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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 table shows: Treatment A, B, C with costs £200, £350, £150 and success rates 70%, 85%, 60%. Which has the best cost per percentage point of success?

    Answer: Treatment A at £2.86 per percentage point

    Cost per % success: A = 200/70 = £2.86, B = 350/85 = £4.12, C = 150/60 = £2.50. Treatment C is actually cheapest per percentage point, not A. Correction: C = £2.50 is lowest. The correct answer should be C.

  2. A mortality rate is expressed as 15 per 1,000. In a population of 45,000, how many deaths are expected?

    Answer: 675

    Deaths = (15/1,000) × 45,000 = 15 × 45 = 675.

  3. An odds ratio (OR) of 0.4 for a protective intervention means:

    Answer: The odds of disease are 60% lower in the treated group

    OR < 1 indicates a protective effect. OR = 0.4 means the odds of disease in the treated group are 0.4 times (i.e., 60% lower than) those in the untreated group.

  4. A chart shows that 40% of hospital admissions are aged 65+. The over-65 population is 18% of the total. What does this suggest?

    Answer: Older people are disproportionately represented in hospital admissions

    If 18% of the population accounts for 40% of admissions, that group is using hospital services at a rate far above their population share — classic disproportionate representation.

  5. Data shows: GP consultations per patient per year: England mean = 5.1, median = 3. What does this distribution suggest?

    Answer: A small number of patients have very high consultation rates, skewing the mean upward

    When the mean is substantially higher than the median, the distribution is positively skewed — a small group of high users pulls the mean up while most patients consult fewer times.

  6. A drug reduces LDL cholesterol by 1.2 mmol/L on average (95% CI: 0.9 to 1.5). Another drug reduces it by 0.8 mmol/L (95% CI: 0.5 to 1.1). Do the intervals overlap?

    Answer: Yes — between 0.9 and 1.1, both CIs overlap

    Drug 1 CI: 0.9–1.5. Drug 2 CI: 0.5–1.1. They overlap in the range 0.9–1.1. Overlapping CIs mean the difference may not be statistically significant.

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