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Quizzes > Health & Medicine

PTCB Math Practice: Pharmacy Calculations Quiz

Quick, free pharmacy math practice with instant results.

Editorial: Review CompletedCreated By: Pradyumna Krishna DasaUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style showing calculator pills and math equations for pharmacy technician quiz on sky blue background

This PTCB math practice quiz helps you build speed and accuracy with common pharmacy calculations. Work through dosage, dilutions, ratios, and conversions you'll see on test day, then keep improving with a dosage calculation practice test, try a pharmacy assistant quiz, or challenge yourself with a drug calculation quiz.

Convert 1 teaspoon to milliliters.
10 mL
5 mL - because 1 tsp = 5 mL
2.5 mL
15 mL
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How many milliliters are needed to provide 250 mg if the drug concentration is 50 mg/mL?
7.5 mL
10 mL
2.5 mL
5 mL - 250 mg / 50 mg per mL = 5 mL
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How many days will 60 tablets last if directions are 1 tablet by mouth every 8 hours?
30 days
20 days - every 8 hours = 3/day; 60/3 = 20
10 days
15 days
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How many units of insulin are in 0.3 mL of U-100 insulin?
300 units
10 units
30 units - U-100 = 100 units/mL; 0.3 mL x 100 = 30 units
3 units
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How many grams of dextrose are in 500 mL of D5W?
5 g
25 g - D5W = 5 g/100 mL; 500 mL = 25 g
50 g
2.5 g
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You have 25% w/v solution. How many milliliters are needed to provide 5 g of solute?
25 mL
20 mL - 25% = 25 g/100 mL => 5 g needs 20 mL
5 mL
10 mL
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A child weighs 44 lb and needs a dose of 6 mg/kg. How many milligrams per dose?
264 mg
120 mg - 44 lb/2.2 = 20 kg; 20 x 6 = 120 mg
88 mg
132 mg
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A prescription is for amoxicillin 400 mg/5 mL, take 5 mL twice daily for 10 days. What is the total milligrams dispensed?
8000 mg
2000 mg
16000 mg
4000 mg
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What is the Celsius equivalent of 98.6 F?
35 C
36 C
37 C - (98.6 - 32) x 5/9 = 37
38 C
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How many milligrams are in 250 mL of a 2% w/v solution?
2500 mg
2000 mg
1000 mg
5000 mg - 2% = 2 g/100 mL; in 250 mL = 5 g = 5000 mg
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A stock solution is 10 mg/mL. How much stock is needed to make 250 mL of 2 mg/mL?
200 mL
25 mL
50 mL - C1V1 = C2V2; 10 x V1 = 2 x 250 => V1 = 50 mL
500 mL
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Calculate the day supply: Sig 2 capsules PO q6h PRN, max 8/day. Dispense 120 capsules.
15 days - max 8/day; 120/8 = 15
30 days
10 days
20 days
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An IV of 1000 mL is to infuse over 8 hours using a 15 gtt/mL set. What is the drip rate in gtt/min?
38 gtt/min
15 gtt/min
21 gtt/min
31 gtt/min - (1000 mL/480 min) x 15 = 31.25, round to 31
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A 70% isopropyl alcohol solution is available. How many milliliters of water must be added to 200 mL to prepare 50% v/v?
80 mL - C1V1 = C2V2; 70 x 200 = 50 x V2 => V2 = 280 mL; add 80 mL
20 mL
200 mL
40 mL
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Prepare 120 mL of 10% ointment using 20% and 5% bases. How much 20% is needed?
20 mL
40 mL
60 mL
80 mL
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How many grams of drug are needed to make 250 g of a 1:50 w/w ointment?
10 g
1 g
2.5 g
5 g - 1:50 means 1 g in 50 g base; fraction = 1/50 = 0.02 = 2%; 2% of 250 g = 5 g
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Calculate the minimum weighable quantity on a Class A balance with sensitivity requirement 6 mg, at 5% error.
60 mg
6 mg
120 mg - MWQ = SR x 100 / %error = 6 x 100 / 5 = 120 mg
240 mg
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Two 100 mL bottles of amoxicillin powder are dispensed and each is reconstituted to a total volume of 100 mL. Label: 5 mL PO TID for 10 days. How many milliliters will remain after therapy?
50 mL
25 mL
0 mL
100 mL
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You have 85% w/w ointment and need 200 g of 10% w/w by diluting with petrolatum. How much petrolatum is required?
180 g
150 g
176.5 g - 0.10x200=20 g active; 20 g comes from 85%: needed base = 200 - (20/0.85) = 200 - 23.53 = 176.47 g
100 g
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How many milliequivalents of Na+ are in 1 g of NaCl? (MW=58.5, valence=1)
1.0 mEq
34.2 mEq
58.5 mEq
17.1 mEq - 1000 mg / 58.5 mg/mmol = 17.1 mmol = 17.1 mEq
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Study Outcomes

