2001 年

If $a=2-\dfrac{1}{1+b}$, then $b=$

$(2x^2-3x+1)(2-3x)=$

Let $\mathrm{f}(x)=(2x-1)(x+1)+2x+1$. Find the remainder when $\mathrm{f}(x)$ is divided by $2x+1$.

The figure shows a right-angled triangle where $AB:BC=3:4$. Find $\sin\theta$.

The bar chart below shows the distribution of scores in a test. Find the percentage of scores which are less than $3$.

If the straight lines $2x-3y+1=0$ and $5x+ky-1=0$ are perpendicular to each other, find $k$.

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

In the figure, the solid consists of a cylinder and a hemisphere with a common base of radius $6\text{ cm}$. Find the total surface area of the solid.

The figure shows a regular pentagon. Find its area correct to the nearest $0.01\text{ cm}^2$.

$\dfrac{a^{n-2}+a^{n-1}}{a^{n-2}}=$