Questions

• Approximation and Errors acquire further concepts and skills of rounding off numbers to a required number of significant figures understand and calculate different types of errors such as absolute errors, relative errors and percentage errors.

  一長方形金屬薄片的寬度及長度分別量得8厘米及10厘米，準確至最接近的厘米。設x平方厘米為該金屬片的實際面積。求x值的範圍。

  2014

• 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 $\frac{4}{5a}=\frac{5}{7b}=\frac{7}{9c}$，其中 $a\cdot b$ 及 $c$ 均為正數。下列何者正確？

  2014

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

  若 $z$ 隨 $x$ 反變且隨 $y$ 的立方正變，則下列何者必為常數？

  2014

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

  設 $a_{n}$ 爲某數列的第 $n$ 項。若 $a_{2}=7$、$a_{4}=63$ 及對任意正整數 $n$，$a_{n+2}=a_{n+1}+a_{n}$，則 $a_{5}=$？

  2014

• Simple Idea of Areas and Volumes

  圖中, $A B=A E$ 及 $\angle B A E=\angle B C D=\angle C D E=90^{\circ}$ 。若 $B C=C D=D E=16 \mathrm{~cm}$, 則五邊形 $A B C D E$ 的面積為

  

  2014

• Angles related with Lines and Rectilinear Figures

  圖中, $A B C D$ 爲一正方形。延長 $B C$ 至 $G$ 使得 $\angle C D G=25^{\circ} \circ E$ 爲 $A B$ 上的一點使得 $A E=C G$ 。若 $F$ 爲 $B C$ 上的一點使得 $\angle C D F=20^{\circ}$, 則 $\angle D F E=$

  

  2014

• More about Areas and Volumes

  圖中, $B$ 爲 $A C$ 上的一點使得 $A B: B C=3: 2$ 。已知 $A E / / B D$ 。若 $\triangle B C D$ 的面積及 $\triangle C D E$ 的面積分別爲 $4 \mathrm{~cm}^{2}$ 及 $8 \mathrm{~cm}^{2}$, 則梯形 $A B D E$ 的面積為

  

  2014

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  圖中，$\angle ABD=\angle ADC=\angle BCD=90^{\circ}$。若$AB=\ell$，則$CD=$

  

  2014

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  $\left(\cos \left(90^{\circ}+\theta\right)+1\right)\left(\sin \left(360^{\circ}-\theta\right)-1\right)=$

  2014

• Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

  圖中，$AC$ 為圓 $ABCDE$ 的一直徑。若 $\angle ADE=28^{\circ}$，則 $\angle CBE=$多少度？

  

  2014