Edexcel GCSE Maths November 2007 Calculator paper 6 (Higher)
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Examiner’s use only
Team Leader’s use only
Surname Initial(s)
Signature
Turn over
Paper Reference
5 5 2 5 0 6 Paper Reference(s)
5525/06Edexcel GCSEMathematics A – 1387Paper 6 (Calculator)
Higher TierFriday 9 November 2007 – MorningTime: 2 hours Materials required for examination Items included with question papersRuler graduated in centimetres and Nilmillimetres, protractor, compasses,pen, HB pencil, eraser, calculator.Tracing paper may be used.
Instructions to CandidatesIn the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper.Answer ALL the questions in the spaces provided in this question paper.You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets.
Information for CandidatesThe marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).There are 25 questions in this question paper. The total mark for this paper is 100. There are 24 pages in this question paper. Any blank pages are indicated.Calculators may be used.If your calculator does not have a π button, take the value of π to be 3.142 unless the question instructs otherwise.
Advice to CandidatesShow all stages in any calculations.Work steadily through the paper. Do not spend too long on one question.If you cannot answer a question, leave it and attempt the next one.Return at the end to those you have left out.
You must not write on this formulae page.Anything you write on this formulae page will gain NO credit.
Volume of a prism = area of cross section × length
Volume of sphere πr3 Volume of cone πr2h
Surface area of sphere = 4πr2 Curved surface area of cone = πrl
In any triangle ABC The Quadratic Equation
The solutions of ax2 + bx + c = 0
where a ≠ 0, are given by
Sine Rule
Cosine Rule a2 = b2 + c2– 2bc cos A
Area of triangle ab sinC12
=
sin sin sin
a b cA B C= =
13
=43
=
length
crosssection
rh
r
l
2( 4 )
2
b b acx
a− ± −
=
C
ab
c BA
Leave blank
3
Turn over*N29106A0324*
Answer ALL TWENTY FIVE questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1. In April 2004, the population of the European Community was 376 million.
In April 2005, the population of the European Community was 451 million.
Work out the percentage increase in population. Give your answer correct to 1 decimal place.
..................................%
2. The equation
x x3 5 60− =
has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working.
.................................. Q2
(Total 4 marks)
Q1
(Total 3 marks)
Leave blank
4
*N29106A0424*
3. Diagram NOT accurately drawn
X
Y Z 10.5 cm
5.6 cm
In the triangle XYZ
XY = 5.6 cm YZ = 10.5 cm angle XYZ = 90o
(a) Work out the length of XZ.
........................................ cm(3)
Diagram NOT accurately drawn
4 copies of the triangle are fitted together to make the shape shown in the diagram.
(b) Calculate the perimeter of the shape.
........................................ cm(2) Q3
(Total 5 marks)
Leave blank
5
Turn over*N29106A0524*
4.
Diagram NOT accurately drawn
10 cm
The diagram shows a semicircle. The radius of the semicircle is 10 cm.
Calculate the area of the semicircle. Give your answer correct to 3 significant figures. State the units of your answer.