Allied Health Calculations
Test Questions
Course Introduction
Allied Health Calculations is designed to equip students with the mathematical skills essential for success in various allied health professions. The course covers fundamental concepts such as basic arithmetic, fractions, decimals, ratios, proportions, and the metric and household measurement systems, all within the context of healthcare. Students learn to perform accurate calculations for medication dosages, intravenous flow rates, and safe administration of drugs. Emphasis is placed on critical thinking, error prevention, and real-world application, ensuring future healthcare professionals are prepared to deliver safe and effective patient care.
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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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.
7 * 2 = _____
Answer: xiv
Q3) Perform the indicated operation and record the result in lowercase Roman numerals.
12 ÷ 2 = _____
Answer: vi
Q4) Perform the indicated operation and record the result in lowercase Roman numerals.
13 + 7 = _____
Answer: xx
Q5) Write the following Arabic number as a lowercase Roman numeral.
21 = _____
Answer: xxi
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Chapter 2: Fractions
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Sample Questions
Q1) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 1 2/4 + 3 1/3 = _____
Answer: 4 5/6
Q2) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 16 5/6 - 14 3/8 = ____ Answer: 2 11/24
Q3) The nurse is instructed to give a client 2/3 of a cup of solution. If 1 cup = 240 milliliters (mL), how many mL should the nurse administer? _____
Answer: 160 mL
Q4) Perform the indicated operation with fractions. Reduce to lowest terms as indicated. 1/5 + 1/2 + 1/4 = _____ Answer: 19/20
Q5) Reduce the following fraction to lowest terms. 60/1200 = _____ Answer: 1/20
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Chapter 3: Decimals
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35 Flashcards
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Sample Questions
Q1) Change the following to a decimal. 1.25% = _____
Answer: 0.0125
Q2) Change the following decimal to a fraction. Reduce to lowest terms if indicated. 7.025 = _____
Answer: 7 1/40
Q3) Change the following decimal to a fraction. Reduce to lowest terms if indicated. 0.006 = _____
Answer: 3/500
Q4) A client is brought into the emergency department with a body temperature of 95.2S1U1P1\(\circ\)S1S1P0F. If the normal body temperature is 98.6S1U1P1\(\circ\)S1S1P0 F, how far below normal was the client's temperature? _____ Answer: 3.4S1U1P1\(\circ\)S1S1P0 F
Q5) Change the following decimal to a fraction. Reduce to lowest terms if indicated. 0.0001 = _____
Answer: 1/10,000
Q6) A client weighed 165.4 pounds (lb) before getting ill. After a lengthy recovery the client weighed 148.6 lb. How much weight did the client lose? _____
Answer: 16.8 lb
Page 5
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Chapter 4: Ratio and Proportion
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Sample Questions
Q1) If 5oz of a solution contains 4 1/2 oz of water, how many oz of water are in 20 oz of solution? _______
Q2) 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? _____
Q3) Solve for x.
2:9 = x:27
x = _____
Q4) Solve for x. 16/40 = x/55
x = _____
Q5) Solve for x. 1/0.05 = x/0.1
x = _____
Q6) Express the following dosage as a ratio. An injectable solution contains 500 mg in each 0.7 mL; _____
Q7) The nurse is instructed to administer 500 mL of a solution every 8 hours (hrs). How many hrs will be needed to administer 1,500 mL of solution? _____
Q8) Solve for x. \(\frac { 0.25 } { 2 } = \frac { x } { 1 / 2 }\) x = _____
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Chapter 5: Percentages
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Sample Questions
Q1) Find the following percentage. 8% of 32 = _____
Q2) Change the following percentage to a fraction. Reduce to lowest terms. 37.5% = _____
Q3) Convert 2.96 to a percent. _____
Q4) Change the following percentage to a ratio and its decimal equivalent. 8% = _____; _____
Q5) Convert 42.5% to decimal form. _____
Q6) 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.) _____
Q7) 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? _____
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 consumed 30% of a bowl of broth. The bowl held 360 mL. How many mL of the broth did the client consume? _____
Q10) Convert 84.75% to decimal form. _____
Page 7
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Chapter 6: Metric System
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Sample Questions
Q1) Directions: Write the equivalent indicated.
25.6 mg = _____ g
Q2) Directions: Write the equivalent indicated.
5.2 kg = _____ g
Q3) Directions: Write the equivalent indicated. 3.5 g = _______ mg
Q4) Directions: Write the equivalent indicated. 1 kg = _____ g
Q5) Directions: Write the equivalent indicated.
7.45 mL = _____ L
Q6) Directions: Write the equivalent indicated.
873 mL = _________ L
Q7) Directions: Write the equivalent indicated. 6,724 g = _______ kg
Q8) Directions: Write the equivalent indicated. 1.57 kg = _____ g
Q9) Gram is the basic unit of weight in the metric system. A)True B)False
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Chapter 7: Apothecary and Household Systems
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Sample Questions
Q1) The household system (Select all that apply.)
