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Mathematical Reasoning Problems 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 Problems flashcards as text

  1. A department budget of $84,000 is divided among 4 units in a ratio of 3:2:2:1. How much does the largest unit receive?

    Answer: $31,500

    Total parts = 8; largest unit = 3/8 × $84,000 = $31,500.

  2. An inspector checks 7 buildings per day. At this rate, how many buildings will be inspected in 4 weeks (5 working days per week)?

    Answer: 140

    4 weeks × 5 days = 20 days; 20 × 7 = 140 buildings.

  3. If a city employee's salary increased from $48,000 to $52,800, what was the percentage increase?

    Answer: 10%

    Increase = $4,800; $4,800 ÷ $48,000 × 100 = 10%.

  4. A rectangular park is 320 meters long and 175 meters wide. What is the perimeter of the park?

    Answer: 990 m

    Perimeter = 2 × (320 + 175) = 2 × 495 = 990 meters.

  5. A firefighter used 2,400 liters of water to extinguish a fire. If the truck's tank holds 3,200 liters, what fraction of the tank remains?

    Answer: 1/4

    Remaining = 3,200 − 2,400 = 800 liters; 800/3,200 = 1/4.

  6. A supply order costs $3.75 per item. A department orders 144 items. What is the total cost?

    Answer: $540.00

    144 × $3.75 = $540.00.

  7. A typist can type 65 words per minute. How long will it take to type a 2,275-word document?

    Answer: 35 minutes

    2,275 ÷ 65 = 35 minutes.