Questions

• 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

  $18+7x>4$ 或 $5-2x<3$ 的解為

  2015

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

  若 $\beta$ 為方程 $4x^{2}-5x-1=0$ 的根，則 $7+10\beta-8\beta^{2}=$

  2015

• Functions and Graphs Understand the features of the graphs of quadratic functions Find the maximum and minimum values of quadratic functions by the algebraic method

  圖中所示為 $y=a(x+b)^{2}$ 的圖像, 其中 $a$ 及 $b$ 均為常數。下列何者正確?

  

  2015

• Using Percentages understand the meaning of percentages and percentage changes apply percentages to solve problems involving simple andcompound interests, growth and depreciation.

  若某紀念品的價錢增加 $70 \%$ 且隨後減少 $60 \%$, 求該紀念品的價錢改變的百分數。

  2015

• Exponential and Logarithmic Functions Understand the properties of exponential functions and logarithmic functions and recognize the features of their graphs Solve exponential equations and logarithmic equations

  存款 $50000美元$，年利率 $6\%$，年期 3 年，複利計算，每季一結。求本利和準確至最接近的元。

  2015

• Variations Understand direct variations and inverse variations, and their applications to solving real-life problems Understand the graphs of direct and inverse variations

  設 $a \cdot b$ 及 $c$ 均為非零的數。若 $a: c=5: 3$ 及 $b: c=3: 2$, 則 $(a+c):(b+c)=$

  2015

• Variations Understand direct variations and inverse variations, and their applications to solving real-life problems Understand the graphs of direct and inverse variations

  已知 $z$ 隨 $x^{3}$ 及 $y^{2}$ 正變。當 $x=2$ 及 $y=1$ 時, $z=14$ 。當 $x=3$ 及 $y=-2$ 時, $z=$

  2015

• Arithmetic and Geometric Sequences and Their Summations Understand the concept and the properties of arithmetic sequences Understand the general term of an arithmetic sequence

  圖中，第 1 個圖案包含 5 粒點子。對任意正整數 n，第 (n+1) 個圖案是由第 n 個圖案加上 4 粒點子所組成。求第 6 個圖案的點子數目。

  

  2015

• Numerical Estimation choose appropriate means for calculation such as mental computation, calculators or paper and pencil etc. estimate, measure and calculate lengths, areas, capacities,volumes, weights, rates, etc.

  現有一袋砂糖。該袋砂糖的重量為5公斤，準確到最接近的1公斤。如果將這袋砂糖分裝成n包，每包的重量都是10克，準確到最接近的1克，求n的最大可能值。

  2015

• Pythagoras’ Theorem

  圖中, $N$ 為 $A C$ 上的一點且 $E$ 為 $D N$ 上的一點。若 $D N=6 \mathrm{~cm}$ 及 $E N=5 \mathrm{~cm}$, 則 $\triangle A B C$的面積為

  

  2015