PELLET B Mathematical Reasoning & Problem Solving 2

Question 1

An officer drives 45 miles in 1.5 hours. What is the officer's average speed?

Accepted Answer

30 mph

Answer

Average speed = distance / time = 45 / 1.5 = 30 mph.

Question 2

A police department has a budget of $2.4 million. If 35% goes to salaries and 20% to equipment, how much remains for other expenses?

Accepted Answer

$1,080,000

Answer

Salaries and equipment total 55%. Remaining: 45% of $2,400,000 = $1,080,000.

Question 3

If a crime rate of 12 per 1,000 residents drops by 25%, what is the new crime rate?

Accepted Answer

9 per 1,000

Answer

25% of 12 is 3. New rate: 12 - 3 = 9 per 1,000 residents.

Question 4

An evidence room is 12 feet long, 8 feet wide, and 10 feet high. What is its volume in cubic feet?

Accepted Answer

960 cubic feet

Answer

Volume = length x width x height = 12 x 8 x 10 = 960 cubic feet.

Question 5

During a 4-week period, an officer wrote 15, 22, 18, and 25 traffic citations. What is the average number per week?

Accepted Answer

20

Answer

Average = (15 + 22 + 18 + 25) / 4 = 80 / 4 = 20.

PELLET B Test Practice Test