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Practical Nursing Math equips students with essential mathematical skills required in the nursing profession, focusing on accurate dosage calculations, intravenous flow rates, and conversions between metric and household systems. The course emphasizes real-world applications, including interpreting medication orders, preparing and administering injections, and utilizing ratio and proportion in clinical settings. Students gain confidence in performing calculations and learn to minimize errors, ensuring safe and effective patient care. Through hands-on exercises and scenario-based learning, this course builds a strong foundation for mathematical competency in nursing practice.
Recommended Textbook
Currens Math for Meds Dosages and Solutions 11th Edition by Anna M. Curren
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Sample Questions
Q1) Determine how many tablets will be needed to give the following dose: Tablets are labeled 0.4 mg. You must give 0.8 mg.
Answer: 2 tabs
2
0.4 mg + 0.4 mg = 0.8 mg Therefore, 2 tabs are needed.
Q2) Determine how many tablets will be needed to give the following dose: Tablets are labeled 0.1 mg. You must give 0.2 mg.
Answer: 2 tabs
2
0.1 mg + 0.1 mg = 0.2 mg Therefore, 2 tabs are needed.
Q3) Determine how many tablets will be needed to give the following dose: Tablets are labeled 0.6 mg. You must give 0.3 mg.
Answer: 1/2 tab 1/2
0.5
Because 0.6 mg is greater than 0.3 mg, subtract: 0.6 mg - 0.3 mg = 0.3 mg 0.3 mg is 1/2 of 0.6 mg, so give 1/2 tab.
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Q1) Express the dosage using the official symbol/abbreviation. 1 part drug to 100 parts solution
Q2) Identify the household measure.
3 oz
Q3) Express the dosage using the official symbol/abbreviation. thirty thousand units
Q4) Identify the household measure. 10 gtt
Q5) Express the dosage using the official symbol/abbreviation. ten percent
Q6) Express the dosage using the official symbol/abbreviation. 1 part drug to 6 parts solution
Q7) Identify the household measure. 3 tsp
Q8) Express the dosage using the official symbol/abbreviation. three hundred twenty-five milliequivalents
Q9) Identify the household measure. 10 t Page 4
Q10) Express the dosage using the official symbol/abbreviation.
1 part drug to 5 parts solution
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Q1) What is the trade name of this medication?
Q2) How much medication must be administered for the following order?
Order: potassium chloride 10 mEq
Q3) What is the quantity of capsules according to the label?
Q4) What is the trade name of this medication?
Q5) A medication label contains the following information: Minipress®
prazosin hydrochloride
2 mg
250 capsules
Pfizer Labs
How many capsules are required to administer the ordered dose?
Order: Minipress 4 mg
Q6) What is the generic name of this medication?
Q7) A medication label contains the following information: Lomotil® Liquid
Each 5 mL contains diphenoxylate hydrochloride USP 2.5 mg
Warning-May be habit forming
How much medication must be administered for the following order?
Order: Lomotil 2.5 mg
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Q1) What is the correct conversion of 5:10 a.m. (standard time) to military time?
Q2) How is a medication administered when it is ordered by the sublingual route?
Q3) Find the error in the following order
Digoxin .125 mg PO daily 0900
Q4) What is the correct conversion of 6:00 p.m. (standard time) to military time?
Q5) According to The Joint Commission (2005), the medical abbreviation "QOD" has been eliminated. What term should be used instead?
Q6) Find the error in the following order.
MS 10 mg PO bid prior to dressing changes at 1000 and 2200
Q7) What is the correct conversion of 2245 (military time) to standard time?
Q8) What is the correct conversion of 1500 (military time) to standard time?
Q9) While preparing dosages, how many times should the drug order and the drug label routinely be checked against each other?
Q10) What is the correct conversion of 2:45 p.m. (standard time) to military time?
Q11) What is the correct conversion of 0700 (military time) to standard time?
Q12) Find the error in the following order.
insulin 56 u subcutaneous 1800 Page 7
Q13) What is the correct conversion of 0930 (military time) to standard time?
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Sample Questions
Q1) A medication label contains the following information:
Methotrexate Injection, USP
250 mg (25 mg/mL)
10 mL Single Dose Vial
How much is needed for this dose?
