IGCSE (9-1) MATHEMATICS SYLLABUS B
TOPIC WISE BREAKDOWN
1. ALGEBRA
I. Expansion & Simplification
II. Linear equation
III. Simultaneous equation
IV. Factorization
V. Quadratic equation
VI. Changing subject
VII. Variations
VIII. LCM HCF
IX. Sequences
X. Factor Remainder Theorem
XI. Inequality
XII. Indices
XIII. Evaluation (Numbers)
XIV. Word problem
XV. Upper and Lower Bound
2. FUNCTIONS
I. Evaluation
II. Inverse
III. Composite
IV. Solving equation
V. Mixed (Paper 2)
VI. Domain & Range
3. ARITHMETIC
I. Ratio
II. Speed Distance & Time
III. Map Scale
IV. Unitary Method & Exchange Rate
V. Percentage
VI. Mixed (Paper 2)
4. MATRIX
I. Scalar, Addition, Subtraction
II. Multiplication
III. Determinant and Inverse
IV. Solving equation (Paper 2)
V. Mixed
VI. Transformation (Paper 2)
5. EQUATION GRAPH
I. Calculus (dy/dx, stationary point, double differentiation)
II. Coordinate geometry (gradient, line equation, distance, tangent, normal)
III. Inequality shading & defining
IV. Motion graph (distance vs time & speed vs time)
V. Graph drawing (Paper 2)
6. Kinematics
I. Differentiation of distance/displacement & speed/velocity
II. Paper 2 broad questions
7. STATISTICS
I. Pie chart
II. Mean median mode (normal data, table data, word problem)
III. Histogram
8. SETS
I. Venn Diagram Shading
II. Non statement (symbols)
III. Statement (2 set & 3 set)
IV. Statement with probability
9. PROBABILITY
I. One draw
II. Replaced (Tree diagram or non-diagram)
III. Not replaced (Tree diagram or non-diagram)
IV. Conditional probability
V. Real life probabilities.
10. MENSURATION
I. Circle, Sector, Rectangle, Square,
II. Trapezium, Parallelogram, Rhombus, Kite
III. Cone, Cylinder, Sphere, Hemi-sphere
IV. Pyramid, Box, Cube & Prism
V. Shaded area, Surface area
11. GEOMETRY
I. Symmetry (LS & RS)
II. 5 angle theorems (triangle, straight line, point, quadrilateral, isosceles)
III. Polygon & Parallel lines
IV. Similarity (length, area and volume)
V. Circle theorem (Intersecting chord, secant tangent, secant secant)
VI. Circle theorem (same arc same side, centre angle twice of circumference)
VII. Circle theorem (cyclic quadrilateral, Right angle in a semi-circle)
VIII. Circle theorem (Radius perp. to tangent & Two tangents outside a circle are equal)
IX. Circle theorem (Alternate segment theorem)
X. Construction & locus
12. TRIGONOMETRY
I. Pythagoras theorem
II. SOHCAHTOA
III. Sine and Cosine rule
IV. Trigonometric ratios
V. Elevation & depression
VI. Three-dimensional Trigonometry
VII. Bearing (Scaled and non-scaled)
13. VECTORS
I. Scalar, Addition, Subtraction
II. Modulus
III. Angle
IV. Column Vectors
V. Vector Geometry
VI. Area in vector geometry
VII. Trigonometry in vector geometry
IGCSE (9-1) FURTHER PURE MATHEMATICS
TOPIC WISE BREAKDOWN
1. SIMULTANEOUS EQUATION
2. COMPLETING SQUARE
3. INEQUALITY PHASE I
4. NATURE OF ROOTS
5. FACTOR REMAINDER THEOREM
6. ALPHA BETA
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7. SURDS & INDICES
8. LOGARITHM & EXPONENTIAL
9. BINOMIAL EXPANSION PHASE II
10. ARITHMETIC SERIES & SIGMA NOTATION
11. GEOMETRIC SERIES
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12. COORDINATE GEOMETRY (BASIC)
13. CALCULUS (DIFFERENTIATION)
14. CALCULUS (INTEGRATION) PHASE III
15. MENSURATION (DIFFERENTIATION)
16. RATE OF CHANGE (DIFFERENTATION)
17. KINEMATICS (DIFFERENTIATION & INTEGRATION)
18. AREA VOLUME OF A GRAPH (INTEGRATION)
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19. EQUATION GRAPH (LINEAR FRACTION)
20. EQUATION GRAPH (QUADRATIC FRACTION)
21. EQUATION GRAPH (INEQUALITY SKETCHING & SHADING) PHASE IV
22. EQUATION GRAPH (GRAPH DRAWING)
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23. CIRCULAR MEASURE
24. TRIGONOMETRY 2D (SINE COSINE RULE) PHASE V
25. TRIGONOMETRY 3D
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26. TRIGONOMETRIC IDENTITY PROVING
27. TRIGONOMETRIC IDENTITY SOLVING PHASE VI
28. TRIGONOMETRIC INTEGRATION
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29. VECTOR (i,j)
30. VECTOR GEOMETRY PHASE VII
