Math for Meds. College of Southern Nevada. Practice Problems. Nursing 211

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1 Math for Meds College of Southern Nevada Nursing 211

2 Name: Date: Directions: 1. Solve the dosage calculation problems utilizing the method of your choice. 2. Show your work! 3.Divide math out to the thousandth and round back to the tenth place. Round answers that refer to drops to whole numbers. 4. Please write your answers to the questions on the lines provided for each question. 5. Label answers with the correct unit designation (ml, tab, gtts, etc.). 1. Order: Lorazepam, 0.5 mg IV. You have available to you, lorazepam 2 mg/ml. Question: How many ml s will you administer? 2. Order: 1 Liter D5W in 6 hours. Drop factor: 20 gtts/ml. Question: At how many gtts/minute will the nurse administer the solution? Order: Infuse Ceftriaxone 1 gm in 50 ml of normal saline IVPB over 30 minutes. Drip Factor: 15 gtt/ml. Question: What is your drip rate?

3 4. Order: Infuse Nitroprusside 50 mg in 250 ml of D5W at 2 mcg/kg/min. Your patient weighs 105kg. Question: What is your flow rate to be set at in ml/hour? 5. Order: Infuse heparin at 1400 units/hr. You have a solution of 25,000 units/250 ml D5W. Question: At what rate would you set your pump? Ordered: 400 ml. to be infused in 2 hours. Drop Factor: 12 gtts/ml Question: How many gtts/min. will be administered? Order: Heparin 8 units/kg/hr. Your patient weighs 175#. Pharmacy has supplied you with heparin 25,000 units/250 ml D5W. Question: How many ml/hour would you set the infusion pump for? 7. 3

4 8. Order: Mefoxin 1 gm. IVPB over 30 minutes. Label: 1 gm. in 50 milliliters physiologic saline. Drop factor: 10 gtts/ml. Question: How many drops per minute should the IVPB infuse? 9. Order: Dopamine at 0.5 mcg/kg/min. Your patient weighs 115kg. Question: How many mcg is your patient to receive per hour? Order: Label: Question: 10. 4

5 11. Order: Aminophylline loading dose of 6 mg/kg over 30 minutes. Your patient weighs 75#. Question: How many mg will your patient receive as a loading dose? Order: Amrinone 3mg/kg I.V. The client weighs 140 kg. Supply available: Amrinone 125 mg/5ml. Question: How many ml. will the nurse administer? Order: Amrinone 0.75 mg/kg/minute. Patient weight: 135kg Question: How much amrinone is your patient receiving each minute? 13. 5

6 14. Ordered: 500 ml. to be infused in 6.5 hours. Drop Factor: 12 gtts/ml. Question: How many gtts/min. will be administered? Order: Neo-synephrine 30 mg in 250 ml of solution to infuse at 3 mcg/kg/min. Your patient weighs 160#. Question: What is your flow rate in ml/hour? Order: Gentamicin 110 mg. in 100 ml. D5W IVPB to infuse over 30 minutes. Drop Factor: 20 gtts/ml. Question: At how many drops per minute should the IVPB infuse? 16. 6

7 17. Order: Tagamet 300 mg. IVPB to infuse in one hour. Label reads: Tagamet 300mg. in 100 milliliters D5W. Drop factor: 15 gtts/ml. Question: At how many drops per minute should the IVPB infuse? Ordered: 500 NS to be infused in 8 hours. Drop factor: 20 gtts/ml. Question: At how many gtts/min. will you regulate the flow? Order: Cephradine 4mg/kg po q 6 hours. The client weighs 245 pounds. Supply available : Cephardine 250 mg/5 ml. Question: How many ml. will the nurse administer every 6 hours? 19. 7

8 20. The label on the vial of 250,000 units of urokinase reads to reconstitute to a concentration of 1,500 units/ml. To reconstitute the vial how much diluent will you use? The physician has ordered Ampicillin 250mg. IVPB. The IVPB label reads Ampicillin 250 mg. in 100mL D5W. The drop factor is 20gtts/mL. Infuse in thirty minutes. At how many drops per minute should the IVPB infuse? 21. 8

