Frontline National Test Mathematical Reasoning 2

Question 1

A crime scene is 3 blocks north and 4 blocks east of the police station. What is the straight-line distance from the station to the crime scene?

Accepted Answer

5 blocks

Answer

Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 blocks.

Question 2

An officer's patrol area is 6 square miles. If 25% is residential and 35% is commercial, how many square miles are industrial?

Accepted Answer

2.4

Answer

100% - 25% - 35% = 40% industrial; 40% of 6 = 2.4 square miles.

Question 3

A police officer earns $52,000 per year. What is the officer's approximate monthly salary?

Accepted Answer

$4,333.33

Answer

$52,000 ÷ 12 months = $4,333.33 per month.

Question 4

During traffic stops, 3 out of every 5 vehicles checked had minor violations. If an officer checked 45 vehicles, how many had minor violations?

Accepted Answer

27

Answer

(3/5) × 45 = 27 vehicles with minor violations.

Question 5

A police report shows burglaries increased by 20% from last year's total of 150. How many burglaries occurred this year?

Accepted Answer

180

Answer

150 × 1.20 = 180 burglaries this year.

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