DOSAGE CALCULATION PRACTICE PROBLEMS 1. The order is to give 60 mg of Garamycin (gentamicin) IM every 8hr. The vial is labeled 80 mg/ 2 mL. How many mL will you give?_______________ ? mL = 2mL/80 mg X 60 mg/(1) = 12/8 = 1.5 mL 2. The patient is to receive 65 Units of a drug. The vial is labeled 50 Units per 2 mL. How many mL will you give?__________ ? mL = 2 mL/50 units X 65 units/(1) = 130/50 = 2.6 mL 3.The patient is to receive 0.6 g of a drug. How many mg will you give?__________ ? mg = 1000 mg/1 g X 0.6 g/(1) = 600/1 = 600 mg 4.The patient received 400 mL of fluid. How many L did she receive?__________ ? L = 1 L/1000 mL X 400 mL/(fluid) = 4/10 = 0.4 L 6.The patient weighs 160 pounds. How many Kg does he weigh?__________ ? kg = 1 kg/2.2 lbs X 160 lbs/(patient) = 160/2.2 = 72.7 kg 8.The patient is to receive 50 mg of a drug. How many g will you give? ________ ? g = 1 g/1000 mg X 50 mg/(drug) = 5/100 = 0.05 g 9.The physician has ordered 300 mg of a drug. The vial is labeled 150 mg / 2 mL. How many mL will you give?__________ ? mL = 2 mL/150 mg X 300 mg/(some drug) = 60/15 = 4 mL 10. If the patient receives 45 mL of a drug, How many ounces does he receive?__________ ? ozs = 1 oz/30 mL X 45 mL/(drug) = 45/30 = 1.5 oz 11. You have an order to give 120 Units of Vitamin D. If the vitamin comes in capsules containing 60 Units, how many capsules will you give?__________ ? caps = 1 cap/60 units X 120 units/(Vit.D) = 12/6= 2 capsules 12. The patient is to receive 450 mg of an antibiotic. The vial contains a powder to be
reconstituted. The label of the vial reads: Kefzol (cefazolin) 1 g. To reconstitute: Add 2.5 mL sterile water for injection to provide a volume of 3mL. How many mL of solution are needed to provide the patient with the prescribed dose?__________ ? mL = 3 mL/1 g X 1 g/1000 mg X 450 mg/(some ABX) = 135/100 = 1.4 mL 13. You have an order of 5 mg / kg dose of medication for a patient weighing 22 pounds. How many mg will you give?__________ ? mg = 5 mg/kg X 1 kg/2.2 lbs X 22 lbs/(patient) = 110/2.2 = 50 mg 15. The doctor orders 5 mg of Valium (diazepam) for the patient. The vial reads: 20 mg per 2 mL How many mL will you give?__________ ? mL = 2 mL/20 mg X 5 mg/(Valium) = 10/20 = 0.5 mL 16. The patient is to receive 500 mL of D5W over 6 hours . What is the drip rate per minute if the tubing provides 12 gtts per mL?__________ ? gtts/min = 12 gtts/1 mL X 500 mL/6 hrs X 1 hr/60 mins = 600/36 = 16.7 = 17 gtts/min 17. The patient is to be given 20 units of a drug. The vial is labeled 50 units/ 2 mL. How many mL will you give?__________ ? mL = 2 mL/50 units X 20 units/(drug) = 4/5 = 0.8 mL 18. The patient has an order for 1.2 g of a drug. How many mg will you give? __________ ? mg = 1000 mg X 1.2 g/(drug) = 1200/1 = 1200 mg 20. The patient is to receive 40 mg of a drug in 50 mL of NS (Sodium Chloride) over one half hour. What is the drip rate per minute if the tubing provides 15 gtts per ml?_________ ? gtts/min = 15 gtts/1 mL X 50 mL/30 mins = 75/3 = 25 gtts/min 21. The patient has Demerol 75 mg ordered. for complaint of pain. The drug is
