Equations, expressions, identities and algebraic manipulation.
Subtopic 1: Note: Covers polynomial algebra only. The Numerical Remainder Concept belongs to Number System (1.7)
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Subtopic 2: Degree of Polynomial
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Subtopic 3: Polynomial Operations
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Subtopic 4: Remainder Theorem
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Subtopic 5: Factor Theorem
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Subtopic 6: Polynomial Division
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Subtopic 7: Polynomial Factorisation
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Subtopic 1: Note: Detailed Surds are covered here. Number System contains only a basic introduction
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Subtopic 2: Introduction to Surds
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Subtopic 3: Simplification of Surds
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Subtopic 4: Rationalisation
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Subtopic 5: Operations on Surds
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Subtopic 6: Applications
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Subtopic 1: Note: AP & GP belong to Algebra. Advanced Series (if any) should not be repeated in Advanced Mathematics
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Subtopic 2: Arithmetic Progression (AP)
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Subtopic 3: Geometric Progression (GP)
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Subtopic 4: Sum of Series
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Subtopic 5: Missing Term Problems
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Subtopic 6: Pattern-based Series
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Subtopic 1: Note: Questions are solved using algebraic equation formation. Direct arithmetic techniques belong to Topic 2 (Arithmetic)
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Subtopic 2: Number-based Problems
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Subtopic 3: Age Problems (Algebraic Method)
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Subtopic 4: Profit & Loss (Algebraic Method)
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Subtopic 5: Time, Speed & Distance (Algebraic Method)
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Subtopic 6: Time & Work (Algebraic Method)
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Subtopic 7: Mixed Word Problems
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