NYSTCE ATAS NYSTCE Mathematics 3 — Questions and Answers
Question 1: A student plots the point (−3, 4) on a coordinate plane. In which quadrant does this point lie?
- Quadrant I
- Quadrant II (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
Quadrant II contains points where x is negative and y is positive, matching (−3, 4).
Question 2: Which of the following is equivalent to 2³ × 2⁴?
- 2⁷ (Correct answer)
- 4⁷
- 2¹²
- 4¹²
Correct answer: 2⁷
When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Question 3: A student earns $9.50 per hour and works 6 hours. How much does the student earn in total?
- $54.00
- $56.00
- $57.00 (Correct answer)
- $63.50
Correct answer: $57.00
$9.50 × 6 = $57.00.
Question 4: What is the median of the data set: 7, 3, 9, 1, 5?
- 3
- 5 (Correct answer)
- 7
- 9
Correct answer: 5
Arranged in order: 1, 3, 5, 7, 9 — the middle value is 5.
Question 5: Which expression represents 'six less than twice a number n'?
- 6 − 2n
- 2n − 6 (Correct answer)
- 2(n − 6)
- 6n − 2
Correct answer: 2n − 6
'Twice a number' is 2n, and 'six less than' means subtract 6, giving 2n − 6.
Question 6: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 100
Correct answer: 10
By the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
Question 7: A recipe calls for 2/3 cup of sugar. If you want to make 1.5 times the recipe, how much sugar do you need?
- 1 cup (Correct answer)
- 2/3 cup
- 1 1/3 cups
- 3/4 cup
Correct answer: 1 cup
2/3 × 3/2 = 6/6 = 1 cup of sugar.
NYSTCE ATAS NYSTCE Mathematics 3
A student plots the point (−3, 4) on a coordinate plane.
In which quadrant does this point lie?