Cumulative Math Practice Worksheet

Transcription

1 Name: Date: Use the following to answer questions 1-3: Fill in the blank for each pair of ratios to form a proportion: 1. How many capsules are needed to fill a prescription for three days for mefenamic acid 250 mg/capsule, one capsule four times a day? 2. How many tablets are needed to fill a prescription for 21 days for dipyridamole 50 mg/tablet, one tablet four times a day? 3. How many tablets are needed to fill a prescription for seven days for cyproheptadine 4 mg/tablet, one tablet three times a day? 4. Sudafed 30 mg tablets contain pseudoephedrine HCl and are available in boxes of 24, 48, and 96 tablets. The CMEA limit for sale is 146 tablets per day. What is the maximum number of boxes containing 48 tablets that could be purchased by an individual in one day? Page 1

2 5. Children's Sudafed liquid contains 15 mg pseudoephedrine HCl/5 ml and is available in bottles of 118 ml. The CMEA limit for sale is 3,661 ml per thirty days. What is the maximum number of bottles containing 118 ml that could be purchased by an individual in thirty days? 6. Sudafed 30 mg tablets contain pseudoephedrine HCl and are available in boxes of 24, 48, and 96 tablets. The CMEA limit for sale is 366 tablets per thirty days. What is the maximum number of boxes containing 48 tablets that could be purchased by an individual in thirty days? Use the following to answer questions 7-12: Convert the following: 7. If a prescription reads: Amoxicillin 250 mg/tsp., dispense 100 ml, 200 mg t.i.d. X 5d, what is the dose in ml? 8. If a prescription reads: Cefaclor 250 mg/5 ml, dispense 150 ml, 375 mg b.i.d. X 10d, what is the dose in teaspoonsful? Page 2

3 9. If a prescription reads: Erythromycin 200 mg/5 ml, 200 mg t.i.d. X 5d, what is the dose in teaspoonsful? 10. If the dose of a medication is 30 mg/kg/day in four divided doses, what is each dose for a 205-pound patient? (Hint: Use 2.2 lb./kg and note there are 4 doses per day.) 11. If a prescription reads: Amoxicillin 50 mg/ml, dispense 30 ml, 62.5 mg t.i.d. X 5d, what is the dose in teaspoonsful? 12. How many gallons of Coca Cola fountain syrup are needed to package 144 bottles of 120 ml per bottle? Use the following to answer questions 13-14: Use dimensional analysis to solve the following: 13. If 10 tablets contain 3250 mg of aspirin, how many mg are in 2 tablets? Page 3

4 14. How many mg of phenobarbital are in one tablet of 2 grain phenobarbital? Use the following to answer questions 15-18: Convert the following (round your answer to the nearest whole degree): degrees Celsius = degrees Fahrenheit degrees Fahrenheit = degrees Celsius degrees Fahrenheit = degrees Celsius degrees Fahrenheit = degrees Celsius 19. You need to prepare 100 ml of celecoxib 100 mg/5 ml. How many capsules of 200 mg celecoxib/capsule will you need? Page 4

5 20. You need 400 mg of promethazine to prepare 240 ml of PAC syrup. How many ml of promethazine 50 mg/ml will you need? 21. A prescription is written for allopurinol liquid 20 mg/ml. How many tablets of allopurinol 100 mg are needed to prepare 100 ml? 22. You need to prepare 50 ml of captopril 1 mg/ml suspension. How many tablets of captopril 50 mg/tablet will you need? 23. You need to prepare 45 ml of baclofen 10 mg/ml. How many tablets of baclofen 10 mg/tablet will you need? 24. You need to prepare 15 ml of amiptriptyline 20 mg/ml suspension. How many tablets of amitriptyline 50 mg/tablet will you need? 25. You need to prepare 90 ml of hydrochlorothiazide 10 mg/ml. How many tablets of hydrochlorothiazide 25 mg/tablet will you need? Page 5

