内容目录

1. S1 \ 01 Basic Computation
   1. Quiz on Multiplication Table
   2. Quiz on Divisibility by 2, 3, 4, 5, 6, 8, 9 and 10
   3. Quiz on Concept of Power
   4. Prime & Composite Numbers
   5. Prime Factorisation of Positive Integers
   6. Can we divide by 3
2. S1 \ 02 HCF & LCM
   1. Meaning of HCF
   2. Meaning of LCM
   3. Finding H.C.F. by Listing Factors
   4. HCF & LCM of Three Numbers by Short Division
   5. HCF & LCM of Two Numbers by Prime Factorization
   6. Diagonal Problem
   7. Diagonal Problem Explained in Chinese!
   8. HCF and LCM Formative Assessment
3. S1 \ 03 Directed Numbers
   1. Horizontal, vertical and slanted Number Lines.
   2. Quiz on Number Line
   3. Addition and Subtraction of Directed Numbers (1)
   4. Quiz on Addition and Subtraction of Directed Numbers (1)
   5. Addition and Subtraction of Directed Numbers (2)
   6. Quiz on Addition and Subtraction of Directed Numbers (2)
   7. Quiz on Multiplication and Division of Directed Numbers
4. S1 \ 04 Introduction to Algebra
   1. Quiz on Meaning of Solving Equations
   2. Quiz on Solving One-step Linear Equations (1)
   3. Quiz on Solving One-step Linear Equations (2)
   4. Quiz on Index Notation 指數記數法：測驗
   5. AF3: Quiz Multilevel Quiz on Combining Like Terms
   6. Quiz on Index Notation
5. S1 \ 05 Introduction to Polynomials
   1. Quiz on Laws of Positive Indices
   2. Quiz on Simplifying Monomials 化簡單項式：測驗
   3. Terms about Polynomials 多項式的用語
   4. Area Model for Distributive Laws 分配律的面積模型
   5. Quiz on Multiplication of Polynomials 多項式的乘法：測驗
6. S1 \ 06 | Introduction to Geometry
   1. Measurement & Classification of Angles 角的量度和分類
   2. Addition of Angles 角的相加
   3. Classification of Triangles 三角形的分類
   4. Or book
7. S1 \ 07 Transformations and Symmetries
   1. Quiz on Translation 平移變換：測驗
   2. Quiz on Reflection 反射變換：測驗
   3. Quiz on Rotation 旋轉變換：測驗
   4. Reflectional Symmetry 反射對稱
   5. Rotational Symmetry 旋轉對稱
   6. 認識對稱圖形
   7. 找對稱軸題一
   8. 找對稱軸題二
   9. 找對稱軸題三
   10. 找對稱軸題四
   11. 找對稱軸題五
   12. 找對稱軸題六
   13. 找對稱軸題七
   14. 題一
   15. 題二
   16. 題三
   17. 題四
   18. 題五
   19. 題六
8. S1 \ 08 Introduction to Coordinates
   1. Introduction to Rectangular Coordinates
   2. Quiz on Rectangular Coordinates (1) 直角坐標測驗1
   3. Quiz on Rectangular Coordinates (2) 直角坐標測驗2
   4. Quiz on Points Lying on Vertical or Horizontal Line Segments 水平或鉛垂線段上的點
   5. Length of Horizontal or Vertical Line Segments 水平或鉛垂線段的長度
   6. Introduction to Polar Coordinates 極坐標簡介
   7. Quiz on Polar Coordinates (1) 極坐標測驗1
   8. Quiz on Polar Coordinates (2) 極坐標測驗2
9. S1 \ 09 Transformations in Cartesian Plane
   1. Translation 平移變換
   2. Reflection 反射變換
   3. Rotation 旋轉變換
   4. Quiz on Transformations in Cartesian Plane 直角坐標變換：測驗