available as 50 mg per 1 mL. How many mL __________ ? mL = 1 mL/50 mg X 75 mg/(Demerol) = 75/50 = 1.5 mL 23. A drug comes packaged as 10,000 Units/2 mL. The order for your patient is 6,500 Units. How many mL will you give?__________ ? mL = 2 mL/10,000 units X 6,500 units/ (drug ordered) = 130/100 = 1.3 mL 24. An IV of 5% Dextrose in Water (D5W) 500 mL is ordered to infuse over 6 hours. What will the rate per hour be?__________ ? mL/hr = 500 mL/6 hrs = 83.3 mL/hr 25. The order is 5% Dextrose in Water (D5W) 250 mL to infuse over 4 hours. How much per hour should be infused?__________ ? mL / hr = 250 mL/4 hrs = 62.5 mL/ hr 26. A drug comes packaged as 5,000 Units per mL and you must give 4,000 Units. How many mL will you ister?_____________ ? mL = 1 mL/5000 units X 4000 units/(1) = 4/5 = 0.8 mL 27. A drug is ordered at 500 mg IV every 6 hr. When 2 mL of dilutent is added to the 500 mg vial, each mL equals 200 mg. How many mL will you give? _________ ? mL = 1 mL/200 mg X 500 mg/(drug) = 500/200 = 2.5 mL 28. You are to give 350 mg po of a drug. The stock supply is 0.5 g/tablet. How many tablets will you give?____________ ? tablets = 1 tab/0.5 g X 1 g/1000 mg X 350 mg/(drug) = 350/500 = 0.7 tablets 29. The doctor has ordered 0.6g of a drug. Pharmacy has supplied 300 mg tablets. How many tablets will you give?_________________ ? tablets = 1 tab/300 mg X 1000 mg/1 g X 0.6 g/(drug) = 600/300 = 2 tablets 30. You have an order of 3mg/kg per dose of medication for a patient weighing 11
pounds. How many mg will you give per dose?_______________ ? mg = 3 mg/kg X 1 kg/2.2 lbs X 11 lbs/(patient) = 33/2.2 = 15 mg 31. The doctor orders Valium (diazepam) 4mg IV every 6 hrs prn restlessness. The vial is labeled 10 mg /2 mL. How many mL will you ister? _________________ ? mL = 2 mL/10 mg X 4 mg/(Valium) = 8/10 = 0.8 mL 32. The doctor orders a 4 mg/kg per dose of a drug for a 24 pound child. How many mg do you ister? ________________ ? mg = 4 mg/kg X 1 kg/2.2 lbs X 24 lbs/(child) = 96/2.2 = 43.6 mg 33. The patient is to receive Ampicillin, 50 mg, in 100 mL of NS (Sodium Chloride) over one half hour. What is the drip rate per minute if the tubing provides 12 gtts per mL?_____________ ? gtts/min = 12 gtts/1 mL X 100 mL/30 mins = 1200/30 = 40 gtts/min 34. The patient is to receive 500 mL of D5W over 8 hours . What is the drip rate per minute if the tubing provides 12 gtts per mL? __________ ? gtts/min = 12 gtts/1 mL X 500 mL/8 hrs X 1 hr/60 mins = 6000/480 = 13 gtts/min 36. You are to give 300 mg of a drug. The drug is labeled 150 mg/2 mL. How many mL will you give? __________ ? mL = 2 mL/150 mg X 300 mg/(drug) = 600/150 = 4 mL 37. You are to give 100 mg of a drug. The drug is available in 50 mg/2 mL. How many mL will you give? ____________________ ? mL = 2 mL/50 mg X 100 mg/(drug) = 20/5 = 4 mL 38. You are to give 90 Units of a vitamin every day. The vitamin comes in capsules containing 30 Units each. How many capsules will you give? __________________
