Medication Dosage Calculations

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NCLEX-PN › Medication Dosage Calculations

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1

A 63-year-old client with pneumonia is ordered azithromycin 0.5 g PO once daily. The pharmacy supplies azithromycin 250 mg tablets. Convert the prescribed dosage into the available concentration (how many tablets per dose).

4 tablets

0.5 tablet

2 tablets

1 tablet

Explanation

This question tests medication dosage calculation skills. The key calculation principle is unit conversion from grams to milligrams and then to number of tablets. The correct answer of 2 tablets is calculated by converting 0.5 g to 500 mg and dividing by 250 mg per tablet (500 / 250 = 2). Choice A (1 tablet) results from not converting grams; choice C (0.5 tablet) from halving erroneously; choice D (4 tablets) from misconversion. The formula used is number of tablets = (ordered dose in mg) / (mg per tablet). Convert all units to match before calculating. A transferable strategy is to always convert to the smallest unit (e.g., mg) before dividing by the available strength.

2

A 4-year-old child weighs 18 kg and is diagnosed with acute otitis media. The provider orders amoxicillin $45\ \text{mg/kg/day}$ PO divided q12h; the safe range is $40$$50\ \text{mg/kg/day}$. The pharmacy supplies amoxicillin suspension $400\ \text{mg}/5\ \text{mL}$. What is the correct volume to administer per dose?

10.1 mL per dose

2.0 mL per dose

20.3 mL per dose

5.1 mL per dose

Explanation

This question tests medication dosage calculation skills. The key calculation principle is weight-based dosing with division for frequency and conversion to volume using the suspension concentration. The correct answer of 5.1 mL per dose is calculated by first determining the daily dose (45 mg/kg/day × 18 kg = 810 mg/day), dividing by 2 for q12h (405 mg/dose), and then converting to volume ((405 mg / 400 mg) × 5 mL ≈ 5.1 mL). Choice A (2.0 mL) results from using the safe range minimum without division; choice C (10.1 mL) from not dividing the daily dose; choice D (20.3 mL) from using the full daily dose without conversion. The formula used is dose required = (prescribed mg/kg/day × weight) / doses per day, then volume = (dose / concentration) × volume per concentration unit. Verify the dose is within the safe range of 40–50 mg/kg/day before administration. A transferable strategy is to always calculate the total daily dose first, divide by the number of doses, and then apply the concentration ratio for accurate volume.

3

A 57-year-old client with pain is prescribed morphine 6 mg IM. The vial is labeled morphine 10 mg/mL. What is the correct volume to administer?

1.6 mL

0.4 mL

0.6 mL

1.0 mL

Explanation

This question tests medication dosage calculation skills. The key calculation principle is dose conversion to volume using vial concentration. The correct answer of 0.6 mL is calculated by dividing 6 mg by 10 mg/mL (6 / 10 = 0.6 mL). Choice A (0.4 mL) results from using 4 mg; choice C (1.0 mL) from not dividing; choice D (1.6 mL) from miscalculation. The formula used is volume = ordered / concentration. Use appropriate syringe. A transferable strategy is to divide dose by mg per mL directly.

4

A 38-year-old client with nausea is prescribed ondansetron 4 mg PO now. The available medication is ondansetron ODT 8 mg. How many tablets should the client receive?

2 tablets

0.5 tablet

1 tablet

1.5 tablets

Explanation

This question tests medication dosage calculation skills. The key calculation principle is dose conversion to fraction of a tablet. The correct answer of 0.5 tablet is calculated by dividing the ordered dose (4 mg) by the tablet strength (8 mg), yielding 4 / 8 = 0.5. Choice A (1 tablet) results from not dividing; choice B (2 tablets) from doubling; choice D (1.5 tablets) from miscalculation. The formula used is number of tablets = ordered dose / dose per tablet. Check if the tablet is scored for halving. A transferable strategy is to use the ratio method: ordered over available to determine fractions accurately.

5

A 66-year-old client is prescribed levothyroxine 0.075 mg PO daily. The pharmacy supplies levothyroxine 25 mcg tablets. Convert the prescribed dosage into the available concentration (how many tablets per dose).

3 tablets

2 tablets

0.75 tablet

1 tablet

Explanation

This question tests medication dosage calculation skills. The key calculation principle is unit conversion from mg to mcg and then to number of tablets. The correct answer of 3 tablets is calculated by converting 0.075 mg to 75 mcg and dividing by 25 mcg (75 / 25 = 3). Choice A (1 tablet) results from not converting; choice B (2 tablets) from using 37.5; choice D (0.75 tablet) from inverting. The formula used is number of tablets = (ordered in mcg) / (mcg per tablet). Convert to mcg. A transferable strategy is to standardize units to mcg for thyroid medications.

6

A 22-year-old client is prescribed cyanocobalamin 1 mg IM monthly for vitamin B12 deficiency. The vial is labeled cyanocobalamin 1,000 mcg/mL. Convert the prescribed dosage into the available concentration (what volume in mL should be administered).

