PTCB Practice Exam: Pharmaceutical Calculations, Exams of Advanced Education

A practice exam focused on pharmaceutical calculations, essential for pharmacy technician certification (ptcb). It includes a variety of calculation problems with detailed solutions, covering topics such as iv drip rates, dosage calculations, temperature conversions, and concentration calculations. This resource is designed to help students and professionals prepare for the math portion of the ptcb exam, enhancing their proficiency in pharmaceutical mathematics and ensuring accuracy in medication preparation and dispensing. It offers practical exercises to reinforce understanding and application of key concepts.

Typology: Exams

2025/2026

Available from 11/22/2025

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PTCB PRACTICE EXAM MATH 2026
If a physician writes an order for 400 mL of D5W to be infused over a 4-hour
time period, and the IV drop factor is 12 gtt/mL, how many drops per minute
should be delivered?
a. 12 gtt
b. 2 gtt
c. 1.67 gtt
d. 20 gtt - 20 gtt
First find the total number of minutes: 60 X 4 = 240. Then find mL/min: 400 /
240 = 1.67 ml infused in 1 minute. Then multiply this by the drop factor:
1.67 X 12 = 20 drops per minute.
A drug sells for $29.99 retail and has a wholesale cost of $19.74. The
dispensing cost is $3.20. What is the pharmacy's net profit?
A $10.25
B $29.99
C $3.20
D $7.05 - $7.05
Gross profit is selling price minus purchase price. For net profit you also need
to subtract the dispensing cost as well.
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PTCB PRACTICE EXAM MATH 2026

If a physician writes an order for 400 mL of D5W to be infused over a 4-hour time period, and the IV drop factor is 12 gtt/mL, how many drops per minute should be delivered? a. 12 gtt b. 2 gtt c. 1.67 gtt d. 20 gtt - 20 gtt First find the total number of minutes: 60 X 4 = 240. Then find mL/min: 400 / 240 = 1.67 ml infused in 1 minute. Then multiply this by the drop factor: 1.67 X 12 = 20 drops per minute. A drug sells for $29.99 retail and has a wholesale cost of $19.74. The dispensing cost is $3.20. What is the pharmacy's net profit? A $10. B $29. C $3. D $7.05 - $7. Gross profit is selling price minus purchase price. For net profit you also need to subtract the dispensing cost as well.

You are planning to prepare 600 mL of 20% dextrose solution, by mixing your 5% and 50% dextrose solution. How much of each solution will be needed? A 350 mL of the 50% and 250 mL of the 5% B 300 mL of the 50% and 100 mL of the 5% C 200 mL of the 50% and 400 mL of the 5% D 300 mL of the 50% and 300 mL of the 5% - 200 mL of the 50% and 400 mL of the 5% Seventy-four degrees Fahrenheit is equal to what temperature in Celsius? A 74. B 23. C 18. D 30.7 - 23. To convert from Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and then divide by 1.8. An order is written for 500 mL of NS to infuse at 40 gtt/min. How long would it take to infuse the NS if the set delivers 10 gtt/mL? A 40 minutes B 125 minutes C 50 minutes D 100 minutes - 125 minutes

A 101 mL/hr B 56 mL/hr C 83 mL/hr D 111 mL/hr - 111 mL/hr Divide the volume by the time to get the flow rate: 2 liters equals 2,000 mL. 2000/18 = 111.1 mL/hr Patient is to be given 90 mg dose of naproxen via suspension containing 25 mg of naproxen per 10 mL. How many mL must be administered? A 28 mL B 40 mL C 36 mL D 32 mL - 36 mL How many mL will a patient receive if infused with 125 mL/hr for 7 hrs? A 625 mL B 875 mL C 312.5 mL D 437.5 mL - 875 mL How many zolpidem tablets each containing 500 mcg can be prepared from 1g of zolpidem?

