11 Med Math Worksheets - Free PDF at worksheeto.com - Free Printable

Let's solve each of these medication calculation problems step by step. These types of questions are common in nursing and pharmacy practice, involving dosage calculations, volume conversions, and drip rate (DPM) calculations.

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1. What volume is required for an injection if 750mg are ordered and stock ampules contain 200mg/ml?

Given:
- Ordered dose = 750 mg
- Stock concentration = 200 mg/mL

Use the formula:
\[
\text{Volume} = \frac{\text{Ordered dose}}{\text{Concentration}} = \frac{750\, \text{mg}}{200\, \text{mg/mL}} = 3.75\, \text{mL}
\]

✔ Answer: 3.75 mL

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2. A dose of 3500mg of medication has been ordered for a patient. The medication comes in 5g/2mL. What volume will you give the patient?

Step 1: Convert 5g to mg
5g = 5000 mg

So, concentration = 5000 mg / 2 mL = 2500 mg/mL

Now calculate volume:
\[
\text{Volume} = \frac{3500\, \text{mg}}{2500\, \text{mg/mL}} = 1.4\, \text{mL}
\]

✔ Answer: 1.4 mL

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3. A flask of 1L of 4% dextrose in saline is required over 6 hrs with a DF of 15. How many DPM is this?

Definitions:
- DF = Drop Factor (drops per mL)
- DPM = Drops Per Minute
- Volume = 1 L = 1000 mL
- Time = 6 hours = 360 minutes
- DF = 15 gtt/mL

Formula:
\[
\text{DPM} = \frac{\text{Volume (mL)} \times \text{DF}}{\text{Time (min)}} = \frac{1000 \times 15}{360} = \frac{15000}{360} \approx 41.67
\]

Round to nearest whole number → 42 DPM

✔ Answer: 42 DPM

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4. A dose of 4500mg of medication has been ordered for a patient. The medication comes in 5g/0.3mL. What volume will you give the patient?

Convert 5g to mg:
5g = 5000 mg

So, concentration = 5000 mg / 0.3 mL

Now:
\[
\text{Volume} = \frac{4500\, \text{mg}}{5000\, \text{mg}/0.3\, \text{mL}} = \frac{4500}{5000} \times 0.3 = 0.9 \times 0.3 = 0.27\, \text{mL}
\]

✔ Answer: 0.27 mL

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5. What volume is required for an injection if 500mg are ordered and stock ampules contain 250mg/mL?

\[
\text{Volume} = \frac{500\, \text{mg}}{250\, \text{mg/mL}} = 2\, \text{mL}
\]

✔ Answer: 2 mL

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6. What volume is required for an injection if 600mg are ordered and stock ampules contain 350mg/mL?

\[
\text{Volume} = \frac{600}{350} = 1.714... \approx 1.71\, \text{mL}
\]

✔ Answer: 1.71 mL (or 1.7 mL if rounded)

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7. A dose of 2g of medication has been ordered for a patient. The medication comes in 4g/0.4mL. What volume will you give the patient?

Convert 2g to grams — already in same unit.

\[
\text{Volume} = \frac{2\, \text{g}}{4\, \text{g}/0.4\, \text{mL}} = \frac{2}{4} \times 0.4 = 0.5 \times 0.4 = 0.2\, \text{mL}
\]

✔ Answer: 0.2 mL

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8. A flask of 1.5L of 0.9% saline is required over 8 hrs with a DF of 20. How many DPM is this?

- Volume = 1.5 L = 1500 mL
- Time = 8 hours = 480 minutes
- DF = 20 gtt/mL

\[
\text{DPM} = \frac{1500 \times 20}{480} = \frac{30000}{480} = 62.5
\]

Round to nearest whole number → 63 DPM

✔ Answer: 63 DPM

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✔ Final Answers Summary:

1. 3.75 mL
2. 1.4 mL
3. 42 DPM
4. 0.27 mL
5. 2 mL
6. 1.71 mL
7. 0.2 mL
8. 63 DPM

Let me know if you'd like these explained in a different format or need help understanding any concept!