Mathematics and Arithmetic Flashcards

An officer earns $58,000 per year. After a 4% raise, what is the new annual salary?

Answer: $60,120

Raise = 4% of $58,000 = $2,320; new salary = $58,000 + $2,320 = $60,320.

A security team has 4 officers working 10-hour shifts and 6 officers working 8-hour shifts. What is the total number of officer-hours worked?

Answer: 88 hours

(4 × 10) + (6 × 8) = 40 + 48 = 88 officer-hours.

If 3 out of every 12 vehicles at a checkpoint are flagged for secondary screening, what percentage of vehicles are flagged?

Answer: 25%

3 ÷ 12 = 0.25 = 25% of vehicles are flagged.

A duty schedule repeats every 14 days. If an officer's first day off is on Day 3, on which day does his next day off fall?

Answer: Day 17

The next day off = Day 3 + 14 = Day 17.

A perimeter fence requires posts every 8 feet. If the perimeter is 320 feet, how many posts are needed (including the start post)?

Answer: 41

320 ÷ 8 = 40 intervals; posts needed = 40 + 1 = 41 (including the starting post).

An evidence log records 48 items. After 12 items are released and 7 new items are added, how many items remain in the log?

Answer: 43

48 − 12 + 7 = 36 + 7 = 43 items remain.

An officer's monthly mileage allowance is 400 miles. In the first three weeks of the month, the officer drove 98, 112, and 89 miles. How many miles are left in the allowance for the final week?

Answer: 101 miles

Used = 98 + 112 + 89 = 299; remaining = 400 − 299 = 101 miles.