This page is on Pharmacy Technician Math. To ask or answer a question, scroll down the page to the Question and Answer section.
When you are working in a pharmacy there are some basic math calculations that you will use every day.
It's important to have a solid understanding of these calculations, to ensure that you can accurately translate the amount of medication that is prescribed into a usable form for the patient.
The most common calculation will happen when the amount of medication prescribed does not exactly match an amount in a dosage form.
For example, if a prescription calls for the patient to take 3 grams of medication daily. The only pills you have available are 500 milligram capsules.
To convert the prescribed dosage to milligrams, multiply grams by 1000. This means the prescription calls for 3000 milligrams daily, or six 500 milligram capsules.
The key to being able to do these pharmacy technician math calculations quickly is in being able to understand the important information that is on the prescription.
Information for tablets and capsules lists the amount or dosage of medication per unit, liquid medications are listed in medication per volume of liquid, and injectable solutions are listed as medication per volume injected. Side note: to learn more about the differences between tablets, capsules, liquid medications, and injectable solutions, see Pharmacy Dosage Forms.
The prescription will list a total amount of medication. So just like in the example above, the first step is to convert the amounts of medication to the same unit of measurement.
Milligrams to grams or vice verse will be the most common conversion. And it's easy to remember that 1 gram is equal to 1000 milligrams.
The most common systems of measurement you'll encounter will be Metric, American Standard, and the apothecaries' system.
It can also help to carry a pocket reference guide that has conversion information listed. This will make it easy to ensure you know the correct conversion to use.
It's also important to understand how to work with Fractions and Decimals.
Not every dosage conversion will work out easily with whole numbers, so it's good to be comfortable working with fractions and decimals.
To convert between the two forms, simply use a calculator to divide the top number by the bottom number. Five-eighths for example, you would enter 5 divided by 8. This returns .625, which is the correct decimal form for five-eighths.
Ratios and concentrations will also be an important part of the daily math used in a pharmacy.
For example, if a solution is 20% medication by volume, you need to understand how much medication is delivered in a 50 milliliter injection. In this case, 20% of 50 is 10, so the amount of medication in that dose would be 10 milliliters. Click here for more on IV Infusion Calculations.
The last main use of math in the pharmacy is to calculate days supply. Days supply refers to the number of days the physician wants the patient to take the medication.
A common default is a 30 day supply. This means you need to ensure they have enough individual daily doses to last for 30 days total. If they need to take four tablets every day, then the 30 day supply would be 120 tablets total.
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Days Supply Question on Rynex PE: 1/4 to 1/2 tsp po q4-6h prn cold symptoms
Rynex PE
1/4 to 1/2 tsp po q4-6h prn cold symptoms #6oz
What is the day supply?
What is the dispensed quantity?
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How many 500mg metronidazole tablets will be needed to compound the following prescription for a patient:
metronidazole 3%,
suspending agent 30%, …
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A hypertonic 3% sodium chloride solution in 100 mL of 0.9% normal saline is required. How many mL of sodium chloride 23.4 % is required to be added?
IV Question on Nitroprusside 50mg in 250ml of D5W
Medication:
Nitroprusside 50mg in 250mL D5W
Dose: 5mcg/kg/min
Patient weight: 143lb
A: How many milliliters per hour?
B: How many milligrams …
Convert 418MG to Grams Using the Ratio-Proportion Method
Convert the following units by using the ratio-proportion method.
418 mg = _____ g
Liquid Concentration Pharmacy Math Question
A prescription calls for 100 mg of a drug that you have in a 250 mg/5 ml concentration. How many ml of the liquid do you need?
Please Translate This SIG Into What The Directions On The Label Will Be
keflex 250mg per 5ml
1/2 tsp po qid x 10 days
What Should Be the Directions On The Label: Keflex 1/2 tsp qid x10 days
keflex 250mg per 5ml
1/2 tsp qid x 10 days
How Many MLs of Diluent Needed in this Question?
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Percentage Strength Volume in Volume Dilution Pharmacy Math Question
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Proportion Pharmacy Math Question using 70% Dextrose and Tic-Tac-Toe Board
You need 50 mL of 5% dextrose for a patient. You have 70% dextrose 1000 mL on hand. How much concentrate will you need? How much diluent?
Ratio/Concentration: 983mg in 250ml bag - 783mg is needed, how much volume do I remove?
