Questions

• 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

  直線 $2 x-y-6=0$ 與圓 $x^{2}+y^{2}-8 y-14=0$ 相交於 $P$ 及 $Q$ 。求 $P Q$ 的中點的 $y$ 坐標。

  2016

• More About Probability Recognize the notation of set language including union, intersection, and complement Understand the addition law of probability and concepts of mutually exclusive events and complementary events

  某箱子內有 9 罐咖啡及 3 罐紅茶。若從該箱子中隨機取出 4 罐, 求取出至少 2 罐紅茶的概率。

  2016

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

  某班有 20 名男生及 15 名女生。若從該班中選出 6 名學生組成一個至多有 2 名女生的委員會, 則可組成多少個不同的委員會?

  2016

• 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

  下列何者正確？ I. 該分佈的上四分位數為 55 分。 II. 佩玲在該測驗中的標準分低於 2 。 III. 該分佈的標準差大於 12 分。

  

  2016

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

  某組數的方差為 49 。將該組的每個數乘以 4 後各加上 9 而成新一組數。求新一組數的方差。

  2016

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

  $3m^{2}-5mn+2n^{2}+m-n=$

  2017

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

  $\left(\frac{1}{9^{555}}\right) 3^{444}=$

  2017

• More About Equations Solve problems involving equations which can be transformed into quadratic equations

  若 $\frac{a+4b}{2a}=2+\frac{b}{a}$，則 $a=$

  2017

• Numerical Estimation choose appropriate means for calculation such as mental computation, calculators or paper and pencil etc.

  $\frac{1}{\pi^{4}}=$

  2017

• Inequalities and Linear Programming Solve compound linear inequalities in one unknown Represent the graphs of linear inequalities in two unknowns in the rectangular coordinate plane

  $6-x<2x-3$ 或 $7-3x>1$ 的解為

  2017