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Pharmacy Math
Term | Definition |
---|---|
Change the following Arabic number XIV | 14 |
Change the following Arabic number XXIV | 24 |
Change the following Arabic number LX | 60 |
Change the following Arabic number CXX | 120 |
Change the following Arabic number IX | 9 |
Convert each time to international or standard time 12:00 AM | 0000 |
Convert each time to international or standard time 11:11 AM | 1111 |
Convert each time to international or standard time 2101 | 9:01 PM |
Convert each time to international or standard time 2359 | 11.50 PM |
Convert each time to international or standard time 1417 | 2:17 PM |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 80 degrees C to F | 176 degrees F |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 72 degrees F to C | 22.2 degrees C |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 65 degrees C to F | 149 degrees F |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 32 degrees F to C | 0 degrees C |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 37 degrees C to F | 98.6 degrees F |
Convert to Fahrenheit or Celsius (F=(1.8xC) + 32) (C=(F-32/1.8)) 86 degrees F to C | 30 degrees C |
Convert the following fractions to decimals 1/2 | 0.5 |
Convert the following fractions to decimals 3/4 | 0.75 |
Convert the following fractions to decimals 2 1/2 | 2.5 |
Convert the following fractions to decimals 2/12 | 0.17 |
Convert the following fractions to decimals 9.5 | 1.8 |
Convert the following percentages to decimals 50% | 0.5 |
Convert the following percentages to decimals 12% | 0.12 |
Convert the following percentages to decimals 175% | 1.75 |
Convert the following percentages to decimals 2.5% | 0.025 |
Convert the following percentages to decimals 350% | 3.50 |
Solve the following proportions 2/10 = 4/x | x = 20 |
Solve the following proportions 4/40 = x/100 | x = 10 |
Solve the following proportions 55/82 = 35/x | x = 52.18 |
Solve the following proportions 250/500 = 750/x | x = 1500 |
Solve the following proportions 1/25 = 40/x | x = 1000 |
Use ratio/proportion or dimensional analysis to solve: Order: for metoprolol tartrate 100 mg tablet twice a day for 30 days. Stock: 50 mg tablets, How many tablets will it take to fill this 30-day supply? | 120 tablets |
Use ratio/proportion or dimensional analysis to solve Order: Augmentin 250 mg four times a day for 7 days Stock: 250 mg capsules. How many capsules are needed to fill this prescription? | 28 capsules |
Use ratio/proportion or dimensional analysis to solve, Determine one dose: Stock: 250-mg tabs; dose 125 mg, | give 1/2 tabs |
Use ratio/proportion or dimensional analysis to solve. Stock: 10-mg capsules; dose 30 mg; | give 3 caps |
Use ratio/proportion or dimensional analysis to solve; Stock: 4-mg tablets; dose 8 mg | give 2 tabs |
Use appropriate conversion: You receive a physician's order for 0.88 mcg of drug A. What is the equivalent in milligrams | 0.00088 mg |
Use appropriate conversion: You receive a physician's order for 5 g of drug B. What is the equivalent in kilograms? | 0.005 kg |
Use appropriate conversion: You receive an order for 250 mg of drug C. What is the equivalent in micrograms? | 250,000 mcg |
Use appropriate conversion: You receive a physician's order for 250 mg of drug D. What is the equivalent in grams? | 0.25g |
Use appropriate conversion: You receive a physician's order to prepare 0.5 kg of drug E. What is the equivalent in grams? | 500g |
Household Volume Conversions: 3 teaspoons = __ tbsp.= __ mL | 1 tablespoons = 15 mL |
Household Volume Conversions: 1 ounces = __ tbsp. = __ mL | 2 tablespoons = 30 mL |
Household Volume Conversions: 1 cup = __ ozs =__ mL | 8 ounces = 240 mL |
Household Volume Conversions: 1 pint = __ tbsp. = __ mL | 32 tablespoons = 480 mL |
