AS_Mathematics_Progression_MS_H630, pure mathematics and statistics

Mathematics B(MEI) (H630, H640)




Mathematics B(MEI) (H630, H640)

End of Stage 1/AS Mathematics:
Paper 2: Pure Mathematics and Statistics

Please note that you may see slight differences
between this paper and the original.
Duration: 1 hour 30 minutes
Candidates answer on lined paper.



Other materials required:
Scientific or graphical calculator




INSTRUCTIONS

• Use black ink. HB pencil may be used for graphs and diagrams only.
• Answer all the questions.
• 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 number of marks 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 total number pages is 12.




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, Formulae A Level Mathematics B (MEI) (H640)


Arithmetic series
Sn  21 n(a  l) 2 1 n{2a  (n 1)d}

Geometric series
a(1  rn )
Sn
 1r
a
S 1 r for r  1


Binomial series
(a  b)n  an  nC1 an1b  nC2 an2b2  K  n C anrbr  K  bn (n ¥ ) ,
r
where

n
C
n n!
C  
r nr   r!(n  r)!
 r
n(n 1) 2
(1 x)n  1  nx  x 

n(n 1)K (n  r 1) r
x  K
x  n ¡ 
K r! 1,
2!

Differentiation
f (x) f (x)
tan kx k sec2 kx
sec x sec x tan x
cot x cosec2 x
cosec x cosec x cot x
du dv
v u
Quotient Rule y  u dy
 dx dx
,
v dx v2

Differentiation from first principles
f (x  h)  f (x)
f (x) h lim
0 h

Integration

 f (x)
f (x)
dx  ln f (x)  c


n 1 n 1

 f (x)f (x) dx 
n 1
f (x)  c


dv
Integration by parts
dxu dx  uv 

dx
v

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, du
dx




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