10. S1 \ 10 Percentage(1)
    1. Fractions & Percentages 分數和百分數
    2. Percentage (Part-Whole) 所佔百分數
    3. Percentage Change 百分改變
    4. Quiz on Percentage Change 百分改變：測驗
    5. Cost, Marked Price & Selling Price 成本、標價與售價
    6. Quiz on Percentage Profit & Loss 盈虧百分率測驗
11. S1 \ 11 Angles associated with Parallel Lines
    1. Parallel Lines & Perpendicular Lines 平行線與垂直線
    2. Angles associated with Parallel Lines 平行線上的角
    3. Quiz on Angles associated with Parallel Lines 平行線上的角：測驗
12. S1 \ 12 Congruent Triangles
    1. Q1
    2. Q2
    3. Q3
    4. Q4
    5. Q5
    6. Q6
    7. Q7
    8. Quiz on Naming of Congruent Triangles 全等三角形的命名：測驗
    9. Quiz on Conditions for Congruence of Triangles 全等三角形的判定條件：測驗
13. S1 \ 13 Similar Triangles
    1. Concept of Similarity 相似的概念
    2. Quiz on Finding Unknowns in Similar Rectangles 求相似長方形中的未知量：測驗
    3. Quiz on Naming of Congruent & Similar Triangles 全等及相似三角形的命名：測驗
    4. Conditions for Similarity of Triangles (1) 相似三角形的判別條件(1)
    5. Conditions for Similarity of Triangles (2) 相似三角形的判別條件(2)
    6. Conditions for Similarity of Triangles (3) 相似三角形的判別條件(3)
    7. Summary of Conditions for Similarity of Triangles 相似三角形的判定條件：總結
14. S1 \ 14 Area & Volume(1)
    1. Pick's Formula
    2. 長方形和正方形的面積_題A至E
    3. Area of Rectangles and Squares (1)
    4. Area of Rectangles and Squares (2)
    5. Volume of the Cuboid
    6. Area of Parallelograms 平行四邊形的面積
    7. Area of Triangles 三角形的面積
    8. Area of Trapeziums 梯形的面積
    9. Quiz on Area of Simple Plane Figures 簡單平面圖形的面積：測驗
    10. Building Prisms 建造角柱體
    11. Quiz on Volume of Prisms 柱體的體積：測驗
15. S1 \ 15 Construction and Interpretation of Simple Diagrams and Graphs
    1. Stem and Leaf Plots | 幹葉圖
    2. 圓形圖
16. S2 \ 01 Ratios
    1. Concept of Ratios 比的概念
    2. Concept of Ratios(2) 比的概念(2)
    3. Ratio & Proportion 比與比例
    4. Quiz on Simplifying Ratios 比的化簡：測驗
    5. Dividing in a Ratio 按比分物
    6. Continued Ratio 連比
17. S2 \ 02 Identities, Factorization
    1. Equations & Identities 方程與恆等式
    2. Sum of Squares & Perfect Square 平方和與完全平方
    3. Quiz on Factorization of Quadratic Polynomials (Table Method) 因式分解一元二次多項式(表格法)：測驗
    4. Quiz on Factorization of Quadratic Polynomials (Cross Method) 因式分解一元二次多項式(十字相乘法)：測驗
    5. Difference of Two Squares 平方差 (1)
    6. Difference of Two Squares 平方差 (2)
    7. Quiz on Factorization of Difference of Squares | 平方差的因式分解：測驗
    8. Magical Squaring 兩位數平方速算
18. S2 \ 03 Simultaneous Linear Equations
    1. Simultaneous Linear Equations 聯立二元一次方程
    2. Simultaneous Linear Equations: Graphical Method 聯立二元一次方程：圖解法
19. S2 \ 04 Approximation & Errors
    1. Approximation: Decimal Places VS Significant Figures
    2. Rounding Quiz (Decimal Places) 小數位：測驗
