Mathematical Reasoning and Number Facility Flashcards

A city worker drives 14.4 miles each way, 5 days a week. The vehicle averages 24 miles per gallon and fuel costs $3.60 per gallon. What is the weekly fuel cost?

Answer: $21.60

Weekly miles = 14.4 × 2 × 5 = 144; gallons = 144 ÷ 24 = 6; cost = 6 × $3.60 = $21.60.

A data entry clerk types 65 words per minute. A report contains 9,750 words. How many minutes will it take to type the entire report?

Answer: 150 minutes

9,750 ÷ 65 = 150 minutes.

A city department ordered 240 chairs at $48 each and received a 12.5% bulk discount. What total amount was paid?

Answer: $10,080

List price = 240 × $48 = $11,520; discount = $11,520 × 0.125 = $1,440; paid = $11,520 − $1,440 = $10,080.

The ratio of supervisors to workers in a city agency is 2:9. There are 198 workers. How many supervisors are there?

Answer: 44

198 ÷ 9 = 22 ratio units; supervisors = 22 × 2 = 44.

A civil service test has 4 sections worth 25 points each. A candidate scores 19, 22, 17, and 21. What percentage of total possible points did the candidate earn?

Answer: 79%

Total earned = 19 + 22 + 17 + 21 = 79; total possible = 100; 79 ÷ 100 = 79%.

A fire department ladder reaches 85 feet. Using the conversion 1 foot ≈ 0.3048 meters, what is the ladder's height in meters, rounded to the nearest whole meter?

Answer: 26 meters

85 × 0.3048 ≈ 25.91 ≈ 26 meters.

A city agency processes 1,350 forms in 9 days using 6 clerks. At the same per-clerk rate, how many days would 4 clerks need to process 1,200 forms?

Answer: 12 days

Rate = 1,350 ÷ (9 × 6) = 25 forms per clerk per day; 4 clerks = 100 forms/day; 1,200 ÷ 100 = 12 days.