12th Grade Math Questions and Answers
Algebra
Question 1:
Solve for x: 2x + 5 = 11
Answer: x = 3
Question 2:
Solve the quadratic equation: x^2 + 4x + 4 = 0
Answer: x = -2
Question 3:
Find the value of x: 3x - 2 = 2x + 5
Answer: x = 7
Geometry
Question 1:
Find the perimeter of a triangle with sides 5cm, 7cm, and 9cm.
Answer: 21cm
Question 2:
Find the area of a circle with a radius of 4cm.
Answer: 16π cm^2
Question 3:
Find the volume of a rectangular prism with dimensions 6cm x 4cm x 3cm.
Answer: 72 cm^3
Calculus
Question 1:
Find the derivative of the function: f(x) = 3x^2 + 2x - 5
Answer: f'(x) = 6x + 2
Question 2:
Find the integral of the function: ∫(x^2 + 1) dx
Answer: (1/3)x^3 + x + C
Question 3:
Find the maximum value of the function: f(x) = 2x^3 - 3x^2 + x + 1
Answer: f(max) = 11 at x = 2
Statistics and Probability
Question 1:
Find the mean of the data set: 2, 4, 6, 8, 10
Answer: 6
Question 2:
Find the probability of drawing a king from a standard deck of cards.
Answer: 1/13
Question 3:
Find the standard deviation of the data set: 1, 2, 3, 4, 5
Answer: √2
We hope these questions and answers help you review and prepare for your 12th grade math exams!