Oxford Cambridge and RSA
AS Level Mathematics A
H230/01 Pure Mathematics and Statistics
Wednesday 16 May 2018 – Morning
Time allowed: 1 hour 30 minutes
* 7 0 0 8 9 2 3 5 0 0 *
You must have:
• Printed Answer Booklet
You may use:
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. HB pencil may be used for graphs and diagrams only.
• Complete the boxes provided on the Printed Answer Booklet with your name, centre
number and candidate number.
• Answer all the questions.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. If additional space is required, you should use the lined page(s) at the end of
this booklet. The question number(s) must be clearly shown.
• Do not write in the barcodes.
• You are permitted to use a scientific or graphical calculator in this paper.
• Final answers should be given to a degree of accuracy appropriate to the context.
• The acceleration due to gravity is denoted by g m s–2. Unless otherwise instructed, when
a numerical value is needed, use g = 9.8.
INFORMATION
• The total mark for this paper is 75.
• The marks for each question are shown in brackets [ ].
• You are reminded of the need for clear presentation in your answers.
• The Printed Answer Booklet consists of 16 pages. The Question Paper consists of
8 pages.
© OCR 2018 [603/0933/7] OCR is an exempt Charity
DC (LT/CT) 161967/2 Turn over
, PMT
2
Formulae
AS Level Mathematics A (H230)
Binomial series
^a + bhn = a n + n C 1 a n - 1 b + n C 2 a n - 2 b 2 + f + n C r a n - r b r + f + b n ^n ! Nh ,
where n C r = n C r = c m =
n n!
r r! ^n - rh !
Differentiation from first principles
f ^x + hh - f ^xh
f l^xh = lim
h"0 h
Standard deviation
/^x - x h2 / x2 / f ^x - x h2 / fx 2
= - x 2 or /f = / f -x
2
n n
The binomial distribution
If X + B ^n, ph then P ^X = xh = c m p x ^1 - ph , Mean of X is np, Variance of X is np ^1 - ph
n n-x
x
Kinematics
v = u + at
s = ut + 12 at 2
s = 12 ^u + vh t
v 2 = u 2 + 2as
s = vt - 12 at 2
© OCR 2018 H230/01 Jun18