Texas Civil Service Exam Mathematical Reasoning Problems 3

Question 1

A civil service position offers a starting salary of $42,000 with a 4.5% annual raise. What will the salary be after 1 year?

Accepted Answer

$43,890

Answer

Raise = $42,000 × 0.045 = $1,890; new salary = $42,000 + $1,890 = $43,890.

Question 2

A records office processes an average of 45 requests per day. At this rate, how many requests will be processed over 4 five-day work weeks?

Accepted Answer

900

Answer

45 requests/day × 5 days/week × 4 weeks = 900 requests.

Question 3

Two fire stations are 15 miles apart. Station A responds at 40 mph and Station B at 60 mph. Both dispatch to a midpoint fire. Which arrives first and by how many minutes?

Accepted Answer

Station B by 3.75 min

Answer

Midpoint = 7.5 mi each; A takes 7.5/40 hr = 11.25 min; B takes 7.5/60 hr = 7.5 min; B is faster by 3.75 min.

Question 4

A public works crew fills 6 potholes per hour. How long will it take 3 crews working simultaneously to fill 54 potholes?

Accepted Answer

3 hours

Answer

3 crews × 6 potholes/hr = 18 potholes/hr; 54 ÷ 18 = 3 hours.

Question 5

A cylindrical water tank has a radius of 5 feet and a height of 10 feet. Using π ≈ 3.14, what is its volume?

Accepted Answer

785 cubic feet

Answer

Volume = π × r² × h = 3.14 × 25 × 10 = 785 cubic feet.

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Practice Test

Texas Civil Service Exam Mathematical Reasoning Problems 3