NYSTCE ATAS Mathematical Concepts and Operations 3 — Questions and Answers
Question 1: A student measures a rectangle that is 9 cm long and 5 cm wide. What is its area?
- 28 cm²
- 45 cm² (Correct answer)
- 40 cm²
- 14 cm²
Correct answer: 45 cm²
Area of a rectangle = length × width = 9 × 5 = 45 cm².
Question 2: What is the value of 3³ (3 to the third power)?
- 9
- 27 (Correct answer)
- 6
- 18
Correct answer: 27
3³ = 3 × 3 × 3 = 27.
Question 3: A class has 30 students. If 40% of them are absent, how many students are present?
- 12
- 18 (Correct answer)
- 20
- 15
Correct answer: 18
40% of 30 = 12 are absent, so 30 − 12 = 18 are present.
Question 4: On a number line, which value is located between −3 and 1?
- −5
- 2
- −1 (Correct answer)
- 4
Correct answer: −1
−1 lies between −3 and 1 on the number line.
Question 5: A teaching assistant is helping a student add 2/5 + 1/3. What is the correct sum?
- 3/8
- 3/15
- 11/15 (Correct answer)
- 7/15
Correct answer: 11/15
The LCD of 5 and 3 is 15; 2/5 = 6/15 and 1/3 = 5/15, so 6/15 + 5/15 = 11/15.
Question 6: Which metric unit is most appropriate for measuring the length of a pencil?
- Kilometer
- Meter
- Centimeter (Correct answer)
- Millimeter
Correct answer: Centimeter
A pencil is about 19 cm long, so centimeters are the most appropriate unit.
Question 7: A bag contains 5 red, 3 green, and 2 blue marbles. If one marble is drawn at random, what is the probability it is green?
- 1/5
- 3/10 (Correct answer)
- 3/7
- 1/3
Correct answer: 3/10
There are 3 green marbles out of 10 total, so P(green) = 3/10.
A student measures a rectangle that is 9 cm long and 5 cm wide.
What is its area?