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PTCB Practice Exam – Math Section | Latest 2025/2026 Exam Prep & Study Guide

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Boost your confidence on the math section of the PTCB Exam with this fully updated 2025/2026 Practice Exam & Study Guide. Designed for pharmacy technician students and PTCB candidates, this guide includes exam-style math questions with verified correct answers and detailed explanations, covering all high-yield pharmacy calculations, conversions, and dosage problems. What’s Included ️ 2025/2026 PTCB math practice exam questions ️ Verified correct answers with step-by-step solutions ️ Dosage calculations (mg, mL, units) ️ Conversions between metric, apothecary, and household systems ️ IV flow rates, dilutions & concentrations ️ Daily dose & drug quantity calculations ️ High-yield math review for exam readiness Perfect For PTCB exam candidates Pharmacy technician students & trainees Certification prep and self-study Anyone needing focused math exam practice Benefits Improves speed and accuracy for PTCB math questions Reinforces essential pharmacy calculation concepts Prepares students for real exam scenarios Aligned with the latest 2025/2026 PTCB blueprint

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Institution
PTCB Practice
Course
PTCB Practice

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PTCB Practice Exam – Math Section | Latest
2025/2026 Exam Prep & Study Guide
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 - correct answer20 gtt


First find the total number of minutes: 60 X 4 = 240. Then find mL/min: = 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 - correct answer$7.05


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% - correct answer200 mL of the 50% and
400 mL of the 5%

Seventy-four degrees Fahrenheit is equal to what temperature in Celsius?

A 74.0
B 23.3
C 18.3
D 30.7 - correct answer23.3

,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 - correct answer125 minutes


10 gtt/mL means 10 drops per mL. So for 500 mL you will get: 10 X 500 = 5,000 drops.
The flow rate is 40 gtt/min, which means 40 drops per minute, so divide total drops by
40 to get the number of minutes: 5,000/40 = 125.

Convert 5.5 kg to pounds.

A 1.21 lb
B 55 lb
C 12.1 lb
D 0.55 lb - correct answer12.1 lb


A kilogram is equal to 2.2 pounds. 5.5 X 2.2 = 12.1

The percent equivalent of a 1:125 ratio is:

A 12.5%
B 0.8%
C 8.0%
D 0.08% - correct answer0.8%


Percent means parts per hundred. 1/125 = x/100 which means 125x = 100 which
means x = 0.8

An order is written to administer 2 liters of an IV fluid over 18 hours. What will the flow
rate be?

A 101 mL/hr
B 56 mL/hr
C 83 mL/hr
D 111 mL/hr - correct answer111 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 - correct answer36 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 - correct answer875 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 - correct answer2,000 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 - correct answer20 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

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