Order:
Methotrexate 0.5 g IM weekly
Give:

Q2) Calculate the amount needed for this order.
Order:
Heparin 5000 units subcut
Give:
Q3) Calculate the amount needed for the order.
Order:
Vistaril® 50 mg IM
Give:
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Q1) What is the recommended storage temperature for this medication?
Q2) Can this medication be given by intramuscular injection?
Q3) How long will the reconstituted Velosef retain its potency if refrigerated?
Q4) You have reconstituted the cytarabine with 10 mL of bacteriostatic water for injection with benzyl alcohol. What volume will you draw up for an ordered dose of 275 mg?
Q5) If the Solu-Medrol is reconstituted at 0200 on March 6, when will the vial expire?
Q6) If 11.5 mL of diluent is added to the vial, what volume will you draw up for a dose of 5 million units?
Q7) What is the total dosage of the reconstituted medication?
Q8) What size of syringe will you use to draw up the recommended amount of diluent?
Q9) You have added 5 mL of diluent to the vial. By what route will the medication be administered?
Q10) If a 375 mg dose is required, what volume will you draw up?
Q11) What is the total volume of this vial if reconstituted per instructions?
Q12) What is the usual adult dosage of nafcillin?
Q13) What is the volume needed for a 35 mg dose?
Q14) If you add 33 mL of diluent to the vial, what volume will you draw up for a dose of 3.5 Page 10
million units?
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Q1) The available supply is labeled 50 mEq per 20 mL. Prepare a dose of 62 mEq. Express your answer to the nearest tenth.
Q2) The drug label reads 1000 mcg per 2.5 mL. The order is for 0.5 mg. Calculate the dosage volume. Express your answer to the nearest tenth.
Q3) The vial is labeled 1000 mcg/mL. Prepare a 1.2 mg dose. Express your answer to the nearest tenth.
Q4) The dosage available is 60 mEq per 50 mL. Prepare a dose of 35 mEq. Express your answer to the nearest tenth.
Q5) The available supply is 0.6 mg per 1 mL. Prepare a 350 mcg dose. Express your answer to the nearest tenth.
Q6) A dosage strength of 100,000 units per 3 mL is available. Give 140,000 units. Express your answer to the nearest tenth.
Q7) Prepare a 200 mcg dose from a supply of 150 mcg per 3 mL. Express your answer to the nearest tenth.
Q8) Prepare a 2 g dose from a supply of 10 g per 6 mL. Express your answer to the nearest tenth.
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Q1) The strength available is 500 mcg/mL. Prepare a 0.6 mg dose.
Q2) Prepare a dose of 7.5 mg from the available strength of 25 mg/5 mL.
Q3) The dosage ordered is 75 mg. Solution available is 25 mg/mL. Calculate the dosage volume.
Q4) Prepare a 15 mg dose from 30 mg tablets.
Q5) Prepare a 1000 unit dose from a 5000 units/1 mL solution.
Q6) The dose ordered is 40 mg. Solution available is 25 mg/mL. Calculate the dosage volume.
Q7) The dosage ordered is 6 mg. Solution available is 4 mg/mL. Calculate the dosage volume.
Q8) The ordered dose is 7500 units. Solution available is 5000 units/mL. Calculate the dosage volume.
Q9) The ordered dose is 0.25 g. Solution available is 250 mg/mL. Calculate the dosage volume.
Q10) Prepare a 0.5 mg dose from an available strength of 300 mcg/mL. Express your answer to the nearest tenth.
Q12) A drug label reads 10 mg tablets. Prepare a 20 mg dose. Page 13
Q11) The dosage strength is 25 mg/5 mL. Prepare a 75 mg dose.
Q13) A dosage of 0.75 g is ordered. Solution available is 500 mg/mL. Calculate the dosage volume.
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Sample Questions
Q1) The order is for 6 mg. The drug is labeled 20 mg in 25 mL.
Q2) The drug is labeled 10,000 units in 1 mL. The order is for 6000 units.
Q3) Prepare a 150 mg dose from an available dosage of 800 mg in 100 mL.
