NYSTCE NYSTCE Mathematics (004) 2 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 6 and 8?
- 12
- 16
- 24 (Correct answer)
- 48
Correct answer: 24
The LCM of 6 and 8 is 24, the smallest number divisible by both.
Question 2: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 70°
Correct answer: 60°
The sum of angles in a triangle is 180°; 180 − 45 − 75 = 60°.
Question 3: Which expression is equivalent to 2³ × 2⁴?
- 2⁷ (Correct answer)
- 2¹²
- 4⁷
- 8⁴
Correct answer: 2⁷
When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Question 4: A teacher uses a number line to show that −3 + 7 = 4. Which concept is being illustrated?
- Multiplication of integers
- Addition of integers using a number line model (Correct answer)
- Subtraction of fractions
- Division algorithm
Correct answer: Addition of integers using a number line model
A number line is a concrete model for showing integer addition by moving right (positive) or left (negative).
Question 5: What is 15% of 200?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 6: Which of the following correctly represents the inequality 'x is less than or equal to 5'?
- x < 5
- x > 5
- x ≤ 5 (Correct answer)
- x ≥ 5
Correct answer: x ≤ 5
The symbol ≤ means 'less than or equal to,' correctly representing x ≤ 5.
NYSTCE NYSTCE Mathematics (004) 2
What is the least common multiple (LCM) of 6 and 8?