BCAT Numerical Reasoning 1 — Questions and Answers
Question 1: A law firm charges £200 per hour. A client's bill covers 3.5 hours of partner time and 4 hours of associate time at £120 per hour. What is the total bill?
- £1,180 (Correct answer)
- $1,050
- $980
- $1,350
Correct answer: £1,180
(3.5 × 200) + (4 × 120) = 700 + 480 = £1,180.
Question 2: In a bar exam cohort of 400 candidates, 65% passed on their first attempt. How many candidates passed?
- 260 (Correct answer)
- 240
- 280
- 300
Correct answer: 260
400 × 0.65 = 260 candidates passed on the first attempt.
Question 3: A court case was listed for 6 days. If each court day is 5.5 hours, how many total hours was the case scheduled for?
- 33 hours (Correct answer)
- 30 hours
- 36 hours
- 28.5 hours
Correct answer: 33 hours
6 × 5.5 = 33 hours total.
Question 4: Legal aid funding was cut from $4,800,000 to $3,600,000. What is the percentage decrease?
- 25% (Correct answer)
- 20%
- 30%
- 33%
Correct answer: 25%
Decrease = 1,200,000; percentage = (1,200,000 / 4,800,000) × 100 = 25%.
Question 5: A solicitor works 48 weeks per year, billing 35 hours per week. If 60% of hours are billable, how many billable hours does the solicitor work per year?
- 1,008 (Correct answer)
- 1,680
- 840
- 1,260
Correct answer: 1,008
Total hours = 48 × 35 = 1,680; billable = 1,680 × 0.60 = 1,008.
Question 6: A case settlement of $250,000 is split between three claimants in the ratio 2:3:5. How much does the largest claimant receive?
- $125,000 (Correct answer)
- $75,000
- $50,000
- $100,000
Correct answer: $125,000
Total parts = 10; largest share = 5/10 × 250,000 = $125,000.
A law firm charges £200 per hour.
A client's bill covers 3.5 hours of partner time and 4 hours of associate time at £120 per hour.
What is the total bill?