# Math Questions Forum

for pharmacy technicians

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This is a forum primarily for

**Pharmacy Technician Students**.

## Open Math Questions - Please Help Answer

Click below to see questions from other visitors to this site.

**How many tablets to dispense**

Rx is written "ii tab bid x 7, i tab bid x 10, i tab qd thereafter, #100." Patient insurance company will cover a 30 day supply. How many tablets would …

**Suspension dosage**

I need to take 60 gm over 90 days
Have a suspension that is 2mg/ml. 240mg/ 120ml bottle
How much do I need to take to accomplish the 60 gm amount …

**Tetra susupension**

Prescriptions reads:
Tetracycline susp 125mg/5ml #50mL
If compounded from capsules and a mixture of 50% oraplus and 50% orasweet, how many 250mg Tetracycline …

**Flow and drops **

Rantidine is infused in a 0.5L bag 1/2 NS for an ulcer treatment. It runs at 30gtt/min with the infusion device set to deliver 16gtt/mL. How long will …

**Math**

Amoxicillin is to be administered from a multiple dose container. After water is added for reconstitution, the well shaken oral suspension will yield …

**Cytoxan® (cyclophosphamide)**

A physician is prescribing Cytoxan® tablets. The patient is to take one dose daily for 14 days. The recommended dose is 2.5mg/kg daily in the morning. …

**calculate flow rate?**

An IV has been ordered to run for 4 hours at 10 gtt/min with a drop factor of 20 gtt/ml. The solution in the bag is 750 mg in 0.5L D5NS. How much active …

**Average Wholesale Price (AWP)**

The AWP for each 150mg tab is $96.29. The prescription calls for 90 day supply. The pricing arrangement is AWP minus 18%, plus a $2.45 dispensing fee per …

**find diluent**

A pharmacy technician receives a prescription to make 4oz of a 10% solution and has a 25% stock solution on hand. How much diluent will be added to fill …

**Compounded Prescription**

The pharmacist has weighed 15g of coal tar and given it to a technician with instructions to compound as much 1% ointment as possible. What will be the …

**Concentration Practice Question**

How much 1% lidocaine is needed to fill an order for 30 mg of lildocaine?

**Combining different solution strengths**

While organizing stock, the pharmacy manager finds 3 different bottles of isopropyl alcohol. She asks you to measure, consolidate, and re-label them into …

**Cancelling factors**

8 Grams of a drug was used to prepare 2.5 pounds of a medication cream. How many milligrams of drug are in each ounce of cream?

**Math question from PTCB practice test**

For an Iv solution to be isotonic, it must have a similar concentration of sodium chloride found in normal body cells. which of the following concentrations …

**Allegation Medial**

Example problem in the book:
Prepare 1/2 L solution of 70% alcohol from 50% alcohol and 95% alcohol
500ml x .7 = 350g
Here is the part I don't …

**Pharmacy Percentage Calculation**

The customer’s total at the cash register comes to $15.84. She asks you to ring 20% of her bill as cash and the rest charge to her credit card. How much …

**Pharmacology**

A patient presents to your pharmacy with the following prescriptions:
Scenario Regarding Levothyroxine Rx:
1. When you enter levothyroxine into …

**IV Calculation **

A prescription is ordered which requires 10 mEg KCI and 15 mEq of K Acetate in 1000 mL D5W to be administered over 8 hours. What is the rate in mL/min? …

**Bioavailability comparison**

If 5ml of an elixir containing 5mg/ml of a drug is bioequivalent to a 30mg tablet having a bioavailability factor of 0.70, what is the bioavailability …

**suspension calculation**

A 4 year old boy is given a prescription for amoxicillin 75mg orally 3 times per day. The concentration of the suspension on hand is 125mg/5ml. How many …

**Compounding Quantity Needed**

A custom preparation batch calls for a several liters of 8% alcohol solution. The pharmacy manager has asked you to check and calculate how much 8% can …

**Calcuate % mass of each ingredient **

each capsule of Excedrin migraine contains 250mg of acetaminophen, 250 mg of ASA, 65mg caffeine. If the capsule has an average mass of 0.676g. calculate …

**Lantus Solostar**

Dr orders Lantus Solostar pens 75 units daily. How much do you dispense for a 90 day supply

**How many pills**

2.5mg warfarin pill the directions say you give 2.0mg pill Monday Tuesday and Wednesday and 0.5mg on Thursday Friday Saturday Sunday for four weeks twice …

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**Multiplication problem!**

how many grams of digoxin would be required to make 25000 tablets each containing 250 mcg?

