Condensed AQA Core 4 June 2012 Paper

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  • Created on: 07-06-13 16:19
Preview of Condensed AQA Core 4 June 2012 Paper

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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
You may use a graphics calculator.
Time allowed
1 hour 30 minutes s
Use black ink or black ball-point pen. Pencil should only be used for
Fill in the boxes at the top of this page.
Answer all questions.
margin. d
Write the question part reference (eg (a), (b)(i) etc) in the left-hand
You must answer each question in the space provided for that
question. If you require extra space, use an AQA supplementary
answer book; do not use the space provided for a different question.
Do not write outside the box around each page.
Show all necessary working; otherwise marks for method may be
Do all rough work in this book. Cross through any work that you do
not want to be marked.
The marks for questions are shown in brackets.
The maximum mark for this paper is 75.
Unless stated otherwise, you may quote formulae, without proof,
from the booklet.
You do not necessarily need to use all the space provided.
P50339/Jun12/MPC4 6/6/6/ MPC4

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À 6 A B
1 (a) (i) Express in the form þ . (2 marks)
xðx À 3Þ x xÀ3
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 þ px þ qÞ þ r
find the values of the constants p, q and r. (4 marks)
4x 3 þ 5x À 2
(ii) Find dx .…read more

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The value, £V , of an initial investment, £P, at the end of n years is given by the
r n
V ¼P 1þ
where r % per year is the fixed interest rate.
Mr Brown invests £1000 in Barcelona Bank at a fixed interest rate of 3% per year.
(a) (i) Find the value of Mr Brown's investment at the end of 5 years. Give your value to
the nearest £10 .…read more

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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 5 4
5 4
The lines l1 and l2 intersect at the point P.
(a) Show that q ¼ 4 and find the coordinates of P. (3 marks)
(b) Show that l1 and l2 are perpendicular.…read more


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