Police Mathematics and Computation Flashcards

A patrol officer works 8-hour shifts and earns $28.50 per hour. She works 5 shifts in one week. What is her gross pay for that week?

Answer: $1,140.00

8 hours × $28.50 = $228 per shift; $228 × 5 shifts = $1,140.

A police cruiser's fuel tank holds 22 gallons. If the tank is 3/4 full, how many gallons are currently in the tank?

Answer: 16.5 gallons

22 × 3/4 = 16.5 gallons.

At a crime scene, officers count 47 shell casings in one area and 29 in another. How many shell casings are there in total?

Answer: 76

47 + 29 = 76 shell casings.

A stolen vehicle was driven 240 miles in 4 hours. What was the average speed of the vehicle?

Answer: 60 mph

Speed = Distance ÷ Time = 240 ÷ 4 = 60 mph.

A precinct has 120 officers. If 35% are assigned to day shifts, how many officers work day shifts?

Answer: 42

120 × 0.35 = 42 officers.

Evidence collected at a scene is logged at 14:35 and submitted to the lab at 17:10. How long did the officer hold the evidence?

Answer: 2 hours 35 minutes

From 14:35 to 17:10 is 2 hours and 35 minutes.

A suspect ran 3 blocks north, then 4 blocks east. If each block is 300 feet, what is the straight-line distance from the starting point?

Answer: 1,500 feet

Using the Pythagorean theorem: √((3×300)² + (4×300)²) = √(900² + 1200²) = √(810000+1440000) = √2250000 = 1,500 feet.