IGCSE数学样题May-June 2010_2

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ALEVEL IGCSE 数学试卷-1

Paper 11
Mark Scheme Notes Marks are of the following three types: M Method mark, awarded for a valid method applied to the problem. Method marks are not lost for numerical errors, algebraic slips or errors in units. However, it is not usually sufficient for a candidate just to indicate an intention of using some method or just to quote a formula; the formula or idea must be applied to the specific problem in hand, e.g. by substituting the relevant quantities into the formula. Correct application of a formula without the formula being quoted obviously earns the M mark and in some cases an M mark can be implied from a correct answer. Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. Accuracy marks cannot be given unless the associated method mark is earned (or implied). Mark for a correct result or statement independent of method marks.

Igcse-数学-历年真题

4400/4HEdexcel IGCSEMathematicsPaper 4HHigher TierFriday 11 June 2010 – AfternoonTime: 2 hoursMaterials 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. Write your answers 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 22 questions in this question paper. The total mark for this paperis 100.You may use a calculator.Advice to CandidatesWrite your answers neatly and in good English.N36905AIGCSE MATHEMATICS 4400 FORMULA SHEET – HIGHER TIERAnswer ALL TWENTY TWO questions.Write your answers in the spaces provided.You must write down all stages in your working.1. Solve 6 y – 9 = 3 y + 7y = ................................(Total 3 marks) 2. The diagram shows two towns, A and B, on a map.(a) By measurement, find the bearing of B from A.....................................(2)C is another town.The bearing of C from A is 050.(b) Find the bearing of A from C.....................................(2)(Total 4 marks)3. A spinner can land on red or blue or yellow.The spinner is biased.The probability that it will land on red is 0.5The probability that it will land on blue is 0.2Imad spins the spinner once.(a) Work out the probability that it will land on yellow......................................(2)Janet spins the spinner 30 times.(b)Work out an estimate for the number of times the spinner will land on blue......................................(2)(Total 4 marks)4. Rosetta drives 85 kilometres in 1 hour 15 minutes.(a) Work out her average speed in kilometres per hour...................................... km/h(2)Rosetta drives a total distance of 136 kilometres.(b) Work out 85 as a percentage of 136................................. %(2)Sometimes Rosetta travels by train to save money.The cost of her journe y by car is £12The cost of her journey by train is 15% less than the cost of her journey by car.(c)Work out the cost of Rosetta’s journey by train.£ ...................................(3)(Total 7 marks)5.Calculate the value of x.Give your answer correct to 3 significant figures.x = ................................(Total 3 marks)6. A = {2, 3, 4, 5}B = {4, 5, 6, 7}(a)(i) List the members of A B......................................(ii) How many members are in A B?.....................................(2)ℰ = {3, 4, 5, 6, 7}P = {3, 4, 5}Two other sets, Q and R, each contain exactly three members.P Q = {3, 4}P R = {3, 4}Set Q is not the same as set R.(b)(i) Write down the members of a possible set Q......................................(ii) Write down the members of a possible set R......................................(2)(Total 4 marks)7. Rectangular tiles have width (x + 1) cm and height (5x – 2) cm.Some of these tiles are used to form a large rectangle.The large rectangle is 7 tiles wide and 3 tiles high.The perimeter of the large rectangle is 68 cm.