NURSING DRUG-DOSAGE CALCULATION
277-Page Original Practice Workbook
Step-by-step nursing mathematics • conversions • ratios •
rates • rationales
Original content: This workbook is independently written and is not a reproduction of any textbook, test bank, or commercial
study guide.
Educational-use notice: For study and mathematics practice only. Always follow current institutional policies, instructor
guidance, medication labels, and verified clinical references in real care.
Original educational practice material • Not a clinical order or prescribing guide Page 1
, Table of Contents
1. Foundations: Units & Conversions
2. Ratio-Proportion Practice
3. Dimensional Analysis
4. Tablets & Capsules
5. Liquid Medications
6. Weight-Based Calculations
7. Pediatric Practice (Educational)
8. IV Flow-Rate Mathematics
9. Time & Rate Calculations
10. Percent, Ratio & Concentration
11. Reconstitution Mathematics
12. Multi-Step Calculation Practice
13. Mixed Review
14. Cumulative Practice Tests
How to use this workbook
Work each problem before viewing the answer. Show units at every step, round only at the point specified by your course or
institution, and check whether the final answer is reasonable. The examples below use fictional practice orders and are
designed for calculation training rather than clinical decision-making.
Original educational practice material • Not a clinical order or prescribing guide Page 2
,Foundations: Units & Conversions — Practice Set 1
Choose the best mathematical answer. These are fictional educational examples.
7) Convert 0.1 mg to micrograms (mcg).
A. 100 mcg B. 1 mcg C. 10000 mcg D. 150 mcg
Answer: A — 100 mcg
Rationale: 1 mg = 1,000 mcg, so 0.1 mg × 1,000 = 100 mcg.
8) Convert 45 minutes to hours.
A. 0.75 hr B. 1.25 hr C. 0.25 hr D. 1.5 hr
Answer: A — 0.75 hr
Rationale: 45 ÷ 60 = 0.75 hour(s).
9) What is 5% of 250 mL in this fictional concentration exercise?
A. 12.5 mL B. 17.5 mL C. 7.5 mL D. 25 mL
Answer: A — 12.5 mL
Rationale: 5/100 × 250 = 12.5 mL.
10) A practice stock has 20 mg per mL. How many mL correspond to 40 mg?
A. 2 mL B. 3 mL C. 4 mL D. 1 mL
Answer: A — 2 mL
Rationale: (40 mg) × (1 mL/20 mg) = 2 mL; the mg units cancel.
11) In a fictional reconstitution exercise, 750 mg is contained in a final volume of 10 mL. What is the concentration in mg/mL?
A. 75 mg/mL B. 37.5 mg/mL C. 150 mg/mL D. 85 mg/mL
Answer: A — 75 mg/mL
Rationale: Concentration = 750 mg ÷ 10 mL = 75 mg/mL.
12) Round 1.234 to the nearest hundredth.
A. 1.23 B. 1.2 C. 1.23 D. 1.33
Answer: A — 1.23
Rationale: The hundredths place is retained and the next digit determines rounding, giving 1.23.
Original educational practice material • Not a clinical order or prescribing guide Page 3
, Foundations: Units & Conversions — Practice Set 2
Choose the best mathematical answer. These are fictional educational examples.
5) A fictional practice infusion contains 250 mL to be completed over 2 hours. What is the mathematical rate in mL/hr?
A. 125 mL/hr B. 150 mL/hr C. 100 mL/hr D. 250 mL/hr
Answer: A — 125 mL/hr
Rationale: Rate = volume ÷ time = 250 ÷ 2 = 125 mL/hr.
6) Convert 0.5 g to mg.
A. 500 mg B. 50 mg C. 5000 mg D. 600 mg
Answer: A — 500 mg
Rationale: 1 g = 1,000 mg, so 0.5 g × 1,000 = 500 mg.
7) Convert 0.4 mg to micrograms (mcg).
A. 400 mcg B. 4 mcg C. 40000 mcg D. 450 mcg
Answer: A — 400 mcg
Rationale: 1 mg = 1,000 mcg, so 0.4 mg × 1,000 = 400 mcg.
8) Convert 120 minutes to hours.
A. 2 hr B. 2.5 hr C. 1.5 hr D. 4 hr
Answer: A — 2 hr
Rationale: 120 ÷ 60 = 2 hour(s).
9) What is 15% of 500 mL in this fictional concentration exercise?
A. 75 mL B. 80 mL C. 70 mL D. 150 mL
Answer: A — 75 mL
Rationale: 15/100 × 500 = 75 mL.
10) A practice stock has 20 mg per mL. How many mL correspond to 40 mg?
A. 2 mL B. 3 mL C. 4 mL D. 1 mL
Answer: A — 2 mL
Rationale: (40 mg) × (1 mL/20 mg) = 2 mL; the mg units cancel.
