LAPD Mathematical Reasoning and Problem Solving 3

Question 1

During a 12-hour shift, Officer Reyes spent 3 hours on traffic stops, 2.5 hours on report writing, and 4 hours on patrol. What percentage of the shift was spent on patrol?

Accepted Answer

331/3%

Answer

4 hours ÷ 12 hours = 1/3 = 33.33%, which is 33⅓%.

Question 2

An impound lot stores 15 vehicles in a row. Each vehicle takes up 8 feet of space with 2 feet between vehicles. What is the minimum length needed for one row?

Accepted Answer

148 feet

Answer

15 vehicles × 8 ft = 120 ft; 14 gaps × 2 ft = 28 ft; 120 + 28 = 148 ft.

Question 3

A suspect's age is described as between 35 and 45. The average age of four witnesses is 28. What is the minimum possible combined age of the suspect and the four witnesses?

Accepted Answer

147

Answer

Minimum suspect age = 35; average witness age of 28 × 4 = 112; 35 + 112 = 147.

Question 4

An LAPD officer's overtime rate is 1.5 times her regular hourly rate of $34 per hour. How much does she earn for 6 hours of overtime?

Accepted Answer

$306

Answer

Overtime rate = $34 × 1.5 = $51/hr; $51 × 6 = $306.

Question 5

A map of Los Angeles uses a scale of 1 cm = 2.5 km. Two police stations are 7 cm apart on the map. What is the actual distance between them?

Accepted Answer

17.5 km

Answer

7 cm × 2.5 km/cm = 17.5 km.

(LAPD) Los Angeles Police Department Practice Test

(LAPD) Los Angeles Police Department Practice Test

LAPD Mathematical Reasoning and Problem Solving 3