Topic question packs
Every question on each topic from the 2011–2024 papers, newest first, with the official mark scheme as a separate solutions booklet.
Algebra
Factorising & solving quadratics
Factorise then solve; quadratic equations
Completing the square & minimum values
(x+a)² form · least & greatest values
Surds
Simplify & rationalise surds
Indices & powers (non-calculator)
Laws of indices · non-calculator powers
Algebraic fractions & simplification
Single fractions · simplifying expressions
Proof & algebraic manipulation
“Prove that … ≡ …” identities
Simultaneous equations
Linear & non-linear pairs
Remainder & factor theorem
f(x) division · testing factors
Coordinate geometry
Coordinate geometry: straight lines
Equation, gradient, length & midpoint
Intersection of a curve and a line
Curve meets line · algebraic method
Calculus
Differentiation techniques
Differentiate polynomials
Differentiation from first principles
dy/dx from the limit definition
Tangents to curves
Gradient → equation of the tangent
Stationary points
Find & classify maxima / minima
Integration
∫ and reverse differentiation
Area under a curve
Definite integrals for area
Trigonometry & mensuration
Trigonometric graph sketching
y = a·sin/cos(bx) transformations
Mensuration & 3D solids
Pyramids, cylinders & sectors
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