UDEE Mathematics and Arithmetic 5

Question 1

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

Accepted Answer

576 sq ft

Answer

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

Question 2

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?

Accepted Answer

12.5

Answer

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

Question 3

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

Accepted Answer

105

Answer

14 × 7.5 = 105 calls.

Question 4

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

Accepted Answer

9

Answer

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

Question 5

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

Accepted Answer

$125

Answer

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

UDEE - Uniformed Division Entrance Exam Practice Test