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

20 minutes

Answer

15 minutes

Answer

30 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

270 grams

Answer

67.5 grams

Answer

27 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

11

Answer

50

Answer

9

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

37 inches

Answer

36 inches

Answer

45 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

13 square miles

Answer

6.5 square miles

Answer

8 square miles

Question 6

A deputy works a total of 46 hours in one week. The department pays overtime at a rate of 1.5 times the regular hourly wage for any hours worked over 40. If the deputy's regular hourly wage is $28.00, what is the deputy's total gross pay for the week?

Accepted Answer

$1,372.00

Answer

$1,288.00

Answer

$1,932.00

Answer

$1,120.00