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Nursing Dosage Calculation Practice Questions

Medication math is where careful nurses still lose points: the concept is familiar, but the unit conversion, the pump rate, or the weight-based dose goes wrong under time pressure. Work the questions below — IV drip rates, mg/kg dosing, reconstitution and infusion math — and read every rationale, which shows the full setup rather than just the answer.

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Test yourself: Dosage Calculation and Medication Math

Three CMSRN practice questions on dosage calculation and medication math — tap an answer for instant feedback. The app has 5,200+, timed and scored.

Question 1

A nurse witnesses an experienced coworker repeatedly bypassing barcode scanning during medication administration for "efficiency." Patients report incorrect dosages on two occasions, though errors were caught. How should the nurse address this recurring unsafe practice?

Why D is the answer

Near-miss events with recurring protocol violations require formal documentation to prevent future harm, per TJC standards. Option A assumes good faith despite established negligence. Option B delays addressing intentional violations needing disciplinary action. Option C involves the wrong department; pharmacy doesn't manage staff compliance. Cues (repeated deliberate bypassing and actual near-misses) demand systematic tracking via incident reports, not education (B) or peer reminders (A).

Question 2

A nurse appraises a study on heparin dosing in obese patients. The study uses healthy-weight controls and reports no dosage adjustments. Which critical appraisal question is MOST essential given a renal-impaired obese patient?

Why B is the answer

Renal impairment drastically alters heparin pharmacokinetics, so applicability hinges on comorbidity consideration. Option B directly addresses this cue, which the study omitted. Option A (sample size) is secondary without representative comorbidities. Option C (outcomes) and D (randomization) are standard appraisal points but don't resolve the comorbidity mismatch. EBP appraisal prioritizes relevance to specific patient factors; here, renal status is the critical validity threat.

Question 3

A nurse administers an IV antibiotic to the wrong patient after misidentification during shift change. The patient had no allergy but received an incorrect dosage. Which system change most effectively prevents recurrence?

Why B is the answer

Cues are misidentification during shift change and wrong-patient error. Option B creates a physical barrier to misidentification, independent of handoff quality. Two identifiers (A) relies on fallible human checks. Root cause analysis (C) investigates but doesn't prevent errors. SBAR (D) improves communication but doesn't verify identity. Joint Commission NPSG.01.01.01 mandates technology to enhance accuracy. Option B addresses both timing (shift change disruption) and identification failure, while distractors depend on vigilance.

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Question 1

99 of 125. An FMEA on medication errors in oncology reveals that wrong-dose chemotherapy errors occur when verbal orders are used during emergencies. The current process relies on nurse-physician double-checks. Which RPN element requires reassessment after discovering that night-shift nurses lack chemotherapy certification?

  • A) A) Severity, due to potential toxicity in immunocompromised patients
  • B) B) Occurrence, as uncertified staff increase error likelihood
  • C) C) Detection, since double-checks may miss dosing miscalculations
  • D) D) Harm, based on error-related mortality statistics
Show rationale

Uncertified staff elevate error probability, necessitating higher occurrence scores (B) in RPN calculation. Severity (A) remains unchanged since patient vulnerability is independent of staffing. Detection (C) relates to verification processes, not certification. Harm (D) reflects outcomes, not prevention. FMEA prioritizes occurrence adjustments when staffing gaps directly cause failure modes, per ASCO safety standards for high-alert medications.

Question 2

117 of 125. A nurse manager must allocate one ICU bed between two patients: a 40-year-old single parent and a 75-year-old dementia patient with equal clinical urgency. Which resource distribution approach aligns with utilitarian ethics?

  • A) A) Prioritize the younger patient based on potential quality-adjusted life years
  • B) B) Assign the bed through randomized lottery to ensure impartiality
  • C) C) Admit the dementia patient due to higher vulnerability and acuity
  • D) D) Transfer both to another facility to avoid discretionary decision-making
Show rationale

Utilitarianism maximizes overall benefit, making quality-adjusted life years (QALY) a valid criterion when clinical factors are equal. Option A directly applies this quantitative approach. Option B ignores outcome-based ethical frameworks. Option C uses arbitrary vulnerability criteria not supported by utilitarianism. Option D avoids necessary allocation decisions. While controversial, QALY calculations are recognized in resource allocation ethics when differentiating factors are absent.

