Medication Dosage Calculation Practice Problems for
Nursing Students - Prof. Mumo (2026/2027)
Nursing Math & Dosage Calculations | Key Domains: Basic Conversions & Metric System, Oral
Dosage Calculations, Parenteral (Injectable) Dosages, IV Drip Rate Calculations (gtt/min, mL/hr),
Pediatric & Weight-Based Calculations, and Reconstitution of Powders | Expert-Aligned Structure |
Calculation Practice Problem Format
Introduction
This structured Medication Dosage Calculation Practice for 2026/2027 provides a comprehensive
set of math problems with step-by-step solutions and rationales. It is designed to build proficiency
and confidence in the essential mathematical skills required for safe medication administration,
covering all major calculation types encountered in nursing practice.
Practice Structure:
● Dosage Calculation Problem Bank: (80 PROBLEMS WITH SOLUTIONS)
Answer Format
All correct final answers and critical intermediate calculation steps must appear in bold and cyan
blue, accompanied by a concise rationale explaining each mathematical step in the process (e.g.,
"Step 1: Convert pounds to kg. Step 2: Calculate mg/kg dose. Step 3: Determine volume to
administer."), the formula used (e.g., D/H x Q, or IV drip rate formula), and a clear statement of why
the answer is correct, including unit labels. The rationale must also explain why common
calculation errors (like misplaced decimals) would lead to an incorrect and potentially dangerous
dose.
Dosage Calculation Problem Bank (80 Problems with
Solutions)
, 1. The physician orders 500 mg of amoxicillin orally. The available tablets are 250 mg each.
How many tablets should the nurse administer?
2 tablets
Rationale: Use the formula: Desired dose / Available dose = 500 mg / 250 mg = 2 tablets. This is a
simple oral solid calculation. A common error is misreading the label and giving 1 tablet (250 mg),
which would be a 50% underdose and may lead to treatment failure.
2. Convert 150 pounds to kilograms. Round to the nearest tenth.
68.2 kg
Rationale: Step 1: Use conversion factor: 1 kg = 2.2 lb. Step 2: 150 lb ÷ 2.2 = 68.1818... kg. Step 3: Round
to nearest tenth: 68.2 kg. Accurate weight conversion is critical for pediatric and weight-based dosing.
Using 2 instead of 2.2 would give 75 kg—a 10% overestimation that could cause overdose.
3. The order is for 0.5 g of cefazolin IV. The vial contains 1 g/2 mL. How many milliliters will
the nurse administer?
1 mL
Rationale: Step 1: Convert 0.5 g to mg if needed (not necessary here). Step 2: Use D/H × Q = (0.5 g / 1 g)
× 2 mL = 0.5 × 2 = 1 mL. Misplacing the decimal (e.g., using 5 g instead of 0.5 g) would result in a
10-fold overdose (10 mL), which is dangerous.
4. The provider orders furosemide 20 mg IV. The available concentration is 10 mg/mL. How
many milliliters should be given?
2 mL
Rationale: Use D/H × Q = (20 mg / 10 mg) × 1 mL = 2 × 1 = 2 mL. Alternatively, dimensional analysis:
20 mg × (1 mL / 10 mg) = 2 mL. Confusing mg with mL or misreading concentration could lead to
underdosing (1 mL = 10 mg) or overdosing (4 mL = 40 mg).
5. An IV of 1,000 mL D5W is to infuse over 8 hours. The drop factor is 15 gtt/mL. What is the
flow rate in gtt/min?
31 gtt/min
Rationale: Step 1: Calculate mL/hr: 1,000 mL ÷ 8 hr = 125 mL/hr. Step 2: Use IV drip formula: (mL/hr
× gtt/mL) ÷ 60 min = (125 × 15) ÷ 60 = 1,875 ÷ 60 = 31.25 → round to nearest whole number: 31
gtt/min. Errors in time conversion (e.g., using 8 instead of 60) would give 1,875 gtt/min—fatal.
6. A child weighs 33 lb. The order is for amoxicillin 20 mg/kg/day in two divided doses. The
available suspension is 125 mg/5 mL. How many milliliters per dose should the nurse
administer?