A) is more accurate than the metric system.
B) expresses quantities using Arabic numbers and decimals.
C) is primarily used for dosages at home.
D) expresses quantities in fractions and Arabic numbers.
E) is preferred for medication administration.
F) has measures such as tbs and tsp.
Q2) Directions: Express the following value correctly.
17 U
Q3) The household system expresses values using roman numerals and Arabic numbers.
A)True
B)False
Q4) Directions: Express the following value correctly.
20 MEQ
Q5) Directions: Write the equivalent indicated. \(2 ^ { 3 } /_ 4\) C = ______ mL
Q6) Directions: Write the equivalent indicated.
16 T = _____ mL
Q7) Directions: Write the equivalent indicated.
5 t = _____ mL
Q8) 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 needs to drink \(1^1 / _2\) oz of an elixir per day. How many tsp would this be equivalent to? ________ tsp
Q2) A client received 5.4 liters of IV fluid during a surgical procedure. How many mL of IV fluid did the client receive? _____ mL
Q3) Directions: Write the equivalent indicated. 4,176 g = _____ kg
Q4) Directions: Write the equivalent indicated. 125 mL = ________ tsp
Q5) Directions: Write the equivalent indicated. 2,575 mL = _______ L
Q6) A client's intake was the following: \(^3 /_ 4\) cup of coffee (1 cup = 8 oz)
1 can of ginger ale (1 can = 12 oz) \(^1 /_ 2\) glass of cranberry juice (1 glass = 6 oz) How many mL will you record on the intake and output (I&O) sheet? _____ mL
Q7) Directions: Write the equivalent indicated. 1 mg = _____ g
Q8) Directions: Write the equivalent indicated. \(11 ^ { 1 } / _2\) oz = ________ mL
Q9) 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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Sample Questions
Q1) Directions: Write the equivalent indicated.
1 cm = _____ mm
Q2) An IV started at 0550 is to be completed in 5 hr 10 min. Determine the completion time (international time). _____
Q3) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
134 lb = _____ kg
Q4) Directions: Convert as indicated. 16.2 in. = _____ cm
Q5) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
63 kg = _____ lb
Q6) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
43.5 kg = _____ lb
Q7) Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
12
8 lb, 12.2 oz = _____ kg
Q8) Directions: Convert the following temperature as indicated. Store medication within a temperature range of 36° F and 41°F. ______° C
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Chapter 10: Medication Administration
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Sample Questions
Q1) Medication errors (Select all that apply.)
A) are preventable.
B) are less prevalent in children and elderly.
C) cause an increase in health care cost.
D) can occur when the six rights of medication administration are not adhered to.
E) can result in tragic outcomes including death.
F) occur in the hospital setting only.
Q2) Medication errors can result in prolonged hospitalization for a client.
A)True
B)False
Q3) 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.) _______, _______, _______.
Q4) The "six rights" of medication administration are
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
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Chapter 11: Understanding and Interpreting Medication
Orders
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Sample Questions
Q1) The nurse is responsible for determining the times for a medication ordered t.i.d. at an institution.
A)True
B)False
Q2) A p.r.n. order must indicate the minimum time between dosages such as q4h.
A)True
B)False
Q3) 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.
Q4) Directions: For the following medication order indicate what component of the order is missing.
Trental 400 mg po.
Q5) To indicate a medication is to be administered every day, the recommended abbreviation is qd.
A)True B)False
Q6) Verbal orders should be accepted only in _______________. Page 15
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Page 16
Chapter 12: Medication Administration Records and Medication Distribution Systems
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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) 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.)
Q3) Which medication is ordered to be administered "as needed"? _______________
Q4) K-Dur 10 mEq is ordered. What does mEq mean? _______________
Q5) What are the scheduled times for administering K-Dur? (State in traditional times.)
Q6) What dose of heparin is to be administered? _______________
Q7) You work from 3 PM to 11 PM on May 3, 2017. Which standing medication will you administer to the client? _______________
Q9) How many hours are between the scheduled times for K-Dur? _______________ Page 17
Q8) How many times in a 24-hour period will K-Dur be administered?
Q10) What are the client's medication allergies? ______________
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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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19
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: Amoxil 0.5 g p.o. q6h
Available: Amoxil capsules labeled 250 mg per capsule
Q2) 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
Q3) 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
Q4) 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
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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: 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: Compazine 8 mg p.o. stat
Available: Compazine syrup labeled 5 mg per 5 mL
Q3) 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
Q4) 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
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Page 21
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: Calcijex 1.5 mcg IV daily on Mon., Wed., Fri.
Available: Calcijex 1 mcg 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: 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: Amoxil 0.5 g p.o. q6h
Available: Amoxil capsules labeled 250 mg per capsule
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Chapter 17: Oral Medications
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Sample Questions
Q1) Directions: Complete with the correct word(s) or number. An elongated tablet for easy swallowing is referred to as a _______________.
