Questions

• Rate and Ratio understand the meaning of rate and ratio apply the ability in using rate, ratio to solve real-life problems including mensuration problems

  瑪麗進行了一項打字任務，共7小時。她前3小時的平均打字速度為每分鐘63字，最後4小時的平均打字速度為每分鐘56字。求她7小時的平均打字速度。

  2012

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

  在圖中，第1個圖案由1個點組成。對於任何正整數$n$，第$(n+1)$個圖案是通過向第$n$個圖案添加$n$個點形成的。找出第8個圖案中的點數。

  

  2012

• Approximation and Errors acquire further concepts and skills of rounding off numbers to a required number of significant figures use scientific notation in practical problems

  $0.0322515=$

  2012

• Inequalities and Linear Programming Solve compound linear inequalities in one unknown Solve quadratic inequalities in one unknown by the algebraic method

  一條細繩的長度測量為$25 \mathrm{~m}$，精確到最近的$\mathrm{m}$。如果這條繩子被切成$n$段，每段的長度測量為$5 \mathrm{~cm}$，精確到最近的$\mathrm{cm}$，找出$n$的最大可能值。

  2012

• Pythagoras’ Theorem

  在圖中，四邊形 $A B C D$ 的面積是

  

  2012

• Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

  在圖中，$OAB$和$OCD$是以$O$為中心的扇形。如果$\overparen{AB}=12\pi\mathrm{cm}，\widehat{CD}=16\pi\mathrm{cm}$且$OA=30\mathrm{cm}$，則$AC=$多少？

  

  2012

• More about Areas and Volumes

  在圖中，$ABCD$ 是一個平行四邊形。$E$ 和 $F$ 分別位於 $AB$ 和 $CD$ 上。延長 $AD$ 和延長 $EF$ 在 $G$ 點相交。已知 $DF:FC=3:4$ 且 $AD:DG=1:1$。如果 $\triangle DFG$ 的面積是 $3\mathrm{~cm}^{2}$，那麼平行四邊形 $ABCD$ 的面積是

  

  2012

• 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

  在圖中，$D$ 是位於 $AC$ 上的一點，使得 $BD$ 垂直於 $AC$。如果 $BC=\ell$，則 $AB=$

  

  2012

• 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

  $\frac{\cos 60^{\circ}}{1-\cos \left(90^{\circ}-\theta\right)}+\frac{\cos 240^{\circ}}{1-\cos \left(270^{\circ}-\theta\right)}=$ x

  2012

• Basic Properties of Circles Understand the angle properties of a circle Understand the properties of a cyclic quadrilateral

  在圖中，$O$ 是圓 $A B C D$ 的中心。如果 $\angle B A O=28^{\circ}, \angle B C D=114^{\circ}$ 且 $\angle C D O=42^{\circ}$，那麼 $\angle A B C=$多少度？

  

  2012