Mathematics Past Questions and Answers

\(\begin{array}{c|c} \text{No. of pets} & 0 & 1 & 2 & 3 & 4 \\ \hline \text{No. of students} & 8 & 4 & 5 & 10 & 3\end{array}\) The table shows the number of pets kept by 30 students in a class. If a student is picked at random ftom the class. What is the probability that he/she kept more than one pet?

Simplify 2\(\sqrt{3}\) - \(\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}\)

If sin 3y = cos 2y and 0^o \(\leq\) 90^o, find the value of y

A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x

Given that tan x = 1, where 0^o \(\geq\) x 90^o, evaluate \(\frac{1 - \sin^2 x}{\cos x}\)