Q2) Directions: Complete with the correct word(s) or number.
Sublingual tablets must never be _______________ but placed _______________ the tongue.
Q3) Directions: Complete with the correct word(s) or number. The most common form of oral medication is the __________.
Q4) 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
Q5) 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 _______________.
Q6) Directions: Complete with the correct word(s) or number.
Enteric-coated tablets and time-release tablets should never be _______________.
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Chapter 18: Parenteral Medications
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Sample Questions
Q1) 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
Q2) 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 _______________.
Q3) 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
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?
24
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Chapter 19: Reconstitution of Solutions
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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: Prepare the following strength solutions. Describe your calculations. Prepare irrigant 250 mL 1/2 strength solution: ______________________________
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. 1/4 strength Ensure 8 oz p.o. q4h for 24 hours
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25
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) 500 mL \(^1 /_ 2\) NS sodium chloride (NaCl): _____
Q2) 5 L D10W dextrose: _______________
Q3) List the components and percentage strengths of the following IV solutions.
a. D5
\(^1 / _4\) S
b. D5NS 10 mEq KCl
c. D5RL
Q4) 250 mL D5NS _______ g dextrose ________ g NaCl
Q5) 0.5 L D \(5^1 / _4\) NS ________ g dextrose ________ g NaCl
Q6) Directions: Interpret the following IV orders.
1,000 mL (1 L) of L/R q8h
Q7) In IV fluid abbreviations, D5NS identifies what IV fluid? _______________
Q8) Directions: Interpret the following IV orders.
1,000 mL (1 L) D5W to infuse at a rate of 100 mL per hour
Q9) The name for the main infusion administration set is _______________.
Q10) _______________ devices allow a client to self-administer pain medication.
Q12) An IV pump is an example of an ___________ infusion device. Page 27
Q11) 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 _______________.
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Chapter 22: Intravenous Calculations
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Sample Questions
Q1) Order: Integrilin 180 mcg/kg IV bolus initially. Infuse over 2 min. Client weighs 154 lb. Available: 2 mg/mL
a. How many kilograms does client weigh? _____ kg
b. How many milligrams should the client receive? _____ mg
c. How many milliliters will you infuse per minute? _____ mL/min
Q2) 100 mL D5 \(^1 / _2\) /2NS at 40 mL/hr
a. Determine the infusion time: _____
b. The IV was started at noon. When will the infusion be complete? _____
Q3) 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? _____
Q4) 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? _____
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? _____
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Chapter 23: Heparin Calculations
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Sample Questions
Q1) Order: 45,000 units of heparin in 1,000 mL D5 \(^1 / _2\) /2 NS at 25 mL/hr units/hr = _____
Q2) 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) Order: 50,000 units of heparin in 1 L D5 0.9% NS to infuse at 40 mL/hr units/hr = _____
Q4) Which solution of heparin is more concentrated: 1,000 units per mL or 10,000 units per mL? _____
Q5) Order: 30,000 units of heparin in 500 mL D5W to infuse at 15 mL/hr units/hr = _____
Q6) If a U for units was misread as a zero by the nurse for a heparin dose, the consequences to the client receiving the heparin could be ____________________________.
Q7) A client weighs 88 kg. Order: Bolus with heparin at 80 units/kg; initiate drip at 18 units/kg/hr. Heparin infusion 25,000 units in 500 mL 0.9 % sodium chloride.
a. Calculate the heparin bolus dosage: _____
b. Calculate the infusion rate for the IV dosage: _____
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Chapter 24: Critical Care Calculations
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Sample Questions
Q1) Lidocaine to infuse at 3 mg/min. The solution available is 2 g of lidocaine in 500 mL D5W. Determine the IV flow rate. ____
Q2) 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.
Q3) 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: ____
Q4) 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: _____
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Chapter 25: Pediatric and Adult Dosage Calculation Based on Weight
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Sample Questions
Q1) 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?
Q2) An adolescent who measures 157.5 cm and weighs 59.1 kg: _____ m<sup>2</sup>
Q3) Order: Epinephrine 0.25 mg IV stat
Available: Epinephrine 0.1 mg/mL
How many milliliters will you prepare to administer? _____ mL
Q4) 170 cm and 50 kg: _____ m<sup>2</sup>
Q5) Directions: Determine the normal dosage range to the nearest tenth. State your course of action.
An IV medication of 50 mcg in 200 mL is ordered to infuse over 2 hr. 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: ______________________________
Q6) An adult who measures 175 cm and weighs 85 kg: _____ m<sup>2</sup>
Q7) 22 inches and 10 lb: _____ m<sup>2</sup>
Q8) 80 cm and 11 kg: _____ m<sup>2</sup> Page 32
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