9 22. The physician s order states: cefotaxime (Claforan) 1 Gram, in 100mL D5W to run IVPB for 30 minutes every 12 hours. The pharmacy sends Claforan 2 Grams in a powered vial. To reconstitute add 10 ml of sterile water to yield 180mg Claforan/1ml. How much Claforan will you add to the D5W? The physician has prescribed Nitroglycerin grain 1/150 sublingual STAT. The pharmacy has supplied Nitroglycerin 0.3 mg. tablets, Nitroglycerin 0.4 mg. tablets and Nitroglycerin 0.6 mg. tablets. Which strength tablet would you administer? 23. 9

10 24. The physician ordered: Penicillin G Potassium 10,000,000 units IV in 1000ml D5W to infuse over 24 hours. The penicillin label states: Penicillin G Potassium 20,000,000 units and to reconstitution dilute with 31.6 ml of D5W to yield 500,000 units per ml. Drop Factor: 15gtts/ml How much penicillin should be added to the 1000 ml of D5W? Regarding the above order, what should the drip rate be? The physician has ordered IV heparin sodium 25,000 units in 1000mL of 0.9% Sodium Chloride to infuse at a rate of 1000 units of heparin per hour. What will your flow rate be to infuse 1000 units/hour?

11 27. The patient is to receive morphine sulfate oral solution grain ¼ orally. The container is labeled 20mg equals 10mL. You should administer how many ml? The physician has ordered Amrinone 3mg/kg I.V. The client weighs 110 kg. The supply available is Amrinone 125 mg/5ml. How many ml. will the nurse administer? The Nurse Practitioner ordered: Regular Insulin 10 units per hour IV in

12 30. The physician ordered 1000 ml of D5/NS to run for 24 hours at 30 ml/hr to keep the vein open (KVO) for your patient. Drop factor is 10gtt/mL. How many gtts/min will you infuse? The physician ordered Mycostatin mouthwash 250,000 units. The drug label reads Mycostatin mouthwash 100,000 units per milliliter. How many ml should the patient receive? The order received was 500 ml to be infused in 4 hours. How many gtts/minute will be administered if the drop factor is 12 gtts/ml?

13 33. The physician ordered Amiodarone hydrochloride (Cordarone) 900 mg to be added to 500 ml of D5W administered IV at 1mg/minute for 6 hours. Pharmacy delivered a 3 ml vial of Cordarone with 50 mg/1ml concentration. Drop factor is 60gtt/mL. How many ml of Cardarone will you add to the D5W? Regarding the above order: How many ml per minute must infuse to deliver the prescribed amount of drug? Regarding the order in question in 33: How many ml per hour should the infusion pump be set to deliver? The physician ordered 500 ml Normal Saline to be infused in 8 hours. The drop factor is 20gtts/mL. How many gtts/minute will you set to regulate the IV?

14 37. The physician ordered hydromorphone hydrochloride (Dilaudid) grain 1/30 by injection. The pharmacy sends Dilaudid 3 mg/ml. You will administer how much to the patient? The physician has ordered Cephradine 4mg/kg orally every 6 hours. The patient weighs 145 pounds. The supply available is Cephardine 250 mg/5 ml. How many ml will the nurse administer every 6 hours? The physician's order reads, "Lanoxin 10 mcg. orally daily." The label is in milligrams. How many mg. of Lanoxin should the nurse administer?

15 40. Order: methylprednisolone, 120 mg IV. Pharmacy sends you a vial marked 125 mg/2 ml. Question: How many ml s will you give? Order: Lorazepam, mg IV for agitation. You have available to you, lorazepam 2 mg/ml. Question: How many ml s will you administer? 42. Order: Pen-V-K 1.1 million units IM Pharmacy delivers Pen-V-K labeled as 1.6 million units per ml. Question: How many ml s will you give? Order: Infuse Ceftriaxone 1 gm in 50 ml of normal saline IVPB over 30 minutes. Drip Factor: 10 gtt/ml. Question: What is your drip rate?

16 44. Order: Diltiazem 7.5 mg/hr. You have diltiazem 250 mg mixed with 250 ml of D5W. Question: What is your flow rate in ml/hour? Order: Infuse heparin at 950 units/hr. You have a solution of 25,000 units/250 ml D5W. Question: At what rate would you set your pump? 46. Order: Heparin 10 units/kg/hr. Your patient weighs 175#. Pharmacy has supplied you with heparin 25,000 units/250 ml D5W. Question: How many units/hour is will be given to your patient? Question: How many ml/hour would you set the infusion pump for in the previous question?