I have 983mg in a 250 ml bag I need 783mg how much volume do I remove?
ratio, stock, stock solution
How much of a 1:1000 stock is needed to make 360 ml of a 1:2400 solution?
How much of a 1:1000 stock is needed to make a 360ml of a 1:2400 solution?
How much of a 1:1000 stock is needed to make 360 ml of a 1:2400 solution?
Also, how much water is required?
Motrin Elixir 160mg/5ml - Calculate the Correct Volume and Liquid Dosage
Motrin elixir 160mg/5ml
Sig:320mg PRN
Dispense 4oz
How many ml will the patient take in one day
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Electrolyte Solution DILUTION/Percentage Strength Question
you have 200ml of a 30% solution. You dilute the solution to 600ml. What is the percent strength of the final solution?
Day Supply: Take 1 tab TID #100
Take 1 tab tid dispense #100
Refills 2
How many milligrams of sodium chloride are in a 250ml bag of 0.9% NaCl?
How many mg of sodium chloride are contained in a 250ml bag of 0.9% NaCl?
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A pharmacist needs to compound an IV which is 8% w/v dextrose in water. How many cc of pure sterile water should she add to 500cc of D10W to make the IV? …
How Do I Calculate Days Supply in These Questions?
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5ml to 10ml q6h prn pain
Calculate the days supply.
2.)Ibuprofen 600mg tabs
i po QID
Calculate the …
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The usual dose of Digoxin for rapid digitalization is a total of 1.0 mg divided into 2 or more doses at intervals of 6 to 8 hours. How many milliliters …
Vancomycin IV in D5W 250ML Question
Vancomycin IV 750 mg every bid in D5W 250 ML. YOU HAVE VANCOMYCIN 1 g per 20-ml vial. How much will you take from the 1-g vial?
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How many cc of 1:20 solution is needed to obtain a dose of 500mg? (w/v)
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3 pints = how many fluid ounces?
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Prepare 15 mL of a 50 mg/mL cefazolin dilution from a stock of 1 g/5 mL. How many milliliters of diluent and stock solution will be needed?
I am having …
IV Question on Concentration of Solution of Nipride 50 mg
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I went by the formula they had in the book but I'm not coming …
Days Supply Question: Amoxil 250mg/5ml: 1 TSP TID X10 Days
what is the appropriate quantity to dispense? Amoxil 250 mg/5 ml - 1 tsp 3 times a day for 10 days
Intermittent IV Drug Volume Control Set Infusion Pharmacy Math Problem
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on hand: Medication …
Quinidine Dose Calculated by Weight/Conversion & Days Supply Question
Quinidine for an adult patient weighing 110 lb. at a dosage of 25 mg/kg/day q6h. How many mg should the dose contain?
Quinidine is supplied …
Alligations: A Question about 1/3 Normal Saline Solution and Sterile Water for Injection
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How many grams of Antipyrine should be used in this Pharmacy Math Problem?
Rx:
Antipyrine 5%
Glycerin ad 60 ml
Sig: gtt v in right ear tid
How many grams of antipyrine should be used in preparing the prescription?
Days Supply Question - Warfarin 5mg - 1 tab po qd except Mon. and Fri., Take 1/2 tab po on Mon & Fri
How do you calculate the days supply for a Coumadin rx?
For example:
Coumadin 5mg
Sig: Take 1 po qd except mon. & fri. take 1/2 tab. #30
1/3 NS prepared from 23.4% NS: How much mL of NS and SWI?
A liter of 1/3 NS is to be prepared from 23.4% concentrated sodium chloride solution and sterile water for injection. How many mL of each are to be used? …
IV Compounding Math Question: How is a Tic Tac Toe Board Used In This Example?
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How much Ferrous Sulfate 220mg/5mg equals Ferrous Sulfate 500mg?
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Potassium Chloride 0.6% Solution Ratio Question
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Victoza Quantity for 90 Days?
IF I AM DISPENSING 0.8ML OF VICTOZA DAILY. WHAT IS QUANTITY FOR 90 DAYS
Volume/Volume Compounding - Solution Alligation Question
Prepare 480mL of a 1:30 solution using a 1:10 solution and a 1:50 solution. How many mL of each solution is needed?
Amoxicillin Question: 500mg every 8 hours for 7 days as directed
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Dr. orders Lasix 20mg. On the shelf, the tech has 10mg tablets. How many will you give for a single dose?
