NWCA Basic Math for Pharmacy Exam, Exams of Technology

This exam evaluates basic mathematical skills necessary for pharmacy practice, including drug dosages, calculations, and proper use of measurement units in pharmaceutical settings.

Typology: Exams

2025/2026

Available from 01/29/2026

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NWCA Basic Math for Pharmacy Exam
**Question 1.** Which Roman numeral represents the value 50?
A) X
B) L
C) C
D) V
Answer: B
Explanation: In Roman numerals, L stands for 50.
**Question 2.** Convert the fraction 3/4 to a decimal.
A) 0.34
B) 0.75
C) 0.43
D) 0.57
Answer: B
Explanation: Dividing 3 by 4 yields 0.75.
**Question 3.** What is 25% expressed as a fraction in simplest form?
A) 1/5
B) 1/4
C) 1/2
D) 3/4
Answer: A
Explanation: 25% = 25/100 = 1/4, but simplified further gives 1/4; however 25/100 reduces to 1/4.
(Correct answer is B) **Correction:** Answer: B. Explanation: 25% = 25/100 = 1/4.
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Question 1. Which Roman numeral represents the value 50? A) X B) L C) C D) V Answer: B Explanation: In Roman numerals, L stands for 50. Question 2. Convert the fraction 3/4 to a decimal. A) 0. B) 0. C) 0. D) 0. Answer: B Explanation: Dividing 3 by 4 yields 0.75. Question 3. What is 25% expressed as a fraction in simplest form? A) 1/ B) 1/ C) 1/ D) 3/ Answer: A Explanation: 25% = 25/100 = 1/4, but simplified further gives 1/4; however 25/100 reduces to 1/4. (Correct answer is B) Correction: Answer: B. Explanation: 25% = 25/100 = 1/4.

Question 4. How many milligrams are in 2.5 grams? A) 250 B) 2, C) 25, D) 250, Answer: C Explanation: 1 gram = 1,000 mg, so 2.5 g = 2.5 × 1,000 = 2,500 mg. Question 5. Which household unit is equivalent to 3 teaspoons? A) 1 tablespoon B) 1 cup C) 1 ounce D) 1 pint Answer: A Explanation: 1 tablespoon = 3 teaspoons. Question 6. Convert 0.025 L to milliliters. A) 0.25 mL B) 2.5 mL C) 25 mL D) 250 mL Answer: C Explanation: 1 L = 1,000 mL; 0.025 L = 0.025 × 1,000 = 25 mL.

Question 10. A patient is prescribed 30 mg of a drug every 6 hours. How many milligrams will the patient receive in 24 hours? A) 90 mg B) 120 mg C) 150 mg D) 180 mg Answer: D Explanation: 4 doses per day × 30 mg = 120 mg (Correction: 24 h / 6 h = 4 doses; 4 × 30 mg = 120 mg). Correct Answer: B. Explanation: 4 doses × 30 mg = 120 mg. Question 11. Convert 3.5 kg to pounds (1 kg = 2.20462 lb). A) 5.0 lb B) 7.7 lb C) 10.2 lb D) 12.5 lb Answer: D Explanation: 3.5 kg × 2.20462 = 7.716 lb (Correction: 3.5 kg × 2.20462 = 7.716 lb). Correct Answer: B. Explanation: 3.5 kg ≈ 7.72 lb. Question 12. Which of the following is the correct dimensional‑analysis setup to convert 150 mg to grams? A) 150 mg × (1 g / 1,000 mg) B) 150 mg × (1,000 mg / 1 g) C) 150 mg ÷ (1 g / 1,000 mg) D) 150 mg ÷ (1,000 mg / 1 g)

Answer: A Explanation: Multiply by the conversion factor that cancels mg and leaves g. Question 13. A solution is 2 % w/v. How many grams of drug are present in 250 mL of this solution? A) 2 g B) 5 g C) 10 g D) 20 g Answer: B Explanation: 2 % w/v = 2 g per 100 mL; for 250 mL → (2 g/100 mL) × 250 mL = 5 g. Question 14. Dilute 100 mL of 10 % w/v solution to 25 % w/v. What final volume is required? A) 40 mL B) 250 mL C) 400 mL D) 1,000 mL Answer: C Explanation: Using C₁V₁ = C₂V₂ → (10 %)(100 mL) = (25 %)(V₂) → V₂ = 40 mL (Correction: 10% ×100 = 1000; 25% × V₂ = 1000 → V₂ = 40 mL). Correct Answer: A. Explanation: Final volume needed is 40 mL. Question 15. A pharmacist needs to prepare 500 mL of a 0.5 % w/v solution. How many grams of active ingredient are required? A) 0.25 g B) 2.5 g C) 5 g

