Pearson Edexcel Level 3 Advanced Subsidiary and Advanced GCE Mathematics and Further Mathematics Mathematical formulae and statistical tables

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AS Mathematics Pure Mathematics Mensuration Surface area of sphere = 4πr2 Area of curved surface of cone = πr × slant height Binomial series (a + b) n = a n + n 1     ...   a n–1b + n 2       a n–2b 2 + . . . + n r       a n–rb r + . . . + b n (n ∈ ) where n r       = nCr = n r n r ! !( − )! Logarithms and exponentials loga x = log log b b x a e x ln a = a x Differentiation First Principles ′ = + − → f f f ( ) lim ( ) ( ) x x h x h 0 h Statistics Probability P P ( ) A A ′ = − 1 ( ) Standard deviation Standard deviation = √(Variance) Interquartile range = IQR = Q3 – Q1 For a set of n values x 1 , x 2 , . . . x i , . . . x n Sxx = Σ(x i – x) 2 = Σx i 2 – 2 (Σ ) i x n [Show More]

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