Household Volume Conversions: 1 gallon = __ tsp = __ mL | 768 teaspoons = 3840 mL |
Household Volume Conversions: 40 ounces = __ tbsp. __ mL | 80 tablespoons = 1200 mL |
Household Volume Conversions: 32 ounces = ___cups=___ mL | 4 cups = 960 mL |
Apothecary System: NTG gr 1/100 = milligrams | 0.6 mg |
Apothecary System NTG gr 1/200 = milligrams | 0.3 mg |
Apothecary System codeine gr 1/2 = Milligrams | 30 mg |
Apothecary System aspirin gr x = Milligrams | 650 mg |
Apothecary System iron 325 mg = Grain | gr V |
Apothecary System acetaminophen 130 mg = Grain | gr ii |
Apothecary System 1 oz = ___ fluid drams | 8 fluid drams |
Apothecary System 1 Tbsp = ___ fluid drams | 4 fluid drams |
Dimensional Analysis Order: 25 mg; stock 10mg/mL = | give 2.5 mL |
Dimensional Analysis Order: 25 mg; stock: 40 mg/mL = | give 0.625 mL |
Dimensional Analysis Order: 0.66g; stock 1.5 g/mL = | give 0.4 mL |
Dimensional Analysis Order: 500 mg; stock 25 mg/mL = | give 20 mL |
Dimensional Analysis Order: 250 mg; stock 500 mg/5 mL = | give 1/2 teaspoon |
Dosing Using Body Weight; Dose Ordered; 125 mg/kg/dose (q24h). Patient Weighs 175 lb. How many g per dose? | 9.94 grams per dose |
Dosing Using Body Weight; Dose ordered: 55 mg/kg/day (q8h). Patient weighs 48 lb. How many mg per dose? | 400 mg per dose |
Dosing Using Body Weight: Dose ordered: 220 mg/kg/dose (q12h). Patient weighs 141 lb. How many g per day? | 28.2 grams per dose |
Dosing Using Body Weight; Dose ordered: 1.12 mg/kg/day (q6h). Patient weighs 98 lb. How many mg per dose? | 12.5 mg per dose |
Body Surface Area Patient: length 60 inches; weight 85 kg; BSA 1.8 m2; dose 200mg/m2 = | 360 mg |
Body Surface Area Patient: length 65 inches; weight 150 lb; BSA 1.8 m2; dose 2.5 g/m2 = | 4.5g |
Milliequivalents Order: 25 units; stock: 100 units/10 mL; give ___ mL | 2.5 mL |
Milliequivalents Order: 20,000 units; stock; 25,000 units/2 mL; give ____ mL | 1.6 mL |
Milliequivalents Order 30 mEq; stock 20-mEq tablets; give ____ tablets | 2 tablets |
Milliequivalents Order: add 45 mEq of KCI to an IV; stock: KCI 2 mEq/mL: add _____ mL | 22.5 mL |
Milliequivalents Order: 46 units Regular insulin: stock: Regular Insulin 100 units/mL; draw up ____ mL | 0.46 mL |
Infusion Rates and Drip Rates Order: 2-L TPN to run at 150 mL/hr. How many hours will this solution last? ____ hours | 13.3 Hours |
Infusion Rates and Drip Rates Order: 500 -mL solution to run over 24 hr. How many mL per hour? ____ mL/hr | 20.8 mL/hr |
Infusion Rates and Drip Rates Order: 1 L of NS to run at 100 mL/hr. How many hours will this solution last? ____ hours | 10 Hours |
Infusion Rates and Drip Rates Aminophylline 500 mg in 1000 mL over 24 hours. The drop factor is 20 gtt/mL a. How many mL would be delivered per hour? b. What is the flow rate in drops/min? | a. 41.7 mL/hr b. 14 gtt/ min |
Infusion Rates and Drip Rates Heparin 20,000 units in 1 L over 24 hours. The drop factor is 50 gtt/mL a. How many mL would be delivered per hour? b. What is the flow rate in drops/min? | a. 41.7 mL/hr b. 35 gtt/min |
Infusion Rates and Drip Rates How many drops per minute would a patient receive at 40 mL/hr using a 20 gtt/mL set? | 14 gtt/ min |
Infusion Rates and Drip Rates Order: 1500 mL of solution over 12 hr. The tubing size is 20 gtt/mL. a. How many drops per minute will be delivered? | a. 42 gtt/min |
Infusion Rates and Drip Rates Order 2.5 - L solution to run over 20 hr. The tubing size is 15 gtt/mL a. How many drops per minute will be delivered? | a. 32 gtt/min |
Calculate the strength in the following problems How many grams of amino acid are in 500 mL of 8.5%solution? | 42.5 grams |
Calculate the strength in the following problems 170 g of medication is dissolved in 1 L of water; what is the percentage strength of the solution formed/ | 17 % |