2 mL

1 mL

0.1 mL

0.5 mL

Explanation

This question tests medication dosage calculation skills, specifically converting units and determining the volume to administer based on the prescribed dose and available concentration. The key calculation principle involves unit conversion from milligrams to micrograms and then applying the dosage formula to find the volume. The correct answer, 1 mL, is calculated by converting 1 mg to 1,000 mcg and dividing by the concentration of 1,000 mcg/mL, resulting in exactly 1 mL. Option A (0.1 mL) results from mistakenly converting 1 mg to 100 mcg instead of 1,000 mcg; option B (0.5 mL) arises from incorrectly halving the converted dose or misapplying the concentration; and option D (2 mL) occurs from doubling the dose or confusing mg with mcg without proper conversion. The calculation principle used is to first ensure unit consistency: 1 mg = 1,000 mcg. Then, apply the formula: volume (mL) = desired dose (mcg) / concentration (mcg/mL) = 1,000 mcg / 1,000 mcg/mL = 1 mL. A transferable calculation strategy is to always verify unit conversions using known equivalents (e.g., 1 mg = 1,000 mcg) and double-check the math to avoid common errors like misplaced decimals.

7

A 9-year-old child weighs 30 kg and is prescribed clindamycin $10\ \text{mg/kg/day}$ PO divided q8h; the safe range is $8$$20\ \text{mg/kg/day}$. The oral solution is $75\ \text{mg}/5\ \text{mL}$. What is the correct volume to administer per dose (round to the nearest tenth)?

3.3 mL per dose

13.3 mL per dose

6.7 mL per dose

10.0 mL per dose

Explanation

This question tests medication dosage calculation skills. The key calculation principle is weight-based daily dosing divided by frequency and converted to volume. The correct answer of 6.7 mL is calculated by daily dose (10 mg/kg/day × 30 kg = 300 mg/day), per dose (300 / 3 = 100 mg), volume ((100 / 75) × 5 ≈ 6.7 mL). Choice A (3.3 mL) results from halving; choice C (13.3 mL) from not dividing; choice D (10.0 mL) from misconcentration. The formula used is per dose = (mg/kg/day × weight) / doses, volume = (dose / mg) × mL. Verify safe range. A transferable strategy is to compute daily total first, divide by doses, then apply concentration ratio.

8

A 64-year-old client is prescribed potassium chloride 20 mEq PO once daily. The available liquid is potassium chloride 10 mEq/5 mL. What is the correct volume to administer per dose?

10 mL

5 mL

20 mL

15 mL

Explanation

This question tests medication dosage calculation skills. The key calculation principle is conversion from mEq to volume using liquid concentration. The correct answer of 10 mL is calculated by (20 mEq / 10 mEq) × 5 mL = 10 mL. Choice A (5 mL) results from not multiplying; choice C (15 mL) from adding; choice D (20 mL) from doubling. The formula used is volume = (ordered / conc) × volume per conc. Dilute as needed. A transferable strategy is to use ratio: ordered mEq to available mEq as x mL to 5 mL.

9

A 52-year-old client with hypertension is prescribed hydrochlorothiazide 25 mg PO daily. The available tablets are 50 mg. How many tablets should the client receive per dose?

2 tablets

0.5 tablet

1 tablet

1.5 tablets

Explanation

This question tests medication dosage calculation skills. The key calculation principle is dose conversion to fraction of a tablet. The correct answer of 0.5 tablet is calculated by dividing ordered (25 mg) by available (50 mg), yielding 25 / 50 = 0.5. Choice A (1 tablet) results from not dividing; choice B (2 tablets) from inverting; choice D (1.5 tablets) from miscalculation. The formula used is number of tablets = ordered / available. Check if scored. A transferable strategy is to set up as a ratio: ordered : available :: x : 1 tablet.

10

A 6-year-old child weighs 20 kg and has a fever. The provider orders ibuprofen $10\ \text{mg/kg}$ PO q6h PRN; do not exceed $40\ \text{mg/kg/day}$. The available liquid is ibuprofen $100\ \text{mg}/5\ \text{mL}$. What is the correct volume to administer per dose?

10 mL

5 mL

20 mL

2.5 mL

Explanation

This question tests medication dosage calculation skills. The key calculation principle is weight-based dosing converted to volume using the liquid concentration. The correct answer of 10 mL is calculated by determining the dose (10 mg/kg × 20 kg = 200 mg) and converting ((200 mg / 100 mg) × 5 mL = 10 mL). Choice A (5 mL) results from halving the dose; choice C (20 mL) from doubling; choice D (2.5 mL) from using half weight. The formula used is dose = mg/kg × weight, then volume = (dose / concentration) × volume per concentration. Verify the daily maximum is not exceeded. A transferable strategy is to calculate the mg dose first, then apply the ratio of available concentration to find volume.

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