Pharmacy math calculator

Four PTCB-style calculators - days supply, dilution, alligation and IV flow rate - that show each step, so you can check your own setup, not just the answer.

Updated 2026-09-23 · 1 source · By the HealthCert Prep team

Educational exam prep, not medical advice. This page teaches what certification exams test. Follow your facility’s policies, your supervising clinician and the manufacturer’s instructions in practice. If you are a patient with a health question, talk to your clinician or see MedlinePlus.

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Days supply

Days supply = quantity dispensed / units used per day (rounded down).

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Exam-prep tool for practicing calculations. Not for dispensing decisions.

Practice this: #60 capsules, 1 cap bid -> 60 / 2 = 30 days. Now try 120 mL of a suspension at 5 mL tid (answer: 8 days, since 120 / 15 = 8).

Dilution (C1V1 = C2V2)

Find how much stock solution you need to make a weaker final solution.

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Exam-prep tool for practicing calculations. Not for compounding decisions.

Practice this: make 1,000 mL of 2% from 10% stock -> (2 x 1,000) / 10 = 200 mL stock + 800 mL diluent.

Alligation

Mix a higher and a lower strength to reach a desired strength. The desired strength must fall between the two.

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Exam-prep tool. If the desired strength is not between the two strengths, the result is not meaningful.

Practice this: 240 g of 1% cream from 2.5% cream and plain base (0%) -> parts 1 : 1.5, so 96 g of 2.5% and 144 g of base.

IV flow rate

mL/hr = volume / hours; gtt/min = (volume x drop factor) / minutes.

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Exam-prep tool for practicing calculations. Not for clinical infusion decisions.

Practice this: 500 mL over 4 hours with a 20 gtt/mL set -> 125 mL/hr and (500 x 20) / 240 = 41.7, about 42 gtt/min.

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Frequently asked questions

How do you calculate days supply for a pharmacy?

Quantity dispensed divided by the amount used per day, rounded down.

What is the C1V1 = C2V2 formula?

Stock concentration x stock volume = final concentration x final volume. Solve for the unknown.

How do you calculate drops per minute?

(Volume in mL x drop factor) / time in minutes.

Sources

  1. PTCB - PTCE Content Outline effective January 6, 2026 (accessed 2026-09-23)
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