Med Math

The first 20 problems use either D/H=X     or   D/HxVolume=X.      I added in some parenteral (IV) medications, but the formula is the same. Set up the problem.

Tablet/Capsule Calculations (Oral Meds)

1. Order: 500 mg acetaminophen
   Available: 250 mg tablets
   How many tablets will you give?

2. Order: 75 mg metoprolol
   Available: 25 mg tablets
   How many tablets?

3. Order: 1 g amoxicillin
   Available: 500 mg tablets
   How many tablets?

4. Order: 0.25 mg digoxin
   Available: 0.125 mg tablets
   How many tablets?

5. Order: 300 mg clindamycin
   Available: 150 mg capsules
   How many capsules?

Liquid Oral Medications

6. Order: 250 mg erythromycin
   Available: 125 mg/5 mL
   How many mL will you give?

7. Order: 60 mg furosemide
   Available: 10 mg/mL
   How many mL?

8. Order: 150 mg ibuprofen
   Available: 100 mg/5 mL
   How many mL?

9. Order: 90 mg acetaminophen
   Available: 160 mg/5 mL
   How many mL?

10. Order: 5 mg diazepam
    Available: 2.5 mg/5 mL
    How many mL?

Injections (Parenteral Meds)

11. Order: 25 mg diphenhydramine IM
    Available: 50 mg/mL
    How many mL will you administer?

12. Order: 40 mg enoxaparin SC
    Available: 20 mg/mL
    How many mL?

13. Order: 0.5 mg epinephrine
    Available: 1 mg/mL
    How many mL?

14. Order: 2 g ceftriaxone IV
    Available: 1 g/10 mL
    How many mL?

15. Order: 75 mg ketorolac IV
    Available: 30 mg/mL
    How many mL

Powdered Medications (After Reconstitution)

16. Order: 500 mg vancomycin
    Available after reconstitution: 1,000 mg/10 mL
    How many mL will you give?

17. Order: 250 mg cefazolin
    Available after reconstitution: 500 mg/2 mL
    How many mL?

18. Order: 1.2 g penicillin G
    Available after reconstitution: 600 mg/mL
    How many mL?

Combination/Challenging Scenarios- HINT: you may need to convert first

19. Order: 1.5 g ampicillin
    Available: 500 mg/2 mL
    How many mL?

20. Order: 45 mg gentamicin
    Available: 40 mg/mL
    How many mL?

Answer Key: D/H = X

🔹 Tablet/Capsule Calculations

1. 500 mg / 250 mg = 2 tablets

2. 75 mg / 25 mg = 3 tablets

3. 1 g = 1000 mg → 1000 mg / 500 mg = 2 tablets

4. 0.25 mg / 0.125 mg = 2 tablets

5. 300 mg / 150 mg = 2 capsules

🔹 Liquid Oral Medications

6. 250 mg / 125 mg × 5 mL = 10 mL

7. 60 mg / 10 mg = 6 mL

8. 150 mg / 100 mg × 5 mL = 7.5 mL

9. 90 mg / 160 mg × 5 mL = 2.81 mL (rounded to 2.8 mL)

10. 5 mg / 2.5 mg × 5 mL = 10 mL

🔹 Injections (Parenteral)

11. 25 mg / 50 mg = 0.5 mL

12. 40 mg / 20 mg = 2 mL

13. 0.5 mg / 1 mg = 0.5 mL

14. 2 g = 2000 mg → 2000 mg / 1000 mg × 10 mL = 20 mL

15. 75 mg / 30 mg = 2.5 mL

🔹 Powdered Meds (After Reconstitution)

16. 500 mg / 1000 mg × 10 mL = 5 mL

17. 250 mg / 500 mg × 2 mL = 1 mL

18. 1.2 g = 1200 mg → 1200 mg / 600 mg = 2 mL

🔹 Combo/Challenging

19. 1.5 g = 1500 mg → 1500 mg / 500 mg × 2 mL = 6 mL

20. 45 mg / 40 mg = 1.125 mL

🔄 Dose Calculation Conversion Practice Questions.  Move the decimal point 3 spaces either right (big to little unit) or left (little to big unit). OR multiply or divide by 1000. Same thing.

