1998 年

In the figure, find the area of the pentagon $ABCDE$.

The figure shows a test tube consisting of a cylindrical upper part of radius $1\text{ cm}$ and a hemispherical lower part of the same radius. If the height of the test tube is $12\text{ cm}$, find its capacity.

In the figure, $OABC$ is a sector. Find the area of the shaded region.

In the figure, find $CD$.

In the figure, find $x$ correct to 3 significant figures.

In the figure, $PQRS$ is a trapezium. Find $x$ correct to 3 significant figures.

In the figure, $PQ$ and $RS$ are two vertical poles standing on the horizontal ground. The angle of elevation of $R$ from $P$ is $20^\circ$ and the angle of depression of $S$ from $P$ is $40^\circ$. If $RS=5\text{ m}$, then $PR=$

In the figure, $AB$ is a diameter of the circle and $ABD$ is a straight line. $\angle CBD=$

In the figure, $AD$ is a diameter of the circle. If $\widehat{AB}:\widehat{BC}:\widehat{CD}=3:5:7$, then $\angle ADC=$

In the figure, $AB=BC=CA=CD$. Find $\angle CBD$.