? capsules = 1 caps/30 units X 90 units/Vit = 9/3 = 3 capsules 39. If the dose for a medication is 13 mg/kg, what is the dose for a patient that weighs 56 pounds?__________________ ? mg = 13 mg/kg X 1 kg/2.2 lbs X 56 lbs/(patient) = 728/2.2 = 330.9 mg 40. The patient received 90 mL of a drug. How many ounces did he receive? ___________________ ? oz = 1 oz/30 mL X 90 mL/(drug) = 9/3 = 3 oz
43. The patient weighs 280 pounds. How many kg does the patient weigh? ? kg = 1 kg/2.2 lbs. X 290 lbs/(patient) = 127.3 kg 44. If the dose for a medication is 0.3 mg/kg, what is the dose for a child that weighs 26 pounds?__________ ? mg = 0.3 mg/kg X 1 kg/2.2 lbs X 26 lbs/(child) = 7.8/2.2 = 3.5 mg 45. The physician orders 25 Units of a drug. The vial is labeled 100 Units/ 2 mL. How many mL will you ister? ________________ ? mL = 2 mL/100 units X 25 units/(drug) = 50/100 = 0.5 mL 46. A child weighing 42 pounds has an order for Morphine 0.05 mg/kg SQ. How many mg will you give?______________ ? mg = 0.05 mg/kg X 1 kg/2.2 lbs X 42 lbs/(child) = 2.1/2.2 = 1 mg 47. A patient received two 250 mg tablets. How many g did the patient receive? ________________ ? g = 1 g/1000 mg X 250 mg/1 tab X 2 tabs/(received) = 500/100 = 0.5 g 48. A patient who weighs 74 pounds has an order for Advil (ibuprofen) 3.5 mg/kg every 6 hours. How many mg will you give in a single dose?______________ ? mg = 3.5 mg/kg X 1 kg/2.2 lbs X 74 lbs/(patient) = 259/2.2 = 117.7 mg
49. The doctor has ordered 0.4 g of a drug. How many mg of the drug will you give? _________________ ? mg = 1000 mg/1 g X 0.4 g/(drug) = 400 mg 50. The patient is to receive 1.8 g of a drug. This is how many mg? __________ ? mg = 1000 mg/1 g X 1.8 g/(drug) = 1800 mg 51. A 15 pound child has an order for an antibiotic for 55 mg/kg/every 6 hours. The antibiotic comesas 1 g/25 mL. What is the amount of a single dose?________________ ? mL = 25 mL/1 g X 1 g/1000 mg X 55 mg/kg X 1 kg/2.2 lbs X 15 lbs/(child) = 20,625/2,200 = 9.4 mL 52. A patient who weighs 196 pounds has an order for a medication dose to be given at 25 mg/kg/day. How many g per day will you give?_________________ ? g/day = 1 g/1000 mg X 25/kg/day X 1 kg/2.2 lbs X 196 lbs/(patient) = 4900/2200 = 2.2 g/day 53. A 175 pound patient has an order for an analgesic of 12 mg/kg every 4 hours. How many mg is in each dose?_____________ ? mg = 12 mg/kg X 1 kg/2.2 lbs X 175 lbs/(patient) = 2100/2.2 = 954.5 mg 54. An antibiotic is ordered for a child weighing 12.4 kg. The drug label reads 1 g/2.5 mL and the dose range is 100 mg/kg/day. What is the dose of medication for this patient per day?______________ ? mL/day = 2.5 mL/1 g X 1 g/1000 mg X 100 mg/kg/day X 12.4 kg/(child) = 3100/1000 = 3.1 mL/day 55. A patient who weighs 76 kg has an order for an antibiotic for 100 mg/kg/day every 6 hours. The antibiotic comes as 1 g/25 mL. What is the amount of a single dose?___________ ? mL/dose = 25 mL/1 g X 1 g/1000 mg X 100 mg/kg/day X 76 kg/(patient) X 1 day/1 dose = 11,400/240 = 47.5 mL/dose 56. A medication has been ordered for a patient who weighs 23.4 kg. The therapeutic range is 250mg/kg/day. The drug comes as 3.5g/100mL. How many mL is the
