Mathematical Reasoning Practice Questions
Questions Answered: 0/10
1.
If sin(θ) = 4/5, what is cos(θ)?
3/5
4/5
5/13
12/13
2.
A box contains 5 red balls and 3 blue balls. If two balls are drawn without replacement, what is the probability that they are of different colors?
5/14
15/28
3/7
4/7
3.
If f(x) = 3x + 2 and g(x) = x² - 1, what is (g ∘ f)(2)?
49
56
63
64
4.
If f(x) = x² + 2x and g(x) = 3x - 1, what is (f ∘ g)(2)?
25
31
35
41
5.
If f(x) = x² + 3x - 2 and g(x) = 2x + 1, what is f(g(3))?
46
54
62
70
6.
If log₅(x) = 2 and log₅(y) = 3, what is log₅(x²y)?
5
6
7
8
7.
If a triangle has sides of length 5, 12, and 13 units, what is its area?
30 square units
60 square units
90 square units
120 square units
8.
What is the period of the function y = 2sin(πx/3)?
π
2π
3π
6
9.
If x² + y² = 25 and xy = 12, what is the value of (x + y)²?
37
49
61
73
10.
What is the area of a regular hexagon with side length 4 units?
24√3 square units
32√3 square units
36√3 square units
48√3 square units
Questions Answered: 0/10