Calculate the strength in the following problems How many grams of dextrose are in 250 mL of a 5% solution? | 12.5 grams |
Calculate the strength in the following problems What is the ratio strength of a 20% solution? | 1:5 |
Calculate the strength in the following problems How many mg of drug are in 20 mL of a 1% solution | 200 mg |
Stock Volume/Weight Stock Percent = Desired volume/weight Desired percent SV * SP = DV * DP If 200 mL of a 20% (w/v) solution is diluted to 1 L, what will be the percentage strength (w/v)? | 4% |
SV * SP = DV * DP A pharmacist has weighed 3 g of coal tar (100 % strength) and given it to the technician to compound a 1% ointment. What will be the final weight of the correctly compounded prescription? | 300 grams |
SV * SP = DV * DP An order calls for 120 mL of 10% magnesium sulfate solution, and you have a 25% magnesium sulfate solution. How many milliliters of the 25% solution will you use? | 48 mL |
SV * SP = DV * DP You are to prepare 50 mL of a 1:100 rifampin suspension from a stock 1:20 rifampin suspension. How many milliliters of the 1:20 suspension will you need? | 10 mL |
SV * SP = DV * DP The pharmacist receives a prescription for 100 mL of a 30% hydrochloric acid solution. The pharmacy carries a 90% hydrochloric acid solution. How many milliliters of the concentrated solution are needed to fill the prescription? | 33.3 mL |
SV * SP = DV * DP A stock bottle of Lugol's solution contains 4 ounces from the original pint bottle. The technician is able to make four 8-ounce bottles of a more dilute 4% solution. What was the original percentage strength of Lugol's solution? | 32% |
Alligation Alternate Order: Prepare 500 mL of 20% KCI from your stock of 5% and 70% KCI. How many mL of each solution are needed? | 115 mL of 70%; 385 mL of 5% |
Alligation Alternate Order: Compound a 2.5% solution from a 10% stock solution and water for a total volume of 8 oz. How many mL of each solution do you need? Hint: Change 8 oz to mL first | 60 mL of 10%; 180 mL of water |
Calculate the dollar amount by using the following percentages $200 = _____ 25% ____50%_____75% | $50 $100 $150 |
Calculate the dollar amount by using the following percentages $956 = _____15%_____55%_____85% | $143.40 $525.80 $812.60 |
Calculate the dollar amount by using the following percentages $2,050 = _____20%______40%_____60% | $410.00 $820.00 $1230.00 |
Calculate the dollar amount by using the following percentages $10,449 = _____2.5%_____5.5%_____7.5% | $261.23 $574.70 $783.68 |
6.2% of a $2,100 bill will be given as a discount if the bill is paid before the 15th of the month. What is the savings to the pharmacy if the bill is paid early? | $130.20 |
The pharmacy's drug wholesaler will give a discount of 2% if the bill is paid within 1 week; calculate the final bill if the amount due is $6,544. | $6413.12 |
Your pharmacy received an order of 144 bottles; 25% of the bottles were damaged. How many damaged bottles are being returned? | 36 |
All new prescriptions are being given a 15% discount. What is the dollar amount lost by the pharmacy if all the new prescriptions for the day added up to $2,339. | $350.85 |
Your pharmacy has Neosporin ointment on sale at 15% off the price of $2.95 per tube. How much will the customer save? | $0.44 |
An order comes to the pharmacy with the following directions: D5W 250 mL with heparin 10,000 units IV at 500 units/hr | 12.5 mL/hr ( mL/hr = 250 mL / 10,000 units x 500 units/hr) |
An order cimetidine 300 mg tab qid x 30 days. In stock: cimetidine 150 mg tablets | 240 tablets ( 300 x 4 = 1200 mg x 30 = 36,000/ 150mg) |
An order tobramycin IV 60 mg in D5W 50 mL. In stock: tobramycin 40 mg/mL in 2-mL vials. How many milliliters are needed to fill the order? | 1.5 mL ( 60 mg / 40 mg) |