Mathematics Past Questions and Answers

If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x.

If log₃x² = -8, what is x?

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?