NYSTCE NYSTCE Mathematics (004) 2

Question 1

What is the least common multiple (LCM) of 6 and 8?

Accepted Answer

24

Answer

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?

Accepted Answer

60°

Answer

The sum of angles in a triangle is 180°; 180 − 45 − 75 = 60°.

Question 3

Which expression is equivalent to 2³ × 2⁴?

Accepted Answer

2⁷

Answer

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?

Accepted Answer

Addition of integers using a number line model

Answer

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?

Accepted Answer

30

Answer

15% of 200 = 0.15 × 200 = 30.

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