NYSTCE ATAS Mathematical Concepts and Operations 5 — Questions and Answers
Question 1: A student needs to find 15% of 80. Which calculation gives the correct answer?
- 80 ÷ 15
- 0.15 × 80 (Correct answer)
- 15 × 80
- 80 − 15
Correct answer: 0.15 × 80
To find a percentage of a number, convert the percent to a decimal and multiply: 0.15 × 80 = 12.
Question 2: Which of the following correctly orders these numbers from least to greatest: 0.6, 3/5, 58%, 0.605?
- 58%, 3/5, 0.6, 0.605 (Correct answer)
- 3/5, 0.6, 58%, 0.605
- 58%, 0.6, 3/5, 0.605
- 0.6, 3/5, 58%, 0.605
Correct answer: 58%, 3/5, 0.6, 0.605
58% = 0.58, 3/5 = 0.60, 0.6 = 0.600, 0.605; so the order is 0.58, 0.60, 0.600, 0.605.
Question 3: A teaching assistant asks a student to estimate 497 + 312 by rounding to the nearest hundred. What is the estimate?
- 700
- 800 (Correct answer)
- 900
- 810
Correct answer: 800
497 rounds to 500 and 312 rounds to 300; 500 + 300 = 800.
Question 4: A student models the equation x + 5 = 12. What value of x makes this equation true?
- 17
- 7 (Correct answer)
- 60
- 5
Correct answer: 7
Subtracting 5 from both sides gives x = 12 − 5 = 7.
Question 5: What is the median of the data set: 4, 9, 2, 7, 5?
- 5 (Correct answer)
- 6
- 7
- 4
Correct answer: 5
Arranged in order: 2, 4, 5, 7, 9 — the middle value is 5.
Question 6: A student notices that a table shows the pattern: x = 1→3, 2→6, 3→9, 4→12. Which rule describes the pattern?
- y = x + 2
- y = 3x (Correct answer)
- y = x²
- y = 2x + 1
Correct answer: y = 3x
Each y-value is exactly 3 times the x-value, so the rule is y = 3x.
Question 7: How many lines of symmetry does a regular hexagon have?
- 3
- 4
- 6 (Correct answer)
- 8
Correct answer: 6
A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.
NYSTCE ATAS Mathematical Concepts and Operations 5
A student needs to find 15% of 80.
Which calculation gives the correct answer?