therapeutic daily dosage for this patient?__________________ ? mL/day = 100 mL/3.5 g X 1 g/1000 mg X 250 mg/kg/day X 23.4 kg/(patient) = 585/3.5 = 167.1 mL/day 57. The recommended maximum dosage of a drug is 2 mg/kg/day. What is the maximum dosage per day for a child who weighs 35 pounds?_________ ? mg/day = 2 mg/kg/day X 1 kg/2.2 lbs X 35 lbs/(child) = 70/2.2 = 31.8 mg/day 58. The safe dosage of a drug is 7.5 mg/kg/day IV given q8h. What is the safe daily dosage for a child weighing 40 pounds?_________ ? mg/day = 7.5 mg/kg/day X 1 kg/2.2 lbs X 40 lbs/(child) = 300/2.2 = 136.4 mg/day 59. The recommended safe maximum dosage of a drug is 7 mg/kg/day. What is the safe maximum dosage per day for a child who weighs 25 pounds?_________ ? mg/day = 7 mg/kg/day X 1 kg/2.2 lbs X 25 lbs/(child) = 175/2.2 = 79.5 mg.day 60. An antibiotic is ordered for a child weighing 42.4kg. The drug label reads 1g/2.5 mL and the therapeutic dose range is 125mg/kg/day. How many mL will this patient receive per day?______________________ ? mL/day = 2.5 mL/1 g X 1 g/1000 mg X 125 mg/kg/day X 42.4 kg/(1) = 13,250/1000 = 13.3 mL/day 61. The order is to give Geocillin (carbenicillin) IM 800 mg q6h. The vial states that the concentration of the medication is 1 g/2.5 mL. How many mL will you give?__________ ? mL = 2.5 mL/1 g X 1 g/1000 mg X 800 mg/(drug) = 20/10 = 2 mL 63. The recommended dose for an antibiotic is 80mg/kg/day. If the patient weighs 38 kg how many mg/day should the patient receive?___________________ ? mg/day = 80 mg/kg/day X 38 kg/(patient) = 3,040 mg/day 64. You have an order of 7.5 mg/kg dose of medication for a patient weighing 129 pounds. How many mg will you give?_________ ? mg = 7.5 mg/kg X 1 kg/2.2 lbs X 129 lbs/(pt) = 967.5/2.2 = 439.8 mg
65. Ordered is Vancomycin, 2mg/kg IV every 24 hours. It is available as 500mg/10mL. The patient weighs 30 kg. How many mL will you give?______ ? mL = 10 mL/500 mg X 2 mg/kg X 30 kg/(patient) = 5/5 = 1 mL 66. An oral liquid medication is available as 0.25 mg/10 mL and you must give a dose of 0.125 mg. How many mL will you give?_____________________ ? mL = 10 mL/0.25 mg X 0.125 mg/(dose) = 1.25/0.25 = 5 mL 67. A drug comes as 0.5 g in 1 mL and you must give 1.25 g. How many mL will you give?_____________ ? mL = 1 mL/0.5 g X 1.25 g/(drug) = 1.25/0.5 = 2.5 mL 68. A drug comes 250 mg/mL and you must give 2.25 g. How many mL will you give?________________ ? mL = 1 mL/250 mg X 1000 mg/1 g X 2.25 g/(drug) = 2,250/250 = 9 mL 69. You are to give 0.75 mg of a drug which comes as 1,000 mcg/mL. How many mL will you give?_______________ ? mL = 1 mL/1000 mcg X 1000 mcg/1 mg X 0.75 mg/(drug) = 750/1000 = 0.75 mL 70. Give Unipen (nafcillin) 500 mg IM q6h. When 3.4 mL of diluent is added to the 1 g vial, 250 mg equals 1 mL. How many mL will you give?______________ ? mL = 1 mL/250 mg X 500 mg/(drug) = 500/250 = 2 mL 71. The order is for Prostaphlin (oxacillin) IM 500 mg q6h. When 2.8 mL of diluent is added to the 500 mg vial each 250 mg equals 1.5 mL. How many mL will you ister?_____________________ ? mL = 1.5 mL/250 mg X 500 mg/(drug) = 750/250 = 3 mL 72. The patient is to receive 250 mL of 5% Dextrose in Water (D5W) every 6 hours. What is the drip rate per minute if the tubing provides 15 gtts per mL?__________
