NYSTCE ATAS Mathematical Concepts and Operations 2

Question 1

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

Accepted Answer

6

Answer

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

Question 2

Which of the following best describes a prime number?

Accepted Answer

A number with exactly two factors: 1 and itself

Answer

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

Question 3

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

Accepted Answer

3/4

Answer

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

Question 4

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

Accepted Answer

3:2

Answer

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

Question 5

Which number sentence illustrates the commutative property of addition?

Accepted Answer

3 + 4 = 4 + 3

Answer

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

NYSTCE ATAS - NYSTCE Assessment of Teaching Assistant Skills Practice Test