Description
Topics
Numbers: standard form, surds, indices, fractions, decimals, percentages, ratio, proportion
Algebra:
- Expanding, factorising (quadratics, difference of squares)
- Solving linear/quadratic/simultaneous equations
- Sequences & series (arithmetic, geometric)
- Functions, composite & inverse functions
Geometry:
- Angles, polygons, parallel lines, circles (theorems & tangents)
- Congruence & similarity (proof-based)
- Transformations: reflection, rotation, translation, enlargement
Mensuration:
- Perimeter, area (2D shapes, composite figures)
- Surface area & volume (prisms, spheres, cones, pyramids, cylinders)
- Arc length & sector area
Graphs & Coordinate Geometry:
- Straight-line graphs (y = mx + c)
- Quadratic graphs, cubic & reciprocal graphs
- Gradient, midpoint, distance formula, equation of line
Trigonometry:
- Sine, cosine, tangent (2D & 3D problems)
- Sine and cosine rule, area of triangle ½abSinC
Probability & Statistics:
- Probability trees, relative frequency
- Mean, median, mode, range, interquartile range
- Histograms, cumulative frequency graphs, box plots
