Questions

• Basic Properties of Circles Understand the angle properties of a circle Understand the properties of tangents to a circle and angles in the alternate segments

  圖中，$PQS$ 為一圓。延長 $PQ$ 至 $R$ 使得 $RS$ 為圓在 $S$ 的切線。$I$ 為 $\triangle QRS$ 的內心。若 $\angle IRQ=12^{\circ}$ 及 $\angle PSQ=70^{\circ}$，則 $\angle QPS=$？

  

  2014

• Equations of Circles Find the coordinates of the intersections of a straight line and a circle and understand the possible intersection of a straight line and a circle

  若直線 $x-y=k$ 與圓 $x^{2}+y^{2}+2 x-4 y-1=0$ 相交於 $A$ 及 $B$ 點，則 $AB$ 線段的中點的 $x$ 坐標為

  2014

• Permutations and Combinations Understand the concept and notation of combination Solve problems on the combination of distinct objects without repetition

  某班有13名男生及17名女生。若從該班中選出2名男生及3名女生為一隊參與義工服務，則可組成多少不同的隊伍？

  2014

• Measures of Dispersion Understand the concept of standard deviation for both grouped and ungrouped data sets Compare dispersions of different data sets using appropriate measures

  在某考試中，文俊得了55分，他的標準分是-3；小麗得了95分，她的標準分是2。求該考試分數的平均值。

  2014

• Measures of Dispersion Understand the effect of adding/multiplying a constant on the dispersion of data

  若四個數 $a 、 b 、 c$ 及 $d$ 的方差為 9，則 $14-a 、 14-b 、 14-c$ 及 $14-d$ 這四個數的方差為

  2014

• More About Polynomials Perform division of polynomials Understand the remainder theorem

  $(x+1)\left(x^{2}+x+1\right)=$

  2015

• Exponential and Logarithmic Functions Understand the laws of rational indices Understand the definitions of rational indices

  $\frac{\left(3y^{6}\right)^{4}}{3y^{2}}=$ 的答案是什麼？

  2015

• More About Equations Use the algebraic method to solve simultaneous equations in two unknowns, one linear and one quadratic Solve problems involving equations which can be transformed into quadratic equations

  若 $p+3q=4$ 及 $5p+9q=2$，則 $p=$？

  2015

• Numerical Estimation determine whether to estimate values or to compute the exact values select and use estimation strategies to estimate values and to judge the reasonableness of results

  $0.0023456789=$

  2015

• Quadratic Equations in One Unknown Solve problems involving quadratic equations Understand relations between the roots and coefficients, form equations using these relations

  若 $m$ 及 $n$ 均為常數使得 $x^{2}+m x+n \equiv(x+4)(x-m)+6$, 則 $n=$

  2015