These problems cover conversions between:

• Weight (mg ↔ g, mcg ↔ mg)

• Volume (mL ↔ L, tsp ↔ mL, oz ↔ mL)

• Units often used in prescriptions (kg ↔ lb, etc.)

🔹 Weight Conversions

1. Convert 2 g to mg

2. Convert 750 mg to g

3. Convert 0.5 g to mg

4. Convert 250 mcg to mg

5. Convert 1.5 mg to mcg

🔹 Volume Conversions

6. Convert 2 L to mL

7. Convert 1500 mL to L

8. Convert 5 tsp to mL

9. Convert 2 tbsp to mL

10. Convert 3 oz to mL

🔹 Weight for Dosage Based on Body Weight

11. Convert 132 lb to kg

12. A child weighs 22 kg. How many pounds is that?

13. A medication is ordered at 5 mg/kg. The patient weighs 70 kg. What is the dose in mg?

14. A medication is ordered at 2 mg/kg. The patient weighs 154 lb. What is the dose in mg?

🔹 Combined Conversions (Challenge Level)

15. Convert 0.025 g to mg

16. Convert 1000 mcg to mg

17. Convert 1.2 L to mL

18. Convert 3 tbsp to tsp

19. Convert 60 mL to oz

20. Convert 5 kg to lb

✅ Answer Key: Dose Calculation Conversion Practice

🔹 Weight Conversions

1. 2 g × 1000 = 2000 mg

2. 750 mg ÷ 1000 = 0.75 g

3. 0.5 g × 1000 = 500 mg

4. 250 mcg ÷ 1000 = 0.25 mg

5. 1.5 mg × 1000 = 1500 mcg

🔹 Volume Conversions

6. 2 L × 1000 = 2000 mL

7. 1500 mL ÷ 1000 = 1.5 L

8. 5 tsp × 5 mL = 25 mL

9. 2 tbsp × 15 mL = 30 mL

10. 3 oz × 30 mL = 90 mL

🔹 Weight for Dosage Based on Body Weight

11. 132 lb ÷ 2.2 = 60 kg

12. 22 kg × 2.2 = 48.4 lb

13. 5 mg × 70 kg = 350 mg

14. 154 lb ÷ 2.2 = 70 kg → 2 mg × 70 = 140 mg

🔹 Combined Conversions (Challenge Level)

15. 0.025 g × 1000 = 25 mg

16. 1000 mcg ÷ 1000 = 1 mg

17. 1.2 L × 1000 = 1200 mL

18. 3 tbsp × 3 tsp = 9 tsp

19. 60 mL ÷ 30 = 2 oz

20. 5 kg × 2.2 = 11 lb

CHALLENGE QUESTIONS: Combination of all the above.

Below are 20 integrated medication calculation problems that include:

• D/H = X

• Conversions (e.g., mcg ↔ mg, mL ↔ L, kg ↔ lb)

• Weight-based dosing (mg/kg)

Integrated Dose Calculation Practice – 20 Problems

📌 Use D/H = X, plus convert units when needed.

🔹 Basic + Conversion

1. Order: 0.5 g amoxicillin
   Available: 250 mg capsules
   **How many capsules will you give?

2. Order: 1000 mcg levothyroxine
   Available: 0.1 mg tablets
   **How many tablets will you give?

3. Order: 2.5 mg lorazepam
   Available: 1 mg/mL
   **How many mL will you give?

4. Order: 0.6 g erythromycin
   Available: 200 mg/5 mL
   **How many mL will you give?

5. Order: 1.2 g cefazolin IV
   Available: 500 mg vials
   **How many vials needed?

🔹 Weight-Based Dosing (mg/kg)