(a) Write down an equation in x...............................................................................................................(3)(b) Solve this equation to find the value of x.x = ................................(3)(Total 6 marks)8. Show that 121 141 = 1519. The depth of water in a reservoir increases from 14 m to 15.75 m.Work out the percentage increase.................................. %(Total 3 marks)10. Quadrilaterals ABCD and PQRS are similar.AB corresponds to PQ.BC corresponds to QR.CD corresponds to RS.Find the value of(a) xx = ...............................(2)(b) yy = ...............................(1)(Total 3 marks)11. Simplify fully6x + 43x.....................................(Total 3 marks)12.(a)Find the equation of the line L......................................(3)(b) Find the three inequalites that define the unshaded region shown in the diagram below................................................................................................................(3)(Total 6 marks)13. (a) Solve x 2– 8x + 12 = 0.....................................(3)(b) Solve the simultaneous equationsy = 2x4x – 5y = 9x = ................................y = ................................(3)(Total 6 marks)14.The area of the triangle is 6.75 cm2.The angle x° is acute.Find the value of x.Give your answer correct to 1 decimal place.x = ................................(Total 3 marks)15. The unfinished histogram shows information about the heights, h metres, ofsome trees.(a) Calculate an estimate for the number of trees with heights in theinterval 4.5 < h ≤ 10.....................................(3)(b) There are 75 trees with heights in the interval 10 < h ≤ 13Use this information to complete the histogram.(2)(Total 5 marks)16. A bag contains 3 white discs and 1 black disc.John takes at random 2 discs from the bag without replacement.(a) Complete the probability tree diagram.First disc Second disc(3)(b)Find the probability that both discs are white......................................(2)All the discs are now replaced in the bag.Pradeep takes at random 3 discs from the bag without replacement.(c)Find the probability that the disc left in the bag is white......................................(3)(Total 8 marks)17. The diagram shows a sector of a circle, radius 45 cm, with angle 84°.Calculate the area of the sector.Give your answer correct to 3 significant figures.............................. cm2(Total 3 marks) 18.Calculate the length of AC.Give your answer correct to 3 significant figures................................ cm(Total 3 marks)19. A cone has slant height 4 cm and base radius r cm.The total surface area of the cone is 433π cm 2.Calculate the value of r .r = ................................(Total 4 marks)20. f(x) = (x – 1)2(a) Find f(8).....................................(1)The domain of f is all values of x where x ≥ 7(a)Find the range of f......................................(2)xg(x) =x1(c) Solve the equation g(x) = 1.2.....................................(2)(d) (i) Express the inverse function g –1 in the form g –1(x) = .......g –1(x) = ...................................(ii) Hence write down gg(x) in terms of x.gg(x) = ....................................(6)(Total 11 marks)21.In the diagram OA= a and OC= c.(a) Find CA in terms of a and c......................................(1)The point B is such that AB=1c.2(b) Give the mathematical name for the quadrilateral OABC......................................(1)The point P is such that OP= a + k c, where k ≥ 0(c) State the two conditions relating to a + k c that must be true for OAPCto be a rhombus.(2)(Total 4 marks)22. (a) Work out 5.2 × 102+ 2.3 × 104Give your answer in standard form......................................(2)a × 102 +b × 104 =c × 104(b) Express c in terms of a and b.c = ................................(2)(Total 4 marks)TOTAL FOR PAPER = 100 MARKSEND。

