.
Oxford Cambridge and RSA
Wednesday 15 May 2019 – Morning
AS Level Mathematics B (MEI)
H630/01 Pure Mathematics and Mechanics
Time allowed: 1 hour 30 minutes
* 7 6 9 2 6 6 9 3 1 4 *
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.
• Answer all the questions.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. Additional paper may be used if necessary but you must clearly show your
candidate number, centre number and question number(s).
• 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 70.
• The marks for each question are shown in brackets [ ].
• You are advised that an answer may receive no marks unless you show sufficient detail
of the working to indicate that a correct method is used. You should communicate your
method with correct reasoning.
• The Printed Answer Booklet consists of 12 pages. The Question Paper consists of
8 pages.
© OCR 2019 [603/0991/X] OCR is an exempt Charity
DC
This study source (LEG/CGW)
was downloaded174179/4
by 100000839306532 from CourseHero.com on 06-07-2022 07:00:11 GMT -05:00 Turn over
https://www.coursehero.com/file/125900818/2019-OCR-B-MEI-Maths-MAY-QP-1-1pdf/
, 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 ! Nh,
n
where n C r = n C r = c m =
n!
r r! ^n - rh !
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh
2! r!
Differentiation from first principles
f ^x + hh - f (x)
f l (x) = lim
h "0 h
Sample variance
1 ^/ xih2
s2 = S xx where S xx = / (xi - -x ) 2 = / x 2i - = / x 2i - nx- 2
n-1 n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
This study
© OCRsource
2019 was downloaded by 100000839306532 from CourseHero.com on 06-07-2022
H630/01 Jun19 07:00:11 GMT -05:00
https://www.coursehero.com/file/125900818/2019-OCR-B-MEI-Maths-MAY-QP-1-1pdf/
Oxford Cambridge and RSA
Wednesday 15 May 2019 – Morning
AS Level Mathematics B (MEI)
H630/01 Pure Mathematics and Mechanics
Time allowed: 1 hour 30 minutes
* 7 6 9 2 6 6 9 3 1 4 *
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.
• Answer all the questions.
• Write your answer to each question in the space provided in the Printed Answer
Booklet. Additional paper may be used if necessary but you must clearly show your
candidate number, centre number and question number(s).
• 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 70.
• The marks for each question are shown in brackets [ ].
• You are advised that an answer may receive no marks unless you show sufficient detail
of the working to indicate that a correct method is used. You should communicate your
method with correct reasoning.
• The Printed Answer Booklet consists of 12 pages. The Question Paper consists of
8 pages.
© OCR 2019 [603/0991/X] OCR is an exempt Charity
DC
This study source (LEG/CGW)
was downloaded174179/4
by 100000839306532 from CourseHero.com on 06-07-2022 07:00:11 GMT -05:00 Turn over
https://www.coursehero.com/file/125900818/2019-OCR-B-MEI-Maths-MAY-QP-1-1pdf/
, 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 ! Nh,
n
where n C r = n C r = c m =
n!
r r! ^n - rh !
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh
2! r!
Differentiation from first principles
f ^x + hh - f (x)
f l (x) = lim
h "0 h
Sample variance
1 ^/ xih2
s2 = S xx where S xx = / (xi - -x ) 2 = / x 2i - = / x 2i - nx- 2
n-1 n
Standard deviation, s = variance
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
This study
© OCRsource
2019 was downloaded by 100000839306532 from CourseHero.com on 06-07-2022
H630/01 Jun19 07:00:11 GMT -05:00
https://www.coursehero.com/file/125900818/2019-OCR-B-MEI-Maths-MAY-QP-1-1pdf/
