UCAT Quantitative Reasoning 4 — Questions and Answers
Question 1: A drug is prescribed at 5 mg/kg body weight. A child weighs 30 kg. What dose is required?
- 150 mg (Correct answer)
- 50 mg
- 300 mg
- 15 mg
Correct answer: 150 mg
Dose = 5 × 30 = 150 mg.
Question 2: A table shows that 1 in 5 smokers develops lung cancer. In a town of 20,000 where 30% smoke, how many smokers are expected to develop lung cancer?
- 1,200 (Correct answer)
- 600
- 2,400
- 4,000
Correct answer: 1,200
Smokers = 20,000 × 0.30 = 6,000. Cancer = 6,000 × 1/5 = 1,200.
Question 3: A hospital's A&E attendance increases by 8% per year. Current attendance = 50,000 per year. What is the expected attendance in 2 years?
- 58,320 (Correct answer)
- 60,000
- 58,000
- 54,000
Correct answer: 58,320
Year 1: 50,000 × 1.08 = 54,000. Year 2: 54,000 × 1.08 = 58,320.
Question 4: From a frequency table: scores 1–3 = 15 students, 4–6 = 25 students, 7–9 = 10 students. What percentage scored 4–6?
- 50% (Correct answer)
- 25%
- 40%
- 62.5%
Correct answer: 50%
Total = 15 + 25 + 10 = 50. Percentage = 25/50 × 100 = 50%.
Question 5: A graph shows that heart rate increases linearly with exercise intensity. At rest (0 W), HR = 70 bpm; at 100 W, HR = 140 bpm. What is HR at 60 W?
- 112 bpm (Correct answer)
- 126 bpm
- 98 bpm
- 140 bpm
Correct answer: 112 bpm
Rate of increase = (140−70)/100 = 0.7 bpm/W. HR at 60 W = 70 + 0.7×60 = 70 + 42 = 112 bpm.
Question 6: NHS spending per person: England £2,300, Scotland £2,700, Wales £2,500, Northern Ireland £2,600. What is the range?
- £400 (Correct answer)
- £300
- £500
- £350
Correct answer: £400
Range = highest − lowest = £2,700 − £2,300 = £400.
UCAT Quantitative Reasoning 4
A drug is prescribed at 5 mg/kg body weight.
A child weighs 30 kg.
What dose is required?