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Further Pure Mathematics 4PM1/02 November 2023

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Circle Geometry—circle theorems, tangents, angles in semicircles, cyclic quadrilaterals Trigonometry—sine and cosine rules, solving triangles, finding unknown angles and sides, area of triangles using trigonometry Pythagoras’ Theorem—applications in 2D and 3D problems Geometrical Constructions and Loci—compass and ruler constructions, describing and interpreting loci Algebraic Equations—linear and quadratic equations, manipulation and solving, factorisation Similarity and Congruence—scale factors, identifying similar triangles, reasoning based on geometric properties
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