A 4,000 tablets B 1,000 tablets C 5,000 tablets D 2,000 tablets - 2,000 tablets Conversion: 1 g = 1000000 mcg 1 g = 1000000 mcg 1000000 mcg / 500 mcg = 2000 tablets How many tsp are in 100 ml? A 100 tsp B 50 tsp C 20 tsp D 10 tsp - 20 tsp Conversion: 1 teaspoon (tsp) = 5 mL 100 mL / 5 mL/tsp = 20 tsp Patient is to be given 70 mg dose of naproxen via suspension containing 25 mg of naproxen per 10 mL. How many mL must be administered? A 28 mL B 40 mL C 36 mL D 32 mL - 28 mL

You receive the following order: 15 g topical steroid cream containing 12% concentration. Your pharmacy has only 10% and 15% on hand. How much of each can you combine to fill this order? A. 6 g of 15% and 9 g of 10% B. 10 g of 10% and 5 g of 15% C. 8 g of 10% and 7 g of 15% D. 3 g of 15% and 12 g of 10% - 6 g of 15% and 9 g of 10% Your pharmacy has a 40% markup and a $1.75 dispensing fee. The wholesale price for 10 Viagra is $120.00. What will the retail price be? A. $ 201. B. $ 188. C. $ 169. D. $ 125.75 - $ 169. To prepare a prescription you need to measure 2.75 ounces. You have graduated cylinders available. Which would be the best cylinder to use for accuracy? A. 75 mL B. 100 mL C. 125 mL D. 150 mL - 100 mL Which is incorrect?

A. 554= DLIV

B. 122= CXXII

C. 264= CCLXIV

D. 159= CLVIIII - 159= CLVIIII

1 Liter of solution contains 5 grams of drug. How much would be present in 750 mL of this solution? A. 3750 mg B. 1500 mg C. 2750 mg D. 4000 mg - 3750 mg What would 25°C be in F°? A. 17°F B. 50°F C. 77°F D. 102°F - 77°F A 14 year old boy is 5'2" and he weights 110 lbs. He's prescribed by his doctor to take 5mg/Kg of drug "A" daily. What will his dose be? A. 1200mg B. 1250mg C. 150mg

A. 100mg B. 150mg C. 200mg D. 250mg - 200mg A patient weights 218 Lbs. What is their weight in Kg? A. 479Kg B. 109Kg C. 409Kg D. 99Kg - 99Kg How many tablespoons are in 16oz.? A. 16 B. 24 C. 12 D. 32 - 32 Dr. Dalk has a dental practice in Smiley, Texas. What should the final number be in his DEA number given the first 8 characters of AD380410_? A. 8 B. 2 C. 4 D. 5 - 8

You receive a prescription for 15g of a topical steroid cream containing a 12% concentration. Your pharmacy only has 10% and 15% concentrations. How much of each can you combine to fill this prescription? A. 6g of 15% + 9g of 10% B. 10g of 10% + 5g of 15% C. 8g of 10% + 7g of 15% D. 12g of 10% + 3g of 15% - 6g of 15% + 9g of 10% Your pharmacy has a 40% markup and $1.75 dispensing fee. The wholesale price for 10 sildenafil is $120.00, what will the retail price be? A. $201. B. $188. C. $169. D. $125.75 - $169. To prepare a prescription you need to measure 2.75oz. You have the following graduated cylinders available. Which would be the best cylinder to use for accuracy? A. 75ml B. 100ml C. 125ml D. 150ml - 100ml Which is incorrect?

At your retail pharmacy a customers order totals $22.34. They pay with two $20 bills. The most appropriate change would be : A. (3)Fives (2)ones (2)Quarters (1)Dime (1)Nickel (2)Penny B. (1)Ten (1)Five (2)ones (1)Quarter (1)Dime (1)Nickel (1)Penny C. (1)Ten (7)ones (1)Dime (1)Nickel (1)Penny D. (1)Ten (1)Five (2)ones (2)Quarters (1)Dime (1)Nickel (1)Penny - (1)Ten (1)Five (2)ones (2)Quarters (1)Dime (1)Nickel (1)Penny Your store retails a 30 ct. bottle of Ibuprofen for $1.99. The wholesale cost to the store is $1.00. What is the markup percent? A. 82% B. 75% C. 99% D. 49% - 99% 1 Lbs is equal to: A. 12oz B. 2.2kg C. 454g D. 1200mL - 454g

Water freezes at 0°C and Boils at 100°C. What temperature in Farenheit will water freeze and boil? A. 14°F, 325°F B. 32°F, 212°F C. 29°F, 180°F D. 10°F, 177°F - 32°F, 212°F The fraction ¾ is equal to: A. 0. B. 0. C. 7. D. 0.075 - 0. How many ML of active ingredient are in 1.5 Liter of a 17.5% solution? A. 525. B. 375.

A patient presents a prescription for Ibandronate 150mg #3. Your pharmacy has a 35% markup and $5.66 dispensing fee. The wholesale price is $15. per tab. What will the retail price be for this prescription of 3 tablets? A. $63. B. $47. C. $52. D. $69.25 - $69.