PTCB Practice Test 9

PTCB Math Quiz

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PTCB Math Quiz is an essential skill for pharmacy technicians, and the Pharmacy Technician Certification Board (PTCB) exam includes questions that test mathematical abilities. Pharmacy technicians use math to calculate dosages, convert units, determine compound ratios, and manage inventory. This article presents a PTCB Math Quiz designed to help you practice and prepare for the PTCB exam. We’ll cover various mathematical concepts, including basic arithmetic, dosage calculations, unit conversions, and more.

PTCB Math Quiz

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How is 34 written in roman numerals?

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Convert this roman numeral to a number: LII

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A 30 mL dose of nighttime cough suppressant contains 12.5 mg of doxylamine succinate. How many milligrams of doxylamine succinate are in the entire 354 mL bottle?

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The pharmacy technician can reconstitute a 100 mL bottle of Amoxycillin in 50 seconds. How many of these bottles can the technician reconstitute in 30 minutes?

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The pharmacy recieves a controlled substance order from their wholesaler. There are a total of 435 pills. Of this total, 17% are C2, 19% are C3, 20% are C4, and 44% are C5. How many C3 pills were in the order?

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Of all the prescriptions received at the pharmacy last Tuesday, 892 were refills. The remainder were new prescriptions, with 168 from patient drop-offs, 183 coming in electronically, and 69 coming in by phone. What percentage of the total prescriptions received were new drop-offs?

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A patient comes to the pharmacy counter with a prescription for Amoxicillin 250mg/5mL and the directions indicate 1¼ tsp po bid x 10d. What is the total quantity needed for dispensing?

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What volume of a drug for injection 100mg/45mL should be used for 250mg?

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The pharmacist is preparing 200 mL of a famotidine suspension containing 75mg/5mL. How many 20 mg tablets of famotidine will be needed?

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You need 800 mL of 10% dextrose solution. How much of your 50% and 5% dextrose solution will you need to mix?

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How is 59 written in roman numerals?

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Convert this roman numeral to a number: CXXVI

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Which of the following quantities will fill a 16 ounce container the most without causing any overflow?

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A bottle of fluticasone propionate nasal spray provides 120 metered sprays. Each spray delivers 50 mcg of fluticasone propionate in 100 mg of formulation through the nasal adapter. A prescription is filled for, “Three bottles, 2 sprays each nostril, qd.” How many days will this supply last?

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A bottle with 236 milliliters of liquid allergy medication contains Diphenhydramine HCl 12.5mg/5mL. How milligrams of Diphenhydramine HCl are in the bottle?

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A bottle with 8 fluid ounces of liquid allergy medication contains 590 mg of Diphenhydramine HCl. How many grams of Diphenhydramine HCl are in 1 gallon of this medication?

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A child's prescription for ceftriaxone is 50mg/kg per day in equally divided doses every 12 hours. How many grams of the drug will be administered over the first 5 days if the child weighs 80 pounds?

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The pharmacy technician knows that 600 mL of 20% dextrose solution contains _____ grams of dextrose.

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Key Math Concepts for Pharmacy Technicians

Before diving into the quiz, let’s review some of the fundamental math concepts that pharmacy technicians need to master for the PTCB exam. These concepts are critical for accurate medication dispensing and patient safety.

Dosage Calculations

Dosage calculations involve determining the correct dose of medication based on a prescription or order. Pharmacy technicians must understand the relationship between the desired dose, the available strength, and the amount to be dispensed.

Unit Conversions

Pharmacy technicians often need to convert between different units of measurement, such as grams to milligrams or liters to milliliters. Accurate conversions are crucial for ensuring proper dosing.

Ratios and Proportions

Ratios and proportions are used to solve problems involving equivalent relationships. Pharmacy technicians use these concepts to determine the correct mixture of compounds or the ratio between different ingredients.

IV Flow Rates

In hospital settings, pharmacy technicians may need to calculate intravenous (IV) flow rates. This involves determining the volume of fluid to be delivered over a specific time period.

Percent Strength

Percent strength calculations are used to determine the concentration of a solution. Pharmacy technicians often use this concept when compounding or preparing medications.

PTCB Math Quiz: PTCB Exam Sample

The following PTCB Math Quiz is designed to test your knowledge of mathematical concepts relevant to the PTCB exam. Use this quiz to assess your understanding and identify areas for further study.