**Antibiotics regimen order**

You receive a prescription for amoxicillin 100 mg QID X10 days. In stock, you have 250mg/5ml formula. How many ml do you need to dispense for this prescription …

**Compounding dosage calculation **

Penicillin comes in powder form that must be dissolved prior to use. A vial containing 20 million units of penicillin can be reconstituted with 32.4mL …

**IV ad mixture Question**

An IV ad mixture calls for the addition of 20 mEq of sodium bicarb. How many milliliters of an 8.4% (w/v) sodium bicarbonate solution should be added?

**Proportion math example**

If a solution contains 50mg/5mL of active drug, how many mgs are contained in 1 tablespoon?

**IV dosage question **

A nurse has increased a lidocaine infusion of 2g in 250 mL D5W to 30 mL / hr to control the patient's dysrhythmia. How many milligrams per minute should …

**dosage question**

A child is prescribed 1 fl. dram of Anti-tussive syrup, Q.I.D., PRN. The child's father wants to know how many teaspoons should be given for each dose. …

**pharm question **

You have 50 mg of medication in 500 mL of normal saline solution. What is the concentration, in milligrams per milliliter, of the solution? (Calculate …

**reducing errors**

A 2 year old child is admitted with fever and respiratory distress. The patient weights 28 pounds. The physician orders Prednisolone 2mg/kg/day x10D. Prednisolone …

**Pharmacology Qestion**

A patient undergoing sinus surgery has a preoperative piggyback of cefazolin ordered. 500 mg of the drug is dissolved in 50 mL of IV solution. The powdered …

**Cancellation factor **

10 grams of drug were used to make a 1lb jar of ointment. How many milligrams of drug are in each ounce?

**PTCB math help **

The usual dose of sulfisoxazole for infants over 2 months of age and children is 60 to 75mg/kg of body weight what would be the usual range for a child …

**Drug dosage math**

amoxicillin 125mg/5ml sig 1/2 tsp tid x 10 days qs. What package size would you dispense? (please explain in detail)

**Cost for a month supply**

The drug diltiazem is available as follows:
- 60mg tabs taken q.i.d.($63.00/100)
- 120mg sustained-release caps taken b.i.d. ($110.00/100)
- 240mg …

**Pledget preparation**

I have a eye solution to compound using 4.2 mL 1 % cyclopentolate ( container size is 5mL) 4.2mL 0.1% Diclofenac sodium (container size is 5mL) 2.8mL Gatifloxacin …

**Compound cream Calculation**

A patient with a skin condition has been prescribed a custom cream, which will contain 0.5% neomycin. If the order calls for 30 grams of the cream, how …

**Pharmacy business math**

A pharmacy has an inventory value of $145,000. Sales are $45,000 per week with product costs of $36,000. The goal is to have the days' supply at 25 days. …

**Nasal Spray calculation of quantity**

Fluticasone Propionate nasal spray 50 MCG. Directions say, use two sprays in each nostril once daily for 30 days.There are 50mcg per spray. Therefore, …

**Compounding pharmacy math**

You have been asked to compound 30 g of a 10% w/w zinc oxide cream. You have a 40% w/w zinc oxide cream in stock. How much stock cream will you dilute …

**Insulin dosage math**

Humulin N 100 units/ml
The patient has a prescription that reads:
Rx:
10units QAM and 15 units QPM.
How many days will one vial last?

