1995 年

$x$ and $y$ are two variables. The table below shows some values of $x$ and their corresponding values of $y$.

Which of the following may be a relation between $x$ and $y$ ?

If $125^x=25^y$ and $x,y$ are non-zero, find $x:y$.

Find the interest on $\$P$ at $r\%$ p.a. for $n$ years, compounded half-yearly.

In the figure, $ABCD$ is a trapezium. Find its area.

In the figure, the solid consists of a cylinder and a right circular cone with a common base which is a circle of radius $3\text{ cm}$. The height of the cylinder is $10\text{ cm}$ and the slant height of the cone is $5\text{ cm}$. Find the total surface area of the solid.

$\dfrac{\cos^2\theta}{1+\sin\theta}-1=$

If $0<x<2\pi$, solve $\sin x=\dfrac13$ correct to 3 significant figures.

The greatest value of $\dfrac{1}{2^{1-\sin x}}$ is

According to the figure, which of the following must be true ?

In the figure, the bearing of $B$ from $A$ is