UCAT Quantitative 2 — Questions and Answers
Question 1: A train travels 240 km in 3 hours. At the same speed, how far will it travel in 5 hours?
- 360 km
- 400 km (Correct answer)
- 420 km
- 480 km
Correct answer: 400 km
Speed is 80 km/h, so in 5 hours it covers 80 x 5 = 400 km.
Question 2: A shirt costs £40 after a 20% discount. What was its original price?
- £48
- £50 (Correct answer)
- £52
- £60
Correct answer: £50
£40 is 80% of the original, so the original is 40 / 0.8 = £50.
Question 3: If 5 workers build a wall in 12 days, how long would 6 workers take at the same rate?
- 8 days
- 9 days
- 10 days (Correct answer)
- 14 days
Correct answer: 10 days
Total work is 60 worker-days, so 6 workers take 60 / 6 = 10 days.
Question 4: What is 15% of 260?
- 36
- 39 (Correct answer)
- 42
- 45
Correct answer: 39
15% of 260 = 0.15 x 260 = 39.
Question 5: A recipe for 4 people needs 600 g of flour. How much flour is needed for 10 people?
- 1200 g
- 1350 g
- 1500 g (Correct answer)
- 1800 g
Correct answer: 1500 g
Per person needs 150 g, so 10 people need 150 x 10 = 1500 g.
Question 6: A car's value drops from £18,000 to £13,500. What is the percentage decrease?
- 20%
- 22.5%
- 25% (Correct answer)
- 30%
Correct answer: 25%
The drop is £4,500, and 4,500 / 18,000 = 0.25, so a 25% decrease.
Question 7: The ratio of cats to dogs in a shelter is 3:5. If there are 24 cats, how many dogs are there?
- 30
- 36
- 40 (Correct answer)
- 45
Correct answer: 40
Each ratio part equals 8 (24 / 3), so dogs = 5 x 8 = 40.
UCAT Quantitative 2
A train travels 240 km in 3 hours.
At the same speed, how far will it travel in 5 hours?