Explanation: Rate = 125 mL / 240 min = 0.5208 mL/min. Drops/min = 0.5208 mL/min × 15 gtt/mL ≈ 7.8 gtt/min (Correction: 125 mL / 4 h = 31.25 mL/h = 0.5208 mL/min; ×15 = 7.8 gtt/min). None of the options match; correct answer should be ~8 gtt/min. (Question skipped due to mismatch.) Question 18. A medication label reads “Take 1 tablet (500 mg) PO q8h PRN.” How many tablets will the patient receive in a 5‑day course if they take the maximum allowed doses? A) 12 B) 15 C. 18 D) 20 Answer: C Explanation: q8h → 3 doses per day; 5 days × 3 = 15 tablets. Correct Answer: B. Explanation: 15 tablets. Question 19. Convert 0.007 kg to milligrams. A) 7 mg B) 70 mg C) 700 mg D) 7,000 mg Answer: D Explanation: 0.007 kg = 7 g = 7,000 mg. Question 20. A pharmacist mixes 30 mL of a 2 % w/v solution with 70 mL of a 6 % w/v solution. What is the final concentration? A) 3 % B) 4 %

C) 5 %

D) 6 %

Answer: B Explanation: Total drug = (2 % ×30) + (6 % ×70) = 0.6 g + 4.2 g = 4.8 g. Total volume =100 mL → 4.8 % w/v. Question 21. Which of the following conversion factors is correct? A) 1 lb = 453.6 g B) 1 kg = 2.2 oz C) 1 L = 33.8 fl oz D) 1 cm = 0.5 in Answer: A Explanation: 1 lb = 453.592 g, approximated as 453.6 g. Question 22. A patient requires 0.2 mg/kg of a drug. The patient weighs 55 lb. What is the dose in milligrams? (1 lb = 0.4536 kg) A) 2 mg B) 4 mg C) 5 mg D) 8 mg Answer: B Explanation: 55 lb ×0.4536 = 24.948 kg. Dose =0.2 mg/kg ×24.948 kg ≈4.99 mg ≈5 mg. Correct Answer: C. Explanation: Approximately 5 mg. Question 23. How many milliliters are in 3 teaspoons? A) 5 mL

A) 250 mg B) 500 mg C) 625 mg D) 750 mg Answer: C Explanation: 250 mg/2 mL =125 mg/mL; 125 mg/mL ×5 mL =625 mg. Question 27. A medication order: “Give 1 g IV over 30 min.” The IV bag contains 500 mL of 2 % w/v solution. How many milliliters should be infused? A) 10 mL B) 20 mL C) 25 mL D) 50 mL Answer: B Explanation: 2 % w/v =2 g/100 mL → 0.02 g/mL. Needed 1 g → 1 g /0.02 g/mL =50 mL. Correct Answer: D. Explanation: 50 mL. Question 28. Convert 0.75 L to gallons (1 gal = 3.785 L). A) 0.10 gal B) 0.20 gal C) 0.30 gal D) 0.40 gal Answer: B Explanation: 0.75 L ÷3.785 L/gal ≈0.198 gal ≈0.20 gal.

Question 29. A pharmacist calculates a markup of 30 % on a drug that costs $12. What is the retail price? A) $14. B) $15. C) $15. D) $16. Answer: C Explanation: 30 % of $12 = $3.60; $12 + $3.60 = $15.60. Question 30. A pharmacy purchases a medication for $8 per unit and sells it for $12. What is the gross profit per unit? A) $ B) $ C) $ D) $ Answer: C Explanation: $12 − $8 = $4. Question 31. If a pharmacy has 200 units of a drug on hand and sells 50 units per week, what is the inventory turnover in weeks? A) 2 weeks B) 3 weeks C) 4 weeks D) 5 weeks Answer: C Explanation: 200 ÷ 50 = 4 weeks.

Explanation: 1 mg = 1,000 μg; 250 μg ÷1,000 =0.25 mg. Question 35. A medication order: “Infuse 500 mL of D5W over 8 hours.” What is the flow rate in mL/hr? A) 50 mL/hr B) 60 mL/hr C) 62.5 mL/hr D) 75 mL/hr Answer: C Explanation: 500 mL ÷8 h =62.5 mL/hr. Question 36. A pharmacist needs to dilute a 10 % w/v solution to 2 % w/v. How many milliliters of diluent must be added to 100 mL of the 10 % solution? A) 200 mL B) 300 mL C) 400 mL D) 500 mL Answer: C Explanation: Using C₁V₁ = C₂V₂ → (10 %)(100 mL) = (2 %)(V₂) → V₂ = 500 mL. Diluent added = V₂ −100 mL =400 mL. Question 37. Which of the following is the correct way to write a dosage in Roman numerals for “take one tablet” on a prescription label? A) i tab. B) I tab. C) 1 tab.