    3. Rounding Quiz (Significant Figures) 有效數字：測驗
    4. Rounding Quiz (Combined) 小數位及有效數字：同步測驗
    5. Errors in Measurement 量度的誤差
    6. 量度的誤差 Errors in Measurement
20. S2 \ 05 Angles of Triangles & Polygons
    1. Exterior Angles of Polygons
    2. Folding an A4 Paper into an Equilateral Triangle 用A4紙摺出等邊三角形
    3. 尋找等腰三角形 Isosceles Triangle Hunt
    4. Interior & Exterior Angles of Triangles 三角形內角和及外角
    5. Quiz on Interior & Exterior Angles of Triangles 三角形內角和及外角：測驗
    6. Sum of Interior Angles of Polygons 多邊形內角和
    7. Sum of Exterior Angles of Polygons 多邊形外角和
    8. 多邊形的外角和
21. S2 \ 06 Radicals and Pythagoras' Theorem
    1. Verification of Pythagoras Theorem 驗証畢氏定理
    2. Proof of Pythagoras Theorem(1) 畢氏定理的証明(1)
    3. Perigal's Dissection
    4. Pythagoras Theorem and its Converse -free
    5. Pythagorean Triples 畢氏數組
    6. Square Root 平方根
    7. Rational vs Irrational 有理數與無理數
    8. Quiz on Estimation of Values of Surds 估算根式的值：測驗
    9. Simplification of Surds 化簡根式
22. S2 \ 07 Trigonometry
    1. Copy of Quiz on Solving Right Triangles (Finding Angles) 解直角三角形：測驗2（求角度）
    2. Quiz on Solving Right Triangles (Combined) 解直角三角形：合併測驗
    3. Trigonometric Ratios of Special Angles 特殊角的三角比
    4. Relations Among Trigonometric Ratios 三角比的關係
    5. Trigonometric Ratios: Sine 三角比：正弦
    6. Trigonometric Ratios: Cosine & Tangent 三角比：餘弦和正切
    7. Quiz on Opposite, Adjacent & Hypotenuse 辨認對邊、鄰邊、斜邊：測驗
    8. Quiz on Trigonometric Ratios 辨認三角比：測驗
    9. Quiz on Solving Right Triangles (Finding Side Lengths) 解直角三角形：測驗1（求邊長）
23. S2 \ 08 Area & Volume(2)
    1. Circumference 圓周
    2. Area of Circles 圓面積
    3. Sectors 扇形
    4. Quiz on Sectors 扇形：測驗
    5. Building Cylinders 建造圓柱體
24. S3 \ 01 Inequalities
    1. Quiz on Solving Inequalities 解不等式：測驗
    2. Inequalities and Number Line 不等式與數線
    3. Properties of Inequalities 不等式的加法與乘法性質
25. S3 \ 02 Law of Integer Exponential | Laws of Indices
    1. Meaning of Negative Indices 負指數的意義
    2. Quiz on Negative Indices 負指數：測驗
    3. Quiz on Laws of Indices
    4. Scientific Notation 科學記數法
    5. Quiz on Scientific Notation 科學記數法：測驗
    6. From Binary/ Hexadecimal To Denary 二／十六進制轉十進制
    7. From Denary to Binary/ Hexadecimal 十進制轉二／十六進制
26. S3 \ 03 Continued/More 3D Figures
    1. Angle between Two Planes 面面角
    2. Angle between Two Planes 兩平面之間的交角(面面角)(2)
    3. Angle between Two Planes in a Square Pyramid 正四角錐中兩平面間的交角
    4. Line Perpendicular to Plane 垂直於平面的直線
    5. Angle between a Line and a Plane 投影與線面角
    6. Quiz on Angle between a Line and a Plane 線面角：測驗
    7. 正四面體的反射對稱
    8. 正方體的反射對稱
    9. 正四面體的旋轉對稱
    10. 正四面體的旋轉對稱
27. S3 \ 04 Measures of Central Tendency
    1. Estimating Mean 猜猜平均數
    2. Measures of Central Tendency
    3. Measures of Central Tendency (two data sets)
