Numerical Reasoning

Crime statistics for Metropolis Police: Burglary 2024: 450 incidents, Burglary 2025: 540 incidents. What is the percentage increase?

• A18%
• B20%✓
• C22%
• D25%

Answer: Increase = 540 - 450 = 90. Percentage = (90/450) × 100 = 20%

A police shift has 24 officers. If 3 are on sick leave and 5 are on training, what percentage of the shift is available for duty?

• A67%✓
• B71%
• C75%
• D79%

Answer: Available officers = 24 - 3 - 5 = 16. Percentage = (16/24) × 100 = 66.67%, approximately 67%.

A town's population is 200,000. Crime survey shows 15% experienced crime in the past year. How many people experienced crime?

• A15,000
• B20,000
• C25,000
• D30,000✓

Answer: 15% of 200,000 = 0.15 × 200,000 = 30,000

Police response times: Day shift average 12 minutes, Night shift average 18 minutes. What is the ratio of day to night response time?

• A1:1.5✓
• B2:3
• C3:4
• D4:5

Answer: Ratio = 12:18. Simplify by dividing both by 6 = 2:3. Or 12/18 = 2/3 = 0.667 = 1:1.5 ratio.

Police force budget allocation: Frontline policing 55%, Administration 25%, Specialist units 20%. If total budget is £100 million, how much is allocated to specialist units?

• A£15 million
• B£20 million✓
• C£25 million
• D£30 million

Answer: 20% of £100 million = 0.20 × £100 million = £20 million

Training course attendance: Day 1 - 45 officers, Day 2 - 42 officers, Day 3 - 39 officers. What is the average attendance?

• A40
• B41
• C42✓
• D43

Answer: (45 + 42 + 39) / 3 = 126 / 3 = 42

Vehicle theft comparison: North division 180 thefts (2024), South division 240 thefts (2024). What percentage more thefts occurred in South compared to North?

• A25%
• B33%✓
• C40%
• D50%

Answer: Difference = 240 - 180 = 60. Percentage more = (60/180) × 100 = 33.3%, approximately 33%.

Arrest outcomes: Charged with offence 35%, Released on bail 40%, Released without charge 25%. If 200 people were arrested, how many were released without charge?

• A25
• B40
• C50✓
• D70

Answer: 25% of 200 = 0.25 × 200 = 50

Sick leave statistics: Officers absent due to illness: Week 1 - 8, Week 2 - 12, Week 3 - 10, Week 4 - 6. What is the median number of absences?

• A8
• B9✓
• C10
• D11

Answer: Sorted: 6, 8, 10, 12. Median of 4 values = (8+10)/2 = 18/2 = 9

Community policing officer workload: Officer A - 15 community events, Officer B - 12 community events, Officer C - 18 community events. Total workload hours: 240 hours. What is the average hours per event?

• A5.3 hours✓
• B5.7 hours
• C6.2 hours
• D6.7 hours

Answer: Total events = 15 + 12 + 18 = 45. Hours per event = 240 ÷ 45 = 5.33, approximately 5.3 hours.

Domestic abuse calls: Year 1 - 2,500 calls, Year 2 - 2,750 calls. What is the percentage increase?

• A5%
• B10%✓
• C12%
• D15%

Answer: Increase = 2,750 - 2,500 = 250. Percentage = (250/2,500) × 100 = 10%

Crimes reported per 10,000 population: City A - 420, City B - 350. What is the ratio of crime in City A to City B?

• A6:5✓
• B5:4
• C4:3
• D3:2

Answer: Ratio = 420:350. Divide both by 70 = 6:5