AS Level Mathematics B (MEI) H630/01 Pure Mathematics and Mechanics

OCR AS LEVEL MATHEMATICS B

PAPER 1 JUNE 2022 QUESTION

PAPER

You must have:

• the Printed Answer Booklet • a scientific or graphical calculator

Oxford Cambridge and RSA Thursday 19 May 2022 – Afternoon AS Level Mathematics B (MEI) H630/01 Pure Mathematics and Mechanics

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 your final answers to a degree of accuracy that is appropriate to the context.• 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 70.• The marks for each question are shown in brackets [ ].• This document has 8 pages.

ADVICE

• Read each question carefully before you start your answer.

© OCR 2022 [603/0991/X]

DC (NF/CGW) 300618/4

OCR is an exempt Charity * 9 1 1 9 9

2 5 4 7 *

Turn over

• 1

2 2 2 L P 2! r!

2 Formulae AS Level Mathematics B (MEI) (H630)

Binomial series (a + b) n = a n + n C 1 a n–1 b + n C 2 a n–2 b 2

+ ... +

n C r a n–r b r

• ... +b

n

n e N , n J n N n!where C r = n C r = 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 i h 2

• 2

s = n S xx where S xx = /(x i - -

• = / x

i - n = / x i

• n

- x Standard deviation, s = variance

The binomial distribution If X + B n, p then P (X = r) = n C r 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 at 2

s = 1 (u + v) t v 2 = u 2

• 2as

s = vt - 1 at 2

© OCR 2022 H630/01 Jun22