1985 年

A cone of base radius $2r\text{ cm}$ and height $h\text{ cm}$ has a volume of $60\text{ cm}^3$. The volume of a cylinder of base radius $r\text{ cm}$ and height $4h\text{ cm}$ is

In the figure, the volumes of the pyramids $VABC$ and $VPQR$ are $27\text{ cm}^3$ and $64\text{ cm}^3$ respectively. Planes $ABC$ and $PQR$ are parallel. Area of $\triangle ABC$ : Area of $\triangle PQR=$

The figure shows the graph of

In the figure, $AB$ is a diameter of the circle $ABC$. If arc $AC$ has the same length as $AB$, then $\angle CAB=$

In the figure, $\angle CAB=\angle CBD=90^\circ$. $BC=2$. The area of quadrilateral $ABCD=$

In the figure, $ABCD$ is a rectangle. $E$ is a point on $BC$ such that $\angle AED=90^\circ$. $AD=13$ and $DE=5$. The area of $ABCD=$

In the figure, $ABCD$ is a rectangle. $E$, $F$, $G$ and $H$ are points on the four sides such that $EF\parallel DB\parallel GH$. $AF=FB$ and $HC=2BH$. What fraction of the area of $ABCD$ is shaded?

In the figure, $FG$ touches the circle at $E$. The chord $CB$ is produced to meet $FG$ at $A$. $\angle ACE=$

In the figure the circle touches the sides of $\triangle ABC$ at $X$, $Y$ and $Z$. $O$ is the centre of the circle. Which of the following must be true?

I. $OA$ bisects $\angle BAC$ II. $A$, $X$, $O$ and $Z$ are concyclic III. $AX=AZ$