Q9) If the digoxin was last administered on 1/16/09 at 9 AM,what is the next date and time it will be administered? _______________
Q10) Which medications are ordered to be administered "as necessary"?
Q11) K-Dur 20 mEq is ordered.What does mEq mean? _______________
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Chapter 13: Reading Medication Labels
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14 Verified Questions
14 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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12 Verified Questions
12 Flashcards
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Sample Questions
Q1) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
Q2) Order: Raloxifene HCl 60 mg p.o.
b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
Q3) Order: Amoxil 0.5 g p.o.q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q4) Order: Heparin 2,000 units subcut daily
Available: Heparin labeled 5,000 units per mL
Q5) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
Q6) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
Q7) Order: Zofran 7 mg p.o.
b.i.d.
Available: Zofran oral solution labeled 4 mg per 5 mL
Q8) Order: Clindamycin 0.6 g IV q12h
Available: Clindamycin 300 mg per 2 mL
Q9) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL Page 23
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Page 24
Chapter 15: Dosage Calculation Using the Formula Method
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12 Verified Questions
12 Flashcards
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Sample Questions
Q1) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q2) Order: Zofran 7 mg p.o.
b.i.d.
Available: Zofran oral solution labeled 4 mg per 5 mL
Q3) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
Q4) Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
Q5) Order: Raloxifene HCl 60 mg p.o. b.i.d.
Available: Raloxifene HCl tablets labeled 60 mg per tablet
Q6) Order: Amoxil 0.5 g p.o.q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q7) Order: Clindamycin 0.6 g IV q12h
Available: Clindamycin 300 mg per 2 mL
Q8) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
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Q9) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
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) Order: Heparin 2,000 units subcut daily
Available: Heparin labeled 5,000 units per mL
Q2) Order: Ampicillin 0.375 g IM q6h
Available: Ampicillin 250 mg per mL
Q3) Order: Ketorolac 16 mg IV q6h p.r.n.for pain
Available: Ketorolac 30 mg per mL
Q4) Order: Compazine 8 mg p.o.stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q5) Order: Calcijex 1.5 mcg IV daily on Mon.,Wed.,Fri.Available: Calcijex 1 mcg per mL
Q6) Order: Zofran 7 mg p.o.
b.i.d.
Available: Zofran oral solution labeled 4 mg per 5 mL
Q7) Order: Heparin 2,500 units subcut stat
Available: Heparin labeled 10,000 units per mL (Express answer in hundredths.)
Q8) Order: Thorazine 25 mg p.o.t.i.d.Available: Thorazine syrup labeled 10 mg per 5 mL
Q9) Order: Thorazine 15 mg IM stat
Available: Thorazine 25 mg per mL
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Chapter 17: Calculation of Oral Medications
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32 Verified Questions
32 Flashcards
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Sample Questions
Q1) 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) Order: Potassium chloride 40 mEq p.o.every day
Available: Potassium chloride 20 mEq per 15 mL
How many milliliters would the client receive? _____ mL
Q3) Order: Coreg 6.25 mg p.o.
a.How many tablets should the client receive per dosage? _____ tab(s)
b.How many milligrams will the client receive per day? _____ mg
b.i.d.
Available: Coreg tablets labeled 3.125 mg
Q4) Order: Pindolol 5 mg p.o.
a.How many tablets will the client need for the first week? _____ tab(s)
b.How many tablets will the client need for the second week? _____ tab(s)
b.i.d.for 1 week; then increase to 10 mg
b.i.d.the second week
Available: Pindolol tablets labeled 5 mg
Q5) An elongated tablet for easy swallowing is referred to as a _______________.
Q6) Enteric-coated tablets and time-release tablets should never be
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Chapter 18: Parenteral Medications
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29 Verified Questions
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Sample Questions
Q1) 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?
Q2) The term used for injectable medications is _______________.
Q3) The route that is used for diagnostic purposes is called _______________.
Q4) 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
Q5) Order: Heparin 45,000 units IV in 500 mL D5W
Available: Heparin labeled 10,000 units per mL
How many milliliters will you add to the IV? _____ mL
Q6) The calibrations on a syringe that indicate the capacity can be found on the _______________.