**Prescription Bottle Volume**

a patient has received a bottle containing 200 ml of a liquid medication. the patient is to take 5 teaspoons of the medication per day. how many days will …

**Pharmacy mixture math**

The order is 120mg.The oral liquid dosage strength is 100mg/5ml.Calculate the ml to be given for this dosage. Round answer to the nearest tenth

**Prepare mixture from stock solutions**

Prepare the following admixture from your stock solutions of lidocaine 20% and furosemide 10 mg/ml. How much of each drug will be added to the IV bag …

**Eye Drops**

For a patient with conjunctivitis:
Rx: Ciloxan 3 mg/ml
sig: ii gtts OU q4h
What percentage strength opthalmic solution should be dispensed? And what …

**Pharmacy Business Math**

while picking up a prescription at your pharmacy, a customer decides to also buy a Snuggie® for $19.99 and today it's 20% off. The prescription has a co-pay …

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**Codeine Dosage**

How many milligrams of codeine would be in a a tablespoon of a medication containing 0.36g of codeine in a 6-fluid-ounce bottle?

**Propranolol dosage for an infant**

The dose of oral propranolol for a neonate with an arrhythmia is 250-500 mcg/kg. It is available as an Inj solution (1mg/mL). The prescriber wants to give …

**Pharmacy Calc**

The bioavailability of digoxin in a 250 microgram tablet is 0.6 and the bioavailability of digoxin elixir 0.05 mg/mL is 0.75. What dose of the elixir is …

**Compounding math**

AN ORDER FOR 6 OZ OF CUSTOM COUGH SYRUP NEEDS TO BE COMPOUNDED. THE DIRECTIONS CALL FOR 45 ML OF 40%,ETHANOL ALCOHOL. AFTER THIS ORDER IS FULLY MIXED, …

**Calculations involving specific gravity**

A prescription is written for 60 g of zinc oxide ointment, USP. If the formula for zinc oxide ointment, USP is as follows: 200 g of zinc oxide powder, …

**Pharmacy Business Math**

What is the gross profit of a medication that has a dispensing fee of $6, an acquisition cost of $20, an AWP of $25 and sells for $35

**Having trouble converting grains.**

Good morning, this is my question, a drug is available as 1.2 g/fl. ounce. If you prepare a dose of 300 mg. How many fluid drams will you need? please …

**Hydrocortisone Compound**

30 grams hydrocortisone 2.5% ointment is combined with 15 grams of hydrocortisone 1% ointment. What is the percentage of hydrocortisone in the final product? …

**Tablet amount**

Patient needs to take 1/2 tablet TID for one month. How many tablet does the technician distribute?

**Pharmacy Mixture Calculations**

30 grams of hydrocortisone 2.5% ointment is combined with 15 grams of hydrocortisone 1% ointment. What is the percentage of hydrocortisone in the final …

**The physician has written a script for a patient.**

It reads: Hydrocodone/Acetaminophen 5mg/500mg, i-ii tabs q6h prn #60. What is the days supply calculated for this script?

**Tamiflu Dosage**

For children 23-40 kg, the does of Tamiflu is 60 mg b.i.d . for 5 days and for children 15-23 kg is 45 mg b.i.d for 5 days .
What is the does for a child …

**Weight and volume conversions**

Hello,
I am in my second semester of the Pharmacy Tech program and just starting the compounding class. I am a little confused at learning the conversions …

**Pharmacy Math Alligation**

If a physician orders 25% dextrose,1000ml and all you have is 70% dextrose 1000 ml,how much 70% dextrose and how much sterile will be used ?

**Prescription Calculation**

A prescribed drug is available as a 20% solution.
The patient weights 97lbs, and has been ordered to take 40mg/kg q6h x 10 days. If the solution is packaged …

**PTCB Mixture Math**

To treat a dermal condition, a patient has been prescribed 600mL of a potassium permanganate solution. In stock, you have 30mg Kmno4 tablets. How many …

**IV Dosage Calculation Question**

A physician orders an IV of cefaxolin (Ancef) 1g/50ml IVPB q6h. The infusion can be given in 20 minutes. What rate will you set on the IV pump(ml/min)? …

**pharmacy tech business math**

the cost of 100 tablets of a aspirin is $1.50. What would the dispensing charge be to yield a 50% gross profit.

