Cambridge · Form 5 · Lower 6 · Syllabus 9709
Mathematics
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- Pure 1: quadratics and functions Completing the square, the discriminant (b² − 4ac), solving quadratic equations and inequalities, equations reducible to quadratics (e.g. x⁴ − 5x² + 4 = 0), and intersections of lines and curves.
- Pure 1: coordinate geometry, circular measure and trigonometry Lines, midpoints, distances, parallel and perpendicular gradients; circles (x − a)² + (y − b)² = r²; tangents and intersections.
- Pure 1: series, differentiation and integration Binomial expansion of (a + b)ⁿ for positive integer n; arithmetic and geometric progressions; sum to infinity |r| < 1.
- Mechanics Weight, normal contact force, tension, friction (F ≤ μR, limiting friction F = μR); resolving forces; equilibrium of a particle.
- Probability and statistics Stem-and-leaf, box plots, histograms, cumulative frequency; mean, standard deviation (including coded data: Σ(x − a) and Σ(x − a)²), median and quartiles.