1990 年

In the figure, the circular cylinder and the circular cone have the same height. The radius of the base of the cylinder is twice that of the cone. If the volume of the cone is $20\text{ cm}^3$, what is the volume of the cylinder?

The length, width and height of a cuboid are in the ratios $3:2:1$. If the total surface area of the cuboid is $88\text{ cm}^2$, find its volume.

In the figure, there are nine circles, each of radius 1. Find the shaded area.

Find the amount (correct to the nearest dollar) of $\$10\,000$ at $12\%$ p.a., compounded monthly, for 2 years.

If a flat is sold for $\$720\,000$, the gain is $20\%$. Find the percentage loss if the flat is sold for $\$540\,000$.

$\sin(180^\circ+\theta)+\sin(\theta-90^\circ)=$

If $0^\circ\le x<360^\circ$, which of the following equations has only one root?

If $\tan\theta=-\dfrac{4}{3}$ and $\theta$ lies in the second quadrant, then $\sin\theta-2\cos\theta=$

The figure shows a right pyramid with a square base. $VAB$, $VBC$, $VCD$ and $VDA$ are equilateral triangles. Find $\sin\angle VAH$.

In the figure, $TQ$ is the tangent to the circle at $A$. If arc $AC$ = arc $BC$ and $\angle PAQ=48^\circ$, then $\angle QAC=$