Igcse 数学历年真题

4400/4HEdexcel IGCSEMathematicsPaper 4HHigher TierFriday 11 June 2010 – AfternoonTime: 2 hoursMaterials 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. Write your answers 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: . (2).There are 22 questions in this question paper. The total mark for this paperis 100.You may use a calculator.Advice to CandidatesWrite your answers neatly and in good English.This publication may be reproduced only in accordance with Edexcel Limited copyright policy.©2010 Edexcel Limited.Printer’s Log. No. N36905AIGCSE MATHEMATICS 4400 FORMULA SHEET – HIGHER TIERAnswer ALL TWENTY TWO questions.Write your answers in the spaces provided.You must write down all stages in your working.1. Solve 6 y – 9 = 3 y + 7y = ................................(Total 3 marks) 2. The diagram shows two towns, A and B, on a map.(a) By measurement, find the bearing of B from A.....................................(2)C is another town.The bearing of C from A is 050.(b) Find the bearing of A from C.....................................(2)(Total 4 marks)3. A spinner can land on red or blue or yellow.The spinner is biased.The probability that it will land on red isThe probability that it will land on blue isImad spins the spinner once.(a) Work out the probability that it will land on yellow......................................(2)Janet spins the spinner 30 times.(b)Work out an estimate for the number of times the spinner will land on blue......................................(2)(Total 4 marks)4. Rosetta drives 85 kilometres in 1 hour 15 minutes.(a) Work out her average speed in kilometres per hour...................................... km/h(2)Rosetta drives a total distance of 136 kilometres.(b) Work out 85 as a percentage of 136................................. %(2)Sometimes Rosetta travels by train to save money.The cost of her journey by car is £12The cost of her journey by train is 15% less than the cost of her journey by car.(c)Work out the cost of Rosetta’s journ ey by train.£ ...................................(3)(Total 7 marks)5.Calculate the value of x.Give your answer correct to 3 significant figures.x = ................................(Total 3 marks)6. A = {2, 3, 4, 5}B = {4, 5, 6, 7}(a)(i) List the members of A B......................................(ii) How many members are in A B?.....................................(2)ℰ = {3, 4, 5, 6, 7}P = {3, 4, 5}Two other sets, Q and R, each contain exactly three members.P Q = {3, 4}P R = {3, 4}Set Q is not the same as set R.(b)(i) Write down the members of a possible set Q......................................(ii) Write down the members of a possible set R......................................(2)(Total 4 marks)7. Rectangular tiles have width (x + 1) cm and height (5x – 2) cm.Some of these tiles are used to form a large rectangle.The large rectangle is 7 tiles wide and 3 tiles high.The perimeter of the large rectangle is 68 cm.(a) Write down an equation in x...............................................................................................................(3)(b) Solve this equation to find the value of x.x = ................................(3)(Total 6 marks)8. Show that 121 141 = 1519. The depth of water in a reservoir increases from 14 m to m.Work out the percentage increase.................................. %(Total 3 marks)10. Quadrilaterals ABCD and PQRS are similar.AB corresponds to PQ.BC corresponds to QR.CD corresponds to RS.Find the value of(a) xx = ...............................(2)(b) yy = ...............................(1)(Total 3 marks)11. Simplify fully6x + 43x.....................................(Total 3 marks)12.(a)Find the equation of the line L......................................(3)(b) Find the three inequalites that define the unshaded region shown in the diagram below................................................................................................................(3)(Total 6 marks)13. (a) Solve x 2– 8x + 12 = 0.....................................(3)(b) Solve the simultaneous equationsy = 2x4x – 5y = 9x = ................................y = ................................(3)(Total 6 marks)14.The area of the triangle is cm2.The angle x° is acute.Find the value of x.Give your answer correct to 1 decimal place.x = ................................(Total 3 marks)15. The unfinished histogram shows information about the heights, h metres, ofsome trees.(a) Calculate an estimate for the number of trees with heights in theinterval < h ≤ 10.....................................(3)(b) There are 75 trees with heights in the interval 10 < h ≤ 13Use this information to complete the histogram.(2)(Total 5 marks)16. A bag contains 3 white discs and 1 black disc.John takes at random 2 discs from the bag without replacement.(a) Complete the probability tree diagram.First disc Second disc(3)(b)Find the probability that both discs are white......................................(2)All the discs are now replaced in the bag.Pradeep takes at random 3 discs from the bag without replacement.(c)Find the probability that the disc left in the bag is white......................................(3)(Total 8 marks)17. The diagram shows a sector of a circle, radius 45 cm, with angle 84°.Calculate the area of the sector.Give your answer correct to 3 significant figures.............................. cm2(Total 3 marks) 18.Calculate the length of AC.Give your answer correct to 3 significant figures................................ cm(Total 3 marks)19. A cone has slant height 4 cm and base radius r cm.The total surface area of the cone is 433π cm 2.Calculate the value of r .r = ................................(Total 4 marks)20. f(x) = (x – 1)2(a) Find f(8).....................................(1)The domain of f is all values of x where x ≥ 7(a)Find the range of f......................................(2)xg(x) =x1(c) Solve the equation g(x) =.....................................(2)(d) (i) Express the inverse function g –1 in the form g –1(x) = .......g –1(x) = ...................................(ii) Hence write down gg(x) in terms of x.gg(x) = ....................................(6)(Total 11 marks)21.In the diagram OA= a and OC= c.(a) Find CA in terms of a and c......................................(1)The point B is such that AB=1c.2(b) Give the mathematical name for the quadrilateral OABC......................................(1)The point P is such that OP= a + k c, where k ≥ 0(c) State the two conditions relating to a + k c that must be true for OAPCto be a rhombus.(2)(Total 4 marks)22. (a) Work out × 102+ × 104Give your answer in standard form......................................(2)a × 102 +b × 104 =c × 104(b) Express c in terms of a and b.c = ................................(2)(Total 4 marks)TOTAL FOR PAPER = 100 MARKSEND。

