Police Math Fractions, Decimals, and Percentages Questions and Answers

Question 1

An officer responds to a theft at a local electronics store. The stolen items include 3 laptops valued at $750 each, 5 tablets at $400 each, and 2 smartwatches at $250 each. The total value of the stolen goods represents 1/8 of the store's total inventory for that day. What was the store's total inventory value?

Accepted Answer

$38,000

Answer

First, calculate the total value of the stolen goods: (3 * $750) + (5 * $400) + (2 * $250) = $2250 + $2000 + $500 = $4750. This amount is 1/8 of the total inventory. To find the total inventory, multiply the stolen value by 8: $4750 * 8 = $38,000.

Question 2

Officer Miller is analyzing traffic citations. He finds that 45% of citations were for speeding, 0.25 were for running a red light, and 1/5 were for illegal parking. The remaining 10 citations were for other various infractions. How many total citations were issued?

Accepted Answer

100

Answer

First, convert all forms to a consistent format, like percentages. 0.25 is 25%, and 1/5 is 20%. Add the known percentages: 45% + 25% + 20% = 90%. This means the remaining 10 citations represent 100% - 90% = 10% of the total. If 10 citations are 10%, then the total (100%) is 10 * 10 = 100 citations.

Question 3

A police department's budget is $2,400,000. If 3/5 of the budget is allocated to salaries, what is the dollar amount allocated to salaries?

Accepted Answer

$1,440,000

Answer

To find 3/5 of the budget, you can first find 1/5 by dividing the total budget by 5: $2,400,000 / 5 = $480,000. Then, multiply this amount by 3 to find 3/5: $480,000 * 3 = $1,440,000.

Question 4

During a 12-hour shift, Officer Davis spent 25% of his time on patrol, 1.5 hours on paperwork, and 3/4 of an hour on a meal break. How much time, in hours, was spent on patrol?

Accepted Answer

3 hours

Answer

The question asks specifically for the time spent on patrol. To find this, calculate 25% of the 12-hour shift. 25% is equivalent to 0.25 or 1/4. So, 12 hours * 0.25 = 3 hours.

Question 5

Which of the following values is the largest?

Accepted Answer

2/3

Answer

To compare these values, convert them all to decimals. 5/8 = 0.625. 0.6 is already a decimal. 65% = 0.65. 2/3 = 0.666... Comparing the decimals (0.625, 0.600, 0.650, 0.666...), 0.666... (or 2/3) is the largest value.

Police Math Test Practice Test

Police Math Test Practice Test

Police Math Fractions, Decimals, and Percentages Questions and Answers