    4. Mean of a Large Set of Data
    5. Weighted Mean
28. S3 \ 05 Special Lines in Triangles
    1. Special Lines & Centres of Triangles 三角形的特殊線和中心
    2. Quiz on Special Lines in Triangles 三角形內的特殊線：測驗
    3. Quiz on Centres of Triangles 三角形的中心：測驗
29. S3 \ 06 Percentage(2)
    1. Simple Interest 單利息
    2. Compound Interest 複利息
    3. Quiz on Interest 利息：測驗
    4. Salaries Tax in Hong Kong 薪俸稅
30. S3 \ 07 Applications of Trigonometry
    1. Contour Lines 等高線
    2. Angle of Elevation & Angle of Depression 仰角和俯角
    3. Bearings (Animated) 方位(動畫)
    4. Bearings 方位
    5. Quiz on True Bearings 真方位角：測驗
    6. Quiz on Compass Bearings 羅盤方位角：測驗
    7. Combined Quiz on Bearings 方位：合併測驗
31. S3 \ 08 Coordinate Geometry of a Straight Line
    1. Copy of Quiz on Mid-point 中點：測驗
    2. Distance between Two Points 兩點距離
    3. 兩點距離：測驗 Quiz on Distance between Two Points
    4. Meaning of Slope 斜率的意義
    5. Slope 斜率
    6. Quiz on Slope (1) | 斜率測驗(1)
    7. Quiz on Slope (2) | 斜率測驗(2)
    8. Quiz on Slope (3) | 斜率測驗(3)
    9. Quiz on Slope of Parallel Lines and Perpendicular Lines 平行線和垂直線的斜率：測驗
    10. Make a Linear Function
    11. 63=64=65 ?
32. S3 \ 09 Probability | Introduction to Probability
    1. Simulation of Rolling Dices 模擬投擲骰子
    2. Possible Outcomes of Rolling Two Dices 投擲兩枚骰子的可能結果
    3. Expectation Value
33. S3 \ 10 Quadrilaterals
    1. Properties of Special Quadrilaterals(1) 特殊四邊形的性質(1)
    2. Properties of Special Quadrilaterals(2) 特殊四邊形的性質(2)
    3. Properties of Special Quadrilaterals(3) 特殊四邊形的性質(3)
    4. Types of Quadrilaterals 四邊形的分類
    5. Quiz on Drawing Quadrilaterals 繪畫四邊形：測驗
    6. Poorly Drawn Quadrilaterals
    7. Midpoint Theorem 中點定理
    8. Intercept Theorem 截線定理
34. S3 \ 11 Area and Volume(3)
    1. Trisecting the Cube into 3 Pyramids
    2. Building Pyramids 建造角錐體
    3. Relationship between Volume and Surface Area of a Sphere
    4. Cone Anatomy
    5. Curved Surface Area of a Cone 圓錐的曲面面積
    6. Building Cones 建造圓錐體
    7. Surface Area of a Sphere (Mnemonic) 球體的表面面積（記憶法）
    8. Quiz on Formula about Area and Volume 面積及體積公式：測驗
    9. Frustum | 平截頭體
    10. Ratio of Areas and Volumes of Similar Figures 相似圖形的面積比和體積比
35. S4 \ 01 Measures of Dispersion
    1. Quartiles and Box Plot (one data set) 四分位數與框線圖（一組數據）
    2. Quartiles and Box Plot (two data sets) 四分位數與框線圖（比較兩組數據）
    3. Quiz on Quartiles and Box Plot 四分位數與框線圖：測驗
    4. Matching Histograms to Boxplots 配對組織圖和框線圖
    5. Standard Deviation (one data set) 標準差（一組數據）
    6. Standard Deviation (two data sets) 標準差（比較兩組數據）
    7. 標準差：測驗
    8. Standard Deviation of a Large Set of Data 大量數據的標準差
    9. Standard Score 標準分
36. S4 \ 02 Equation of Straight Lines
    1. Graphs of Linear Equations in Two Unknowns
