Police Math Entrance Exam 1 — Questions and Answers
Question 1: 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?
- 36,676 (Correct answer)
- 51,221
- 39,501
- 46,745
Correct 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.
Question 2: The odometer on a squad car shows that the officer has driven 1,478 miles in the last 12 days. How many miles are covered in 5 days on average?
- 502 miles
- 445 miles
To find the average miles covered in 5 days, first determine the average miles driven per day by dividing the total miles (1,478) by the total days (12), which is approximately 123.17 miles/day. Multiplying this daily average by 5 days yields approximately 615.83 miles. Neither of the provided options (A or B) matches this calculated value.
Question 3: A theft victim was fortunate to have 40% of her stolen money returned. How much was stolen from him if he received $60?
- $90
- $150 (Correct answer)
- $120
- $180
Correct 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.
Question 4: 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?
- $225 (Correct answer)
- $415
- $150
- $320
Correct 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.
Question 5: 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?
- 14 minutes (Correct answer)
- 20 minutes
- 10 minutes
- 7 minutes
Correct 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.
Question 6: 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?
- $30 (Correct answer)
- $20
- $25
- $50
Correct 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.
Question 7: 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?
- $342
- $247 (Correct answer)
- $189
- $298
Correct 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.
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?