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General Certificate of Education
Advanced Level Examination
June 2012


Mathematics MPC4
Unit Pure Core 4
Thursday 14 June 2012 9.00 am to 10.30 am

For this paper you must have:
the blue AQA booklet of formulae and statistical tables. d
e
*


You may use a graphics calculator.


Time allowed…

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5x À 6 A B
1 (a) (i) Express in the form þ . (2 marks)
xðx À 3Þ x xÀ3
ð
5x À 6
(ii) Find dx . (2 marks)
xðx À 3Þ

(b) (i) Given that

4x 3 þ 5x À 2 ¼ ð2x þ 1Þð2x 2…

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4 The value, £V , of an initial investment, £P, at the end of n years is given by the
formula
r n
V ¼P 1þ
100

where r % per year is the fixed interest rate.

Mr Brown invests £1000 in Barcelona Bank at a fixed interest rate…

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3 22 3
0 2
7 The line l1 has equation r ¼ 4 À2 5 þ l 4 0 5 , where q is an integer.
q À1
2 3 2 3
8 2
The line l2 has equation r ¼ 3 þ m 5 5 .
4…

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