UCAT Quantitative 3 — Questions and Answers
Question 1: A rectangle has length 12 cm and width 7 cm. What is its area?
- 38 cm²
- 76 cm²
- 84 cm² (Correct answer)
- 96 cm²
Correct answer: 84 cm²
Area = length x width = 12 x 7 = 84 cm².
Question 2: If £500 is invested at 4% simple interest per year, how much interest is earned after 3 years?
- £40
- £50
- £60 (Correct answer)
- £72
Correct answer: £60
Annual interest is £20, so over 3 years it is 20 x 3 = £60.
Question 3: A bag contains 4 red and 6 blue balls. What is the probability of drawing a red ball?
- 0.3
- 0.4 (Correct answer)
- 0.5
- 0.6
Correct answer: 0.4
There are 10 balls total, so P(red) = 4/10 = 0.4.
Question 4: Convert 3/8 to a percentage.
- 33.5%
- 37.5% (Correct answer)
- 40%
- 42.5%
Correct answer: 37.5%
3 / 8 = 0.375, which equals 37.5%.
Question 5: A phone plan costs £15 per month plus £0.05 per minute. What is the cost in a month with 200 minutes used?
- £20
- £25 (Correct answer)
- £30
- £35
Correct answer: £25
Minutes cost 200 x 0.05 = £10, plus £15 base = £25.
Question 6: The average of five numbers is 18. What is their total sum?
- 72
- 80
- 90 (Correct answer)
- 95
Correct answer: 90
Sum = average x count = 18 x 5 = 90.
Question 7: A map scale is 1:50,000. How many kilometres does 4 cm on the map represent?
- 1 km
- 2 km (Correct answer)
- 4 km
- 5 km
Correct answer: 2 km
4 cm represents 200,000 cm = 2,000 m = 2 km.
UCAT Quantitative 3
A rectangle has length 12 cm and width 7 cm.
What is its area?