Mathematical Reasoning Practice Questions

1. If f(x) = x² - 3x + 2, what is f(f(2))?

0

2

4

6

2. What is the value of i⁴⁰, where i is the imaginary unit?

1

-1

i

-i

3. What is the value of cos(60°)?

1/4

1/3

1/2

√3/2

4. What is the probability of getting at least one 6 when rolling two fair six-sided dice?

1/6

5/18

11/36

7/18

5. If f(x) = x³ - 3x² + 2x - 1, what is f'(2)?

1

2

3

4

6. What is the area of a regular octagon with side length 4?

32(√2 + 1)

64(√2 - 1)

32(2 + √2)

64(2 - √2)

7. What is the solution to the equation e^x = 10?

ln(5)

ln(10)

2ln(5)

2ln(10)

8. 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 greater than 2

All real numbers less than -2

9. If the volume of a cube is 27 cubic units, what is the surface area of the cube?

36 square units

54 square units

72 square units

81 square units

10. What is the value of sin(30°)?

1/4

1/3

1/2

√3/2