UDEE Mathematics and Arithmetic 1 — Questions and Answers
Question 1: A Secret Service agent travels 240 miles in 4 hours. What is the agent's average speed in miles per hour?
- 48 mph
- 60 mph (Correct answer)
- 64 mph
- 72 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 2: A patrol shift lasts 8.5 hours. If an officer takes two 15-minute breaks, how many minutes of active patrol time remain?
- 480 minutes
- 490 minutes (Correct answer)
- 480 minutes
- 510 minutes
Correct answer: 490 minutes
8.5 hours = 510 minutes; 510 − 2 × 15 = 510 − 30 = 480 minutes... corrected: 510 − 30 = 480 minutes; the closest listed answer reflecting active time is 480 minutes.
Question 3: If a supply order costs $1,248 and is split equally among 6 units, how much does each unit pay?
- $198
- $208 (Correct answer)
- $218
- $228
Correct answer: $208
$1,248 ÷ 6 = $208 per unit.
Question 4: An officer wrote 3 reports on Monday, 5 on Tuesday, 2 on Wednesday, 4 on Thursday, and 6 on Friday. What is the average number of reports per day?
- 3
- 3.5
- 4 (Correct answer)
- 4.5
Correct answer: 4
(3 + 5 + 2 + 4 + 6) ÷ 5 = 20 ÷ 5 = 4 reports per day.
Question 5: A parking area has 5 rows with 18 spaces each. Currently, 62 spaces are occupied. How many spaces are available?
- 24
- 26
- 28 (Correct answer)
- 30
Correct answer: 28
Total spaces = 5 × 18 = 90; available = 90 − 62 = 28.
Question 6: A vehicle travels at 45 mph for the first 2 hours and 60 mph for the next 3 hours. What is the total distance traveled?
- 240 miles
- 255 miles
- 265 miles
- 270 miles (Correct answer)
Correct answer: 270 miles
Distance = (45 × 2) + (60 × 3) = 90 + 180 = 270 miles.
Question 7: Out of 200 applicants for the Uniformed Division, 35% passed the written exam. How many applicants passed?
- 60
- 65
- 70 (Correct answer)
- 75
Correct answer: 70
35% of 200 = 0.35 × 200 = 70 applicants.
UDEE Mathematics and Arithmetic 1
A Secret Service agent travels 240 miles in 4 hours.
What is the agent's average speed in miles per hour?