**IV flow rate calculation question**

Rx Claforan 500mg/50ml IV 50mg/kg/dose the patient weighs 22lb. how many minute will take to administer the IV if the administration set is calibrated …

**Liquid Dosage Calculation**

A doctor orders Augmentin 250mg. Augmentin 150mg per 5mL is the only strength that the pharmacy has in stock. How many mL will be needed to administer …

**Dilution question**

How much doxepin 10 mg/ML concentrate should you dilute to prepare 240 ML of doxepin 25 mg/5mL?

**Phamacy dosage question**

Amoxicillin suspension 300 mg PO tid is ordered. The amoxicillin suspension that is available is labeled 400 mg / 2 ml. How much amoxicillin is required …

**Albuterol Prescription Dispensing**

Rx: Albuterol 2mg/5mL Disp: 120 mL Sig: 1.5 tsp po bid. How many milligrams of albuterol will be taken per day?

**Pharmacy Business math**

Patient pays $22 for a 10ml vial . If the pharmacy charged 32 percent Markup and $6.50 dispense fee. What was the pharmacy original cost?

**Concentration Problem**

A single use packet contains one gram of Drug S, as well as 8.4 grams of additional ingredients and sweetening agent. The directions are to dissolve the …

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**BSA math**

Rx: Platinol IV 20mg/m2/day for 5 days. If the patient's BSA is 1.25m2, how much of the drug must be drawn up for one dose if the concentration of the …

**teaspoon to mL conversion**

A patient was prescribed the following the following as part of asthma therapy :
Rx: Albuterol 2mg/5mL
Disp: 120 mL
Sig: 1.5 tsp po bid
Based on the …

**IV Preparation Calculation**

How many mLs of an aminophyllin solution (500 mg/20ml) is needed to prepare 425mg aminophyllin in 100ml d5w?

**Dilution Math**

how many ml of water should be mixed with 1200ml of 65% solution to make a 45% solution?

**Dilantin compounding**

A rx is written for Dilantin 5% in zinc oxide as 120g. How many Dilantin 50 mg tabs are needed to prepare this compound?

**Several Math Practice Questions**

1. How many grams of salicylic acid powder are needed to prepare 60 grams of a 25% w/w ointment if you have 100 grams of a 1% w/w ointment available to …

**PTCB Practice Question**

A prescription is written for a hydrocortisone 5% in zinc oxide compound. The total quantity to be dispensed is 50 g. On stock you have 50 mg of hydrocortisone …

**Fried's rule**

How do you use Fried's rule? I see Young's and Clark's on this site, but not the formula for fried's. Please let me know more about this dosage calculation. …

**alligation question**

A physician writes an order for 1000 ml of 12.5% dextrose to be infused at 75ml/hr. This large volume concentration is not available in the pharmacy, so …

**Gross profit**

A particular drug costs $1.50 for 100 tablets. What would the dispensing charge have to be to yield a 40% gross total profit?

**Clark's Rule**

"An 8 year old girl was prescribed a particular drug with an adult dosage of 2.75mg/kg. The recommended dosage for children 5-12 years old is 80% of the …

**IV Math question**

An IV has been ordered to run for 4 hours at 10gtt/min with a drop factor of 20ggt/ml. The solution in the bag is 750mg of active drug dissolved in 5L …

**Confusing math**

Dear Pharmacy Tech Test Staff;
I have a weakened grasp of the pharmacy tech calculations. Is their a recommended
workbook available anywhere that …

**PTCB practice test 19 question 7**

#7
A patient is receiving an infusion from a 500mL bag containing a 0.5% solution of drug S. The drop factor is calibrated at 12gtt/mL and the flow …

**IV Math Word Problems**

Could someone please explain the difference between "calibrated at ....gtt/ml" and "set at ....gtt/min, and how to interpret a question with these combinations. …

**Usual and Customary drug price**

the formula I was given is:
AWP + Professional fee = selling price of the prescription
ex: $3.50 + $4.00 = $7.50
here is the practice problem. …

**insulin prescription**

A prescription is written for humulin n u-100 insulin 10 ml, 40 units daily. What is the days supply?

**Codeine prescription**

How many milligrams of codeine would be in a tablespoonful of a medication containing 0.36g of codeine in a 6-fluid-ounce bottle?

