2005 年

If the 2nd term and the 5th term of a geometric sequence are $-3$ and $192$ respectively, then the common ratio of the sequence is

Peter sold two flats for $\$999\,999$ each. He lost $10\%$ on one and gained $10\%$ on the other. After the two transactions, Peter

Let $x$ and $y$ be non-zero numbers. If $2x-3y=0$, then $(x+3y):(x+2y)=$

If $z$ varies directly as $y^2$ and inversely as $x$, which of the following must be constant?

In the figure, the bearing of $P$ from $Q$ is

In the figure, $ABCD$ is a rhombus and $CDE$ is an equilateral triangle. If $ADE$ is a straight line, then the area of the quadrilateral $ABCE$ is

The figure shows a solid right circular cone of height $5\text{ cm}$ and slant height $13\text{ cm}$. Find the total surface area of the cone.

The figure shows a right triangular prism. Find the volume of the prism.

In the figure, $OAB$ is a sector of radius $2\text{ cm}$. If the length of $\widehat{AB}$ is $3\pi\text{ cm}$, then the area of the sector $OAB$ is

For $0^\circ\le\theta\le90^\circ$, the greatest value of $\dfrac{5-\sin\theta}{4+\sin\theta}$ is