17 48. Order: Dopamine at 0.75 mcg/kg/min. Your patient weighs 145#. Question: How many mcg is your patient to receive per hour? 49. Order: Vecuronium at 0.05 mg/kg/hr. Your patient weighs 90kg. Question: How many mg/hr is your patient receiving? Order: Aminophylline loading dose of 6 mg/kg over 30 minutes. Your patient weighs 110#. Question: How many mg will your patient receive as a loading dose? Order: Continue your same patient on a maintenance dose at 0.9 mg/kg/hr. Question: How many mg will your patient continue to receive per hour?

18 52. Order: Amrinone 0.75 mg/kg/minute. Patient weight: 105kg Question: How much amrinone is your patient receiving each minute? Order: Continue a maintenance drip at 5 mcg/kg/min on previous patient. Question: How much amrinone is your patient receiving per hour? Order: Neo-synephrine 30 mg in 250 ml of solution to infuse at 2 mcg/kg/min. Your patient weighs 160kg. Question: What is your flow rate in ml/hour? Order: Ceftazidime 2 gm/50 ml in 30 minutes. Drip Factor: 20 gtt/ml. Question: What is your gtt rate?

19 56. Order: Infuse Nitroprusside 0.05 g in 250 ml of D5W at 2.5 mcg/kg/min. Your patient weighs 165#. Question: What is your flow rate to be set at in ml/hour? 57. Question: How many mcg/hour is your patient in the previous problem receiving? Order: Lorazepam, 0.25 mg IV. You have available to you, lorazepam 2 mg/ml. Question: How many ml s will you administer? 59. Order: 1 Liter D5W in 6 hours. Drop factor:15 gtts/ml. Question: At how many gtts/minute will the nurse administer the solution?

20 60. Order: Infuse Ceftriaxone 1 gm in 50 ml of normal saline IVPB over 30 minutes. Drip Factor: 60 gtt/ml. Question: What is your drip rate? Order: Infuse Nitroprusside 50 mg in 250 ml of D5W at 2 mcg/kg/min. Your patient weighs 165#. Question: What is your flow rate to be set at in ml/hour? Order: Infuse heparin at 1100 units/hr. You have a solution of 25,000 units/250 ml D5W. Question: At what rate would you set your pump? Ordered: 400 ml. to be infused in 2 hours. Drop Factor: 20 gtts/ml Question: How many gtts/min. will be administered?

21 64. Order: Heparin 14 units/kg/hr. Your patient weighs 175#. Pharmacy has supplied you with heparin 25,000 units/250 ml D5W. Question: How many ml/hour would you set the infusion pump for? Order: Mefoxin 1 gm. IVPB over 30 minutes. Label: 1 gm. in 50 milliliters physiologic saline. Drop factor: 15 gtts/ml. Question: How many drops per minute should the IVPB infuse? Order: Dopamine at 0.5 mcg/kg/min. Your patient weighs 145#. Question: How many mcg is your patient to receive per hour? 67. Order: _ 21

22 68. Order: Aminophylline loading dose of 6 mg/kg over 30 minutes. Your patient weighs 210#. Question: How many mg will your patient receive as a loading dose? 69. Order: Amrinone 3mg/kg I.V. The client weighs 140 pounds. Supply available: Amrinone 125 mg/5ml. Question: How many ml. will the nurse administer? Order: Amrinone 0.75 mg/kg/minute. Patient weight: 135# Question: How much amrinone is your patient receiving each minute? Ordered: 500 ml. to be infused in 4 hours. Drop Factor: 12 gtts/ml. Question: How many gtts/min. will be administered?

