difficulty mix of each set, easier to harder
1Algebra
- Algebraic fractions15
- Algebraic proof15
- Functions: composite and inverse15
- Graph transformations and the equation of a circle15
- Graphs of quadratic, cubic, reciprocal and exponential functions; turning points15
- Iteration15
- Linear equations (incl. unknowns both sides, fractions)15
- Linear inequalities & number lines; quadratic inequalities15
- Quadratic equations: factorising, formula, completing the square15
- Real-life graphs, gradient as rate, area under a graph15
- Sequences: nth term (linear & quadratic), geometric, Fibonacci-type15
- Simplifying, expanding & factorising (incl. quadratics)15
- Simultaneous equations (linear & linear/quadratic)15
- Straight-line graphs: gradient, y = mx + c, parallel & perpendicular15
- Substitution & rearranging formulae (changing the subject)15
2Geometry & measures
- Angles: parallel lines, triangles, polygons (interior/exterior)15
- Bearings15
- Circle theorems15
- Congruence & similarity (incl. area/volume scale factors)15
- Constructions & loci15
- Perimeter & area (incl. compound shapes, circles, arcs & sectors)15
- Pythagoras' theorem (2D & 3D)15
- Right-angled trigonometry & exact values15
- Sine rule, cosine rule, area = ½ab sin C15
- Transformations: reflection, rotation, translation, enlargement (incl. negative/fractional)15
- Vectors (incl. vector proof)15
- Volume & surface area (prisms, cylinders, cones, spheres, pyramids)15
3Number
- Compound interest, growth & depreciation15
- Factors, multiples, primes, HCF & LCM15
- Fractions, decimals & recurring decimals15
- Indices & roots (incl. fractional/negative)15
- Percentages, percentage change, reverse percentages15
- Place value, ordering, negative numbers & BIDMAS15
- Rounding, estimation & bounds / error intervals15
- Standard form15
- Surds15
4Probability
5Ratio, proportion & rates of change
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