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I. Numbers (1)
(399)
1. Integers
(47)
2. Divisibility
(50)
3. Prime factor decomposition
(35)
4. Fractions
(39)
5. Operations on fractions
(44)
6. Decimals
(25)
7. Decimals and fractions
(30)
8. General division
(26)
9. Powers and roots
(50)
10. Standard index form
(42)
11. Use of a calculator
(46)
II. Geometry and transformations
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13. Congruence of triangles
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14. Quadrilaterals and their properties
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15. Polygons and regular polygons
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16. Coordinates
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17. Symmetry
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18. Translations, reflections, rotations
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19. Enlargements
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20. Similarity
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21. Similarity – solving problems
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14. Triangles
(35)
15. Congruence of triangles
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16. Quadrilaterals and their properties
(40)
17. Polygons and regular polygons
(48)
18. Coordinates
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19. Symmetry
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20. Translations, reflections, rotations
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21. Enlargements
(33)
22. Similarity
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(26)
III. Algebraic expressions
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22. Algebraic expressions
(30)
23. Multiplying out the brackets
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24. Multiplication formulas
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25. Factorisation (by grouping)
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(27)
27. More factorisation
(25)
24. Algebraic expressions
(27)
25. Multiplying out the brackets
(33)
26. Multiplication formulas
(33)
27. Factorisation (by grouping)
(33)
28. Factorisation (other methods)
(24)
29. More factorisation
(22)
IV. Algebraic fractions (1)
(56)
28. Solving equations involving algebraic fractions
(31)
29. Changing the subject of the formula
(28)
V. Reasoning
(124)
30. Mathematical statements
(33)
31. Deductive reasoning
(23)
32. Understanding the theorem
(24)
33. Problem solving
(30)
34. Problem assumptions
(26)
33. Mathematical statements
(30)
34. Deductive reasoning
(20)
35. Understanding the theorem
(21)
36. Problem solving
(27)
37. Problem assumptions
(23)
VI. Sets
(33)
35. Sets
(33)
38. Sets
(30)
VII. Handling Data
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36. Problem specification
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37. Sampling
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38. Representing data
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39. Measures of central tendency – the arithmetic mean
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40. Measures of central tendency – the mode, the median
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41. Measures of variability (1)
(26)
42. Measures of variability (2)
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43. Cumulative frequency curve
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44. Skewness
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45. Case study (1)
(28)
46. Case study (2)
(23)
39. Problem specification
(35)
40. Sampling
(36)
41. Representing data
(54)
42. Measures of central tendency – the arithmetic mean
(36)
43. Measures of central tendency – the mode, the median
(35)
44. Measures of variability
(45)
45. Cumulative frequency curve
(21)
46. Skewness
(28)
47. Case study
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VIII. Geometry – Pythagorean theorem
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48. Application of the Pythagorean theorem in 2-D
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49. Application of the Pythagorean theorem in 3-D
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50. Ruler-and-compass constructions, locus (1)
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51. Ruler-and-compass constructions, locus (2)
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48. Pythagorean theorem
(33)
49. Application of the Pythagorean theorem in 2-D
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50. Application of the Pythagorean theorem in 3-D
(33)
51. Ruler-and-compass constructions, locus
(53)
IX. The circle
(236)
52. The circle
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53. Circle theorems
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54. Inscribed and central angles
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55. Equation of a circle
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56. Mutual position of two circles
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57. Mutual position of a line and a circle
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58. Circles inscribed and circumscribed
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59. Solving problems involving circles
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X. Percentages
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60. Percentages
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61. Solving problems involving percentages
(28)
62. Repeated percentage change
(33)
XI. Sequences
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63. Looking for the pattern
(35)
64. Finding the nth term of a sequence
(26)
XII. Ratio and proportion
(140)
65. Ratios
(31)
66. Proportions
(29)
67. Direct proportion
(33)
68. Inverse proportion
(29)
69. Rates of change
(30)
XIII. Trigonometry (1)
(182)
70. Trigonometric ratios in a right-angled triangle
(44)
71. Solving problems involving trigonometric ratios
(29)
72. Trigonometry of a general angle
(28)
73. Properties of trigonometric functions of a general angle (1)
(24)
74. Properties of trigonometric functions of a general angle (2)
(25)
75. Graphs of trigonometric functions
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76. Use of a calculator
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XIV. Probability
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77. Random processes
(48)
78. Counting problems
(55)
79. Classical concept of probability (1)