    2. Equation of Straight Lines 直線的方程
    3. Steps in Finding Equation of Straight Lines 求直線方程的步驟
    4. Quiz on Equation of Straight Lines 直線的方程：測驗
    5. Reading Slopes from Equation of Straight Lines 由直線方程讀取斜率
    6. Comparing Equations of Two Straight Lines 比較兩條直線的方程
    7. Equations of Parallel Lines and Perpendicular Lines 平行線和垂直線方程
37. S4 \ 03 Trajectory | Loci
    1. Locus 軌跡(1)
    2. Locus 軌跡(2)
    3. Locus 軌跡(3)
    4. Locus 軌跡(4)
    5. Locus 軌跡(5)
    6. Locus 軌跡(6)
    7. Equation of Locus of a Point Equidistant from Two Points 軌跡方程：與兩點保持等距
    8. Two Common Loci 兩種常見軌跡
    9. Rolling Regular Polygon 滾動的正多邊形
    10. Rolling Coin 滾動的硬幣
38. S4 \ 04 Equation of Circles
    1. Equations of Circles 圓方程
    2. 圓方程：測驗 Quiz on Equations of Circles
39. S4 \ 05 Basic Properties of Circles
    1. Basic Terms about Circles 圓的基本用語
    2. Arcs and Angles at Centre/ Circumference 弧、圓心角與圓周角
    3. Inscribed Angle Theorem (V1)
    4. Inscribed Angle Theorem Dance: Take 2!
    5. Spotlight 探射燈
    6. Right Triangles in a Circle 圓內的直角三角形
    7. Angle at Centre & Angle at Circumference: Proof 圓心角與圓周角：証明
    8. Cyclic Quadrilaterals (IAT: Corollary 3)
    9. Quiz on Angles in a Circle 圓內的角：測驗
    10. Cyclic Quadrilaterals and Concyclic Points 圓內接四邊形與共圓點
    11. Tangent of a Circle 圓的切線
    12. Tangent to Circle at a Point 由圓周上的點作切線
    13. Tangents to Circle from External Point 由外點引切線
    14. Angle in Alternate Segment 內錯弓形的圓周角
    15. Opposite Angles of Cyclic Quadrilaterals (with tangent-chord angles)
    16. Relationships among 3 Circle Theorems 三個圓定理的關係
    17. Amazing Circles (1)
    18. Amazing Circles (2)
40. S4 \ 06 Introduction to Functions
    1. Function Machine 函數機器
    2. Guessing Functions 函數猜一猜
    3. Domain & Range of a Function 函數的定義域和值域
41. S4 \ 07 Quadratic Equations & Quadratic Functions
    1. Quiz on Quadratic Formula 二次公式：測驗
    2. Quiz on Discriminant 判別式：測驗
    3. Quadratic Function Calculator 二次函數計算器
    4. General Form of Quadratic Functions 二次函數的圖像：一般式
    5. General Form of Quadratic Functions(2) 二次函數的圖像：一般式(2)
    6. Quiz on Features of Quadratic Graphs 二次函數圖像的特徵：測驗
    7. Vertex Form of Quadratic Functions 二次函數的圖像：頂點式
    8. Vertex Form of Quadratic Functions(2) 二次函數的圖像：頂點式(2)
    9. Quiz on Signs of Coefficients of Quadratic Functions 二次函數係數的正負號：測驗
    10. 配方法 Completing the Square
    11. Different Forms of Quadratic Functions 二次函數的不同形式
    12. Quiz on Vertex Form of Quadratic Functions 二次函數的頂點式：測驗
    13. Life Examples of Quadratic Functions 生活中的二次函數
42. S4 \ 08 continued polynomials | More about Polynomials
    1. Expansion & Factorization 展開與因式分解
    2. Division Algorithm & Remainder Therorem 除法算式與餘式定理
43. S4 \ 09 Variations
