Challenging Maths for Grade 12

What is the derivative of sin(x)?

• sin^2(x)

• cos(x)

• sec(x)

• tan(x)

Solve for x: 2x^2 - 4x + 2 = 0

• x = -1

• x = 2

• x = 0

• x = 1

What is the integral of 1/x dx?

• e^x + C

• ln|x| + C

• ln(x) + C

• 1/x^2 + C

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

• 1/2

• 1

• 0

• -1

What is the value of the determinant of the matrix [[1,2],[3,4]]?

• 2

• 0

• -4

• -2

If f(x) = x^3 - 3x + 2, find f'(1).

• 2

• 0

• -1

• 1

What is the sum of the angles in a triangle?

• 180 degrees

• 360 degrees

• 90 degrees

• 45 degrees

Calculate the area of a circle with radius 5.

• 100.00

• 50.27

• 31.42

• 78.54

What is the quadratic formula?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (b ± 4ac) / (2√(b²))

• x = (2a ± b) / √(b² - 4ac)

If a = 3 and b = 4, what is the value of a^2 + b^2?

• 30

• 25

• 20

• 15