Frontline National Test Mathematical Reasoning 2 — Questions and Answers
Question 1: A crime scene is 3 blocks north and 4 blocks east of the police station. What is the straight-line distance from the station to the crime scene?
- 3 blocks
- 4 blocks
- 5 blocks (Correct answer)
- 7 blocks
Correct answer: 5 blocks
Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 blocks.
Question 2: An officer's patrol area is 6 square miles. If 25% is residential and 35% is commercial, how many square miles are industrial?
- 1.5
- 2.0
- 2.4 (Correct answer)
- 2.5
Correct answer: 2.4
100% - 25% - 35% = 40% industrial; 40% of 6 = 2.4 square miles.
Question 3: A police officer earns $52,000 per year. What is the officer's approximate monthly salary?
- $4,000.00
- $4,166.67
- $4,333.33 (Correct answer)
- $4,500.00
Correct answer: $4,333.33
$52,000 ÷ 12 months = $4,333.33 per month.
Question 4: During traffic stops, 3 out of every 5 vehicles checked had minor violations. If an officer checked 45 vehicles, how many had minor violations?
- 15
- 27 (Correct answer)
- 30
- 33
Correct answer: 27
(3/5) × 45 = 27 vehicles with minor violations.
Question 5: A police report shows burglaries increased by 20% from last year's total of 150. How many burglaries occurred this year?
- 160
- 170
- 180 (Correct answer)
- 190
Correct answer: 180
150 × 1.20 = 180 burglaries this year.
Question 6: An officer needs to travel 24 miles in 30 minutes to reach an emergency. What average speed must the officer maintain?
- 36 mph
- 42 mph
- 48 mph (Correct answer)
- 60 mph
Correct answer: 48 mph
30 minutes = 0.5 hours; 24 miles ÷ 0.5 hours = 48 mph.
Question 7: A patrol unit averages 3 calls per hour. In a 10-hour shift with 24 calls, how many hours did the officer have without any calls?
- 2 (Correct answer)
- 3
- 4
- 6
Correct answer: 2
24 calls ÷ 3 calls per hour = 8 hours busy; 10 - 8 = 2 hours without calls.
Frontline National Test Mathematical Reasoning 2
A crime scene is 3 blocks north and 4 blocks east of the police station.
What is the straight-line distance from the station to the crime scene?