Mathematical Reasoning Practice Questions

Mathematical Reasoning Practice Questions

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
Questions Answered: 0/10