6. Order: Acetaminophen 15 mg/kg
   Patient weight: 20 kg
   Available: 160 mg/5 mL
   **How many mL will you give?

7. Order: Enoxaparin 1 mg/kg SC
   Patient weight: 70 kg
   Available: 100 mg/mL
   **How many mL will you give?

8. Order: Gentamicin 2.5 mg/kg IV
   Patient weight: 154 lb
   Available: 40 mg/mL
   **How many mL will you give?

9. Order: Midazolam 0.1 mg/kg IV
   Patient weight: 22 kg
   Available: 1 mg/mL
   **How many mL will you give?

10. Order: Vancomycin 15 mg/kg
    Patient weight: 88 lb
    Available: 500 mg vials
    **How many vials for one dose?

🔹 Conversions + D/H

11. Order: 0.25 mg digoxin
    Available: 250 mcg tablets
    **How many tablets?

12. Order: 400 mg ibuprofen
    Available: 0.4 g tablets
    **How many tablets?

13. Order: 600 mg clindamycin
    Available: 300 mg capsules
    **How many capsules?

14. Order: 250 mg azithromycin
    Available: 100 mg/5 mL
    **How many mL?

15. Order: 1.5 g ampicillin
    Available: 500 mg/2 mL
    **How many mL?

🔹 Challenge Questions

16. Order: Furosemide 2 mg/kg IV
    Patient weighs: 72 kg
    Available: 10 mg/mL
    **How many mL?

17. Order: Morphine 0.1 mg/kg IV
    Patient weighs: 165 lb
    Available: 2 mg/mL
    **How many mL?

18. Order: 500 mg metronidazole
    Available: 5 mL vials containing 100 mg/mL
    **How many mL?

19. Order: 0.75 g ceftriaxone
    Available: 250 mg/mL
    **How many mL?

20. Order: 1 mg lorazepam
    Available: 2 mg/mL
    **How many mL?

🔹 Basic + Conversion

1. 0.5 g = 500 mg → 500 mg ÷ 250 mg = 2 capsules

2. 1000 mcg = 1 mg → 1 mg ÷ 0.1 mg = 10 tablets

3. 2.5 mg ÷ 1 mg/mL = 2.5 mL

4. 0.6 g = 600 mg → 600 mg ÷ 200 mg × 5 mL = 15 mL

5. 1.2 g = 1200 mg → 1200 mg ÷ 500 mg = 2.4 → 3 vials (round up if not splitting)

🔹 Weight-Based Dosing (mg/kg)

6. 15 mg/kg × 20 kg = 300 mg → 300 ÷ 160 × 5 = 9.375 mL
   ✅ Answer: 9.4 mL (rounded)

7. 1 mg/kg × 70 kg = 70 mg → 70 ÷ 100 = 0.7 mL

8. 154 lb ÷ 2.2 = 70 kg → 2.5 × 70 = 175 mg → 175 ÷ 40 = 4.375 mL
   ✅ Answer: 4.4 mL (rounded)

9. 0.1 × 22 = 2.2 mg → 2.2 ÷ 1 = 2.2 mL

10. 88 lb ÷ 2.2 = 40 kg → 15 × 40 = 600 mg → 600 ÷ 500 = 1.2 vials
    ✅ Answer: 2 vials (round up if not splitting)

🔹 Conversions + D/H

11. 0.25 mg = 250 mcg → 250 mcg ÷ 250 mcg = 1 tablet

12. 0.4 g = 400 mg → 400 mg ÷ 400 mg = 1 tablet

13. 600 ÷ 300 = 2 capsules

14. 250 ÷ 100 × 5 = 12.5 mL

15. 1.5 g = 1500 mg → 1500 ÷ 500 × 2 = 6 mL

🔹 Challenge Questions

16. 2 × 72 = 144 mg → 144 ÷ 10 = 14.4 mL

17. 165 lb ÷ 2.2 = 75 kg → 0.1 × 75 = 7.5 mg → 7.5 ÷ 2 = 3.75 mL

18. 500 ÷ 100 = 5 mL

19. 0.75 g = 750 mg → 750 ÷ 250 = 3 mL

20. 1 ÷ 2 = 0.5 mL