Take our PTCB Math Quiz and Sharpen your pharmacy math skills. Practice dosing calculations, conversions, percentages, proportions, and more. Step-by-step explanations help you learn as you prepare for the PTCB exam. Start practicing today.
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A prescription reads: “Take 1 tablet by mouth twice daily for blood pressure.”
Which detail is most important to verify during order entry?
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Question 1 |
A prescription orders 0.5 grams of medication. The available stock is labeled as 250 mg per tablet. How many tablets should the patient take?
1 tablet | |
2 tablet | |
3 tablet | |
4 tablet |
Question 1 Explanation:
0.5 grams is equivalent to 500 milligrams.
500 mg ÷ 250 mg per tablet = 2 tablets.
Question 2 |
A 1:250 solution of epinephrine is needed. How many milligrams of epinephrine are in 1 mL of the solution?
2 mg | |
4 mg | |
1 mg | |
0.5 mg |
Question 2 Explanation:
1:250 solution means 1 gram of solute per 250 mL solution.
1 gram = 1000 mg → 1000 mg ÷ 250 mL = 4 mg/mL.
Question 3 |
A patient weighs 70 kg. The physician orders 15 mg/kg of medication. What total dose should the pharmacy technician prepare?
1050 mg | |
750 mg | |
950 mg | |
1500 mg |
Question 3 Explanation:
70 kg × 15 mg/kg = 1050 mg.
Question 4 |
A pharmacist needs to compound 500 mL of a 2% solution from a 10% stock solution. How much stock solution is needed?
100 mL | |
50 mL | |
150 mL | |
200 mL |
Question 4 Explanation:
Use the dilution formula:
C₁V₁ = C₂V₂ → (10%)(V₁) = (2%)(500 mL)
V₁ = (2% × 500 mL) ÷ 10% = 100 mL.
Question 5 |
A prescription is written for 0.25 grams of drug. The stock is available in 125 mg tablets. How many tablets should be dispensed?
1 tablet | |
3 tablet | |
2 tablet | |
4 tablet |
Question 5 Explanation:
0.25 grams = 250 mg.
250 mg ÷ 125 mg per tablet = 2 tablets.
Question 6 |
An IV order reads: Administer 1000 mL of saline over 8 hours. What is the flow rate in mL/hour?
125 mL/hour | |
150 mL/hour | |
100 mL/hour | |
80 mL/hour |
Question 6 Explanation:
1000 mL ÷ 8 hours = 125 mL/hour.
Question 7 |
A patient requires 75 mg of a drug. The available concentration is 25 mg per 5 mL. How many milliliters are needed?
20 mL | |
5 mL | |
10 mL | |
15 mL |
Question 7 Explanation:
25 mg is in 5 mL → (75 mg ÷ 25 mg) × 5 mL = 15 mL.
Question 8 |
A technician is asked to prepare a 500 mL IV solution containing 0.9% sodium chloride. How many grams of sodium chloride are needed?
0.9 grams | |
9 grams | |
4.5 grams | |
5 grams |
Question 8 Explanation:
0.9% means 0.9 grams per 100 mL.
For 500 mL → 0.9 g × 5 = 4.5 grams.
Question 9 |
A doctor orders a dose of 12 mg/kg for a patient weighing 55 kg. What is the correct dosage?
550 mg | |
720 mg | |
600 mg | |
660 mg |
Question 9 Explanation:
12 mg/kg × 55 kg = 660 mg.
Question 10 |
A technician needs to convert 2.5 grams into milligrams. What is the correct conversion?
25 mg | |
250 mg | |
2500 mg | |
0.25 mg |
Question 10 Explanation:
1 gram = 1000 milligrams → 2.5 grams × 1000 = 2500 mg.
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