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Quantitative Reasoning Flashcards

6 cards from real UCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A patient's BMI is calculated as weight (kg) ÷ height² (m²). If a patient weighs 75 kg and is 1.75 m tall, what is their BMI (rounded to one decimal place)?

    Answer: 24.5

    BMI = 75 ÷ (1.75²) = 75 ÷ 3.0625 ≈ 24.5.

  2. A hospital reduces its readmission rate from 12% to 9%. What is the percentage point reduction?

    Answer: 3 pp

    The readmission rate dropped from 12% to 9%, which is a 3 percentage point reduction.

  3. A doctor works 48 hours per week over 4 days. How many hours does she work per day?

    Answer: 12

    48 hours ÷ 4 days = 12 hours per day.

  4. A clinical budget of $500,000 is divided between staffing (60%), equipment (25%), and training (15%). How much is allocated to equipment?

    Answer: $125,000

    25% of $500,000 = 0.25 × $500,000 = $125,000 for equipment.

  5. If 1 in 8 people in a population of 4,000 are at risk of a condition, how many people are at risk?

    Answer: 500

    4,000 ÷ 8 = 500 people are at risk.

  6. A clinic runs for 5 days a week. Over 4 weeks it sees 1,200 patients. What is the average number of patients seen per day?

    Answer: 60

    Total days = 5 × 4 = 20; 1,200 ÷ 20 = 60 patients per day.

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Sources & references

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  1. ucat.ac.uk — Eligibility, score release, score validity, fees, retake policy · verified Oct 2026