2009 年

A sum of $\$30\,000$ is deposited at an interest rate of $5\%$ per annum for $2$ years, compounded yearly. Find the interest correct to the nearest dollar.

In the following sequence, the 1st term, the 2nd term and the 3rd term are $1$, $2$ and $3$ respectively. For any positive integer $n$, the $(n+3)$th term is the sum of the $(n+2)$th term, the $(n+1)$th term and the $n$th term. Find the 9th term of the sequence. $1,\ 2,\ 3,\ 6,\ 11,\ \ldots$

The scale of a map is $1:5000$. If the area of a garden on the map is $4\text{ cm}^2$, then the actual area of the garden is

It is given that $y$ is partly constant and partly varies inversely as $x$. When $x=1$, $y=-1$ and when $x=2$, $y=1$. Find the value of $x$ when $y=2$.

The figure shows the positions of three real numbers $a$, $b$ and $c$ on the number line. Which of the following is the best estimate of $c(a-b)$ ?

If the angle of elevation of $P$ from $Q$ is $40^\circ$, then the angle of depression of $Q$ from $P$ is

The base of a solid right pyramid is a square. If the perimeter of the base is $48\text{ cm}$ and the length of each slant edge of the pyramid is $10\text{ cm}$, then the total surface area of the pyramid is

The base radius and the height of a right circular cylinder are $3\text{ cm}$ and $12\text{ cm}$ respectively while the base radius of a right circular cone is $6\text{ cm}$. If the volume of the circular cylinder and the volume of the circular cone are the same, then the height of the circular cone is

It is given that $A$, $B$ and $C$ are solid spheres. If the volume of $B$ : the volume of $C=1:8$ and the surface area of $A$ : the surface area of $B=9:4$, then the radius of $A$ : the radius of $C=$

In the figure, $OAB$ is a sector of radius $r\text{ cm}$. If $\angle AOB=120^\circ$ and the area of the sector is $12\pi\text{ cm}^2$, then $r=$