(25)
80. Classical concept of probability (2)
(41)
81. The set of possible outcomes
(47)
82. Mutually exclusive events
(25)
83. Independent events (1)
(24)
84. Independent events (2)
(25)
85. Solving simple problems in probability
(45)
80. Random processes
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81. Counting problems
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82. Classical concept of probability
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83. The set of possible outcomes
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84. Mutually exclusive events
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85. Independent events
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86. Solving simple problems in probability
(42)
XV. Graphs of different functions
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86. A function and its graph
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87. Equation of a straight line
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88. Linear function
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89. Quadratic function (1)
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90. Quadratic function (2)
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91. Other functions
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92. Graphs and real-life situations
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87. A function and its graph
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88. Equation of a straight line
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89. Linear function
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90. Quadratic function
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XVI. Measures on the plane and in space
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93. Measuring (1)
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94. Measuring (2)
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95. Areas of plane shapes (1)
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96. Areas of plane shapes (2)
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97. Volume and surface area of prisms
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98. Volume and surface area of pyramids
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99. Volume and surface area of cylinders and spheres
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100. Volume and surface area of cones
(31)
101. Volumes of similar solids
(26)
93. Measuring
(50)
94. Areas of plane shapes
(47)
95. Volume and surface area of prisms
(28)
96. Volume and surface area of pyramids
(30)
97. Volume and surface area of cylinders and spheres
(29)
98. Volume and surface area of cones
(28)
99. Volumes of similar solids
(23)
XVII. Solving equations
(233)
102. Linear equations, solving linear equations
(25)
103. Solving simultaneous linear equations (1)
(26)
104. Solving simultaneous linear equations (2)
(26)
105. Solving problems involving simultaneous equations
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106. Solving quadratic equations
(27)
107. The quadratic formula
(25)
108. Solving problems involving quadratic equations (1)
(31)
109. Solving problems involving quadratic equations (2)
(27)
110. Solving equations by trial and error (1)
(25)
111. Solving equations by trial and error (2)
(22)
100. Linear equations, solving linear equations
(22)
101. Solving simultaneous linear equations
(46)
102. Solving problems involving simultaneous equations
(23)
103. Solving quadratic equations
(24)
104. The quadratic formula
(22)
105. Solving problems involving quadratic equations
(52)
106. Solving equations by trial and error
(41)
XVIII. Algebraic fractions (2)
(52)
112. Inequalities (1)
(30)
113. Inequalities (2)
(25)
XIX. Numbers (2)
(67)
114. Powers, roots and indices
(35)
115. Irrational numbers
(35)
XX. Vectors
(101)
116. Vectors
(30)
117. Operations on vectors
(29)
118. Scalar multiple
(26)
119. Applications of vectors
(28)
XXI. Correlation and regression
(119)
120. Sampling techniques
(26)
121. Regression line
(30)
122. Correlation
(22)
123. Analysing and comparing sets of data
(26)
124. Using probability to analyse random events
(27)
XXII. Trigonometry (2)
(111)
125. Trigonometric equations (1)
(25)
126. Trigonometric equations (2)
(23)
127. The sine formula for the area of a triangle
(24)
128. Solving problems involving trigonometric equations
(21)
129. Pythagorean theorem and trigonometry in 3-D
(30)
XXIII. Transformations of graphs
(171)
130. Transforming graphs of various functions
(23)
131. Transforming graphs of trigonometric functions (1)
(24)
132. Transforming graphs of trigonometric functions (2)
(26)
133. Using graphs (1)
(23)
134. Using graphs (2)
(27)
135. Graphs of simple loci
(22)
136. Area under a curve
(25)
137. Tangents to graphs
(22)
I. Numbers
(450)
1. Integers
(44)
2. Divisibility
(47)
3. Prime factor decomposition
(32)
4. Fractions
(31)
5. Operations on fractions
(36)
6. Decimals
(22)
7. Decimals and fractions
(27)
8. General division
(23)
9. Powers and roots
(42)
10. Standard index form
(39)
11. Use of a calculator
(43)
12. Powers, roots and indices
(32)
13. Irrational numbers
(32)
IV. Algebraic fractions
(102)
30. Solving equations involving algebraic fractions
(28)
31. Changing the subject of the formula
(25)
32. Inequalities
(49)
XIII. Trigonometry
(287)
70. Trigonometric ratios in a right-angled triangle
(41)
71. Solving problems involving trigonometric ratios
(26)
72. Trigonometry of a general angle
(25)
73. Properties of trigonometric functions of a general angle
(43)
74. Graphs of trigonometric functions
(23)
75. Use of a calculator
(21)
76. Trigonometric equations
(42)
77. The sine formula for the area of a triangle
(21)
78. Solving problems involving trigonometric equations
(18)
79. Pythagorean theorem and trigonometry in 3-D
(27)
XVIII. Vectors
(93)
107. Vectors
(22)
108. Operations on vectors
(23)
109. Scalar multiple
(23)
110. Applications of vectors
(25)
XIX. Correlation and regression
(116)
111. Sampling techniques
(23)
112. Regression line
(27)
113. Correlation
(19)
114. Analysing and comparing sets of data
(23)
115. Using probability to analyse random events
(24)
XX. Transformations of graphs
(168)
116. Transforming graphs of various functions
(20)
117. Transforming graphs of trigonometric functions
(44)
118. Using graphs
(44)
119. Graphs of simple loci
(19)
120. Area under a curve
(22)
121. Tangents to graphs
(19)
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