澳洲AMC(5-6)2010B试卷

─────────────────────────────────────────────────
───────────────────── UP 2 ──────────────────────
6. 有五个数的总和等于 2010。若将其中的一个数由 235 换成 532，请问现在这五个数的总和是什么？（A）1723 （B）2542 （C）2360 （D）1896 （E）2307
以填入有线段相连的圆圈内。来自YX请问 X 和 Y 两数之和可能是多少？
（A）3
（B）4
（C）6
（D）7
（E）8
───────────────────────────────────────────────── 18. 下图是一个花园的平面图。花园有一部份是草地、一部份是由方形砖所筑成
的步道。
步道
草地
已知草地的总面积为 108 m2。请问步道的总面积是多少 m2？
───────────────────────────────────────────────── 5. 在学校贩卖部前共有五个人排队，小莎排在小丁的后面，小克排在小莎和小
丁之间，小莎排在小贝的前面，而小贝排在小吉的前面。请问谁排在这个队
伍中的第四名？
（A）小莎（B）小丁（C）小克（D）小贝（E）小吉
（A）＄400 （B）＄888 （C）＄450 （D）＄550 （E）＄600
───────────────────────────────────────────────── 10. 从点 A 开始，沿着图形绕一圈最后再回到 A
点。请问共走了多远？
（A）52 m （D）50 m
（B）48 m （E）56 m
仍为 12 cm 但宽为原来 5 倍的大矩形。这个大矩形的周长是原来矩形周长的

VCE考试数学2010试题1

2 4p +1
8
3 marks
9
Question 9 Part of the graph of f : R+ → R, f (x) = x loge(x) is shown below.
y
2010 MATHMETH(CAS) EXAM 1
x
O
1
3
a. Find the derivative of x2 loge(x).
3 marks
1 mark 1 mark
5
Question 4 a. Write down the amplitude and period of the function
f
:
R
→
R,
f
(x)
=
4
sin

3

.
2010 MATHMETH(CAS) EXAM 1
b. Solve the equation 3 sin (x) = cos (x) for x [–π, π].
11
Structure of book
Number of questions to be answered
11
Number of marks
40
• Students are permitted to bring into the examination room: pens, pencils, highlighters, erasers, sharpeners, rulers.
1a b h
2 2π rh
volume of a cylinder: volume of a cone:
π r2h 1π r2h 3

2010IGCSE 试卷62--答案

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the May/June 2010 question paperfor the guidance of teachers0620 CHEMISTRY0620/62 Paper 62 (Alternative to Practical), maximum raw mark 60 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began, which would have considered the acceptability of alternative answers.Mark schemes must be read in conjunction with the question papers and the report on the examination.•CIE will not enter into discussions or correspondence in connection with these mark schemes.CIE is publ ishing the mark schemes for the May/June 2010 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.1(a) Bunsen (burner) (1) tripod (1) condenser (1) [3](i) F (1) allow description(b)G (1) allow description [2] (ii)2(a) pestle and/or mortar (1) accept diagram not bowl/crusher [1] (b)pour off/out liquid owtte (1) not separate/filter [1] chromatography/chromatogram (1)(c)apply solution to paper (1)use of (named) solvent (1) not waterconclusion/results/spots at different levels (1)all marks can be scored from a labelled diagramdipping paper in green solution = max 2 [4]3 (a) volumes completed correctly0, 20, 26, 41, 45, 46 –1 for each incorrect [3] points plotted correctly including origin (3) –1 for each incorrect(b)smooth curve (1) [4] point at 2 minutes (1)(c)off curve owtte (1) [2] steeper curve (1) levels out at same volume (1) [2] (d)4 (a) Table of results for Experiment 1temperature boxes completed correctly (2), –1 for each incorrect [2]23 25 27 26 25 24 23Table of results for Experiment 2(b)temperature boxes completed correctly (2), –1 for each incorrect [2]23 33 35 33 31 29 27all points correctly plotted (3), –1 for any incorrect(c)smooth line graphs (2) or two intersecting straight lineslabels (1) [6]value from graph ±1 small square (1) shown clearly (1) [2] (d)(i) experiment 2 (1) [1] (e)acid D more concentrated (1)(ii)stronger (1)more collisions (1) max [2](f) to clean it/remove acid C owtte (1) [1]room temperature or initial temperature from table (1)reaction finished owtte (1) [2]5Tests on solid E(i) white (1) precipitate (1)(c)no change with excess/insoluble (1) [3]no reaction/thin/slight precipitate (1) [1] (ii)contains water/hydrated (1) [1](d)(e)not a sulfate (1) accept not a carbonate [1](f) ammonia (1) not ammonium [1]nitrate (1)(g)hydrated salt (1)not a sulfate (1)not a carbonate (1) max [2] [2]6(a) electrolysis (1) [1]platinum/graphite/carbon (1) [1] (b)(blue) litmus/universal indicator paper/pH paper (1)(c)bleaches/turns white (1) [2]hydrogen (1) [1] (d)7add (named) acid/water/salty water to piece of copper/steel (1)heat (1)for specified/same time (1)observe reaction/effect (1)repeat with other metal (1)compare metals (1) [6] no reagents = 0 marksor heat metal (1)repeat with other metal (1)method for measuring conductivity (1) max [3] [3][Total: 60]。

