Texas Civil Service Exam Mathematical Reasoning Problems 5

Question 1

A dispatcher handles an average of 12 calls per hour. During a 3-hour surge period, call volume increases by 75%. How many calls are handled during the surge?

Accepted Answer

63

Answer

Surge rate = 12 × 1.75 = 21 calls/hr; total = 21 × 3 = 63 calls.

Question 2

A rectangular city lot measures 150 feet by 200 feet. A 10-foot buffer must be maintained on all sides for construction. What is the maximum building footprint?

Accepted Answer

23,400 sq ft

Answer

Buildable dimensions = (150-20) × (200-20) = 130 × 180 = 23,400 sq ft.

Question 3

An employee earns $22.50 per hour and receives 1.5× pay for overtime hours beyond 40. If they work 48 hours in a week, what is their total gross pay?

Accepted Answer

$1,170

Answer

Regular pay = 40 × $22.50 = $900; OT = 8 × $22.50 × 1.5 = $270; total = $900 + $270 = $1,170.

Question 4

A city plans to repave 480 miles of road. Crews complete 16 miles per week. How many months will the project take? (Assume 4 weeks per month.)

Accepted Answer

7.5 months

Answer

Weeks needed = 480 ÷ 16 = 30 weeks; months = 30 ÷ 4 = 7.5 months.

Question 5

An applicant scores 82 on a written exam and 88 on the physical fitness test. The written exam counts for 3/4 of the final score and the physical test 1/4. What is the applicant's final score?

Accepted Answer

83.5

Answer

Final score = (82 × 0.75) + (88 × 0.25) = 61.5 + 22.0 = 83.5.

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Mathematical Reasoning Problems 5