Numerical Reasoning Skills Flashcards

A vehicle involved in a pursuit travels a distance of 12.5 miles in 15 minutes. What was the vehicle's average speed in miles per hour (MPH)?

Answer: 50 MPH

To calculate the speed in miles per hour, you need to determine how many miles the vehicle would travel in 60 minutes. Since 15 minutes is one-quarter (1/4) of an hour, you can multiply the distance traveled (12.5 miles) by 4. Calculation: 12.5 x 4 = 50. The vehicle's average speed was 50 MPH.

Last year, your assigned patrol district recorded 240 residential burglaries. This year, the number increased to 288. What was the percentage increase in residential burglaries?

Answer: 20%

The formula for percentage increase is [(New Value - Original Value) / Original Value] x 100. First, find the raw increase: 288 - 240 = 48. Then, divide the increase by the original number: 48 / 240 = 0.2. Finally, multiply by 100 to get the percentage: 0.2 x 100 = 20%.

An officer is taking a theft report where several items were stolen from a construction site. The site manager provides the following values: 3 power drills at $150 each, 1 generator at $800, and copper wiring valued at $1,250. What is the total monetary value of the stolen property to be listed in the report?

Answer: $2,500

To find the total value, you must calculate the value of all items and sum them. The value of the drills is 3 x $150 = $450. The total value is the sum of the drills, the generator, and the wiring: $450 + $800 + $1,250 = $2,500.

An officer begins a surveillance operation at 22:00 hours on Tuesday and concludes it at 05:30 hours on Wednesday. What was the total duration of the surveillance?

Answer: 7 hours, 30 minutes

To calculate the time across midnight, first find the time from the start to midnight. From 22:00 to 24:00 (midnight) is 2 hours. Then, add the time from midnight to the end time, which is 5 hours and 30 minutes. The total duration is 2 hours + 5 hours and 30 minutes = 7 hours and 30 minutes.

A police department has a budget of $150,000 for new patrol car equipment. They spend 40% on new computer terminals and 35% on camera systems. How much money is remaining in the equipment budget?

Answer: $37,500

First, calculate the total percentage of the budget spent: 40% + 35% = 75%. The remaining percentage is 100% - 75% = 25%. To find the remaining amount, calculate 25% of the total budget: 0.25 x $150,000 = $37,500.

An evidence bag contains 2.5 kilograms of a seized substance. For the lab report, the weight needs to be recorded in grams. How many grams does the substance weigh? (1 kilogram = 1,000 grams)

Answer: 2,500 grams

To convert kilograms to grams, you multiply the number of kilograms by 1,000, since there are 1,000 grams in a kilogram. The calculation is 2.5 kg x 1,000 g/kg = 2,500 grams.