Q4) You have available 0.2 g in 2 mL. Draw up a dosage of 100 mg.
Q5) The drug is labeled 80 mg in 4 mL. The order is for 120 mg.
Q6) You are to prepare 45 mEq for addition to an IV solution. The solution available is 10 mEq in 25 mL.
Q7) An order is written to administer 400 mcg. The available dosage is 1 mg in 2 mL.
Q8) An order is written for an addition of 70 mEq to an IV solution. The available vial is labeled 40 mEq in 10 mL.
Q9) Prepare a dose of 12 mg from an available supply of 10 mg in 5 mL.
Q10) Draw up 14 units from a vial labeled 20 units in 5 mL.
Q11) The ordered dose is 175,000 units. The available strength is 500,000 units in 7.5 mL.
Q12) The solution available contains 1 g in 50 mL. Prepare a dose of 350 mg.
Q13) 165 mcg is ordered and you have 0.6 mg in 5 mL available.
Q14) The label reads 20 mg in 50 mL. An 18 mg dose has been ordered.
Q15) The dosage strength available is 2 g in 50 mL. Draw up a dose of 4.5 Page 15
Q16) The drug is labeled 50 mEq in 15 mL. Prepare a dose of 90 mEq.
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Q1) What is this client's per dose dosage?
Q2) An infant weighs 14.3 lbs. What is the higher per dose dosage for this infant?
Q3) What would the lower per dose dosage in mcg be for a 136 lb woman?
Q4) What would be the total daily dosage if this medication were to be given every 6 hours?
Q5) What is the highest total dosage for the drug administration period for this patient?
Q6) What is the lower single dosage?
Q7) The order for this child is to give 6000 mg every 6 hours. Is this an acceptable and safe dose?
Q8) An infant weighs 14.3 lbs. What is the lower per dose dosage for this infant?
Q9) The prescriber orders "6000 mcg every 6 hours" for a patient weighing 51 kg. Is this within the recommended range?
Q10) If the order is for 800 mcg every 12 hours, is this an accurate dose?
Q11) What is this patient's lower per dose dosage?
Q13) What is the higher single dosage? Page 17
Q12) What would the lower daily dose in mg be for a 215 lb man?
Q14) What would be the total daily dosage if this medication were to be given every 4 hours?
Q15) What would the higher per dose dosage in mcg be for a 93 lb client?
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Sample Questions
Q1) An adult client is 74 in tall and weighs 194 lb. Calculate the client's fifth dose. The client's serum bilirubin is 4.1 mg/100 mL.
Q2) The client weighs 78 kg, is 5 feet 5 inches tall, and has been diagnosed with squamous cell carcinoma. What is the dosage range for this client?
Q3) The adult client is 181 cm tall and weighs 174 lb. Calculate the adult's first dose.
Q4) The child's BSA is 0.84 m<sup>2</sup>. Calculate the fifth dose.
Q5) What will the single dose range be for a patient with a BSA of 1.64 m<sup>2</sup>?
Q6) Calculate the highest recommended dose for a patient with testicular cancer whose BSA is 1.7 m<sup>2</sup>.
Q7) The order is to administer carmustine daily for 2 days. If the client weighs 79 kg and has a height of 183 cm, what will the lowest daily dose be?
Q8) A client is to receive her third dose of carboplatin for recurrent ovarian cancer. Her weight is 143 lb and height is 66 in. Calculate the dosage of carboplatin.
Q9) A 7-year-old child weighs 39 lb and is 3 ft tall.
Q10) An adult weighs 187 lb and is 69 in tall.
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Q1) In IV fluid abbreviations, D10LR identifies what IV fluid?
Q2) The physician inserts the IV into the patient's subclavian vein.What type of line is this?
Q3) A patient is admitted following surgery and has significant pain. You might expect an order for what type of medication delivery device?
Q4) What is the abbreviation for 12.5% dextrose in 0.9% sodium chloride?
Q5) In what unit in the hospital are burettes are commonly used?
Q6) Describe the irrigation routine for a saline lock.
Q7) A patient is ordered an IV of 1000 mL NS to infuse at 100 mL/hr. What clamp will you use to regulate/set this flow rate?