  1. Navigate PTCB math practice questions -

    Develop strategies to approach and confidently solve a variety of ptcb math practice scenarios, improving accuracy and speed.

  2. Apply pharmacy technician math practice techniques -

    Master dosage calculations and unit conversions essential for pharmacy technician math practice to ensure proper medication administration.

  3. Solve pharmacy tech math problems -

    Tackle ratio, proportion, and percentage problems commonly found in pharmacy tech math problems with precision.

  4. Compute infusion and turnover rates -

    Learn to determine IV flow rates, infusion times, and drug turnover rates for efficient pharmacy operations.

  5. Apply correct rounding and significant figures -

    Understand and execute proper rounding rules and significant-figure conventions to maintain accuracy in pharmacy math practice worksheets.

  6. Interpret concentration and dilution calculations -

    Analyze and perform concentration, dilution, and compounding calculations to prepare safe and effective pharmaceutical solutions.

Cheat Sheet

  1. Accurate Dosage Calculations -

    Review the fundamental formula "Dose = (Desired Dose ÷ Stock Strength) × Volume" to determine the correct volume of medication to dispense. For example, if a prescription calls for 250 mg and the vial contains 100 mg/mL, calculate (250 ÷ 100) × 1 mL = 2.5 mL. This principle, endorsed by the American Society of Health-System Pharmacists (ASHP), is critical for mastering ptcb math practice.

  2. Metric Conversions Mastery -

    Since most pharmacy tech math problems use the metric system, practice converting between units (e.g., mg to g, mL to L) using the King-Davis mnemonic: "Move the decimal right for smaller units." For instance, converting 0.5 g to mg by shifting three places yields 500 mg. This strategy appears in many pharmacy math practice worksheets from accredited university programs.

  3. Understanding Dilutions with C1V1 = C2V2 -

    Use the dilution formula "C1 × V1 = C2 × V2" when preparing IV solutions. For example, to dilute a 10% stock solution to 2%, calculate V1 = (2% × 100 mL) ÷ 10% = 20 mL. This method, emphasized in ACPE guidelines, helps ensure patient safety by delivering precise concentrations, and regular practice in pharmacy math practice sessions builds confidence.

  4. Alligation Method for Mixing Strengths -

    Employ the alligation technique to mix solutions of different strengths for compounding. For instance, to achieve a 3% ointment from 2% and 5% stocks, use a tic-tac-toe grid to calculate that you need 1 part of 2% and 2 parts of 5%. This method, recommended by official pharmacy compounding references, streamlines ptcb math practice by visualizing ratios.

  5. Reconstitution and Label Interpretation -

    Master reconstituting powdered medications by following the manufacturer's instructions - e.g., mixing 5 mL of diluent with a 500 mg vial yields a 100 mg/mL solution. Next, apply the formula "Volume needed = Desired Dose ÷ Concentration" to measure doses accurately. Consistent use of official pharmacy math practice worksheets, like those from the PTCB, cements this critical skill.

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