Mathematics Past Questions and Answers

Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)

Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.

A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.

In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

A fair die is tossed twice. What is its smple size?