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Nursing Math Made Simple: Safe Dose, IV Drip, and Pediatric Calculations

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This comprehensive nursing mathematics document contains over 180 detailed questions and answers covering essential medication calculations that every nursing professional must master. The guide is systematically organized into six key sections: Basic Dose Calculations, IV Drip Rate Calculations, Pediatric Calculations, Unit Conversions, Concentration and Dilution problems, and Complex Multi-Step Problems. Each question includes not only the correct answer but also step-by-step explanations showing the mathematical reasoning and formulas used, making it an invaluable learning tool for both nursing students and practicing nurses. The document covers real-world scenarios including medication dosing, IV therapy rates, pediatric weight-based calculations, unit conversions between metric and imperial systems, concentration percentages, and complex multi-drug protocols. Advanced topics include critical care calculations for vasopressors, chemotherapy dosing, TPN calculations, and specialized procedures like CRRT and blood transfusions. This resource serves as both a study guide for nursing exams and a practical reference for clinical practice, ensuring safe and accurate medication administration in all healthcare settings.

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Institution
RN Math
Course
RN math

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Nursing Math Made Simple: Safe Dose, IV
Drip, and Pediatric Calculations

Basic Dose Calculations
Question 1

A patient needs 250 mg of medication. The available tablets are 125 mg each. How many
tablets should be administered?

Answer: 2 tablets

Explanation: Use the formula: Desired dose ÷ Available dose = Number of tablets 250 mg ÷
125 mg = 2 tablets

Question 2

Order: Amoxicillin 500 mg PO q8h. Available: Amoxicillin 250 mg capsules. How many
capsules per dose?

Answer: 2 capsules

Explanation: 500 mg (desired) ÷ 250 mg (available) = 2 capsules per dose

Question 3

A physician orders 0.75 mg of digoxin. Available tablets are 0.25 mg. How many tablets
needed?

Answer: 3 tablets

Explanation: 0.75 mg ÷ 0.25 mg = 3 tablets

Question 4

Order: Furosemide 80 mg PO daily. Available: 40 mg tablets. Calculate the number of
tablets.

Answer: 2 tablets

Explanation: 80 mg ÷ 40 mg = 2 tablets daily

Question 5

A patient requires 1.5 g of medication. Available: 500 mg tablets. How many tablets?

,Answer: 3 tablets

Explanation: First convert: 1.5 g = 1500 mg. Then: 1500 mg ÷ 500 mg = 3 tablets

Question 6

Order: Acetaminophen 650 mg. Available: 325 mg tablets. How many tablets?

Answer: 2 tablets

Explanation: 650 mg ÷ 325 mg = 2 tablets

Question 7

A patient needs 0.125 mg of medication. Available: 0.25 mg tablets (scored). How many
tablets?

Answer: 0.5 tablets (½ tablet)

Explanation: 0.125 mg ÷ 0.25 mg = 0.5 tablets. Since the tablet is scored, it can be split in
half.

Question 8

Order: Prednisone 15 mg daily. Available: 5 mg tablets. Calculate tablets needed.

Answer: 3 tablets

Explanation: 15 mg ÷ 5 mg = 3 tablets

Question 9

A physician orders 0.4 mg of medication. Available: 0.2 mg tablets. How many tablets?

Answer: 2 tablets

Explanation: 0.4 mg ÷ 0.2 mg = 2 tablets

Question 10

Order: Metformin 1000 mg BID. Available: 500 mg tablets. How many tablets per dose?

Answer: 2 tablets per dose

Explanation: 1000 mg ÷ 500 mg = 2 tablets per dose (BID means twice daily)

Question 11

A patient needs 30 mg of medication. Available: 15 mg/5 mL liquid. How many mL?

,Answer: 10 mL

Explanation: Use proportion: 15 mg : 5 mL = 30 mg : x mL Cross multiply: 15x = 150, x =
10 mL

Question 12

Order: Potassium chloride 40 mEq. Available: 20 mEq/15 mL. Calculate mL needed.

Answer: 30 mL

Explanation: 20 mEq : 15 mL = 40 mEq : x mL Cross multiply: 20x = 600, x = 30 mL

Question 13

A patient requires 75 mg of liquid medication. Available: 25 mg/5 mL. How many mL?

Answer: 15 mL

Explanation: 25 mg : 5 mL = 75 mg : x mL Cross multiply: 25x = 375, x = 15 mL

Question 14

Order: Amoxicillin suspension 400 mg. Available: 250 mg/5 mL. Calculate mL needed.

Answer: 8 mL

Explanation: 250 mg : 5 mL = 400 mg : x mL Cross multiply: 250x = 2000, x = 8 mL

Question 15

A physician orders 0.5 mg of medication. Available: 0.25 mg/mL. How many mL?

Answer: 2 mL

Explanation: 0.25 mg : 1 mL = 0.5 mg : x mL Cross multiply: 0.25x = 0.5, x = 2 mL




IV Drip Rate Calculations
Question 16

Order: 1000 mL D5W to infuse over 8 hours. Drop factor: 15 gtt/mL. Calculate drops per
minute.

Answer: 31 gtt/min

, Explanation: Formula: (Volume × Drop factor) ÷ (Time in minutes) (1000 × 15) ÷ (8 × 60)
= 15000 ÷ 480 = 31.25 ≈ 31 gtt/min

Question 17

A patient needs 500 mL NS over 4 hours. Drop factor: 20 gtt/mL. Calculate gtt/min.

Answer: 42 gtt/min

Explanation: (500 × 20) ÷ (4 × 60) = 10000 ÷ 240 = 41.67 ≈ 42 gtt/min

Question 18

Order: 250 mL to infuse over 2 hours. Drop factor: 10 gtt/mL. Calculate drops per minute.

Answer: 21 gtt/min

Explanation: (250 × 10) ÷ (2 × 60) = 2500 ÷ 120 = 20.83 ≈ 21 gtt/min

Question 19

Infuse 1500 mL over 12 hours using a 15 gtt/mL set. Calculate gtt/min.

Answer: 31 gtt/min

Explanation: (1500 × 15) ÷ (12 × 60) = 22500 ÷ 720 = 31.25 ≈ 31 gtt/min

Question 20

Order: 100 mL to run over 30 minutes. Drop factor: 60 gtt/mL. Calculate gtt/min.

Answer: 200 gtt/min

Explanation: (100 × 60) ÷ 30 = 6000 ÷ 30 = 200 gtt/min

Question 21

A patient receives 750 mL over 6 hours. Drop factor: 12 gtt/mL. Calculate drops per minute.

Answer: 25 gtt/min

Explanation: (750 × 12) ÷ (6 × 60) = 9000 ÷ 360 = 25 gtt/min

Question 22

Order: 2000 mL D5½NS over 24 hours. Drop factor: 15 gtt/mL. Calculate gtt/min.

Answer: 21 gtt/min

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RN math
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RN math

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