2010IGCSE 试卷12

This document consists of 15 printed pages and 1 blank page.IB10 06_0620_12/RP© UCLES 2010[Turn over*8778752636*UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary EducationCHEMISTRY 0620/12Paper 1 Multiple Choice May/June 201045 MinutesAdditional Materials: Multiple Choice Answer Sheet Soft clean eraserSoft pencil (type B or HB is recommended)READ THESE INSTRUCTIONS FIRSTWrite in soft pencil.Do not use staples, paper clips, highlighters, glue or correction fluid.Write your name, Centre number and candidate number on the Answer Sheet in the spaces provided unless this has been done for you.There are forty questions on this paper. Answer all questions. For each question there are four possibl e answers A , B , C and D .Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet.Read the instructions on the Answer Sheet very carefully.Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. A copy of the Periodic Table is printed on page 16. You may use a calculator.© UCLES 2010 0620/12/M/J/101 The diagram shows a cup of tea.Which row describes the water particles in the air above the cup compared with the water particles in the cup?moving fastercloser togetherA B C D2 Which row shows the change that takes place when element X gains the new particle shown?particle gained changeA electron an isotope of element X is formedB electron the element one place to the right of X in the Periodic Table is formedC proton an isotope of element X is formedDprotonthe element one place to the right of X in the Periodic Table is formed3 The symbols of two atoms may be written as shown.X 5223Y5224Which statement about these atoms is correct?A They are different elements because they have different numbers of neutrons.B They are different elements because they have different numbers of protons.C They are isotopes of the same element because they have the same nucleon number.D They are isotopes of the same element because they have the same proton number.4The diagram shows an atom.electronnucleus containingnine particles What is the proton number and neutron number of the atom?proton number neutron numberA 4 5B 4 9C 5 4D 5 95 A frui t dri nk coloured orange contai ns a di ssolved mi xture of red and yellow colouri ng agents.One of these colouring agents is suspected of being illegal.Which method could be used to show the presence of this illegal colouring agent?A chromatographyB distillationC evaporationD filtration6 A student carries out an experiment to find how fast 3cm pieces of magnesium ribbon dissolve in10cm3 samples of sulfuric acid at different temperatures.Which piece of apparatus does the student not need?A balanceB measuring cylinderC stop-clockD thermometer© UCLES 2010 0620/12/M/J/10 [Turn over© UCLES 2010 0620/12/M/J/10The electrolytes are listed below.cell 1 aqueous sodium chloride cell 2concentrated hydrochloric acid cell 3molten lead(II ) bromideIn which cells is a gas formed at both electrodes? A 1 and 2B 1 and 3C2 onlyD 3 only8 The diagram shows apparatus for plating a spoon with silver.Which statement is not correct?A Silver would stick to the spoon because it is a very reactive metal.B The electrolyte would be a silver salt dissolved in water.C The metal electrode would be made from silver.D The spoon would be connected to the negative of the power supply.9 Aqueous copper(II ) sulfate solution is electrolysed using inert electrodes.Copper(II ) i ons (Cu 2+), hydrogen i ons (H +), hydroxi de i ons (OH –) and sulfate i ons (−24SO ) are present in the solution.To which electrodes are the ions attracted during this electrolysis?attracted to anodeattracted to cathodeA Cu 2+ and H + OH – and −24SOB Cu 2+ and −24SOH + and OH –C H + and OH – Cu 2+ and −24SOD OH – and −24SO Cu 2+ and H +© UCLES 2010 0620/12/M/J/10[Turn over10 In which compounds are pairs of electrons shared between atoms?1 sodium chloride2 me t hane3 lead bromideA 1 onlyB 2 onlyC 1 and 3D 1, 2 and 311 Element X has six electrons in its outer shell.