? gtts/min = 15 gtts/1 mL X 250 mL/6 hrs X 1 hr/60 mins = 3750/360 = 10 gtts/min 73. The patient is to receive 25mg of a drug in 100 mL of Sodium Chloride (NS) over one and one-half hours. What is the drip rate per minute if the tubing provides 15 gtts per mL?__________ ? gtts/min = 15 gtts/1 mL X 100 mL/1.5 hr X 1 hr/60 mins = 1500/90 = 17 gtts/min 74. The patient is to receive 1000 mL Lactated Ringers (RL) IV in 6 hours. What is the drip rate per minute if the tubing provides 10 gtts per mL?__________ ? gtts/min = 10 gtt/1 mL X 1000 mL/6 hrs X 1 hr/60 min = 1000/36 =28 gtts/min 75. The patient is to receive 250 cc Packed Red Blood Cells (RBCs) IV in 3 hours. What is the drip rate per minute if the tubing provides 6 gtts per mL?_________ ? gtts/min = 6 gtts/1 mL X 250 mL/3 hrs X 1 hr/60 mins = 150/18 = 8 gtts/min 76. The physician has ordered 225 mg of a drug. The vial is labeled 150mg/2 mL. How many mL will you give?_________ ? mL = 2 mL/150 mg X 225 mg/(drug) = 450/150 = 3 mL 77. The patient is to receive 650 mg of an antibiotic. The vial contains a powder to be reconstituted. The label of the vial reads: Kefzol (cefazolin) 1 g. To reconstitute add 2.5 mL sterile water for injection to provides a volume of 3.0 mL. How many mL of reconstituted solution are needed to provide the patient with the prescribed dose?__________ ? mL = 3 mL/1 g X 1 g/1000 mg X 650 mg/(drug) = 195/100 = 2 mL 78. The doctor orders 7.5 mg of Valium (diazepam) for the patient. The Tubex vial reads: 20mg/ 2 mL. How many mL will you give?__________ ? mL = 2 mL/20 mg X 7.5 mg/Valium = 15/20 = 0.75 mL 79. The patient has Demerol (meperidine) 35 mg ordered. The drug is available as 50 mg/1 mL. How many mL will you give?____________
? mL = 1 mL/50 mg X 35 mg/Demerol = 35/50 = 0.7 mL 80. A drug is ordered at 500 mg IV q6h (over 6 hours). When 2.0 mL of dilutent is added to the 500 mg vial, each mL equals 150 mg. How many mL will you give?___________ ? mL = 1 mL/150 mg X 500 mg/(drug) = 50 15 = 3.3 mL 81. The patient is to receive an antibiotic of 350 mg q6h. The label reads Ancef 1 g. Reconstitute with 3 ml of diluent to yield 250 mg/mL. How many mL will you give?__________ ? mL = 1 mL/250 mg X 350 mg/(drug) = 35/25 = 1.4 mL 82. The patient is to receive an antibiotic of 65 mg IM q8h. The label reads 120 mg/2 mL. How many mL will you give?__________ ? mL = 2 mL/120 mg X 65 mg/(drug) = 130/120 = 1.1 mL 83. The patient is to receive 20 mg IM of an antiemetic. The label reads 100 mg/ 2 mL. How many mL will you give?__________ ? mL = 2 mL/100 mg X 20 mg/(drug) = 40/100 = 0.4 mL 84. The IV tubing delivers a drip rate of 10 gtts per ml. What is the drip rate for 1000 mL in 12 hours?_________ ? gtts/min = 10 gtts/1 mL X 1000 mL/12 hrs X 1 hr/60 mins = 1000/72 = 14 gtts/min 85. The IV is 1,000 mL. What is the amount to be given per hour if the fluid is to be infused in 12 hours?__________ ? mL/hr = 1000 mL/12 hrs = 83.3 mL/hr 86. Give 500 ml IV over 6 hours. The tubing delivers 20gtts per mL. What is the rate drip rate per minute?__________ ? gtts/min = 20 gtts/1 mL X 500 mL/6 hrs X 1 hr/60 mins = 1000/36 = 28 gtts/min 87. If the maximum safe dose for a medication is 6 mg/kg/day. What is the maximum
