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Comprehensive Dosage Calculations Competency Examination Advanced
Practice Math for Nursing and Medical Professionals — A Systems-Based, High-
Yield Review for Certification and Clinical Practice (Effective 2025–2026
Standards) 180 Multiple-Choice Questions | Advanced/Hard Difficulty | With
Detailed Step-by-Step Rationales
SECTION 1: BASIC CONVERSIONS AND FUNDAMENTALS (Questions 1–20)
Question 1
A physician orders 0.5 grams of a medication. The medication is available in 250 mg tablets.
How many tablets should the nurse administer?
A. 0.5 tablets
B. 1 tablet
C. 2 tablets
D. 4 tablets
E. 0.25 tablets
CorreCt Answer: C
Rationale: Convert 0.5 grams to milligrams: 0.5 g × 1,000 mg/g = 500 mg. Then divide ordered
dose by available dose: 500 mg ÷ 250 mg/tablet = 2 tablets.
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Question 2
A client is prescribed 1.5 L of IV fluid over 24 hours. The infusion set has a drop factor of 15
gtt/mL. Calculate the drip rate in gtt/min.
A. 10 gtt/min
B. 16 gtt/min
C. 21 gtt/min
D. 25 gtt/min
E. 31 gtt/min
CorreCt Answer: B
Rationale: Convert 1.5 L to mL: 1.5 L × 1,000 mL/L = 1,500 mL. Calculate total minutes: 24 hours
× 60 min/hr = 1,440 min. Drip rate = (1,500 mL × 15 gtt/mL) ÷ 1,440 min = 22,500 ÷ 1,440 =
15.625 ≈ 16 gtt/min.
Question 3
A client weighs 220 pounds. Convert this weight to kilograms (rounded to the nearest tenth).
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A. 100 kg
B. 110 kg
C. 120 kg
D. 90 kg
E. 85 kg
CorreCt Answer: A
Rationale: Convert pounds to kilograms: 220 lb ÷ 2.2 lb/kg = 100 kg. This is a standard
conversion that should be memorized for clinical practice.
Question 4
A medication is ordered at 25 mg/kg/day divided into 3 doses. The client weighs 66 kg. How
many mg should be administered per dose?
A. 550 mg
B. 1,650 mg
C. 825 mg
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D. 2,475 mg
E. 275 mg
CorreCt Answer: A
Rationale: Calculate total daily dose: 25 mg/kg × 66 kg = 1,650 mg/day. Divide by number of
doses: 1,650 mg ÷ 3 doses = 550 mg/dose.
Question 5
A client is prescribed 125 mL of D5W to infuse over 45 minutes. The drop factor is 20 gtt/mL.
Calculate the drip rate in gtt/min.
A. 56 gtt/min
B. 28 gtt/min
C. 42 gtt/min
D. 83 gtt/min
E. 69 gtt/min
CorreCt Answer: A
Rationale: Drip rate = (125 mL × 20 gtt/mL) ÷ 45 min = 2,500 ÷ 45 = 55.56 ≈ 56 gtt/min.
Comprehensive Dosage Calculations Competency Examination Advanced
Practice Math for Nursing and Medical Professionals — A Systems-Based, High-
Yield Review for Certification and Clinical Practice (Effective 2025–2026
Standards) 180 Multiple-Choice Questions | Advanced/Hard Difficulty | With
Detailed Step-by-Step Rationales
SECTION 1: BASIC CONVERSIONS AND FUNDAMENTALS (Questions 1–20)
Question 1
A physician orders 0.5 grams of a medication. The medication is available in 250 mg tablets.
How many tablets should the nurse administer?
A. 0.5 tablets
B. 1 tablet
C. 2 tablets
D. 4 tablets
E. 0.25 tablets
CorreCt Answer: C
Rationale: Convert 0.5 grams to milligrams: 0.5 g × 1,000 mg/g = 500 mg. Then divide ordered
dose by available dose: 500 mg ÷ 250 mg/tablet = 2 tablets.
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Question 2
A client is prescribed 1.5 L of IV fluid over 24 hours. The infusion set has a drop factor of 15
gtt/mL. Calculate the drip rate in gtt/min.
A. 10 gtt/min
B. 16 gtt/min
C. 21 gtt/min
D. 25 gtt/min
E. 31 gtt/min
CorreCt Answer: B
Rationale: Convert 1.5 L to mL: 1.5 L × 1,000 mL/L = 1,500 mL. Calculate total minutes: 24 hours
× 60 min/hr = 1,440 min. Drip rate = (1,500 mL × 15 gtt/mL) ÷ 1,440 min = 22,500 ÷ 1,440 =
15.625 ≈ 16 gtt/min.
Question 3
A client weighs 220 pounds. Convert this weight to kilograms (rounded to the nearest tenth).
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A. 100 kg
B. 110 kg
C. 120 kg
D. 90 kg
E. 85 kg
CorreCt Answer: A
Rationale: Convert pounds to kilograms: 220 lb ÷ 2.2 lb/kg = 100 kg. This is a standard
conversion that should be memorized for clinical practice.
Question 4
A medication is ordered at 25 mg/kg/day divided into 3 doses. The client weighs 66 kg. How
many mg should be administered per dose?
A. 550 mg
B. 1,650 mg
C. 825 mg
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D. 2,475 mg
E. 275 mg
CorreCt Answer: A
Rationale: Calculate total daily dose: 25 mg/kg × 66 kg = 1,650 mg/day. Divide by number of
doses: 1,650 mg ÷ 3 doses = 550 mg/dose.
Question 5
A client is prescribed 125 mL of D5W to infuse over 45 minutes. The drop factor is 20 gtt/mL.
Calculate the drip rate in gtt/min.
A. 56 gtt/min
B. 28 gtt/min
C. 42 gtt/min
D. 83 gtt/min
E. 69 gtt/min
CorreCt Answer: A
Rationale: Drip rate = (125 mL × 20 gtt/mL) ÷ 45 min = 2,500 ÷ 45 = 55.56 ≈ 56 gtt/min.