= electronkeyeHow could the element react?A by gaining two electrons to form a positive ionB by losing six electrons to form a negative ionC by sharing two electrons with two electrons from another element to form two covalent bondsD by sharing two electrons with two electrons from another element to form four covalent bonds12 Hydrogen and chlorine react as shown.1 molecule of hydrogen + 1 molecule of chlorine →2 moleculesof hydrogen chlorideWhat is the equation for this reaction?A 2H + 2C l → 2HC lB 2H + 2C l → H 2C l 2 C H 2 + C l 2 → 2HC lD H 2 + C l 2 → H 2C l 213 Which name is given to mixtures of metals?A alloysB compoundsC oresD salts14Iron is extracted from iron oxide using carbon monoxide as shown in the equation.iron oxide + carbon monoxide → iron + carbon dioxide What does the equation show?A Carbon monoxide is oxidised to carbon dioxide.B Carbon monoxide is reduced to carbon dioxide.C Iron is oxidised to iron oxide.D Iron oxide is oxidised to iron.15 A student investigates the rate of reaction between marble chips and hydrochloric acid.The loss in mass of the reaction flask is measured.The graph shows the results of two experiments, P and Q.mass ofreaction flaskWhich change explains the difference between P and Q?A A catalyst is added in P.B A higher temperature is used in P.C Bigger marble chips are used in Q.D Hydrochloric acid is more concentrated in Q.© UCLES 2010 0620/12/M/J/10© UCLES 2010 0620/12/M/J/10[Turn over16clouds seawater vapourWha t is the energy cha nge a nd wha t na me is given to the type of cha nge when wa ter evaporates?energy change type of change A energy given out endothermic B energy given out exothermic C energy taken in endothermic Denergy taken inexothermic17 Which process is not exothermic?A burning a fossil fuelB obtaining lime from limestoneC radioactive decay of 235UD reacting hydrogen with oxygen18 When pink cobalt(II ) sulfate crystals are heated, they form steam and a blue solid.When water is added to the blue solid, it turns pink and becomes hot.Which terms describe the pink cobalt(II ) sulfate crystals and the reactions?pink cob lt sulf te re ctionsA aqueous irreversible B aqueous reversible C hydr ted irreversible D hydr ted reversible19 An element melts at 1455°C, has a density of 8.90g/cm3 and forms a green chloride.Where in the Periodic Table is this element found?A BCD20An excess of copper(II) oxide is a dded to dilute sulfuric a cid to ma ke crysta ls of hydra ted copper(II) sulfate.The processes listed may be used to obtain crystals of hydrated copper(II) sulfate.1 concentrate the resulting solution2 filter3 heat the crystals4 wash the crystalsWhich processes are needed and in which order?A1, 2, 3 and 4B1, 2, 4 and 3C2, 1, 2 and 3D2, 1, 2 and 421 Which is not a property of Group I metals?A They are soft and can be cut with a knife.B They corrode rapidly when exposed to oxygen in the air.C They produce an acidic solution when they react with water.D They react rapidly with water producing hydrogen gas.© UCLES 2010 0620/12/M/J/1022Aqueous sodium hydroxide is added to a solid, X, and the mixture is heated.A green precipitate is formed and an alkaline gas is given off.Which ions are present in X?NH and Fe2+A +4NH and Fe3+B +4C OH– and Fe2+D OH– and Fe3+23An aqueous solution of the organic compound methylamine has a pH greater than 7.Which statement about methylamine is correct?A It neutralises an aqueous solution of sodium hydroxide.B It reacts with copper(II) carbonate to give carbon dioxide.C It reacts with hydrochloric acid to form a salt.D It turns blue litmus red.24The positions in the Periodic Table of four elements are shown.Which element is most likely to form an acidic oxide?ABCD© UCLES 2010 0620/12/M/J/10 [Turn overgas XWhat is gas X?A carbon dioxideB chlorineC hydrogenD oxygen26 A student added dilute hydrochloric acid to four metals and recorded the results.Not all of the results are correct.resultsmetal gas given off1 copper yes2 iron yes3 magnesium no4 zinc yesWhich two results are correct?A 1 and 3B 1 and 4C 2 and 3D 2 and 4© UCLES 2010 0620/12/M/J/101127 An element does not conduct electricity and exists as diatomic molecules. In which area of the Periodic Table is the element to be found?BAC D28 Copper, iron and zinc are all used as pure metals.Which of these three metals are also used in alloys?c o pper ir o n zincAB C D29 Solutions of a halogen and a sodium halide are mixed.Which mixture darkens in colour because a reaction occurs?A bromine and sodium chlorideB bromine and sodium fluorideC chlorine and sodium fluorideD chlorine and sodium iodide30 Some properties of four elements are shown in the table.Which element is a metal?melting point / °Celectrical conductivitywhen liquid electrical conductivitywhen solidA –7 l o w l o wB 801 high l ow C 1535 high high D 3550 l o w l ow31The diagram shows three types of item.cutlery cooking pan instruments used in hospitalsWhich method of rust prevention can be used for all three types of item?A coating with plasticB covering with greaseC galvanisingD using stainless steel32Aluminium is an important metal with many uses.Some of its properties are listed.1It is a good conductor of heat.2It is a reactive metal.3It has a low