Mathematical Reasoning Flashcards

A city block has 12 streetlights. The city plans to install 4 more blocks with the same number of lights each. How many total streetlights will there be across all 5 blocks?

Answer: 60

5 blocks × 12 streetlights = 60 total streetlights.

A firefighter station responds to calls at an average rate of 8 calls per day. During a heat emergency, the rate triples for 3 days, then returns to normal. How many total calls are handled over a 7-day period?

Answer: 104

Emergency 3 days: 3 × 24 = 72 calls; normal 4 days: 4 × 8 = 32 calls; total = 104 calls.

A city's population is 8,336,817. If the population increases by approximately 1.2% this year, what is the estimated new population (rounded to the nearest thousand)?

Answer: 8,437,000

Increase = 0.012 × 8,336,817 ≈ 100,042; new population ≈ 8,436,859, rounded to 8,437,000.

A parks department plants trees along a 1.5-mile path, placing one tree every 30 feet. How many trees are planted? (1 mile = 5,280 feet)

Answer: 264

Total feet = 1.5 × 5,280 = 7,920 feet; trees = 7,920 ÷ 30 = 264 trees.

A civil service test has three sections: Verbal (40 questions), Math (30 questions), and Memory (20 questions). A candidate answers 85% of Verbal, 70% of Math, and 90% of Memory correctly. What is the total number of correct answers?

Answer: 73

Verbal: 0.85 × 40 = 34; Math: 0.70 × 30 = 21; Memory: 0.90 × 20 = 18; total = 34 + 21 + 18 = 73.

A building has 6 floors with 8 offices per floor, and 3 floors with 12 offices per floor. How many offices are in the building total?

Answer: 84

6 × 8 = 48 offices; 3 × 12 = 36 offices; total = 48 + 36 = 84 offices.

A city vehicle is driven 12,500 miles in a year. Maintenance is required every 2,500 miles. How many maintenance services will the vehicle require during the year?

Answer: 5

12,500 ÷ 2,500 = 5 maintenance services.