Question 3

43 of 125. A diabetic patient receiving insulin via smart pump develops tachycardia and confusion 30 minutes after starting the infusion. The pump history shows no dosage errors. Which troubleshooting step is most critical?

  • A) A) Check battery levels for pump malfunction
  • B) B) Verify insulin concentration in the reservoir
  • C) C) Assess for dislodged tubing connections
  • D) D) Review the last blood glucose reading
Show rationale

Sudden neuroglycopenic symptoms (confusion/tachycardia) suggest rapid insulin delivery, often from tubing disconnects (C) causing uncontrolled flow. Concentration checks (B) and glucose reviews (D) wouldn't explain acute changes with confirmed programming. Battery issues (A) typically trigger alarms. CMSRN protocols prioritize checking infusion integrity for high-alert medications before metabolic assessments, as disconnections can cause life-threatening overdose.

Question 4

67 of 125. A 62-year-old patient with heart failure (ejection fraction 30%) and chronic kidney disease (creatinine clearance 25 mL/min) develops severe hypokalemia (serum K+ 2.8 mEq/L) post-diuretic therapy. The provider orders IV potassium replacement. Which nursing action best addresses high-alert medication safety?

  • A) A) Administer undiluted potassium chloride via IV push over 2 minutes
  • B) B) Infuse potassium chloride 20 mEq in 100 mL normal saline over 1 hour
  • C) C) Give potassium chloride 40 mEq in 50 mL normal saline over 30 minutes
  • D) D) Dilute potassium chloride 10 mEq in 100 mL normal saline over 1 hour
Show rationale

High-alert potassium requires dilution and controlled infusion to prevent life-threatening arrhythmias. Option B follows ISMP guidelines: max concentration 10 mEq/100mL and max rate 20 mEq/hour in renal impairment. Option A risks cardiotoxicity via rapid undiluted infusion. Option C exceeds concentration limits and infusion rate for this renal function. Option D is too slow (10 mEq/hour), delaying correction of severe hypokalemia with cardiac risks. The patient's low ejection fraction and renal failure necessitate strict concentration/rate adherence to avoid hyperkalemia or tissue necrosis.

Question 5

123 of 125. Post-laminectomy patient on hydromorphone IV reports sudden-onset confusion and myoclonus 72 hours after initiation. Urine output is 20mL/hr. Which action is MOST urgent?

  • A) A) Administer naloxone for suspected opioid toxicity
  • B) B) Obtain stat renal function tests and electrolyte panel
  • C) C) Assess for bladder distention and catheterize if needed
  • D) D) Reduce hydromorphone dose by 25% and re-evaluate
Show rationale

Sudden confusion and myoclonus suggest opioid-induced neurotoxicity from metabolite accumulation, compounded by oliguria indicating acute kidney injury. Naloxone reverses life-threatening respiratory/cardiac depression risks immediately. While renal tests (B) are needed, they don't address imminent danger. Urinary retention (C) may contribute but doesn't explain neurological symptoms. Dose reduction (D) is too slow for acute toxicity. CMSRN standards mandate rapid reversal for neurological changes in opioid therapy.

Question 6

4 of 125. While preparing discharge medications for a patient with opioid use disorder (OUD) on buprenorphine therapy, the nurse notices the prescribed dosage exceeds the hospital's formulary maximum. The patient reports stable pain control and no cravings. Which action demonstrates adherence to medication safety policies?

  • A) A) Administer the dose as prescribed since the patient is stable
  • B) B) Hold the medication and page the provider for dosage clarification
  • C) C) Adjust the dose to the formulary maximum and document the change
  • D) D) Verify the order with the hospital's addiction medicine specialist
Show rationale

Policy requires verifying orders exceeding formulary limits before administration. Holding and clarifying (B) prevents potential overdose while respecting OUD treatment complexity. Option A violates safety protocols by administering an unverified high-risk medication. Option C breaches scope by independently altering controlled substance dosing. Option D causes unnecessary delay; policy mandates direct provider contact for urgent medication clarifications. The OUD history and formulary discrepancy are critical cues requiring immediate provider engagement per institutional safety standards.

