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Common Registration Assessment · Topic deep-dive

GPhC IV Infusion Calculation Questions

IV infusion rate calculations are a Part 1 staple and a recurring Board of Assessors weak area — specifically named in November 2025 feedback as “IV infusion rate unit mismatches.” The patterns the GPhC tests are predictable; the candidates who fail this section are usually getting the unit conversions wrong, not the underlying maths.


What the GPhC actually tests on this topic

  • Calculating infusion rate (mL/hour or drops/min) from a prescribed dose and concentration
  • Calculating dose delivered per minute or per hour from a known infusion rate
  • Converting between mg/mL, mcg/mL, mg/kg/min, mcg/kg/min
  • Time-to-infuse calculations and remaining-volume safety checks
  • IV bolus vs IV infusion — recognising which the question describes
  • Realistic infusion rate sense-checks (typically 1–500 mL/hour for adult peripheral lines)

Common pitfalls — from the Board of Assessors’ feedback

Unit mismatch between dose and concentration

November 2025 feedback explicitly names this as a Part 1 weak area. If the dose is in mcg/kg/min and the concentration in mg/mL, you must convert before calculating rate. The most common error is leaving the units mismatched and ending up with an infusion rate three orders of magnitude wrong.

Forgetting the remaining-volume safety check

The June 2025 feedback names this: “As part of a safety check, trainee pharmacists should be able to calculate the remaining volume to ensure the infusion is being administered correctly.” If a patient has been on an infusion at a known rate for a known time, the remaining volume should match — if it does not, the infusion is being delivered at the wrong rate.

IV bolus vs infusion confusion

A bolus is a total dose given over a short fixed time. An infusion involves rate, duration, and a final volume. The Board of Assessors flagged this distinction in June 2025. Read the stem twice — the verbs and timings tell you which it is.

Missing the realistic-rate sense-check

An adult peripheral IV infusion typically runs at 1–500 mL/hour. A central line may run faster. If your answer is 5,000 mL/hour or 0.05 mL/hour, you have a unit error. Always sense-check the final number against a realistic clinical rate.


Sample calculation questions

CRA-style practice questions, not real exam questions. The Board of Assessors does not endorse third-party question banks.

IV infusion calculations · Sample 1Hard

A 62 kg patient with an eGFR of 8 mL/min/1.73m² is prescribed amikacin at 15 mg/kg once daily. The BNF recommends a maximum single dose of 1500 mg and the following renal dose adjustments: eGFR 0-14 mL/min/1.73m²: reduce to 25% of normal dose. Amikacin injection is available as 50 mg/mL in 2 mL vials. What is the correct amikacin dose for this patient?

  1. A. 232.5 mg
  2. B. 465 mg
  3. C. 58.12 mg
  4. D. 77.42 mg
  5. E. 2325 mg
Show worked answer

Correct answer: A

Step 1: Calculate total daily dose • Total daily dose = Dose per kg × Weight • 2 mg/kg/day × 60 kg = 120 mg/day Step 2: Divide by number of doses • Dose per administration = Total daily dose ÷ Number of doses • 120 mg ÷ 2 = 60 mg per dose Answer: 60 mg given twice daily (BD) Why other answers are wrong: • 30 mg - Would be correct if given QDS (4 times daily) • 120 mg - This is the total daily dose, not per dose • 180 mg - Calculation error • 240 mg - This would be if no division was applied and weight doubled Key concept: "Divided doses" • "In 2 divided doses" = BD (twice daily) • "In 3 divided doses" = TDS (three times daily) • "In 4 divided doses" = QDS (four times daily) Formula: Dose per administration = (mg/kg/day × weight) ÷ number of doses Exam tip: Read carefully whether the question asks for "total daily dose" or "dose per administration" - these are commonly confused.
IV infusion calculations · Sample 2Hard

A patient is started on carbamazepine for epilepsy — initiation using the following titration schedule: 100 mg twice daily for 7 days; 200 mg twice daily for 7 days; 300 mg twice daily for 14 days; 400 mg twice daily for 28 days. Carbamazepine is available as 100 mg tablets. Tablets come in packs of 84. How many packs should be dispensed for the primary drug?

  1. A. 1.67 pack(s) of 84
  2. B. 5 pack(s) of 84
  3. C. 3.33 pack(s) of 84
  4. D. 10 pack(s) of 84
  5. E. 20 pack(s) of 84
Show worked answer

Correct answer: B

Tablets/doses per day = 1. Duration = 30 days. Total = 1 × 30 = 30.

IV infusion calculations — frequently asked

How do I avoid unit mismatches in IV calculations?

Write down every unit in the stem before doing any maths: weight in kg, dose in mg or mcg, per kg or absolute, per minute or per hour, concentration in mg/mL or mcg/mL. Convert everything to consistent units first, then do the calculation. Most failed IV calc questions come from doing the maths before fixing the units.

What is a remaining-volume safety check?

A check that the volume left in the infusion bag matches what should remain given the prescribed rate and the time elapsed. If a 1,000 mL bag has been running at 100 mL/hour for 4 hours, 600 mL should remain. If the bag shows 400 mL remaining, the rate is wrong — either the pump is set incorrectly or the bag was hung incorrectly. The Board of Assessors expects you to do this check as part of every IV calculation.

How do I convert mcg/kg/min to mL/hour?

In four steps: (1) calculate the dose per minute = mcg/kg/min × weight in kg. (2) Convert to dose per hour = dose per minute × 60. (3) Convert dose units to match concentration (e.g. mcg to mg). (4) Calculate volume per hour = dose per hour ÷ concentration (mg/mL). Sense-check the final number is in the realistic 1–500 mL/hour range.


Practise iv infusion calculations questions in context

Across the full bank of GPhC exam questions — every format, with worked answers grounded in the Board of Assessors’ published feedback.

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