Mathematics Past Questions and Answers

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

The expression ax² + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

Evaluate 5^-3log₅2 x 2^2log₂3

In the diagram above, if ∠ RPS = 50^o, ∠ RPQ = 30^o and PQ = QR, find the value of ∠ PRS.

In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH.