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“Topic 3: Sequences, Functions, and Graphs connects algebra to visual representation in the Edexcel IGCSE Higher Tier syllabus. This section covers four key pillars: 1) Sequences (finding linear and quadratic nth terms); 2) Functions (mastering composite fg(x) and inverse f^{-1}(x) notation); 3) Graphs (plotting linear lines, quadratic curves, and solving equations graphically); and 4) Calculus (using differentiation to find gradients, turning points, and kinematic rates of change).”

“Algebraic Proof is a Grade 9 topic in the Edexcel IGCSE Higher Tier syllabus that requires demonstrating a mathematical statement is true for all values. To score full marks, students must use standard algebraic definitions: 2n for an even number, 2n+1 for an odd number, and n, n+1, n+2 for consecutive integers. Common proofs include showing divisibility by factorising the final result (e.g., 4(n²+n) is a multiple of 4) or proving an expression is always positive by completing the square.”

IGCSE Inequalities: Linear, Quadratic & Graphical Regions Inequalities describe a range of values rather than a single specific answer. In the Edexcel IGCSE 4MA1 Higher

There are three required methods for solving quadratic equations in the Edexcel IGCSE Higher Tier syllabus: 1) Factorisation (best for integer answers), 2) The Quadratic Formula (essential for decimals and surds), and 3) Completing the Square (used for solving and finding the turning point of a graph). Mastery of all three techniques is required to access the top grades (8-9).”

Master IGCSE Decimals & Recurring Fractions (Edexcel 4MA1 Topic 1.4)

Unlock the Higher Tier strategies for Topic 1.4: Decimals, focusing on the advanced Grade 9 skill of algebraically proving recurring fraction conversions. This definitive guide moves beyond basic ordering to teach the rigorous “Let x =” subtraction method required for the Edexcel IGCSE (4MA1) syllabus. Learn to handle tricky “mixed” recurring cycles (e.g., 0.25 with the 5 recurring), avoid the “calculator trap” that leads to zero marks on “Show that” questions, and master the exact algebraic steps needed to secure full method marks.

IGCSE Simultaneous Equations: Linear & Quadratic Guide Simultaneous equations involve finding the values of two variables (typically x and y) that satisfy two different equations

IGCSE Linear Equations: Solving with Brackets & Fractions Solving linear equations is the “bread and butter” of algebra. It is the process of finding the