6 mL
Nursing Students - Prof. Mumo (2026/2027)
Nursing Math & Dosage Calculations | Key Domains: Basic Conversions & Metric System, Oral
Dosage Calculations, Parenteral (Injectable) Dosages, IV Drip Rate Calculations (gtt/min, mL/hr),
Pediatric & Weight-Based Calculations, and Reconstitution of Powders | Expert-Aligned Structure |
Calculation Practice Problem Format
Introduction
This structured Medication Dosage Calculation Practice for 2026/2027 provides a comprehensive
set of math problems with step-by-step solutions and rationales. It is designed to build proficiency
and confidence in the essential mathematical skills required for safe medication administration,
covering all major calculation types encountered in nursing practice.
Practice Structure:
● Dosage Calculation Problem Bank: (80 PROBLEMS WITH SOLUTIONS)
Answer Format
All correct final answers and critical intermediate calculation steps must appear in bold and cyan
blue, accompanied by a concise rationale explaining each mathematical step in the process (e.g.,
"Step 1: Convert pounds to kg. Step 2: Calculate mg/kg dose. Step 3: Determine volume to
administer."), the formula used (e.g., D/H x Q, or IV drip rate formula), and a clear statement of why
the answer is correct, including unit labels. The rationale must also explain why common
calculation errors (like misplaced decimals) would lead to an incorrect and potentially dangerous
dose.
Dosage Calculation Problem Bank (80 Problems with
Solutions)
, 1. The physician orders 500 mg of amoxicillin orally. The available tablets are 250 mg each.
How many tablets should the nurse administer?
2 tablets
Rationale: Use the formula: Desired dose / Available dose = 500 mg / 250 mg = 2 tablets. This is a
simple oral solid calculation. A common error is misreading the label and giving 1 tablet (250 mg),
which would be a 50% underdose and may lead to treatment failure.
2. Convert 150 pounds to kilograms. Round to the nearest tenth.
68.2 kg
Rationale: Step 1: Use conversion factor: 1 kg = 2.2 lb. Step 2: 150 lb ÷ 2.2 = 68.1818... kg. Step 3: Round
to nearest tenth: 68.2 kg. Accurate weight conversion is critical for pediatric and weight-based dosing.
Using 2 instead of 2.2 would give 75 kg—a 10% overestimation that could cause overdose.
3. The order is for 0.5 g of cefazolin IV. The vial contains 1 g/2 mL. How many milliliters will
the nurse administer?
1 mL
Rationale: Step 1: Convert 0.5 g to mg if needed (not necessary here). Step 2: Use D/H × Q = (0.5 g / 1 g)
× 2 mL = 0.5 × 2 = 1 mL. Misplacing the decimal (e.g., using 5 g instead of 0.5 g) would result in a
10-fold overdose (10 mL), which is dangerous.
4. The provider orders furosemide 20 mg IV. The available concentration is 10 mg/mL. How
many milliliters should be given?
2 mL
Rationale: Use D/H × Q = (20 mg / 10 mg) × 1 mL = 2 × 1 = 2 mL. Alternatively, dimensional analysis:
20 mg × (1 mL / 10 mg) = 2 mL. Confusing mg with mL or misreading concentration could lead to
underdosing (1 mL = 10 mg) or overdosing (4 mL = 40 mg).
5. An IV of 1,000 mL D5W is to infuse over 8 hours. The drop factor is 15 gtt/mL. What is the
flow rate in gtt/min?
31 gtt/min
Rationale: Step 1: Calculate mL/hr: 1,000 mL ÷ 8 hr = 125 mL/hr. Step 2: Use IV drip formula: (mL/hr
× gtt/mL) ÷ 60 min = (125 × 15) ÷ 60 = 1,875 ÷ 60 = 31.25 → round to nearest whole number: 31
gtt/min. Errors in time conversion (e.g., using 8 instead of 60) would give 1,875 gtt/min—fatal.
6. A child weighs 33 lb. The order is for amoxicillin 20 mg/kg/day in two divided doses. The
available suspension is 125 mg/5 mL. How many milliliters per dose should the nurse
administer?
6 mL
