Frontline National Test Mathematical Reasoning 3

Question 1

A department recorded the following weekly incidents over 4 weeks: 32, 28, 35, and 41. What is the average number of weekly incidents?

Accepted Answer

34

Answer

(32 + 28 + 35 + 41) / 4 = 136 / 4 = 34 incidents per week.

Question 2

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?

Accepted Answer

2.5 miles

Answer

The speed difference is 30 mph; in 5 minutes (5/60 hr), the gap is 30 × (5/60) = 2.5 miles.

Question 3

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?

Accepted Answer

$336

Answer

8 cars × 12 gallons × $3.50/gallon = $336 per day.

Question 4

An officer collected $750 in fines on Monday and $450 on Tuesday. What percentage of the total fines were collected on Tuesday?

Accepted Answer

37.5%

Answer

Total = $1,200; $450 / $1,200 = 0.375 = 37.5%.

Question 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?

Accepted Answer

$50

Answer

500 - 375 = 125 rounds remaining; 125 × $0.40 = $50.

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