Police Math Fractions, Decimals, and Percentages Questions and Answers 1 — 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?
- $38,000 (Correct answer)
- $4,750
- $32,000
- $42,500
Correct answer: $38,000
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?
- 50
- 90
- 100 (Correct answer)
- 120
Correct answer: 100
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?
- $960,000
- $1,440,000 (Correct answer)
- $1,200,000
- $1,600,000
Correct answer: $1,440,000
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?
- 2.5 hours
- 4 hours
- 3.5 hours
- 3 hours (Correct answer)
Correct answer: 3 hours
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?
- 5/8
- 0.6
- 65%
- 2/3 (Correct answer)
Correct answer: 2/3
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.
Question 6: An evidence locker contains 120 items. 15% of the items are currency, 1/4 are narcotics, and 0.2 are electronics. How many items in the locker are NOT currency, narcotics, or electronics?
- 18
- 30
- 48 (Correct answer)
- 52
Correct answer: 48
First, calculate the number of items for each category: Currency = 120 * 0.15 = 18. Narcotics = 120 * (1/4) = 30. Electronics = 120 * 0.2 = 24. Total categorized items = 18 + 30 + 24 = 72. The remaining items are the total minus the categorized items: 120 - 72 = 48.
Police Math Fractions, Decimals, and Percentages Questions and Answers 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?