FREE SHERIFF Basic Mathematics Application Questions and Answers

Question 1

A deputy responds to an incident 18 miles away. For the first 12 miles, the deputy travels at an average speed of 48 mph. For the remaining 6 miles, the deputy travels at an average speed of 36 mph. How many total minutes did it take the deputy to arrive at the scene?

Accepted Answer

25 minutes

Answer

To solve this, calculate the time for each segment of the trip and add them together. The formula to use is Time = Distance / Speed. For the first segment: Time = 12 miles / 48 mph = 0.25 hours. To convert hours to minutes, multiply by 60: 0.25 * 60 = 15 minutes. For the second segment: Time = 6 miles / 36 mph = 1/6 of an hour. To convert to minutes: (1/6) * 60 = 10 minutes. The total time is the sum of the two segments: 15 minutes + 10 minutes = 25 minutes.

Question 2

A sheriff's department seizes 450 grams of a suspicious powder. After a lab analysis, it is determined that 60% of the powder is an illegal substance. Of that illegal portion, 15% is identified as pure fentanyl. How many grams of pure fentanyl were seized?

Accepted Answer

40.5 grams

Answer

This is a two-step percentage problem. First, calculate the weight of the illegal substance: 450 grams * 60% (or 0.60) = 270 grams. Next, calculate the weight of the fentanyl from the illegal substance portion: 270 grams * 15% (or 0.15) = 40.5 grams.

Question 3

A deputy recorded the number of traffic citations issued each day over a five-day work week. The daily totals were 8, 11, 7, 14, and 10. What was the average number of citations issued per day?

Accepted Answer

10

Answer

To find the average (or mean), you must sum all the values and then divide by the number of values. The sum of the citations is 8 + 11 + 7 + 14 + 10 = 50. There are 5 days (values), so you divide the sum by 5: 50 / 5 = 10. The average number of citations per day was 10.

Question 4

A recovered stolen rifle measures 3 feet 7 inches in length. For the evidence property report, all measurements must be recorded in total inches. Which of the following is the correct measurement?

Accepted Answer

43 inches

Answer

To convert feet to inches, you must know that there are 12 inches in 1 foot. First, convert the feet to inches: 3 feet * 12 inches/foot = 36 inches. Then, add the remaining inches to this total: 36 inches + 7 inches = 43 inches.

Question 5

A patrol sector is a rectangle measuring 4 miles by 2.5 miles. What is the total area of the patrol sector in square miles?

Accepted Answer

10 square miles

Answer

The area of a rectangle is calculated by multiplying its length by its width. In this scenario, Area = Length * Width. So, the calculation is 4 miles * 2.5 miles = 10 square miles.

Sheriff - Deputy Sheriff Exam Practice Test

Sheriff - Deputy Sheriff Exam Practice Test

FREE SHERIFF Basic Mathematics Application Questions and Answers