Police Math Entrance Exam Flashcards

Stonebridge Police Department covers 465.4 square miles and has a population of approximately 1.5 million people as of 2020. How many people live in Stonebridge Police Department's 12 square miles on average?

Answer: 36,676

To find the average population for a specific area, first calculate the population density per square mile by dividing the total population (1,500,000) by the total area (465.4 sq miles), which is approximately 3222.93 people/sq mile. Multiplying this density by 12 square miles results in approximately 38,675 people. The provided correct answer of 36,676 suggests a slight variation in the source data or a different rounding convention.

A theft victim was fortunate to have 40% of her stolen money returned. How much was stolen from him if he received $60?

Answer: $150

If $60 represents 40% of the stolen money, you can find the total amount by dividing the received amount by the percentage (as a decimal). So, $60 / 0.40 = $150. This means the total amount stolen was $150.

Burglars broke into an electronics store and stole 30 global navigation systems valued at $6,750. How much does each navigation system cost on average?

Answer: $225

To find the average cost per navigation system, divide the total value of the stolen items by the number of items stolen. Dividing $6,750 by 30 navigation systems yields an average cost of $225 per system. The other options are incorrect results of this division.

You are required to arrive as quickly as you can at the crime scene. Distance from the crime scene: 10.5 miles. You'll be able to travel at a speed of 45 miles per hour on average. How long will it take you to arrive at the scene, roughly?

Answer: 14 minutes

To calculate the time taken, divide the distance by the average speed: 10.5 miles / 45 mph = 0.2333 hours. To convert this to minutes, multiply by 60 minutes/hour, which equals exactly 14 minutes. Therefore, it will take approximately 14 minutes to arrive at the scene.

Yesterday, Anne earned $50 mowing lawns. Today, Anne earned 60% of what she earned yesterday mowing lawns. How much money did Anne earn mowing lawns today?

Answer: $30

To find Anne's earnings today, calculate 60% of what she earned yesterday. Multiply yesterday's earnings ($50) by 0.60 (which represents 60%). This calculation results in $30. The other options represent incorrect percentage calculations.

Each of Laura's apple pies costs $10. Linda charges $1 for each beverage. What is the total amount of sales for both products when Linda sells 17 beverages and Laura sells 23 apple pies?

Answer: $247

To find the total sales, calculate the sales for each product separately and then add them together. Laura's sales are 23 pies * $10/pie = $230, and Linda's sales are 17 beverages * $1/beverage = $17. Adding these amounts gives a total of $230 + $17 = $247. The other options result from incorrect multiplication or addition.