Mathematical Reasoning Flashcards
7 cards from real Frontline National Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematical Reasoning flashcards as text
A department recorded the following weekly incidents over 4 weeks: 32, 28, 35, and 41. What is the average number of weekly incidents?
Answer: 34
(32 + 28 + 35 + 41) / 4 = 136 / 4 = 34 incidents per week.
A speeding vehicle is traveling at 90 mph and a police car begins pursuit at 60 mph. How far behind will the police car be after 5 minutes?
Answer: 2.5 miles
The speed difference is 30 mph; in 5 minutes (5/60 hr), the gap is 30 × (5/60) = 2.5 miles.
A police station has 8 patrol cars, each requiring 12 gallons of fuel per day. If fuel costs $3.50 per gallon, what is the total daily fuel cost?
Answer: $336
8 cars × 12 gallons × $3.50/gallon = $336 per day.
An officer collected $750 in fines on Monday and $450 on Tuesday. What percentage of the total fines were collected on Tuesday?
Answer: 37.5%
Total = $1,200; $450 / $1,200 = 0.375 = 37.5%.
A department purchased 500 rounds of ammunition at $0.40 each. If 375 rounds were used in training, what is the value of the remaining ammunition?
Answer: $50
500 - 375 = 125 rounds remaining; 125 × $0.40 = $50.
A crime wave caused a 35% increase over last month's 260 reported crimes. How many crimes were reported this month?
Answer: 351
260 × 1.35 = 351 crimes reported this month.
A precinct has 180 officers, and the ratio of patrol officers to detectives is 4:1. How many detectives are in the precinct?
Answer: 36
A 4:1 ratio means 1 out of every 5 officers is a detective; 180 ÷ 5 = 36 detectives.