density.4It has an oxide layer that prevents corrosion.Which set of properties help to explain the use of aluminium for cooking and storing food?A 1, 2 and 3B 1, 2 and 4C 1, 3 and 4D 2, 3 and 433To grow roses, a fertiliser containing nitrogen, phosphorus and potassium is needed.For the best flowers, the fertiliser should contain a high proportion of potassium.Which fertiliser is best for roses?proportion by massfertiliserN P KA 9 0 25B 13 13 20C 29 5 0D 29 15 534 Which statements about water are correct?1 Water is treated with chlorine to kill bacteria.2 Household water may contain salts in solution.3 Water is used in industry for cooling.4Water for household use is filtered to remove soluble impurities.A 1, 2 and 3B 1 and 4C 2, 3 and 4D 1, 2, 3 and 435 Which statement about methane is not correct?A It is a liquid produced by distilling petroleum.B It is produced as vegetation decomposes.C It is produced by animals such as cows.D It is used as a fuel.36 Which compound in polluted air can damage stonework and kill trees?A carbon dioxideB carbon monoxideC lead compo undsD s u lf ur dioxide37 Diesel, petrol and bitumen are allA fuels.B hydrocarbons.C lubricants.D waxes.38 A macromolecule is a very large molecule.Macromolecules can be made by joining smaller molecules together. This is called polymerisation.Which row in the table describes the formation of a polymer?monomer polymerA ethane poly(ethane)B ethene poly(ethene)C ethane poly(ethene) Dethene poly(ethane)39 Which structure shows a compound that belongs to a different homologous series to propane?A B C DCC HH H H HC H HHHC H HHC C C H HH HH HHC H H HCC C H H H H H HHHH40 Which structure is incorrect ?HH H HHHC C C A HH H HHHC C BHH O HOC CHD HH H HOC C HHBLANK PAGE16Per mission to r epr oduce items wher e thir d-par ty owned mater ial pr otected by copyr ight is included has been sought and clear ed wher e possible. Ever y reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. G r o u p140C eC e r i u m 58141P rP r a s e o d y m i u m 59144N d N e o d y m i u m 60P mP r o m e t h i u m61150S mS a m a r i u m62152E uE u r o p i u m63157G dG a d o l i n i u m64159T bT e r b i u m65162D yD y s p r o s i u m66165H oH o l m i u m67167E rE r b i u m68169T mT h u l i u m69173Y bY t t e r b i u m70175L uL u t e t i u m71232T hT h o r i u m 90P aP r o t a c t i n i u m 91238UU r a n i u m92N pN e p t u n i u m93P uP l u t o n i u m94A mA m e r i c i u m95C mC u r i u m96B kB e r k e l i u m97C fC a l i f o r n i u m98E sE i n s t e i n i u m99F mF e r m i u m100M dM e n d e l e v i u m101N oN o b e l i u m102L rL a w r e n c i u m1031HH y d r o g e n17L iL i t h i u m 323N aS o d i u m 1124M gM a g n e s i u m1240C aC a l c i u m 2045S c S c a n d i u m 2148T i T i t a n i u m2251V V a n a d i u m 2352C r C h r o m i u m 2455M n M a n g a n e s e 2556F e I r o n 2659C o C o b a l t 2759N i N i c k e l 2864C u C o p p e r 2965Z n Z i n c3070G aG a l l i u m3127A l A l u m i n i u m1311B B o r o n 512C C a r b o n614NN i t r o g e n716OO x y g e n819FF l u o r i n e928S iS i l i c o n1431PP h o s p h o r u s1532SS u l f u r1635.5C lC h l o r i n e1740A rA r g o n1820N eN e o n104H eH e l i u m273G eG e r m a n i u m3275A sA r s e n i c3379S eS e l e n i u m3480B rB r o m i n e3584K rK r y p t o n3639KP o t a s s i u m 1988S rS t r o n t i u m 3889Y Y t t r i u m 3991Z r Z i r c o n i u m4093N b N i o b i u m 4196M o M o l y b d e n u m 42T c T e c h n e t i u m 43101R u R u t h e n i u m 44103R h R h o d i u m 45106P d P a l l a d i u m 46108A g S i l v e r47112C dC a d m i u m48115I nI n d i u m49119S nT i n50122S bA n t i m o n y51128T eT e l l u r i u m52127II o d i n e53131X eX e n o n54137B aB a r i u m 56139L a L a n t h a n u m 57*178H fH a f n i u m72181T a T a n t a l u m 73184W T u n g s t e n 74186R e R h e n i u m 75190O s O s m i u m 76192I rI r i d i u m 77195P t P l a t i n u m78197A uG o l d79201H gM e r c u r y80204T lT h a l l i u m81207P bL e a d82209B iB i s m u t h83P oP o l o n i u m84A tA s t a t i n e85R nR a d o n86F rF r a n c i u m 87227A cA c t i n i u m899B eB e r y l l i u m4II I I I II V V V I V I I 085R bR u b i d i u m 37133C sC a e s i u m 55226R a R a d i u m 88T h e v o l u m e o f o n e m o l e o f a n y g a s i s 24d m 3a t r o o m t e m p e r a t u r e a n d p r e s s u r e (r .t .p .).a Xb a = r e l a t i v e a t o m ic m a s sX = a t o m i c s y m b o lb = p r o t o n (a t o m ic ) n u m b e rK e y *58-71 L a n t h a n o i d s e r i e s 90-103 A c t i n o i d s e r i e s D A T A S H E E T T h e P e r i o d i c T a b l e o f t h e E l e m e n t s。

