1994 年

The bearing of $A$ from $B$ is $075^\circ$. What is the bearing of $B$ from $A$?

If the sum to infinity of a G.S. is $\dfrac{81}{4}$ and its second term is $-9$, the common ratio is

In the figure, the paper cup in the form of a circular cone contains $10\text{ ml}$ of water. How many ml of water must be added to fill up the paper cup?

In the figure, $ABCD$ is a rectangular field of length $p$ metres and width $q$ metres. The path around the field is of width $2$ metres. Find the area of the path.

In the figure, $OACB$ is a sector of radius $r$. If $\angle AOB=\dfrac{\pi}{3}$, find the area of the shaded part.

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

Which of the following figures shows the graph of $y=1+\sin x$?

$\dfrac{\sin(180^\circ+\theta)}{\cos(90^\circ-\theta)}=$

In the figure, $ABCD$ is a cyclic quadrilateral with $AB=5$, $BC=2$ and $\angle ADC=120^\circ$. Find $AC$.

In the figure, $PC$ is a vertical pole standing on the horizontal plane $ABC$. If $\angle ABC=90^\circ$, $\angle BAC=30^\circ$, $AC=6$ and $PC=5$, find $\tan\theta$.