UCAT Quantitative Reasoning 4

Question 1

A drug is prescribed at 5 mg/kg body weight. A child weighs 30 kg. What dose is required?

Accepted Answer

150 mg

Answer

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?

Accepted Answer

1,200

Answer

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?

Accepted Answer

58,320

Answer

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?

Accepted Answer

50%

Answer

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?

Accepted Answer

112 bpm

Answer

Rate of increase = (140−70)/100 = 0.7 bpm/W. HR at 60 W = 70 + 0.7×60 = 70 + 42 = 112 bpm.

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