Mathematics and Arithmetic Flashcards

A fence around a square compound has a total length of 96 feet. What is the area of the compound?

Answer: 576 sq ft

Side = 96 ÷ 4 = 24 feet; Area = 24² = 576 sq ft.

An officer completes 3/4 of a 60-page report on Monday and 1/6 of the remainder on Tuesday. How many pages are left?

Answer: 12.5

Monday: 45 pages done, 15 remain; Tuesday: 15 × 1/6 = 2.5 pages; 15 − 2.5 = 12.5 pages left.

A dispatcher handles calls at a rate of 14 calls per hour. How many calls are handled in a 7.5-hour shift?

Answer: 105

14 × 7.5 = 105 calls.

If a vehicle travels 360 miles on 12 gallons of fuel, how many gallons are needed for a 270-mile trip?

Answer: 9

360 ÷ 12 = 30 mpg; 270 ÷ 30 = 9 gallons.

Three officers pool their overtime pay of $120, $145, and $95. They split the total equally. How much does each receive?

Answer: $125

($120 + $145 + $95) ÷ 3 = $360 ÷ 3 = $120.

A suspect ran 0.75 miles before being apprehended. An officer ran the same distance in 6 minutes. What was the officer's pace in minutes per mile?

Answer: 8 min/mi

6 minutes ÷ 0.75 miles = 8 minutes per mile.

A uniform budget of $9,600 is divided so that 40% goes to equipment, 35% to training, and the rest to miscellaneous. How much is allocated to miscellaneous?

Answer: $2,880

Miscellaneous = 25% of $9,600 = 0.25 × $9,600 = $2,400.