Mathematical Reasoning Problems Flashcards
7 cards from real Texas Civil Service Exam practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematical Reasoning Problems flashcards as text
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?
Answer: $43,890
Raise = $42,000 × 0.045 = $1,890; new salary = $42,000 + $1,890 = $43,890.
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?
Answer: 900
45 requests/day × 5 days/week × 4 weeks = 900 requests.
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?
Answer: Station B by 3.75 min
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.
A public works crew fills 6 potholes per hour. How long will it take 3 crews working simultaneously to fill 54 potholes?
Answer: 3 hours
3 crews × 6 potholes/hr = 18 potholes/hr; 54 ÷ 18 = 3 hours.
A cylindrical water tank has a radius of 5 feet and a height of 10 feet. Using π ≈ 3.14, what is its volume?
Answer: 785 cubic feet
Volume = π × r² × h = 3.14 × 25 × 10 = 785 cubic feet.
A department's electricity bill was $980 in January and decreased by 15% in February. What was the February bill?
Answer: $833
Decrease = $980 × 0.15 = $147; February bill = $980 - $147 = $833.
If 5 clerks file 200 documents in 4 hours, how many documents can 8 clerks file in 6 hours at the same rate?
Answer: 480
Rate per clerk per hour = 200 ÷ (5 × 4) = 10 docs; 8 clerks × 6 hours × 10 = 480 documents.