Q8) What is the correct fluid level for the IV drip chamber? Why?
Q9) The RN is preparing a primary IV line. Does this need to be done using clean or sterile technique?
Q10) Which bag is hung at a higher level above the IV site: secondary or primary?
Q11) Parenteral nutrition solutions generally are not used for longer than ____________________ hours due to the risk of bacterial growth.
Q12) To prevent air from entering the tubing, all clamps must be ____________________ before connecting the tubing to the solution bag. Page 20
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Q1) The order reads: "Infuse 90 mL in 1 hour." The set is calibrated to 10 gtt/mL. Calculate the gtt/min to the nearest whole number.
Q2) An IV of 750 mL was to infuse in 4 hours. After 1 hour, 300 mL has infused. Recalculate the gtt/min rate to complete the infusion on time (to the nearest whole number). A 15 gtt/mL set is being used.
Q3) Administer 125 mL in 45 minutes using a microdrip set. Calculate the gtt/min to the nearest whole number.
Q4) Administer 470 mL in 3 hours using a 10 gtt/mL set. Calculate the gtt/min to the nearest whole number.
Q5) Infuse 75 mL over 23 minutes using a 20 gtt/mL set. Calculate the gtt/min to the nearest whole number.
Q6) Infuse 7 mL in 5 minutes using a microdrip set. Calculate the gtt/min to the nearest whole number.
Q7) The order is to infuse 94 mL in 20 minutes using a 60 gtt/mL set. Calculate the gtt/min to the nearest whole number.
Q8) Using a 60 gtt/mL set, administer 17 mL over 21 minutes. Calculate the gtt/min to the nearest whole number.
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Q1) The flow rate ordered for 500 mL is 75 mL/hr. It is started at 4:08 am. Calculate the infusion time and the completion time.
Q2) With 370 mL remaining, a rate change to 68 mL/hr is ordered. It is 12:34 pm. Calculate the infusion time and the completion time.
Q3) An infusion of 2500 mL is started at 8:00 am to run at 275 mL/hr. Calculate the infusion time and the completion time.
Q4) A medication is set at a rate of 70 mL/hr at 9:05 pm with a volume of 200 mL. Calculate the infusion time and the completion time.
Q5) An IV of 410 mL is restarted at 3:04 am at a rate of 75 mL/hr. Calculate the infusion time and the completion time.
Q6) A volume of 390 mL is started at 7:09 am at a rate of 35 mL/hr. Calculate the infusion time and the completion time.
Q7) A volume of 300 mL is started at 7:21 pm at a rate of 45 mL/hr. Calculate the infusion time and the completion time.
Q8) A medication is set at 1414 to infuse at a rate of 55 mL/hr. The volume of the medication is 140 mL. Calculate the infusion time and the completion time.
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Q1) A 35 mg/hr dosage is ordered and a 250 mg in 250 mL solution is available. Calculate the flow rate in mL/hr.
Q2) The order is to infuse 90 mcg/kg/min to a patient weighing 81.7 kg. The solution strength is 3 g in 250 mL. Calculate dosage (in mcg/min) to the nearest tenth and flow rate (in mL/hr) to the nearest whole number.
Q3) An infusion of 300 mg/250 mL is infusing at a rate of 38 mL/hr. Calculate the dose currently infusing in mcg/min to the nearest whole number.
Q4) A 14 mcg/min dosage using a 10 mg in 250 mL solution is ordered. Calculate the flow rate in mL/hr.
Q5) A solution of 600 mg/500 mL is infusing at 60 mL/hr. Calculate the dose currently infusing in mcg/min to the nearest whole number.
Q6) An adult weighing 64 kg has an infusion ordered at 6 mcg/kg/min. The solution strength is 600 mg/500 mL. Calculate dosage (in mcg/min) to the nearest tenth and flow rate (in mL/hr) to the nearest whole number.
Q7) A solution of 100 mg in 500 mL is ordered to infuse at 0.9 mcg/kg/min for a patient weighing 74.3 kg. Calculate dosage (in mcg/min) to the nearest tenth and flow rate (in mL/hr) to the nearest whole number.
