2011 英国高考数学试卷之一

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Centre Number Candidate Number

Surname

Other Names

Candidate Signature

General Certificate of Education

Advanced Level Examination

January2011

Mathematics MPC4

Unit Pure Core4

Monday24January20119.00am to10.30am

For this paper you must have:

*the blue AQA booklet of formulae and statistical tables.

You may use a graphics calculator.

Time allowed

*1hour30minutes

Instructions

*Use black ink or black ball-point pen.Pencil should only be used for drawing.

*Fill in the boxes at the top of this page.

*Answer all questions.

*Write the question part reference(eg(a),(b)(i)etc)in the left-hand margin.

*You must answer the questions in the spaces provided.Do not write outside the box around each page.

*Show all necessary working;otherwise marks for method may be lost.

*Do all rough work in this book.Cross through any work that you do not want to be marked.

Information

*The marks for questions are shown in brackets.

*The maximum mark for this paper is75.

Advice

*Unless stated otherwise,you may quote formulae,without proof, from the booklet.

For Examiner’s Use

Examiner’s Initials

Question Mark

1

2

3

4

5

6

7

8

TOTAL

P38267/Jan11/MPC46/6/6/MPC4 (JAN11MPC401)

Answer all questions in the spaces provided.

1(a)Express 2sin x þ5cos x in the form R sin ðx þa Þ,where R >0and 0°

Give your value of a to the nearest 0.1°.(3marks)

(b)(i)Write down the maximum value of 2sin x þ5cos x .

(1mark)(ii)Find the value of x in the interval 0°4x 4360°at which this maximum occurs,

giving the value of x to the nearest 0.1°.(2marks)...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................P38267/Jan11/MPC4

QUESTION

PART

REFERENCE

(02)

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