Original educational practice material • Not a clinical order or prescribing guide Page 4
277-Page Original Practice Workbook
Step-by-step nursing mathematics • conversions • ratios •
rates • rationales
Original content: This workbook is independently written and is not a reproduction of any textbook, test bank, or commercial
study guide.
Educational-use notice: For study and mathematics practice only. Always follow current institutional policies, instructor
guidance, medication labels, and verified clinical references in real care.
Original educational practice material • Not a clinical order or prescribing guide Page 1
, Table of Contents
1. Foundations: Units & Conversions
2. Ratio-Proportion Practice
3. Dimensional Analysis
4. Tablets & Capsules
5. Liquid Medications
6. Weight-Based Calculations
7. Pediatric Practice (Educational)
8. IV Flow-Rate Mathematics
9. Time & Rate Calculations
10. Percent, Ratio & Concentration
11. Reconstitution Mathematics
12. Multi-Step Calculation Practice
13. Mixed Review
14. Cumulative Practice Tests
How to use this workbook
Work each problem before viewing the answer. Show units at every step, round only at the point specified by your course or
institution, and check whether the final answer is reasonable. The examples below use fictional practice orders and are
designed for calculation training rather than clinical decision-making.
Original educational practice material • Not a clinical order or prescribing guide Page 2
,Foundations: Units & Conversions — Practice Set 1
Choose the best mathematical answer. These are fictional educational examples.
7) Convert 0.1 mg to micrograms (mcg).
A. 100 mcg B. 1 mcg C. 10000 mcg D. 150 mcg
Answer: A — 100 mcg
Rationale: 1 mg = 1,000 mcg, so 0.1 mg × 1,000 = 100 mcg.
8) Convert 45 minutes to hours.
A. 0.75 hr B. 1.25 hr C. 0.25 hr D. 1.5 hr
Answer: A — 0.75 hr
Rationale: 45 ÷ 60 = 0.75 hour(s).
9) What is 5% of 250 mL in this fictional concentration exercise?
A. 12.5 mL B. 17.5 mL C. 7.5 mL D. 25 mL
Answer: A — 12.5 mL
Rationale: 5/100 × 250 = 12.5 mL.
10) A practice stock has 20 mg per mL. How many mL correspond to 40 mg?
A. 2 mL B. 3 mL C. 4 mL D. 1 mL
Answer: A — 2 mL
Rationale: (40 mg) × (1 mL/20 mg) = 2 mL; the mg units cancel.
11) In a fictional reconstitution exercise, 750 mg is contained in a final volume of 10 mL. What is the concentration in mg/mL?
A. 75 mg/mL B. 37.5 mg/mL C. 150 mg/mL D. 85 mg/mL
Answer: A — 75 mg/mL
Rationale: Concentration = 750 mg ÷ 10 mL = 75 mg/mL.
12) Round 1.234 to the nearest hundredth.
A. 1.23 B. 1.2 C. 1.23 D. 1.33
Answer: A — 1.23
Rationale: The hundredths place is retained and the next digit determines rounding, giving 1.23.
Original educational practice material • Not a clinical order or prescribing guide Page 3
, Foundations: Units & Conversions — Practice Set 2
Choose the best mathematical answer. These are fictional educational examples.
5) A fictional practice infusion contains 250 mL to be completed over 2 hours. What is the mathematical rate in mL/hr?
A. 125 mL/hr B. 150 mL/hr C. 100 mL/hr D. 250 mL/hr
Answer: A — 125 mL/hr
Rationale: Rate = volume ÷ time = 250 ÷ 2 = 125 mL/hr.
6) Convert 0.5 g to mg.
A. 500 mg B. 50 mg C. 5000 mg D. 600 mg
Answer: A — 500 mg
Rationale: 1 g = 1,000 mg, so 0.5 g × 1,000 = 500 mg.
7) Convert 0.4 mg to micrograms (mcg).
A. 400 mcg B. 4 mcg C. 40000 mcg D. 450 mcg
Answer: A — 400 mcg
Rationale: 1 mg = 1,000 mcg, so 0.4 mg × 1,000 = 400 mcg.
8) Convert 120 minutes to hours.
A. 2 hr B. 2.5 hr C. 1.5 hr D. 4 hr
Answer: A — 2 hr
Rationale: 120 ÷ 60 = 2 hour(s).
9) What is 15% of 500 mL in this fictional concentration exercise?
A. 75 mL B. 80 mL C. 70 mL D. 150 mL
Answer: A — 75 mL
Rationale: 15/100 × 500 = 75 mL.
10) A practice stock has 20 mg per mL. How many mL correspond to 40 mg?
A. 2 mL B. 3 mL C. 4 mL D. 1 mL
Answer: A — 2 mL
Rationale: (40 mg) × (1 mL/20 mg) = 2 mL; the mg units cancel.
Original educational practice material • Not a clinical order or prescribing guide Page 4
