Mathematical Reasoning & Problem Solving Flashcards
6 cards from real PELLET B practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Mathematical Reasoning & Problem Solving flashcards as text
An officer drives 45 miles in 1.5 hours. What is the officer's average speed?
Answer: 30 mph
Average speed = distance / time = 45 / 1.5 = 30 mph.
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?
Answer: $1,080,000
Salaries and equipment total 55%. Remaining: 45% of $2,400,000 = $1,080,000.
If a crime rate of 12 per 1,000 residents drops by 25%, what is the new crime rate?
Answer: 9 per 1,000
25% of 12 is 3. New rate: 12 - 3 = 9 per 1,000 residents.
An evidence room is 12 feet long, 8 feet wide, and 10 feet high. What is its volume in cubic feet?
Answer: 960 cubic feet
Volume = length x width x height = 12 x 8 x 10 = 960 cubic feet.
During a 4-week period, an officer wrote 15, 22, 18, and 25 traffic citations. What is the average number per week?
Answer: 20
Average = (15 + 22 + 18 + 25) / 4 = 80 / 4 = 20.
A suspect is traveling at 80 mph while an officer is 10 miles behind traveling at 100 mph. How long will it take the officer to catch the suspect?
Answer: 30 minutes
Closing speed = 100 - 80 = 20 mph. Time = 10 miles / 20 mph = 0.5 hours = 30 minutes.