safe dose for a child who weighs 17 kg?__________ ? mg/day = 6 mg/kg/day X 17 kg/pt = 102 mg/day 88. Give 200 ml IV over 3 hours. The tubing drop factor is 15. What is the drop rate per minute?___________________ ? gtts/min = 15 gtts/1 mL X 200 mL/3 hrs X 1 hr/60 mins = 300/18 = 17 gtts/min 89. Give 60 ml IV over 1 hour. The tubing drop factor is 60 gtts/mL What is the drop rate per minute?__________ ? gtts/min = 60 gtts/1 mL X 60 mL/1 hr X 1 hr/60 mins = 360/6 = 60 gtts/min 90. A patient with pneumonia weighs 26.9 kg. If the recommended dose for a specific antibiotic is 75 mg/kg/day, what is the recommended daily dose for this patient?__________ ? mg/day = 75 mg/kg/day X 26.9 kg/(pt) = 2,017.5 mg/day 91. Give Heparin 2000 U sub-q from a vial labeled 10,000 U/mL. How many mL will you give?__________ ? mL = 1 mL/10,000 units X 2000 units/Heparin = 2000/10,000 = 0.2 mL 92. Give 40 mg of Lasix (furosemide) IV. Available as 10mg/mL Give each 10 mg over 60 seconds. How much will you give? How long will it take you to ister the drug?_________ ? mL = 1 mL/10 mg X 40 mg/Lasix = 40/10 = 4 mL ? mL/min = 4 mL/40 mg X 10 mg/1 min = 40/40 = 1 mL/min = 4 mins 93. Give Librium (chlordiazepoxide) 25 mg. When the 50 mg vial is diluted with 5 ml of sterile diluent, each mL equals 5 mg. How many mL will you give?__________ ? mL = 1 mL/5 mg X 25 mg/(drug) = 25/5 = 5 mL 94. Ordered: Robinul (glycopyrrolate) 200 mcg IM. Available as 0.2 mg/mL. How
many mL will you give?__________ ? mL = 1 mL/0.2 mg X 1 mg/1000 mcg X 200 mcg/(drug) = 2/2 = 1 mL 95. Give Sparine (promazine HCl) 12.5 mg. Available as 0.025 g/mL. How many mL will you give?__________ ? mL = 1 mL/0.025 g X 1 g/1000 mg X 12.5 mg/(drug) = 12.5/25 = 0.5 mL 96. Give Pronestyl (procainamide HCl) 200 mg. The drug is available as 0.5 g/ mL. How many mL will you give?__________ ? mL = 1 mL/0.5 g X 1 g/1000 mg X 200 mg/(drug) = 2/5 = 0.4 mL 97. Give Mysoline (primidone) 0.1 g po from a bottle labeled Mysoline 250 mg/5mL. How many mL will you give?__________ ? mL = 5 mL/250 mg X 1000 mg/1 g X 0.1 g/(drug) = 50/25 = 2 mL 98. If the maximum safe dose for a medication is 5 mg/kg/day, what is the maximum safe dose for a child who weighs 12.4 kg?__________ ? mg/day = 5 mg/kg/day X 12.4 kg/(child) = 62 mg/day 99. Give Elixir Benadryl (diphenhydramine) 10 mg from a bottle labeled Elixir Benadryl 12.5 mg/5mL. How many mL will you give?__________ ? mL = 5 mL/12.5 mg X 10 mg/(drug) = 50/12.5 = 4 mL 100. Give Declomycin (demeclocycline) 0.3 g q12h. Each capsules is labeled Declomycin 150 mg. How many capsules will you give with each dose? ? capsules = 1 caps/150 mg X 1000 mg/1 g X 0.3 g/(drug) = 30/15 = 2 capsules