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Basic arithmetic; fractions, decimals and percentages; calculations; indices and standard form; binary forms; algebra, simple equations; simultaneous equations; transposition of formulae; quadratic equations; logarithms; exponential functions; straight line graphs; linear laws from experimental data; graphical solution of equations; geometry; the circle and its properties; areas of plane figures; volumes of common solids; irregular areas and mean values of waveforms; trigonometry; the solution of triangles and their areas; vectors; presentation of statistical data; mean, median and mode; simple probability; graphs with logarithmic scales; Cartesian and polar co-ordinates; introduction to calculus.