OCR 2023 GCE MATHEMATICS B MEI H630/02: PURE MATHEMATICS AND STATISTICS AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

2 © OCR 2023 H630/02 Jun23 -1 2 2 2 L P 2! r! Formulae AS Level Mathematics B (MEI) (H630) Binomial series (a + b) n = a n + nC1 a n–1 b + nC2 a n–2 b 2 + ... + nCr a n–r b r + ... +bn n e N , n Jn N n! where Cr = n Cr = K r O = r!^n -rh! ^1 + xh n = 1 + nx + n^n - 1h x 2 + ... + n^n - 1h...^n -r + 1h x r + ... x 1 1, n e R Differentiation from first principles f l(x) = lim f^x + hh - f(x) h"0 h Sample variance 2 1 2 2 ^/x ih 2 2 2 s = n Sxx where Sxx = /(xi - - x) = /xi - n = /xi -n - x Standard deviation, s = variance The binomial distribution If X + B n, p then P(X = r) = nCr p r q n-r where q = 1 -p Mean of X is np Kinematics Motion in a straight line v = u+at s = ut+ 1 at2 s = 1 (u + v) t v 2 = u 2 + 2as s = vt1 at2 3 © OCR 2023 H630/02 Jun23 Turn over BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE 4 © OCR 2023 H630/02 Jun23 1 A researcher collects data concerning the number of different social media platforms used by school pupils on a typical weekday. The frequency table for the data is shown below. Number of different social media platforms 0 1