Mathematics (Extended) Revision Notes
Cambridge IGCSE 0580 · 12 topics, in syllabus order.
Topic 1
Foundations
Number types, primes, sets, powers, fractions and the four operations.
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Topic 2
Powers, Form & Proportion
Index laws, standard form, estimation, bounds, ratio and rates.
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Topic 3
Money, Growth & Surds
Percentages, interest, time, currency, exponential growth and surds.
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Topic 4
Algebra
Manipulation, fractions, equations, inequalities, quadratics, sequences and proportion.
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Topic 5
Graphs, Calculus & Functions
Practical graphs, function families, sketching curves, differentiation and functions.
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Topic 6
Coordinate Geometry
Gradients, straight lines, parallel and perpendicular.
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Topic 7
Geometry
Angles, polygons, similarity and circle theorems.
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Topic 8
Mensuration
Perimeter, area, surface area and volume of solids.
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Topic 9
Trigonometry
Pythagoras, SOHCAHTOA, exact values, graphs, sine/cosine rules and 3D trigonometry.
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Topic 10
Transformations & Vectors
Vector notation, magnitude and the four transformations.
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Topic 11
Probability
Single and combined events, tree and Venn diagrams.
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Topic 12
Statistics
Averages, charts, cumulative frequency and correlation.
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