**dosage calculation help**

A 32 year old patient was prescribed 300mcg/kg of a drug. According to their chart, they weigh 184lbs. The drug is available in 5mg tablets. How many tablets …

**Math Problem**

A 32 year old patient weights 165 Lbs, and has been prescribed a therapy of 2mg/kg t.i.d. X10d of a certain drug to be dispensed as a solution. In stock, …

**iv problem**

A patient is receiving an infusion from a 500 ml bag containing a 0.5% solution of drug solution.the drop factor is calibrated at 12 gtt/ml and the flow …

**weight-weight concentrations**

Zonalon cream contains 1.5g of doxepin HCI with 28.5g of a cream base. what is the concentration of zonalon?

**Children's Doses**

A child's dose for cefadroxil is 30mg/kg body weight once a day for 14 days. What is the smallest bottle that will provide enough medication to last 14 …

**IV Microdrop flow rate question.**

Please show how to calculate this IV problem:
The medication order is to administer dobutamine hydrochloride (Dobutrex) at 5.2 mcg/kg/min. The patient …

**IV Bolus Infusion**

Infuse 1000 mL of NS
The infusion set delivers 15 gtt/mL
Give 300mL bolus over 20 minutes and then infuse at the hourly rate of 60 mL/hr
What …

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**Furosemide**

Order: Furosemide (Lasix) 30 mg, PO, bid
Available: Furosemide 8 mg/mL
How many milliliters of furosemide will you give for a 10 day supply?

**Digitalizing dosage**

The recommended digitalizing dose of digoxin (Lanoxin) for a child younger than 2 years of age is 38 mcg/kg. The child weighs 25 pounds. The nurse has …

**D10W IV Drip question**

A patient was started on a drip of D10W from a 500 ml bag at 1400. The micro-drip (60gtt/ml) administration device was set to deliver 30gtt/min. If the …

**Prednisolone Syrup**

Rx: Prednisolone Syrup 0.30%
Sig: 15mg qd ac X7 days.
What will the dosage instructions be on the patients packaging?

**Amoxicillin Suspension**

Rx: Amoxicillin susp
Sig: 450mg po tid 7 days
The instructions on the dry powder vial state: reconstitute with 51 mL of purified water for a concentration …

**please do answer this question. Thanks**

Ampicillin 2g was reconstituted with 8 mLs of swi.
1. How much normal saline must you add to get 20 mg/mL concentration?
2. What would the total …

**Testosterone Injection**

A physician wrote a prescription for testosterone cypionate 200 mg/mL solution with the instructions to inject 0.75 mL intramuscularly once every two weeks. …

**Prednisone Syrup Prescription**

I think the answer for PTCB Practice Test 12 Question #4 may be incorrect. Here is the question:
A patient with ulcerative colitis has been ordered …

**Concentration percentage math**

How many grams of 2.5% hydrocortisone cream should be mixed with 30 gram of 1% hydrocortisone cream to make 1.5% hydrocortisone cream?

**Epidural Infusion**

An anesthesiologist requests that we prepare Bupivicaine 0.0625% in NS 250ml for an epidural infusion. How would you make this infusion using the following …

**prescription compounding**

prepare 8 mL of hydrocortisone solution with a concentration of 5 mg/mL from 100mg/2mL stock. how many mL of the stock hydrocortisone are needed?

**Percents & Solutions**

You have a 70% dxtrose solution. Hom many grams in: 50ml of solution, 75ml of solution, and 20ml of solution? Please expain step by step how to get the …

**Dilution math question**

An order for 1.2L of a 10% oral solution is needed. In stock you have only 12% solution. Which of the following mixtures will yield the volume and strength …

**Ratio and proportion math**

On Free practice test #4, Question #8 - I need help with this question:
Two solutions are combined in a 3:1 ratio to make a custom compounded solution. …

**What strength of ophthalmic solution should be dispensed?**

For conjunctivitis, a patient was prescribed the following eye drops:
CILOXAN® 3 mg/mL
Sig: ii gtts OU q4h
What strength of ophthalmic solution …

**drop factor formula**

What is the formula for drop factor?
Reply: (by Jerry)
Keep in mind:
Drop Factor - (gtt/mL) - This varies depending on the tubing / IV equipment. …

**Compounding Math**

the order: 180g of a custom 2:3:4 topical ointment.
How much each ingredient is needed?