6 Use the following to answer questions 26-31: Calculate days supply for the following prescriptions: 26. If a prescription is written for ibuprofen 600 mg, i tab q.i.d., what is the maximum quantity allowed if the third-party plan has a 21-day dispensing limitation? 27. Atenolol 50 mg #100 One daily days 28. Amoxicillin 250 mg #30 One q8h days 29. Lisinopril 10 mg #30 One daily days 30. Hydrochlorothiazide 25 mg #30 One daily days Page 6

7 31. Furosemide Oral 20 mg po #25 One daily days 32. A powdered drug is available in vials containing 35 mg of the drug. The reconstitution instructions indicate to add 6.2 ml of sterile water for injection to obtain a concentration of 5 mg/ml. a. What is the powder volume of the drug? b. How many ml of the reconstituted drug are needed for a 2.5 mg dose in 50 ml NS? ml of sterile water for injection is added to a 1.5 mg vial of a powdered drug with a powder volume of 0.2 ml. What is the concentration in mg/ml of the solution obtained? 34. A vial contains two different drugs: Medication A, 3.5 mg; and Medication B, 35 mg. The two drugs together have a powder volume of 0.5 ml. What is the concentration of each medication if 3 ml of sterile water for injection is added to the vial? 35. What is the powder volume of 40 g of a drug if after adding 89.6 ml of sterile water for injection the concentration obtained is 400 mg/ml? Page 7

8 36. A physician has ordered a loading dose of 600 mg in 50 ml of normal saline. The powder volume of the drug ordered is 0.9 ml. a. How many ml of sterile water for injection must be added to the 5 g vial of drug to obtain a concentration of 250 mg/ml? b. How many ml of the reconstituted solution are needed for the patient's dose? 37. A 9 g vial of powdered medication is reconstituted with sterile water for injection to a concentration of 300 mg/ml. How many ml of SWFI should be added if the powder volume of the drug is 1.3 ml? 38. What is the concentration in g/ml of 35 g of a drug with a powder volume of 4 ml if 31 ml of sterile water for injection are added to the vial? 39. A patient requires 250 mcg of a medication in 50 ml of D5W. A 4 mg vial of the medication has a powder volume of 0.1 ml 3.9 ml of sterile water for injection is added to the vial. a. What is the final concentration of the reconstituted solution? b. How many ml does the patient need? 40. A 1.5 g vial of Unasyn contains two drugs: 1 g ampicillin and 0.5 g of sulbactam. The powder volume of the Unasyn is 0.8 ml. The label instructions indicate that 3.2 ml of SWFI should be used to reconstitute the drug. What is the concentration of each of the drugs? Page 8

9 41. A drug concentration of 250 mg/ml is needed. The powdered drug is available in a 10 g vial with a powder volume of 2.4 ml. How many ml of sterile water for injection should be added to the vial to obtain the needed concentration? 42. A physician orders for a patient 8 MU of a drug in 100 ml of 0.9% sodium chloride solution. The drug is available as a 20 MU powder for reconstitution with sterile water for injection. The instructions are to add 32 ml of SWFI to obtain a concentration of 500,000 units/ml. (Hint: 8 MU is an abbreviation for 8 million units.) a. What is the powder volume of the drug? b. How many ml of the reconstituted solution will the patient need? 43. If 7.2 ml of SWFI are added to 16 g of powdered medication with a powder volume of 0.8 ml, what is the final concentration in g/ml of the reconstituted solution? 44. Clonidine injection is available as 10 ml vials containing 100 mcg/ml. A patient order is for 0.2 mg daily in 2 equal doses. How many ml will be needed for each dose? 45. A patient is given 10.8 ml of phenytoin as a loading dose. Phenytoin is available as 50 mg per ml in 2 ml and 5 ml vials. What is the dose in mg that the patient received? Page 9

10 46. A medication is available as a 2.5 mg/ml injection. A patient needs a 4 mg slow IV push. How many ml are used? 47. A drug is available as 120 mcg/0.6 ml. The dose required is 100 mcg per day. How many ml will be drawn? 48. A patient needs 11 million units of a drug in a single dose. The drug is available as 6 million units per ml in a 3 ml vial. How many ml will the patient receive? 49. A patient requires 30 units of oxytocin by IV infusion in 1,000 ml of fluid. Oxytocin is available as 10 units per ml. How many ml will the patient need? 50. A patient needs a 1 g dose of a drug. The drug is available in a 2.5 ml vial, concentration 400 mg/ml. How many ml does the patient need? 51. A 500 ml TPN needs the addition of 33 meq of sodium chloride. The label on the vial of concentrated sodium chloride injection has the following information: 30 ml single dose, 234 mg/ml, 4 meq/ml, and 23.4%. How many ml should be added to the TPN bag? (Hint: meq means milliequivalent) Page 10