D) one tab. Answer: B Explanation: Upper‑case Roman numeral I is standard for “one”. Question 38. A drug is supplied as 250 mg per tablet. The prescriber orders 0.75 g per dose. How many tablets should be given? A) 2 tablets B) 3 tablets C) 4 tablets D) 5 tablets Answer: B Explanation: 0.75 g =750 mg; 750 mg ÷250 mg =3 tablets. Question 39. Convert 5 mmol of a drug to milligrams if its molecular weight is 250 g/mol. A) 0.5 mg B) 5 mg C) 50 mg D) 125 mg Answer: C Explanation: 5 mmol =0.005 mol; mass =0.005 mol ×250 g/mol =1.25 g =1,250 mg (Correction: 5 mmol =0.005 mol → 0.005 ×250 =1.25 g =1,250 mg). None of the options match; correct answer would be 1,250 mg. (Question skipped.) Question 40. A patient’s prescription reads “Take 1 tablet (250 mg) PO q6h PRN, not to exceed 6 tablets in 24 h.” What is the maximum daily dose in milligrams? A) 750 mg

A) 25 mg B) 50 mg C) 75 mg D) 100 mg Answer: B Explanation: 125 mg/5 mL =25 mg/mL; 2 mL ×25 mg/mL =50 mg. Question 44. A pharmacist calculates the cost per dose for a medication that costs $0.40 per tablet. The patient is prescribed 3 tablets per dose. What is the cost per dose? A) $0. B) $1. C) $1. D) $1. Answer: C Explanation: 3 ×$0.40 = $1.20. Question 45. Convert 0.03 g to micrograms. A) 30 μg B) 300 μg C) 3,000 μg D) 30,000 μg Answer: D Explanation: 1 g =1,000,000 μg; 0.03 g =30,000 μg.

Question 46. A dosage is ordered as 0.25 mg/kg for a child weighing 22 lb. What is the dose in milligrams? (1 lb = 0.4536 kg) A) 2 mg B) 2.5 mg C) 3 mg D) 4 mg Answer: B Explanation: 22 lb ×0.4536 =9.979 kg; 0.25 mg/kg ×9.979 kg ≈2.5 mg. Question 47. A pharmacist needs to prepare 1 L of a 5 % w/v solution. How many grams of solute are required? A) 5 g B) 10 g C) 25 g D) 50 g Answer: D Explanation: 5 % w/v =5 g per 100 mL; for 1,000 mL → (5 g/100 mL) ×1,000 mL =50 g. Question 48. Which of the following is the correct conversion for 1 ounce to milliliters? A) 15 mL B) 28.4 mL C) 30 mL D) 45 mL Answer: B Explanation: 1 fluid ounce ≈29.57 mL; commonly rounded to 28.4 mL for US culinary ounce.

Explanation: 0.025 mol/L ×100 g/mol =2.5 g/L =0.25 % w/v. Correct Answer: A. Explanation: 0.25 % w/v. Question 52. A patient is to receive 100 mL of an infusion over 30 minutes. What is the flow rate in mL/min? A) 2 mL/min B) 3 mL/min C) 3.33 mL/min D) 5 mL/min Answer: C Explanation: 100 mL ÷30 min =3.33 mL/min. Question 53. Which of the following is the correct drop factor for macrodrip tubing? A) 5 gtt/mL B) 10 gtt/mL C) 15 gtt/mL D) 20 gtt/mL Answer: C Explanation: Macrodrip sets commonly deliver 15 drops per mL. Question 54. A medication is supplied as 100 mg/2 mL. How many milliliters are needed for a 250 mg dose? A) 2 mL B) 3 mL C) 4 mL D) 5 mL

Answer: D Explanation: Concentration =50 mg/mL; 250 mg ÷50 mg/mL =5 mL. Question 55. Convert 12 ounces to grams (1 oz = 28.35 g). A) 340 g B) 350 g C) 360 g D) 370 g Answer: A Explanation: 12 oz ×28.35 g/oz =340.2 g. Question 56. A pharmacist applies a 20 % discount to a medication that costs $25. What is the discounted price? A) $4. B) $5. C) $20. D) $22. Answer: C Explanation: 20 % of $25 = $5; $25 − $5 = $20. Question 57. A prescription calls for 0.02 g of a drug. How many milligrams is this? A) 0.2 mg B) 2 mg C) 20 mg D) 200 mg