Mathematics Challenge for Grade 12

What is the derivative of sin(x)?

• tan(x)

• cos(x)

• sec(x)

• sin^2(x)

Solve for x: 2x + 3 = 11

• 5

• 3

• 2

• 4

What is the integral of 1/x dx?

• e^x + C

• ln|x| + C

• 1/2 x^2 + C

• x + C

Find the limit as x approaches 0 of (sin(x)/x).

• 1

• undefined

• -1

• 0

What is the quadratic formula?

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± 2√(b² - 4ac)) / a

• x = (-b ± 4√(b² - ac)) / (2a)

Calculate the value of the determinant of the matrix [[1, 2], [3, 4]].

• 0

• 2

• -2

• -4

What is the sum of the interior angles of a triangle?

• 120 degrees

• 360 degrees

• 90 degrees

• 180 degrees

If f(x) = x^2, what is f'(2)?

• 4

• 2

• 8

• 0

What is the value of log10(100)?

• 1

• 10

• 2

• 1000

Solve the equation: x^2 - 5x + 6 = 0.

• x = 1, x = 4

• x = 0, x = 5

• x = 2, x = 3

• x = -2, x = -3