Q7) Order: Furosemide 15 mg IM every day
Available: Furosemide labeled 20 mg per 2 mL
How many milliliters will you administer? _____ mL
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Chapter 19: Reconstitution of Solutions
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Sample Questions
Q1) 1/4 strength Ensure 8 oz p.o.q4h for 24 hours
Q2) a.Total dosage of vial: _____
b.Type of diluents specified: _______________
c.How much diluent must be added to reconstitute the medication? _____
d.What will be the volume of the reconstituted solution? _____
e.Dosage strength of the reconstituted solution: _______________
Q3) Prepare irrigant 250 mL 1/2 strength solution:
Q4) 800 mL of 3/4 strength Sustacal via gastrostomy over 6 hours
Q5) 360 mL of 1/4 strength Ensure percutaneous endoscopic (PEG)tube over 4 hours
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Chapter 20: Insulin
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Sample Questions
Q1) U-100 on the label of an insulin vial means:
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) List the components and percentage strengths of the following IV solutions.
a.D5¼S
b.D5NS 10 mEq KCl
c.D5RL
Q2) 5 L D10W dextrose: _______________
Q3) The name for the main infusion administration set is _______________.
Q4) 500 mL 1/2 NS sodium chloride (NaCl): _____
Q5) 1,000 mL (1 L)of Lactated Ringer solution every 8 hours
Q6) In IV fluid abbreviations,D5NS identifies what IV fluid? _______________
Q7) An electronic infusion control device used to administer IV fluids is referred to as a _______________.
Q8) 1,000 mL (1 L)of 5% dextrose in water to infuse at a rate of 100 mL per hour
Q9) 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 _______________.
Q10) _______________ devices allow a client to self-administer pain medication.
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Chapter 22: Intravenous Calculations
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37 Flashcards
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Sample Questions
Q1) Order: Regular Humulin Insulin 8 units/hr IV
Available: 50 units of insulin in 150 mL 0.9% NS
What rate in mL/hr will infuse 8 units/hr? _____
Q2) 750 mL Ringer lactate at 80 mL/hr
a.Determine the infusion time: _____
b.The IV was started at 7:00 AM.When will the infusion be complete? _____
Q3) 100 mL D5 ½/2 NS at 40 mL/hr
a.Determine the infusion time: _____
b.The IV was started at noon.When will the infusion be complete? _____
Q4) 2,500 mL RL in 12 hr
a.10 gtt/mL _____
b.15 gtt/mL _____
c.20 gtt/mL _____
d.60 gtt/mL _____
Q5) Order: Regular Humulin insulin 10 units/hr IV
Available: 40 units of insulin in 100 mL 0.9% NS
What rate in mL/hr will infuse 10 units/hr? _____
Q6) D5 1/2 NS is infusing at 28 macrogtt/min.The drop factor is 10 gtt/mL.How much fluid volume will the client receive in 8 hours? _____
Q7) 500 mL of Intralipid in 6 hours: _____
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Chapter 23: Heparin Calculations
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Sample Questions
Q1) Order: 10,000 units of heparin in 500 mL 0.9% NS to infuse at 120 mL/hr units/hr = _____
Q2) 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? _____
Q3) Order: 30,000 units of heparin in 500 mL D5W to infuse at 15 mL/hr units/hr = _____
Q4) 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
Q5) A client weighs 165 lb.Order: Administer a bolus of heparin sodium IV.The hospital protocol is 80 units/kg.How many units will you administer? _____
Q6) 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? _____
Q7) Order: 25,000 units of heparin in 250 mL D5W to infuse at 8 mL/hr units/hr = _____
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) 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) A client is receiving procainamide 1 g in 500 mL D5W at 120 mL/hr
a.mg/hr: _____
b.mg/min: _____
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) 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: _____
Q5) 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: _____
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Chapter 25: Pediatric and Adult Dosage Calculation Based on Weight
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Sample Questions
Q1) An IV medication of 50 mcg in 200 mL is ordered to infuse over 2 hours.The normal dosage range is 1.5 to 3 mcg/kg/hr.The child weighs 5.7 kg.Determine the dosage range per hour.Determine whether the dosage ordered is within normal limits.State your course of action: ______________________________
Q2) An adolescent who measures 157.5 cm and weighs 59.1 kg: _____ m<sup>2</sup>
Q3) 22 inches and 10 lb: _____ m<sup>2</sup>
Q4) An adult who is 67 inches tall and weighs 175 lb: _____ m<sup>2</sup>
Q5) 170 cm and 50 kg: _____ m<sup>2</sup>
Q6) A child who measures 26 inches and weighs 36 lb: _____ m<sup>2</sup>
Q7) 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-hour dosage range for the 175-lb adult in milligrams? _____
c.What is the dosage range in grams? _____
Q8) The recommended dosage of Paraplatin for ovarian cancer is 360 mg/m<sup>2</sup>.The client's BSA is 1.67 m<sup>2</sup>.What dosage should the client receive? _____
Page 35
Q9) 80 cm and 11 kg: _____ m<sup>2</sup>
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