A-Level Mathematics Hub

Take your A-Level Maths further.

Comprehensive coverage across Pure Mathematics, Applied Statistics, and Applied Mechanics with interactive calculators and KaTeX formulas.

Pure Mathematics

Calculus (differentiation & integration), trigonometric identities, composite functions f(g(x)), coordinate geometry, and algebraic proof.

∫xn dx=xn+1n+1+C\int x^n \, dx = \frac{x^{n+1}}{n+1} + C
  • Power rule, chain rule & product rule
  • Definite integrals & area under curves
  • Trig identities sin²x + cos²x = 1
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Applied Statistics

Data representation, probability models, Binomial distribution B(n, p), Normal distribution N(μ, σ²), and hypothesis testing.

P(X=k)=(nk)pk(1−p)n−kP(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
  • Binomial & Normal distributions
  • Null hypothesis H₀ testing
  • PMCC & linear regression
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Applied Mechanics

Kinematics under constant acceleration (SUVAT), variable acceleration with calculus, Newton's laws of motion, and resolving forces.

Fnet=m⋅aF_{net} = m \cdot a
  • SUVAT equations of motion
  • Resolving forces & friction
  • Connected particles & pulleys
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