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Q1) 1000 mL NS with 35,000 units of heparin is to infuse at 690 units/hr. Calculate the flow rate in mL/hr.
Q2) The order is for 1100 units heparin per hour. The solution strength is 12,000 units in 500 mL D5W. Calculate the flow rate in mL/hr.
Q3) An IV of 500 mL D5W with 1000 units of heparin is to infuse at 50 units/hr. Calculate the flow rate in mL/hr.
Q4) Heparin 2000 units/hr is to infuse utilizing an available solution of 50,000 units in 500 mL. Calculate the flow rate in mL/hr.
Q5) The order is to infuse 500 mL NS with 25,000 units heparin at 950 units/hr. Calculate the flow rate in mL/hr.
Q6) The patient is to receive a heparin infusion of 580 units/hr from a solution containing 12,000 units of heparin in 500 mL. Calculate the flow rate in mL/hr.
Q7) 250 mL D5W with 10,000 units heparin is to infuse via pump at 425 units/hr. Calculate the flow rate in mL/hr.
Q8) 250 mL NS with 15,000 units of heparin is to infuse via pump at 330 units/hr. Calculate the flow rate in mL/hr.
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Q1) Prepare a 30 mg dose from an oral medication with a 25 mg/mL dosage strength.
Q2) Prepare a 60 mg dose from a supply dosage of 150 mg/mL.
Q3) Prepare a 10 mEq dose from a label reading 10 mEq tabs.
Q4) Prepare a 2.5 mg dose from a medication with the dosage strength of 5 mg/mL.
Q5) Prepare a dose of 125 mg from a medication with the dosage strength of 125 mg/5 mL.
Q6) Prepare a 250 mg dose from a dosage strength of 500 mg/15 mL.
Q7) Prepare a 5 mg dose from a medication dosage strength of 10 mg/mL.
Q8) Prepare a 200 mg dose from a supply dosage of 100 mg/mL.
Q9) Prepare an 8 mg dose from a supply dosage of 25 mg/mL.
Q10) Prepare a 50 mg dose. The supply dosage is 250 mg/5 mL.
Q11) Prepare a 10 mg dose of a medication with the dosage strength of 20 mg/mL.
Q12) Prepare a 300 mg dose from a dosage supply of 600 mg tabs.
Q13) Prepare a 25 mg dose of medication with a dosage strength of 100 mg/5 mL.
Q15) Prepare a 100 mg dose from a dosage strength of 100 mg/mL. Page 26
Q14) Prepare a 200 mg dose of an oral medication with a concentration of 125 mg/5 mL.
Q16) Prepare a 12.5 mg dose. The dosage supply is 6.25 mg/mL.
Q17) Prepare a 300 mg dose from an oral suspension with a 300 mg/5 mL dosage strength.
Q18) Prepare a 2 mg dose from an elixir with a dosage strength of 0.5 mg/mL.
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Q1) A child weighing 21 lbs is to receive 100 mL/kg/day. Calculate the 24-hour fluid requirement and the EID setting in mL/hr for the 24-hour period.
Q2) A volume of 50 mL is to infuse in 75 minutes. Calculate the EID settings in mL/hr.
Q3) Calculate the dosage infusing per hour.
Q4) A child weighing 54 lbs is to receive 170 mL/kg/day. Calculate the 24-hour fluid requirement and the EID setting in mL/hr for the 24-hour period.
Q5) Calculate the dosage infusing per hour.
Q6) A volume of 40 mL is to infuse in 1 hour. Calculate the flow rate in gtt/min using a microdrip calibrated at 60 gtt/mL.
Q7) A child weighing 17 kg is to receive 4-6 mg/kg/dose. Each dose is to infuse over 1 hour. The available supply is labeled 10 mg/2 mL. Calculate the normal dosage ranges to the nearest tenth and the flow rate ranges in gtt/min using a set calibrated to 60 gtt/mL.
Q8) An infant weighing 4.8 kg is to receive 80 mL/kg/day. Calculate the 24-hour fluid requirement and the EID setting in mL/hr for the 24-hour period.
Q9) Make an assessment of the order.
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