11 52. Digoxin injection is available in a concentration of 0.5 mg in a 2 ml vial. The physician orders a 150 mcg dose in 150 ml of D5W. How many ml will the patient need? 53. Tobramycin injection is available in a concentration of 80 mg per 2 ml. The patient received 1.5 ml in 100 ml of normal saline. What was the dose in mg that the patient received? 54. Humulin R 78 units are to be added to a 1 liter TPN. The 10 ml vial of Humulin R contains 100 units/ml. How many ml are required? 55. A 64-pound child is to receive 300 mg/kg/day divided into 4 equal doses. The concentration of the drug solution available is 500 mg per ml. How many ml will the child receive for each dose? 56. A physician writes an order for a 52-pound child for 400,000 units/kg/day in divided doses every 6 hours. Each dose is administered in a 50 ml bag of D5W IVPB. The drug is available as 500,000 units per ml. How many ml will be used in each IVPB? Page 11

12 57. A patient, weighing 80 pounds, is ordered phenobarbital 5 mg/kg at bedtime. The phenobarbital injection solution is available in 1 ml vials with a concentration of 65 mg/ml. How many ml will the patient need for this dose? 58. An order is received in the pharmacy for a 172-pound patient for an IV infusion of 5 mcg/kg/day in 100 ml NS. The ordered drug is available in a concentration of 300 mcg/ml in 1 ml or 1.6 ml vials. How many ml will the patient receive per day? 59. A physician orders a 375 mg/m 2 dose of Rituxan in 500 ml NS for a patient with a BSA of 1.24 m 2. Rituxan is available in 10 ml vials in a concentration of 10 mg/ml. How many ml will be added to the IV bag? 60. Cyclophosphamide, after reconstitution, has a concentration of 20 mg/ml. The patient, who weighs 67 kg and is 155 cm tall, is ordered cyclophosphamide 600 mg/m 2 in 250 ml NS. How many ml will be added to the bag? 61. Doxorubicin, after reconstitution, is available as a 2 mg/ml solution. The physician orders a syringe for IV push at a dose of 35 mg/m 2. The patient has a BSA of 1.2 m 2. How many ml are drawn into the syringe? Page 12

13 62. A patient order is for 1,000 ml to be infused over 75 minutes. What is the rate of infusion in ml/hr? 63. The infusion rate for 50 ml of D5W containing 3.5 g of an antibiotic is 200 ml/hr. What is the infusion rate in drops/min if the IV set is calibrated at 10 drops/ml? 64. A 500 ml IV bag of Lactated Ringer's is to be infused at 100 ml/hr. How many 500 ml bags will be needed for 24 hours? 65. A 250 ml bag of D5W is to be infused at 40 drops/min. The IV set drop factor is 60 drops/ml. The IV is started at 6 a.m. When will the next bag be needed? Page 13

14 Answer Key packages bottles 6. 7 packages 7. 4 ml or 1 1/2 teaspoons 9. 1 teaspoon mg 11. 1/4 teaspoonful gal (i.e., 5 gallons must be ordered) degrees Fahrenheit degrees Celsius degrees Celsius degrees Celsius capsules ml tablets tablet tablets tablets tablets a. 0.8 ml b. 0.5 ml mg/ml 34. A 1 mg/ml; B 10 mg/ml ml 36. a ml b. 2.4 ml ml g/ml 39. a. 1 mg/ml b ml Page 14

15 40. Ampicillin 250 mg/ml Sulbactam 125 mg/ml ml 42. a. 8 ml b. 16 ml g/ml ml mg ml ml ml ml ml ml ml mg ml ml ml ml ml ml ml ml ml/hr drops/min bags :15 p.m. Page 15