UDEE Mathematics and Arithmetic 5 — Questions and Answers
Question 1: A fence around a square compound has a total length of 96 feet. What is the area of the compound?
- 144 sq ft
- 384 sq ft
- 576 sq ft (Correct answer)
- 768 sq ft
Correct answer: 576 sq ft
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?
- 10
- 12.5 (Correct answer)
- 13
- 15
Correct answer: 12.5
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?
- 95
- 98
- 105 (Correct answer)
- 112
Correct answer: 105
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?
- 7
- 8
- 9 (Correct answer)
- 10
Correct answer: 9
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?
- $110
- $120
- $125 (Correct answer)
- $130
Correct answer: $125
($120 + $145 + $95) ÷ 3 = $360 ÷ 3 = $120.
Question 6: 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?
- 6 min/mi
- 7 min/mi
- 8 min/mi (Correct answer)
- 9 min/mi
Correct answer: 8 min/mi
6 minutes ÷ 0.75 miles = 8 minutes per mile.
Question 7: 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?
- $1,800
- $2,400
- $2,880 (Correct answer)
- $3,360
Correct answer: $2,880
Miscellaneous = 25% of $9,600 = 0.25 × $9,600 = $2,400.
UDEE Mathematics and Arithmetic 5
A fence around a square compound has a total length of 96 feet.
What is the area of the compound?