1996 年

Evaluate $1.15\div 15$ correct to 3 significant figures.

$\dfrac{27^x}{3^y}=$

Find the L.C.M. of $4x^2yz$ and $6xy^3$.

If $A=2\pi r^2+2\pi rh$, then $h=$

Find the remainder when $x^3-x^2+1$ is divided by $2x+1$.

Which of the following expressions has/have $b-c$ as a factor?

I. $ab-ac$ II. $a(b-c)-b+c$ III. $a(b-c)-b-c$

Solve $1<-3x+4<10$.

If $\dfrac{2}{x^2-1}\equiv\dfrac{a}{x+1}+\dfrac{b}{x-1}$, find $a$ and $b$.

In the figure, $(x,y)$ is any point in the shaded region (including the boundary). Which of the following is/are true?

I. $x\le y$ II. $x+y\le 4$ III. $x\le 6$

Solve $\begin{cases}x^2+y^2=13\\x+y=1\end{cases}$.