Mathematical Reasoning Flashcards
7 cards from real Frontline National Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematical Reasoning flashcards as text
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?
Answer: 5 blocks
Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 blocks.
An officer's patrol area is 6 square miles. If 25% is residential and 35% is commercial, how many square miles are industrial?
Answer: 2.4
100% - 25% - 35% = 40% industrial; 40% of 6 = 2.4 square miles.
A police officer earns $52,000 per year. What is the officer's approximate monthly salary?
Answer: $4,333.33
$52,000 ÷ 12 months = $4,333.33 per month.
During traffic stops, 3 out of every 5 vehicles checked had minor violations. If an officer checked 45 vehicles, how many had minor violations?
Answer: 27
(3/5) × 45 = 27 vehicles with minor violations.
A police report shows burglaries increased by 20% from last year's total of 150. How many burglaries occurred this year?
Answer: 180
150 × 1.20 = 180 burglaries this year.
An officer needs to travel 24 miles in 30 minutes to reach an emergency. What average speed must the officer maintain?
Answer: 48 mph
30 minutes = 0.5 hours; 24 miles ÷ 0.5 hours = 48 mph.
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?
Answer: 2
24 calls ÷ 3 calls per hour = 8 hours busy; 10 - 8 = 2 hours without calls.