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Word Problems and Applied Arithmetic Flashcards

6 cards from real Numerical Reasoning practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Word Problems and Applied Arithmetic flashcards as text
  1. A farmer has a rectangular field 450m long and 280m wide. What is the area in square kilometers?

    Answer: 0.126 km²

    Area = 450 × 280 = 126,000 m²; converting: 126,000 ÷ 1,000,000 = 0.126 km².

  2. A team completes 1/3 of a project in week 1 and 2/5 of the remaining work in week 2. What fraction of the total project remains?

    Answer: 2/5

    After week 1, 2/3 remains; week 2 completes 2/5 of 2/3 = 4/15; remaining = 2/3 − 4/15 = 10/15 − 4/15 = 6/15 = 2/5.

  3. A tank fills at 40 liters per minute and drains at 15 liters per minute. Starting empty, how long to fill a 1,250-liter tank?

    Answer: 50 minutes

    Net fill rate = 40 − 15 = 25 liters/min; time = 1,250 ÷ 25 = 50 minutes.

  4. An office uses 12 reams of paper per week. How many reams are needed for a 52-week year if a 10% buffer is added for unexpected use?

    Answer: 686

    Base usage = 12 × 52 = 624; 10% buffer = 62.4; total = 624 + 62.4 ≈ 686 reams.

  5. A courier delivers packages at an average of 25 per day. At this rate, how many packages are delivered in a 5-day work week over 4 weeks?

    Answer: 500

    Packages = 25 per day × 5 days × 4 weeks = 25 × 20 = 500.

  6. A cylindrical water tank has a diameter of 2 meters and a height of 5 meters. Approximately how many cubic meters of water does it hold? (π ≈ 3.14)

    Answer: 15.7 m³

    Radius = 1m; Volume = π × r² × h = 3.14 × 1² × 5 = 15.7 m³.