    1. Direct and Inverse Variation 正變與反變
    2. Quiz on Direct and Inverse Variation 正變與反變：測驗
    3. Quiz on Joint Variation 聯變：測驗
    4. Quiz on Partial Variation 部分變：測驗
44. S5 \ 01 Continued/more Inequalities |
    1. Quiz on Solving Compound Inequalities 解複合不等式：測驗
    2. Quiz on Solving Quadratic Inequalities 解二次不等式：測驗
    3. Quiz on Solving Quadratic Inequalities 解二次不等式：測驗 (v2018)
45. S5 \ 02 Exponential and Logarithmic Functions
    1. Exponential (index) notation
    2. Quiz on Indices and Logarithms 指數和對數：測驗
    3. Graphs of Exponential Functions 指數函數的圖像
    4. Properties of Logarithms 對數的性質
    5. Graphs of Logarithmic Functions 對數函數的圖像
46. S5 \ 03 Arithmetic and geometric sequence
    1. Quiz on the N-th Term of a Sequence 數列的第n項：測驗
    2. General Term of an Arithmetic Sequence 等差數列的通項
    3. Arithmetic Series 等差級數
    4. General Term of a Geometric Sequence 等比數列的通項
    5. Geometric Series 等比級數
    6. Geometric Series: Proof without words 等比級數：無言證明
47. S5 \ 04 Continued Trigonometry
    1. 任意角的三角比
    2. Chik Coordinates from reference and reduction
    3. Comparing Trigonometric Values of Different Angles 比較不同角度的三角函數值
    4. Quiz on Rule of ASTC | ASTC法則：測驗
    5. Graphs of Trigonometric Functions 三角函數的圖像
48. S5 \ 05 Continued Trigonometry Application
    1. Sine Formula 正弦公式
    2. Proof without words: Cosine Rule (餘弦公式)
    3. Using Sine & Cosine Formulae 運用正弦和餘弦公式
    4. Solving Triangles (SSA case) 解任意三角形(SSA情況)
    5. Area Formulas for Triangles 三角形面積公式
    6. Heron's Formula 希羅公式
    7. HKDSE Sample Paper I #18
    8. HKDSE Practice Paper I #18
    9. HKDSE 2012 Paper I #18
    10. HKDSE 2013 Paper I #18
    11. HKDSE 2014 Paper I #17
    12. HKDSE 2015 Paper I #19
    13. HKDSE 2016 Paper I #19
    14. HKDSE 2017 Paper I #19
    15. HKDSE 2018 Paper I #17
    16. HKDSE 2019 Paper I #18
    17. HKDSE 2020 Paper I #19
    18. A Formula for Finding Angle between Two Planes 計算兩平面之交角的公式
    19. Folding Aeroplane (HKCEE 1999 )
49. S5 \ 06 Linear Inequalities in Two Unknowns
    1. Linear Inequalities in Two Unknowns 二元一次不等式
    2. Quiz on Linear Inequalities in Two Unknowns 二元一次不等式：測驗
    3. Linear Programming 線性規劃
50. S6 \ 01 Permutations & Combinations
    1. Meaning of Permutations & Combinations 排列與組合的意義
    2. Values of nCr & nPr 排列與組合的值
51. S6 \ 02 Continued Probability
    1. Learning Probability Laws by Drawing Cards | 運用圖案咭學習概率法則
52. S6 \ 03 Function Transformations
    1. Function Transformations(1) 函數圖像的變換 (1)
    2. Function Transformations(2) 函數圖像的變換 (2)
    3. Quiz on Function Transformations 函數圖像的變換：測驗
53. S6 \ 04 Complex Numbers
    1. Operations on Complex Numbers 複數的運算
54. S6 \ 05 Travel Graph
    1. Travel Graph 行程圖
    2. Travel Graph (Two Bodies) 行程圖 (雙物體)