《igcse-maths-past-paper数学考试题》由会员分享，可在线阅读，更多相关《igcse-maths-past-paper数学考试题（18页珍藏版）》请在金锄头文库上搜索。
1、Examiners use only Team Leaders use only Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Monday 10 May 2004 Morning Time: 2 hours Materials required for examinationItems included with question papers Ruler graduated in centimetres andNil millimetres, protractor,
2、 compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Centre No. Candidate No. Paper Reference 4 4 0 0 3 H SurnameInitial(s) Signature Turn over Instructions to Candidates In the boxes above, write your centre number and candidate number, your surname, initial(s) and signature.
3、The paper reference is shown at the top of this page. Check that you have the correct question paper. Answer ALL the questions in the spaces provided in this question paper. Show all the steps in any calculations. Information for Candidates There are 20 pages in this question paper. All blank pages
4、are indicated. The total mark for this paper is 100. The marks for parts of questions are shown in round brackets: e.g. (2). You may use a calculator. Advice to Candidates Write your answers neatly and in good English. Printers Log. No. N20710RA This publication may only be reproduced in accordance
5、with London Qualifications Limited copyright policy. 2004 London Qualifications Limited. W850/R4400/57570 4/4/4/1/3/1/3/1/3/1000 *N20710RA* PageLeave NumbersBlank 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Total N20710RA2 IGCSE MATHEMATICS 4400 FORMULA SHEET HIGHER TIER Pythagoras Theorem adj = hyp cos o
6、pp = hyp sin opp = adj tan or opp tan adj = adj cos hyp = opp sin hyp = Circumference of circle = 2r Area of circle = r2 Area of a trapezium=(a+b)h 1 2 b a opp adj hyp b a h length section cross a2+ b2= c2 Volume of prism = area of cross section length Volume of cylinder = r2h Curved surface area of
7、 cylinder = 2rh h r Volume of cone = r2h Curved surface area of cone = rl 1 3 r l r h Volume of sphere = r3 Surface area of sphere = 4r2 4 3 r In any triangle ABC Sine rule Cosine rule a2=b2+c22bccosA Area of triangle = absinC 1 2 sinsinsin abc ABC = C a b c BA The Quadratic Equation The solutions o
8、f ax2+bx+c=0 where a0, are given by 2 4 2 bbac x a = c Answer ALL TWENTY questions. Write your answers in the spaces provided. You must write down all stages in your working. 1.In July 2002, the population of Egypt was 69 million. By July 2003, the population of Egypt had increased by 2%. Work out t
9、he population of Egypt in July 2003. million (Total 3 marks) 2.(a) Expand 3(2t+1) . (1) (b) Expand and simplify (x+5)(x3) . (2) (c) Factorise 10p 15q . (1) (d) Factorise n2+4n . (1) (Total 5 marks) Leave blank N20710RA3Turn over Q2 Q1 Leave blank N20710RA4 3. A circle has a radius of 4.7cm. (a) Work
10、 out the area of the circle. Give your answer correct to 3 significant figures. . cm2 (2) The diagram shows a shape. (b) Work out the area of the shape. . cm2 (4) (Total 6 marks) Q3 Diagram NOT accurately drawn 7cm 6cm 3cm 11cm 2cm Diagram NOT accurately drawn 4.7cm Leave blank N20710RA5Turn over Q4
11、 4.The diagram shows a pointer which spins about the centre of a fixed disc. When the pointer is spun, it stops on one of the numbers 1, 2, 3 or 4. The probability that it will stop on one of the numbers 1 to 3 is given in the table. Magda is going to spin the pointer once. (a) Work out the probabil
12、ity that the pointer will stop on 4. . (2) (b) Work out the probability that the pointer will stop on 1 or 3. . (2) Omar is going to spin the pointer 75 times. (c) Work out an estimate for the number of times the pointer will stop on 2. . (2) (Total 6 marks) Number1234 Probability0.350.160.27 Leave
13、blank N20710RA6 Q6 5.(a) Express 200 as the product of its prime factors. . (2) (b) Work out the Lowest Common Multiple of 75 and 200. . (2) (Total 4 marks) 6.Two points, A and B, are plotted on a centimetre grid. A has coordinates (2, 1) and B has coordinates (8, 5). (a) Work out the coordinates of
14、 the midpoint of the line joining A and B. ( , ) (2) (b) Use PythagorasTheorem to work out the length of AB. Give your answer correct to 3 significant figures. . cm (4) (Total 6 marks) Q5 7.A = 1, 2, 3, 4 B = 1, 3, 5 (a) List the members of the set (i)A B, . (ii) A B. . (2) (b) Explain clearly the m
15、eaning of 3 A. (1) (Total 3 marks) 8.(i)Solve the inequality 3x+71 . (ii) On the number line, represent the solution to part (i). (Total 4 marks) Leave blank N20710RA7Turn over Q8 Q7 432101234 9.The grouped frequency table gives information about the distance each of 150 people travel to work. (a) W
16、ork out what percentage of the 150 people travel more than 20km to work. % (2) (b) Work out an estimate for the mean distance travelled to work by the people. km (4) (c) Complete the cumulative frequency table. (1) Leave blank N20710RA8 Distance travelled (dkm) Frequency 0d 534 5d 1048 10d 1526 15d 2018 20d 2516 25d 308 Distance travelled (dkm) Cumulative frequency 0 d5 0d 10 0d 15 0d 20 0d 25 0d 30 (d) On the grid, draw a c