23 72. Order: Neo-synephrine 30 mg in 250 ml of solution to infuse at 2 mcg/kg/min. Your patient weighs 160#. Question: What is your flow rate in ml/hour? Order: Gentamicin 110 mg. in 100 ml. D5W IVPB to infuse over 30 minutes. Drop Factor: 15 gtts/ml. Question: At how many drops per minute should the IVPB infuse? 74. Order: Tagamet 300 mg. IVPB to infuse in one hour. Label reads: Tagamet 300mg. in 100 milliliters D5W. Drop factor: 60 gtts/ml. Question: At how many drops per minute should the IVPB infuse? Ordered: 500 ml NSS to be infused in 8 hours. Drop factor: 20 gtts/ml. Question: At how many gtts/min. will you regulate the flow?

24 76. Order: Cephradine 4mg/kg po q 6 hours. The client weighs 145 pounds. Supply available : Cephardine 250 mg/5 ml. Question: How many ml. will the nurse administer every 6 hours? 77. Order: methylprednisolone, 80 mg IV. Pharmacy sends you a vial marked 125 mg/2 ml. Question: How many ml s will you give? Order: Lorazepam, 0.5 mg IV. You have available to you, lorazepam 5 mg/ml. Question: How many ml s will you administer? Order: Pen-V-K 2.1 million units IM Pharmacy delivers Pen-V-K labeled as 1.6 million units per ml. Question: How many ml s will you give?

25 80. Order: Infuse Ceftriaxone 1 gm in 50 ml of normal saline IVPB over 45 minutes. Drip Factor: 15 gtt/ml. Question: What is your drip rate? Order: Diltiazem 15 mg/hr. You have diltiazem 250 mg mixed with 250 ml of D5W. Question: What is your flow rate in ml/hour? 82. Order: Infuse heparin at 10 units/kg/hr. You have a solution of 25,000 units/250 ml D5W. Patient weighs 105 kg Question: At what rate would you set your pump? Order: Heparin 14 units/kg/hr. Your patient weighs 150kg. Pharmacy has supplied you with heparin 25,000 units/250 ml D5W. Question: How many units/hour is will be given to your patient?

26 84. Question: How many ml/hour would you set the infusion pump for in the previous question? 85. Order: Vecuronium at 0.05 mg/kg/hr. Your patient weighs 180#. Question: How many mg/hr is your patient receiving? Order: Aminophylline loading dose of 6 mg/kg over 30 minutes. Your patient weighs 75kg. Question: How many mg will your patient receive as a loading dose? 87. Order: Continue your same patient on a maintenance dose at 0.9 mg/kg/hr. Question: How many mg will your patient continue to receive per hour?

27 88. Order: Neo-synephrine 30 mg in 250 ml of solution to infuse at 2 mcg/kg/min. Your patient weighs 125#. Question: What is your flow rate in ml/hour? 89. Order: Ceftazidime 2 gm/50 ml in 30 minutes. Drip Factor: 15 gtt/ml. Question: What is your gtt rate? Order: Amrinone 0.75 mg/kg/minute. Patient weight: 135# Question: How much amrinone is your patient receiving per hour? Order: Continue a maintenance drip at 5 mcg/kg/min on previous patient. Question: How much amrinone is your patient receiving per hour?

28 92. Order: Infuse Nitroprusside 50 mg in 250 ml of D5W at 3 mcg/kg/min. Your patient weighs 165#. Question: What is your flow rate to be set at in ml/hour? 93. Question: How many mcg/hour is your patient receiving?

29 1 0.3 ml ml mg ml ml 2 56 gtts/min gtts/min ml gtts/min ml 3 25 gtts/min ml ml gtts/min ml 4 63 ml/hr mg ml ml/hr ml 5 14 ml/hr ml gtts/min ml/hr gtts/min 6 40 gtts/min gtts/min ml/hr gtts/min ml/hr ml/hr ml/hr ml/hr ml/hr ml/hr 8 17 gtts/min ml unit/hr gtts/min unit/hr mcg ml 47 8 ml/hr mcg/hr ml/hr mg/hr mg/hr mg 30 5 gtts/min mg/hr mg mg ml ml mg ml mg/hr mg/min ml mg/hr mg/min ml/hr gtts/min ml mg/min gtts/min gtts/min ml/hr ml/min mcg/hr ml/hr mg gtts/min ml/hr ml/hr gtts/min mg/hr gtts/min gtts/min gtts/min gtts/min ml/hr gtts/min ml ml/min gtts/min mcg ml ml mcg/hr 29

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