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A physician wants 1.5L of kcl 15% from a stock solution that is 20% kcl. How many ml of stock solution is needed?
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I am asked to dilute a vial of powder- c to 330mg/ml concentration. The patient needs a 600mg dose. How many mls will make up each dose?
IV Vancomycin 750mg BID in D5W 250mL. How much to withdraw from vial?
Could you help with this:
Make a vancomycin IV 750 mg every bid in D5W 250mL. You have vancomycin 1 g per 20 mL. How much will you take from the 1-g …
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A pharmacist asks you to compound 1 Liter of Dextrose 30%. You have on hand Dextrose 70%, and Dextrose 5%. How many ml of each must be used to compound …
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What is the day supply for Amoxicillin 125mg/5 ml (100ml) SIG: ss tsp TID?
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ORDER:TETRACYCLINE ELIXIR QID FOR A CHILD WEIGHING 50LB AT A DOSAGE OF 8MG/KG/DAY IN EQUALLY DIVIDED DOSES.
HOW MANY MG WOULD ONE DOSE CONTAIN?
TETRACYCLINE …
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What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose?
What ratio of 25% Dextrose and 10% Dextrose should be mixed to make a 20% Dextrose solution?
Coumadin 7.5mg: What is the Dosage with Coumadin 5mg Tablets?
I have an order for Coumadin 7.5 mg po qd and I have a supply of Coumadin 5mg tablets. What is the dosage??
Answer:
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Atrovent Inhalation Solution 0.02% 2.5ml Vials: What is the Qty for a 34 Days Supply? Not rated yet
Atrovent Inhalation solution 0.02%;
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10 boxes 1 vial q.i.d
2 refills
34 days supply third party plan cover
Qty___? ; …
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How Do We KNOW Not rated yet
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I've converted …
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Answer:
In ratio concentrations, the …
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pharmacy math Not rated yet
How many g of potassium permanganate is needed to prepare 240 ml of a solution so that 15 ml diluted to 480 ml makes a 1:2000 solution?
pharmacy math Not rated yet
How many g of potassium permanganate is needed to prepare 240 ml of a solution so that 15 ml diluted to 480 ml makes a 1:2000 solution?
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Humulin 70/30 Days Supply Question Not rated yet
humulin 70/30,
Inject 17u every morning and 25u every afternoon at lunch and 35u in the evening
prescribe #4 vials
solve for dispensed
day supply
Pharmacy Technician Student Not rated yet
Using dimensional analysis how do you solve the following problem:
Order: Tylenol gr v q4d prn for fever and aching medicine available Tylenol elixir …
apothecaries Not rated yet
Prepare 15 mL of a 50 mg/mL cefazolin dilution from a stock of 1 g/5 mL. How many milliliters of diluent and stock solution will be needed?
compound problem Not rated yet
How much talc is needed for an order for 120 gm of the following compound:
Nupercainal oint 4%
zinc oxide 20%
talc 2%
How Many Bottles of Cleocin Reconstitutable Suspension Should be Dispensed? Not rated yet
Cleocin suspension, 150 mg tid for ten days. This suspension is only available in a concentration of 75mg/5ml, and the only available quantity is 100 ml …
Pharmacy Technician Student Not rated yet
Atrovent Inhalation Solution 0.02%
2.5ml x 25 vials dispense 10 boxes
1 vial q.i.d
2 refills
_______qty ________refills ______________partial …
Tech in training Not rated yet
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Liquid Medication / Fluidgram Concentration Question Not rated yet
You have 2 fluid ounces of a medication with with a concentration of 0.25g/fluidgram. How many milligrams do you have?
Calculation Not rated yet
I'm trying to calculate the retail price. awp/30 $125.15 Only need 8.
Answer: Divide $125.15 by 30 to get the price per pill ($4.18 rounding up), then …
compounding Not rated yet
A prescription for 120 mL of Formaldehyde 8% with rose is brought into the pharmacy. The pharmacy has on hand Formaldehyde 37% and Formaldehyde 4% with …
Pharmacy techinician in training Not rated yet
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How many grams of 2% silver nitrate ointment will deliver 1g of the active ingredient?
Penicillin G Potassium IV Administered over 24 Hours Question Not rated yet
They give
penicillin G potassium
250,000 U/kg/day up to 20,000 U
patient weighs 160lbs
iv administered over 24hr
20000000 U/L
and the question …
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