2003 年

John's daily working hours have increased from 8 hours to 10 hours but his hourly pay has decreased by $25\%$. Find the percentage change in John's daily income.

A sum of $\$8\,000$ is deposited at $1\%$ p.a., compounded yearly. Find the interest earned after 4 years. Give the answer correct to the nearest dollar.

If $81^x=27^{2y}$ and $x$, $y$ are non-zero integers, then $x:y=$

Suppose $z$ varies directly as $x^2$ and inversely as $y$. When $x=4$ and $y=3$, $z=2$. When $x=2$ and $z=3$, $y=$

The scale of a map is $1:4\,000$. If the actual area of a sports field is $8\,000\text{ m}^2$, find its area on the map.

The length of a side of a regular 8-sided polygon is $6\text{ cm}$. Find its area, correct to 3 significant figures.

In the figure, $ABDF$ and $ACEG$ are straight lines. If the area of $\triangle ABC$ is $16\text{ cm}^2$ and the area of quadrilateral $BDEC$ is $20\text{ cm}^2$, then the area of quadrilateral $DFGE$ is

In the figure, $AEDC$ is a parallelogram. If $AB:BC=1:2$ and $AF:FE=2:1$, then area of $\triangle ABF$ : area of $\triangle BCD=$

In the figure, $OAB$ is a sector and $\widehat{AB}=\pi\text{ cm}$. Find the area of the sector.

The figure shows a right circular cone of base radius $6\text{ cm}$ and height $8\text{ cm}$. Find its volume.