Question 1: Dosage Calculation

A prescription requires 250 mg of a drug. If you have 125 mg tablets, how many tablets will you dispense? A) 1 tablet B) 2 tablets C) 3 tablets D) 4 tablets

Answer: B) 2 tablets

Explanation: To determine the number of tablets to dispense, divide the required dose by the available strength. Here, the required dose is 250 mg, and the available strength is 125 mg per tablet. Thus, 250 mg ÷ 125 mg/tablet = 2 tablets.

Question 2: Unit Conversion

Convert 500 milliliters (mL) to liters (L). A) 0.5 L B) 0.05 L C) 5 L D) 50 L

Answer: A) 0.5 L

Explanation: To convert milliliters to liters, divide by 1,000. Since 1 liter contains 1,000 milliliters, 500 milliliters ÷ 1,000 = 0.5 liters.

Question 3: IV Flow Rate Calculation

An IV bag contains 1,000 milliliters (mL) of fluid and needs to be infused over 4 hours. What is the flow rate in milliliters per hour (mL/hr)? A) 250 mL/hr B) 200 mL/hr C) 300 mL/hr D) 150 mL/hr

Answer: A) 250 mL/hr

Explanation: To calculate the flow rate, divide the total volume by the total time in hours. Here, the total volume is 1,000 mL, and the total time is 4 hours. Thus, 1,000 mL ÷ 4 hours = 250 mL/hr.

Question 4: Ratio and Proportion

If a drug is available in a 2:1 ratio of drug A to drug B, how much drug B is needed for 100 mg of drug A? A) 50 mg B) 200 mg C) 100 mg D) 25 mg

Answer: A) 50 mg

Explanation: In a 2:1 ratio, for every 2 parts of drug A, there is 1 part of drug B. To find out how much drug B is needed for 100 mg of drug A, divide by 2. Thus, 100 mg ÷ 2 = 50 mg.

Question 5: Percent Strength Calculation

A solution contains 5 grams of solute in 100 milliliters of solution. What is the percent strength? A) 5% B) 0.5% C) 50% D) 25%

Answer: A) 5%

Explanation: To calculate percent strength, divide the weight of the solute by the total volume of the solution, then multiply by 100 to get the percentage. Here, 5 grams ÷ 100 milliliters × 100 = 5%.

Question 6: Dosage Calculation by Body Weight

A patient weighs 70 kilograms and requires a medication dose of 0.2 milligrams per kilogram. What is the total dose in milligrams? A) 14 mg B) 7 mg C) 28 mg D) 35 mg

Answer: A) 14 mg

Explanation: To calculate the total dose, multiply the patient’s weight by the dose per kilogram. Here, 70 kilograms × 0.2 mg/kg = 14 mg.

Question 7: Conversion from Household to Metric Units

How many milliliters (mL) are there in 2 tablespoons (tbsp)? A) 30 mL B) 15 mL C) 60 mL D) 20 mL

Answer: A) 30 mL

Explanation: Each tablespoon is equivalent to approximately 15 milliliters. Thus, 2 tablespoons × 15 mL/tbsp = 30 mL.

Tips for PTCB Exam Success

To excel in the math section of the PTCB exam, consider these tips:

  1. Practice Regularly: Consistent practice with quizzes and math problems helps reinforce your understanding of key concepts. Use this PTCB Math Quiz to test your knowledge.
  2. Understand the Basics: Ensure you have a solid grasp of basic arithmetic, unit conversions, ratios, and proportions. These skills are fundamental for pharmacy technicians.
  3. Create a Conversion Chart: Develop a chart with common unit conversions, such as grams to milligrams and liters to milliliters. Keep it handy for quick reference.
  4. Use Study Guides and Resources: Utilize study guides and online resources designed for the PTCB exam to improve your math skills and knowledge of other exam topics.
  5. Join Study Groups: Consider joining study groups or online forums where you can discuss math problems and other topics related to the PTCB exam.

By following these tips and practicing with this PTCB Math Quiz, you’ll be well-prepared for the math section of the PTCB exam and better equipped for your role as a pharmacy technician.


Mathematics is a critical skill for pharmacy technicians, and the PTCB exam tests these skills through various questions and problems. This PTCB Math Quiz, designed as a PTCB exam sample, provides a comprehensive approach to mastering math concepts. By focusing on these topics and practicing regularly, you’ll increase your chances of success on the PTCB exam and ensure accurate medication dispensing in your pharmacy career.

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