2002 年

The 10th term of an arithmetic sequence is $29$ and the sum of the first $10$ terms is $155$. The 2nd term of the sequence is

The simple interest on a sum of money at $r\%$ p.a. for $4$ years is equal to the compound interest on the same amount at $4\%$ p.a. for $4$ years compounded half-yearly. The value of $r$, correct to 2 significant figures, is

If $2x=3y=4z$, then $\dfrac{x+y-z}{x-y+z}=$

The cost price of a toy is $\$100$ and the marked price is $\$140$. If the toy is sold at $10\%$ discount of the marked price, the profit is

It is given that $y$ varies inversely as $x$. If $x$ is increased by $50\%$, then $y$ is decreased by

In the figure, $AC=$

The figure shows a rectangle inscribed in a circle. Find the area of the shaded region correct to the nearest $0.1\text{ cm}^2$.

The figure shows a parallelogram $ABCD$ with its diagonals meeting at $E$. If $AE=3\text{ cm}$ and $BE=2\text{ cm}$, find the area of the parallelogram correct to the nearest $0.1\text{ cm}^2$.

The figure shows a hemisphere, a right circular cone and a right cylinder with equal base radii. Their volumes are $a\text{ cm}^3$, $b\text{ cm}^3$ and $c\text{ cm}^3$ respectively.\nWhich of the following is true?

In the figure, $OCD$ and $OAB$ are two sectors. The length of $\widehat{AB}$ is