NYSTCE ATAS NYSTCE Mathematics 2 — Questions and Answers
Question 1: A teaching assistant is helping a student who says '0.5 + 1/4 = 3/4.' What is the correct answer?
- 3/4
- 0.75 (Correct answer)
- 0.6
- 7/8
Correct answer: 0.75
0.5 equals 1/2, and 1/2 + 1/4 = 3/4, which equals 0.75 as a decimal.
Question 2: Which property is demonstrated by the equation 3 × (4 + 5) = (3 × 4) + (3 × 5)?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend separately.
Question 3: A student needs to find 15% of 80. Which calculation is correct?
- 80 ÷ 15
- 80 × 1.5
- 80 × 0.15 (Correct answer)
- 15 ÷ 80
Correct answer: 80 × 0.15
To find a percentage of a number, convert the percent to a decimal by dividing by 100, then multiply.
Question 4: A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?
- 60 cm
- 34 cm (Correct answer)
- 17 cm
- 24 cm
Correct answer: 34 cm
Perimeter = 2(length + width) = 2(12 + 5) = 2(17) = 34 cm.
Question 5: Which of the following is an example of an integer that is NOT a whole number?
- 0
- 5
- -3 (Correct answer)
- 100
Correct answer: -3
Negative integers like -3 are integers but not whole numbers, since whole numbers include only 0 and positive integers.
Question 6: A student simplifies 18/24. Which fraction is in lowest terms?
- 9/12
- 6/8
- 3/4 (Correct answer)
- 2/3
Correct answer: 3/4
The GCF of 18 and 24 is 6; dividing both by 6 gives 3/4, which is fully reduced.
Question 7: A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?
- 1/4
- 1/3 (Correct answer)
- 4/12
- 4/7
Correct answer: 1/3
There are 4 blue out of 12 total marbles; 4/12 simplifies to 1/3.
NYSTCE ATAS NYSTCE Mathematics 2
A teaching assistant is helping a student who says '0.5 + 1/4 = 3/4.' What is the correct answer?