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Mathematical Concepts and Operations Flashcards

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

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  1. A student is simplifying the fraction 18/24. What is the greatest common factor (GCF) of 18 and 24?

    Answer: 6

    The GCF of 18 and 24 is 6, since 6 is the largest number that divides evenly into both.

  2. Which of the following best describes a prime number?

    Answer: A number with exactly two factors: 1 and itself

    A prime number has exactly two distinct factors: 1 and itself.

  3. A teaching assistant needs to help a student convert 0.75 to a fraction. What is the correct simplified form?

    Answer: 3/4

    0.75 = 75/100, which simplifies to 3/4 by dividing numerator and denominator by 25.

  4. A student counts 12 red cubes and 8 blue cubes. What is the ratio of red to blue cubes in simplest form?

    Answer: 3:2

    12:8 simplifies to 3:2 by dividing both values by the GCF of 4.

  5. Which number sentence illustrates the commutative property of addition?

    Answer: 3 + 4 = 4 + 3

    The commutative property states that the order of addends does not change the sum: a + b = b + a.

  6. A student earns $7.50 per hour babysitting. How much does she earn after working 4 hours?

    Answer: $30.00

    7.50 × 4 = $30.00.

  7. Which of the following is an example of an improper fraction?

    Answer: 9/4

    An improper fraction has a numerator greater than or equal to its denominator; 9/4 qualifies because 9 > 4.