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Mathematics Flashcards

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

Read the first 7 Mathematics flashcards as text

  1. What is the prime factorization of 36?

    Answer: 2² × 3²

    36 = 4 × 9 = 2² × 3², which is its prime factorization.

  2. If y = 3x − 5 and x = 4, what is y?

    Answer: 7

    y = 3(4) − 5 = 12 − 5 = 7.

  3. A clock shows 3:45. What is the angle between the hour and minute hands?

    Answer: 157.5°

    At 3:45, the minute hand is at 270° and the hour hand is at 112.5°, giving a difference of 157.5°.

  4. What is 0.375 written as a fraction in simplest form?

    Answer: 3/8

    0.375 = 375/1000 = 3/8 after dividing numerator and denominator by 125.

  5. A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?

    Answer: 785 cm³

    Volume = π × r² × h = 3.14 × 25 × 10 = 785 cm³.

  6. In a class of 30 students, 40% play soccer. How many students play soccer?

    Answer: 12

    40% of 30 = 0.40 × 30 = 12 students.

  7. What is the greatest common factor (GCF) of 48 and 72?

    Answer: 24

    The factors of 48 include 24, and 72 ÷ 24 = 3, so GCF(48, 72) = 24.