Mathematical Reasoning Practice Questions

1. What is the value of sin(π/4) + cos(π/4)?

1

√2

3/2

2

2. If a² + b² = c² and a = 3, b = 4, what is c?

5

6

7

8

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

11

13

15

17

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

5

9

11

13

5. If log₃(x) = 4 and log₃(y) = 2, what is log₃(x/y)?

1

2

3

4

6. If sin θ = 4/5 and θ is in the first quadrant, what is the value of tan θ?

3/4

4/3

5/3

3/5

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

36π

81π

108π

113π

8. What is the probability of rolling an even number on a fair six-sided die?

1/3

1/2

2/3

3/4

9. A line passes through the points (2, 5) and (4, 9). What is its slope?

1

2

3

4

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

49

56

63

64