UCAT Quantitative Reasoning 3 — Questions and Answers
Question 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)?
- 23.5
- 24.5 (Correct answer)
- 25.5
- 26.5
Correct answer: 24.5
BMI = 75 ÷ (1.75²) = 75 ÷ 3.0625 ≈ 24.5.
Question 2: A hospital reduces its readmission rate from 12% to 9%. What is the percentage point reduction?
- 2 pp
- 3 pp (Correct answer)
- 4 pp
- 25%
Correct answer: 3 pp
The readmission rate dropped from 12% to 9%, which is a 3 percentage point reduction.
Question 3: A doctor works 48 hours per week over 4 days. How many hours does she work per day?
- 10
- 11
- 12 (Correct answer)
- 13
Correct answer: 12
48 hours ÷ 4 days = 12 hours per day.
Question 4: A clinical budget of $500,000 is divided between staffing (60%), equipment (25%), and training (15%). How much is allocated to equipment?
- $100,000
- $115,000
- $125,000 (Correct answer)
- $150,000
Correct answer: $125,000
25% of $500,000 = 0.25 × $500,000 = $125,000 for equipment.
Question 5: If 1 in 8 people in a population of 4,000 are at risk of a condition, how many people are at risk?
- 400
- 450
- 500 (Correct answer)
- 550
Correct answer: 500
4,000 ÷ 8 = 500 people are at risk.
Question 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?
- 55
- 60 (Correct answer)
- 65
- 70
Correct answer: 60
Total days = 5 × 4 = 20; 1,200 ÷ 20 = 60 patients per day.
UCAT Quantitative Reasoning 3
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)?