Cambridge · A Level · Syllabus 9709
Mathematics
8 topics8 with notes
0%
Study this subject topic by topic
Progress is saved on this device. Join free to keep it everywhere.
Form 5 · Lower 6 3 topics
- 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.
Form 6 · Upper 6 3 topicsExam year
- Pure 3: algebra, logarithms and numerical methods Modulus equations and inequalities (e.g. |x − 2| < |2x + 1|, squaring both sides); polynomial division; factor and remainder theorems; partial fractions (linear, repeated and quadratic factors); binomial expansion for any rational n with validity.
- Pure 3: further calculus and differential equations Derivatives of eˣ, ln x, sin, cos, tan; product and quotient rules; implicit and parametric differentiation.
- Pure 3: vectors and complex numbers Position vectors, magnitude, unit vectors; scalar product and angles; vector equations of lines r = a + tb; intersection, parallel and skew lines; perpendicular distance from a point to a line.
Form 5 · Lower 6 2 topics
- 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.