NYSTCE ATAS NYSTCE Mathematics 5 — Questions and Answers
Question 1: A student writes the inequality x > −2. Which number line correctly represents this?
- A closed dot at −2 with shading to the left
- An open dot at −2 with shading to the right (Correct answer)
- A closed dot at −2 with shading to the right
- An open dot at −2 with shading to the left
Correct answer: An open dot at −2 with shading to the right
x > −2 uses an open dot (not including −2) and shades to the right for values greater than −2.
Question 2: A student divides 3/5 ÷ 1/2. What is the result?
- 3/10
- 6/5 (Correct answer)
- 5/6
- 1/5
Correct answer: 6/5
Dividing by a fraction means multiplying by its reciprocal: 3/5 × 2/1 = 6/5.
Question 3: Which of the following measurements is equivalent to 2.5 liters?
- 250 milliliters
- 2,500 milliliters (Correct answer)
- 25,000 milliliters
- 25 milliliters
Correct answer: 2,500 milliliters
There are 1,000 milliliters in 1 liter, so 2.5 liters = 2,500 milliliters.
Question 4: A table shows the following values: x = 1, 2, 3, 4 and y = 3, 6, 9, 12. Which equation represents the relationship?
- y = x + 2
- y = 2x + 1
- y = 3x (Correct answer)
- y = x³
Correct answer: y = 3x
Each y value equals 3 times the corresponding x value, so the equation is y = 3x.
Question 5: A teaching assistant explains that a triangle has angles measuring 45°, 90°, and one unknown angle. What is the unknown angle?
- 35°
- 45° (Correct answer)
- 55°
- 90°
Correct answer: 45°
The sum of angles in a triangle is 180°; 180 − 45 − 90 = 45°.
Question 6: Which of the following is NOT a rational number?
- −7
- 0.333...
- √2 (Correct answer)
- 4/5
Correct answer: √2
√2 is irrational because it cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal.
Question 7: A store sells notebooks for $2.50 each. A student buys n notebooks and pays with a $20 bill. Which expression represents the change received?
- 20 + 2.50n
- 2.50n − 20
- 20 − 2.50n (Correct answer)
- 20 × 2.50n
Correct answer: 20 − 2.50n
Change = amount paid minus cost = 20 − 2.50n.
NYSTCE ATAS NYSTCE Mathematics 5
A student writes the inequality x > −2.
Which number line correctly represents this?