Mathematical Reasoning Practice Questions

1. What is the volume of a sphere with radius 3?

36π

81π

108π

113π

2. What is the value of cos(0°)?

0

1/2

√3/2

1

3. What is the value of cos(arcsin(3/5))?

3/5

4/5

5/3

5/4

4. What is the value of cos(60°)?

1/4

1/3

1/2

√3/2

5. What is the sum of the interior angles of a hexagon?

540°

600°

720°

900°

6. If log₃(x) = 4, what is the value of log₉(x)?

1

2

3

4

7. What is the domain of the function f(x) = 1 / (x² - 4)?

All real numbers except 2 and -2

All real numbers except 0

All real numbers

All real numbers greater than 2 or less than -2

8. What is the value of sin(30°)?

1/4

1/3

1/2

√3/2

9. If f(x) = x³ - 2x + 1, what is f'(x) (the derivative of f(x))?

3x² - 2

3x² + 2

x² - 2

x² + 2

10. What is the domain of the function f(x) = √(x - 2)?

x ≥ 0

x ≥ 2

x > 0

x > 2