Police Officer Law Enforcement Mathematics Questions and Answers

Question 1

An officer on patrol is driving at 65 mph.
A car passes the officer going in the same direction at a constant speed.
The officer uses a roadside marker to determine the car is pulling away at a rate of 15 mph.
Which of the following equations correctly represents the speed of the other car (C)?

Accepted Answer

C = 65 + 15

Answer

C = 65 - 15

Answer

C = 65 / 15

Answer

C = 15 - 65

Question 2

An investigator is sketching a crime scene in a rectangular room that is 25 feet long and 18 feet wide. A piece of evidence is located by taking two measurements from one of the corners. The first measurement is 8 feet along the length of the room, and the second is 5 feet along the width. What is the total area of the room?

Accepted Answer

450 square feet

Answer

40 square feet

Answer

86 square feet

Answer

144 square feet

Question 3

An officer responds to an accident scene and measures a single, continuous skid mark of 120 feet on a dry asphalt road. Using the common formula S = √(30 * f * d), where S is speed in mph, 'f' is the drag factor, and 'd' is the skid distance in feet, what was the vehicle's minimum initial speed if the drag factor ('f') for dry asphalt is 0.7?

Accepted Answer

~50.2 mph

Answer

~35.5 mph

Answer

~65.7 mph

Answer

~25.2 mph

Question 4

Officer A and Officer B start from the same police station at the same time, heading in opposite directions on a straight highway. Officer A travels at 55 mph, and Officer B travels at 60 mph. How much time will have passed when they are 230 miles apart?

Accepted Answer

2.0 hours

Answer

1.5 hours

Answer

2.5 hours

Answer

1.75 hours

Question 5

An officer collects 48 items of evidence from a large crime scene. If 3/4 of the items are fingerprints and the rest are other forms of trace evidence, how many items are NOT fingerprints?

Accepted Answer

12

Answer

36

Answer

24

Answer

8

Question 6

An officer drives a patrol route that is 32 miles long. If the officer completes the entire route in 45 minutes, what is their average speed in miles per hour (mph)?

Accepted Answer

43 mph

Answer

38 mph

Answer

42 mph

Answer

24 mph

An officer on patrol is driving at 65 mph.A car passes the officer going in the same direction at a constant speed.The officer uses a roadside marker to determine the car is pulling away at a rate of 15 mph.Which of the following equations correctly represents the speed of the other car (C)?

An officer on patrol is driving at 65 mph.
A car passes the officer going in the same direction at a constant speed.
The officer uses a roadside marker to determine the car is pulling away at a rate of 15 mph.
Which of the following equations correctly represents the speed of the other car (C)?