Question 7

38 of 125. A patient receiving high-protein enteral formula develops BUN 42 mg/dL and urine output 20 mL/hr. Creatinine is 1.0 mg/dL. Which formula adjustment is indicated?

  • A) A) Change to renal-specific low-electrolyte formula
  • B) B) Increase free water flushes by 50% hourly
  • C) C) Switch to standard isotonic formula
  • D) D) Reduce protein content and add fiber
Show rationale

Elevated BUN with normal creatinine suggests dehydration, not renal failure. Renal formula (A) is unnecessary and may under-deliver protein. Standard formula (C) doesn't address hydration. Reducing protein (D) compromises nutrition. Increased flushes (B) correct dehydration without altering nutrition support. ASPEN guidelines prioritize hydration management before formula changes for isolated BUN elevation. Discriminating cues: adequate creatinine and acute oliguria indicate prerenal etiology.

Question 8

44 of 125. A patient who underwent abdominal aortic aneurysm repair 6 hours ago has new-onset tachycardia (HR 128 bpm), hypotension (BP 88/52 mmHg), and a temperature of 36.1°C (97°F). The surgical drain shows 50 mL serosanguinous output in the past hour. Which finding requires the most urgent intervention?

  • A) A) Urine output of 20 mL/hr via catheter
  • B) B) Respiratory rate of 24 breaths/minute
  • C) C) Restlessness and anxiety
  • D) D) Capillary refill time of 4 seconds
Show rationale

Oliguria (<30 mL/hr) indicates renal hypoperfusion in early hemorrhagic shock, requiring immediate fluid resuscitation to prevent acute kidney injury. Tachycardia, hypotension, and hypothermia align with compensated hemorrhage. Distractor B (tachypnea) may reflect pain or anxiety; C (restlessness) is subjective and early; D (delayed capillary refill) is less specific than objective renal output. AANA guidelines prioritize urine output as a key metric for perfusion. Hemorrhage control and fluid replacement take precedence over respiratory or behavioral changes in this context.

Question 9

66 of 125. An 85-year-old with diabetes, hypertension, and new Stage 3 CKD (eGFR 45 mL/min) takes metformin, glipizide, lisinopril, and hydrochlorothiazide. Which medication adjustment is most urgent to prevent polypharmacy complications?

  • A) A) Discontinue glipizide due to hypoglycemia risk with renal decline
  • B) B) Switch metformin to sitagliptin to prevent lactic acidosis
  • C) C) Reduce lisinopril dose to manage hyperkalemia concerns
  • D) D) Stop hydrochlorothiazide to correct pre-renal azotemia
Show rationale

Metformin requires dosage adjustment/discontinuation at eGFR <45 due to lactic acidosis risk per FDA. Option B correctly prioritizes this high-risk intervention. Glipizide (A) carries hypoglycemia risk but is less immediately dangerous. Lisinopril (C) may need reduction but isn't contraindicated. Hydrochlorothiazide (D) can worsen renal perfusion but stopping it without replacement risks hypertension. The cues (new CKD stage, eGFR) make metformin modification urgent while other adjustments are secondary considerations.

Question 10

9 of 125. A patient with type 2 diabetes and mild cognitive impairment is prescribed sliding-scale insulin. Which strategy best supports safe self-administration?

  • A) A) Provide a detailed flowchart of insulin algorithms for self-reference
  • B) B) Use pre-filled syringes with audible dose reminders
  • C) C) Teach carbohydrate counting with memory-enhancement techniques
  • D) D) Schedule family-administered doses after each meal
Show rationale

Pre-filled syringes reduce cognitive load and dosing errors; auditory cues compensate for memory deficits. Flowcharts (A) overwhelm impaired executive function. Carbohydrate counting (C) requires complex calculations beyond mild cognitive capacity. Family administration (D) isn't always feasible and reduces autonomy unnecessarily. AMSN protocols prioritize error-proofing methods for cognitive limitations.

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99 of 125. An FMEA on medication errors in oncology reveals that wrong-dose chemotherapy errors occur when ver…

A) A) Severity, due to potential toxicity i
B) B) Occurrence, as uncertified staff incr
C) C) Detection, since double-checks may mi
D) D) Harm, based on error-related mortalit
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