Oxford Cambridge and RSA AS Level Mathematics A H230/01 Pure Mathematics and Statistics with merged marking scheme.

You must have: •the Printed Answer Booklet •a scientific or graphical calculator QP Oxford Cambridge and RSA Thursday 18 May 2023 – Afternoon AS Level Mathematics A H230/01 Pure Mathematics and Statistics Time allowed: 1 hour 30 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided in the Printed Answer Booklet . If you need extra space use the lined pages at the end of the Printed Answer Booklet. The question numbers must be clearly shown. • Fill in the boxes on the front of the Printed Answer Booklet. • Answer all the questions. • Where appropriate, your answer should be supported with working. Marks might be given for using a correct method, even if your answer is wrong. • Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question. • The acceleration due to gravity is denoted by g m s–2. When a numerical value is needed use g = 9.8 unless a different value is specified in the question. • Do not send this Question Paper for marking. Keep it in the centre or recycle it. INFORMATION • The total mark for this paper is 75. • The marks for each question are shown in brackets [ ]. • This document has 12 pages. ADVICE • Read each question carefully before you start your answer. 7 OCR is an exempt Charity Turn over 2 © OCR 2023 H230/01 Jun23 x 2 2 2 Formulae AS Level Mathematics A (H230) Binomial series ^a + bhn = an + nC1 an-1b + nC2 an-2b2 +f+ nCr an-rbr +f+ bn ^n e Nh, where nC = C = cnm = n! r n r r r!^n - rh! Differentiation from first principles f l^xh = lim f^x + hh - f^xh h " 0 h Standard deviation / x2 / fx2 = n - x 2 or = / f - x 2 The binomial distribution If X ~ B^n, ph then P^X = xh = cnmpx^1 - phn -x , mean of X is np, variance of X is np^1 - ph Kinematics v = u + at s = ut + 1 at2 s = 1^u + vht v2 = u2 + 2as s = vt - 1 at2 n f ^x