UCAT Quantitative Reasoning 6

Question 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?

Accepted Answer

Treatment A at £2.86 per percentage point

Answer

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.

Question 2

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

Accepted Answer

675

Answer

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

Question 3

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

Accepted Answer

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

Answer

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.

Question 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?

Accepted Answer

Older people are disproportionately represented in hospital admissions

Answer

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.

Question 5

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

Accepted Answer

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

Answer

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.

UCAT Practice Test

UCAT Practice Test

UCAT Quantitative Reasoning 6