**Math formula for medication orders**

Took a test today and I completely forgot how to do the formulas for medication orders. (ex. Rx orders Tylenol/ per kilogram, etc.) I panicked on the formula …

**Pharmacy IV Math**

If 10mL of a nitroglycerin injection (containing 5mg per mL) was used to make 1L of IV fluid, what is the w/v% strength of nitro in the finished product? …

**Weight/weight concentration problem**

Cream V contains 13.9% eflornithine HCL. How many grams of active ingredient is contained in 30 grams of Cream V?

**Formula for Temperature Conversions**

Can you do an example of 5F = 9C + 160 ?
Reply: by Jerry
Absolutely, there's a whole tutorial about temperature conversions on THIS PAGE …

**Pharmacy IV drip calculation**

An IV has been ordered to run for 4 hours at 10gtt/min with a drop factor of 20 gtt/ml. The solution in the bag is 750mg of active drug dissolved in .5L …

**Pharmacy Math Dilution problem**

What volume in mL of syrup is needed to dilute 100 ml of Amoxicillin 20mg/5ml to a concentration of 2mg/mL ?

**Pharmacy business math**

Your wholesale cost for a drug is $360.00 for 500 tablets?. Your pharmacy charges a 32% mark-up and a dispensing fee of $5.25 per order. What is the full …

**Alligation Math**

How many grams of a 10 % and 1% ointment should be used to make 45grams of a 2% ointment?

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**Pharmacy IV Calculation Question**

A patient is receiving an infusion that started at 1400 hours. The bag used contained 500mL of 0.25% active drug diluted into 0.9% NaCl. The infusion …

**Alligation pharmacy math**

If a physician orders 500mL of 25% dextrose and you have 50% dextrose 1000ml, how much of the 50% dextrose and how much sterile water do you need?
…

**IV math for Pharmacy Tech Test**

A patient is receiving an infusion that started at 1400 hours. The bag used contained 500mL of 0.25% active drug in 0.9% NaCl. The infusion pump was set …

**Pharmacy Compounding Math Question**

The Jones' family dog has a parasitic infection. Their Veterinarian has called in an order for 150mL Metronidazole 3% oral susp . How many 500mg metronidazole …

**pharmacy math questions**

Drug M is available in 1g vials, with instructions to add 15.6 mL of sterile water to obtain a total volume of 16 mL. How many mL will be required for …

**pharmacy math question**

A patient needs IV infusion of 0.9% NaCl. You have a 1L Sterile Water For Injection bag and 4.5% w/v stock solution of NaCl. Considering that there are …

**Cleocin Suspension**

RX: Cleocin suspension 2tsp tid x14D
Cleocin suspension is available as:
150mg/5ml - 6 ounce bottles.
How many bottles do you need to dispense to …

**Pharmacy Flow rate question**

You have a solution of Drug H/100,000-U/L, and an infusion apparatus labeled 60gtt/ml. The flow rate required to deliver a dose of 20U/min would be: …

**Pharmacy Compounding math**

How many 100 mg Drug T capsules would be needed to compound the following prescription?
Rx: 1.5% Drug T, 10% glycerin, qs 500ml with Isopropyl alcohol. …

**Pharmacy Business Math**

In your pharmacy, performance metrics are constantly measured to evaluate the effectiveness of order prescription order processing.
What is the percentage …

**Formula (Pharmacy) Math**

You have a 15g vial of medication with instructions to add 34.9mL to have a concentration of 375mg/mL.
What is the powder volume in the vial?
…

**Insulin Calculation**

How many mL of U100 insulin will you need to add to a 1L bag of D7.5W so it contains 40 units of insulin?
A. 400.0mL
B. 40.00mL
C. 4.000mL
D. 00.40mL …

The **Pharmacy Tech Math** **Questions forum** is a place to ask for help and better understanding of questions challenging you. This site is designed to help people study for the PTCE, which is the Pharmacy Technician Certification Exam. As such, please ask questions related to the topic. Chemistry questions are welcome, as long as they are within the scope of pharmacy practice.

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