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Mathematical Reasoning Flashcards

7 cards from real NYC 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 flashcards as text

  1. A sanitation worker collects trash from 4 routes per week. Route A takes 3.5 hours, Route B takes 2.75 hours, Route C takes 4 hours, and Route D takes 3.25 hours. How many total hours does the worker spend on all routes per week?

    Answer: 13.5 hours

    3.5 + 2.75 + 4 + 3.25 = 13.5 hours total.

  2. A city department has a budget of $48,000. It spends 35% on salaries, 25% on equipment, and 20% on supplies. How much of the budget remains unspent?

    Answer: $9,600

    35 + 25 + 20 = 80% spent; 20% remains: 0.20 × $48,000 = $9,600.

  3. A clerk processes 15 applications per hour. If she works 7.5 hours and takes a 45-minute lunch break, how many applications does she process in one workday?

    Answer: 101

    7.5 hours – 0.75 hours = 6.75 working hours; 6.75 × 15 = 101.25, rounded down to 101.

  4. A city vehicle travels 240 miles on 12 gallons of fuel. At this rate, how many gallons are needed for a 400-mile trip?

    Answer: 20 gallons

    Fuel efficiency = 240 ÷ 12 = 20 mpg; gallons needed = 400 ÷ 20 = 20 gallons.

  5. A civil service exam has 80 questions. Passing requires answering at least 70% correctly. What is the minimum number of correct answers needed to pass?

    Answer: 56

    70% of 80 = 0.70 × 80 = 56 correct answers needed.

  6. An inspector visits 3 buildings on Monday, 5 on Tuesday, 2 on Wednesday, 6 on Thursday, and 4 on Friday. What is the average number of buildings inspected per day?

    Answer: 4

    Total = 3 + 5 + 2 + 6 + 4 = 20; average = 20 ÷ 5 = 4 buildings per day.

  7. A municipal water tank holds 15,000 gallons. It is currently 40% full. How many more gallons must be added to bring it to 85% capacity?

    Answer: 6,750 gallons

    85% – 40% = 45% more needed; 0.45 × 15,000 = 6,750 gallons.