Quantitative Reasoning Flashcards

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

Answer: 150 mg

Dose = 5 × 30 = 150 mg.

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?

Answer: 1,200

Smokers = 20,000 × 0.30 = 6,000. Cancer = 6,000 × 1/5 = 1,200.

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?

Answer: 58,320

Year 1: 50,000 × 1.08 = 54,000. Year 2: 54,000 × 1.08 = 58,320.

From a frequency table: scores 1–3 = 15 students, 4–6 = 25 students, 7–9 = 10 students. What percentage scored 4–6?

Answer: 50%

Total = 15 + 25 + 10 = 50. Percentage = 25/50 × 100 = 50%.

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?

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.

NHS spending per person: England £2,300, Scotland £2,700, Wales £2,500, Northern Ireland £2,600. What is the range?

Answer: £400

Range = highest − lowest = £2,700 − £2,300 = £400.