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Math Flashcards

7 cards from real Crossover Aptitude Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Math flashcards as text
  1. A tank is 1/4 full. After adding 30 gallons it is 3/4 full. What is the tank's total capacity?

    Answer: 60 gallons

    3/4 - 1/4 = 1/2 of the tank equals 30 gallons, so capacity = 60 gallons.

  2. The probability of rain on any day is 0.3. What is the probability it does NOT rain on two consecutive days?

    Answer: 0.49

    P(no rain each day) = 0.7; P(no rain both days) = 0.7 × 0.7 = 0.49.

  3. Simplify: √75 + √27

    Answer: 8√3

    √75 = 5√3 and √27 = 3√3; sum = 8√3.

  4. A circle has a circumference of 20π. What is its area?

    Answer: 100π

    2πr = 20π gives r = 10; Area = π(10)² = 100π.

  5. Which inequality holds true when x = 3?

    Answer: x² > 8

    x² = 9 > 8 is true; the other options evaluate to false when x = 3.

  6. What is the greatest common factor (GCF) of 48, 72, and 120?

    Answer: 24

    48 = 2⁴×3, 72 = 2³×3², 120 = 2³×3×5; GCF = 2³×3 = 24.

  7. Worker A finishes a job in 6 hours; Worker B finishes it in 4 hours. How long do they take working together?

    Answer: 2.4 hours

    Combined rate = 1/6 + 1/4 = 5/12 job/hr; time = 12/5 = 2.4 hours.