Igcse-数学-历年真题-2

4400/4HEdexcel IGCSEMathematicsPaper 4HHigher TierFriday 11 June 2010 – AfternoonTime: 2 hoursMaterials 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. Write your answers 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 22 questions in this question paper. The total mark for this paperis 100.You may use a calculator.Advice to CandidatesWrite your answers neatly and in good English.This publication may be reproduced only in accordance with Edexcel Limited copyright policy.©2010 Edexcel Limited.Printer’s Log. No. N36905AIGCSE MATHEMATICS 4400 FORMULA SHEET – HIGHER TIERAnswer ALL TWENTY TWO questions.Write your answers in the spaces provided.You must write down all stages in your working.1. Solve 6 y – 9 = 3 y + 7y = ................................(Total 3 marks) 2. The diagram shows two towns, A and B, on a map.(a) By measurement, find the bearing of B from A.....................................︒(2)C is another town.The bearing of C from A is 050︒.(b) Find the bearing of A from C.....................................︒(2) (Total 4 marks)3. A spinner can land on red or blue or yellow.The spinner is biased.The probability that it will land on red is 0.5The probability that it will land on blue is 0.2Imad spins the spinner once.(a) Work out the probability that it will land on yellow......................................(2)Janet spins the spinner 30 times.(b)Work out an estimate for the number of times the spinner will land on blue......................................(2)(Total 4 marks)4. Rosetta drives 85 kilometres in 1 hour 15 minutes.(a) Work out her average speed in kilometres per hour...................................... km/h(2)Rosetta drives a total distance of 136 kilometres.(b) Work out 85 as a percentage of 136................................. %(2)Sometimes Rosetta travels by train to save money.The cost of her journey by car is £12The cost of her journey by train is 15% less than the cost of her journey by car.(c)Work out the cost of Rose tta’s journey by train.£ ...................................(3)(Total 7 marks)5.Calculate the value of x.Give your answer correct to 3 significant figures.x = ................................(Total 3 marks)6. A = {2, 3, 4, 5}B = {4, 5, 6, 7}(a)(i) List the members of A ⋂B......................................(ii) How many members are in A ⋃B?.....................................(2)ℰ = {3, 4, 5, 6, 7}P = {3, 4, 5}Two other sets, Q and R, each contain exactly three members.P ⋂Q = {3, 4}P ⋂R = {3, 4}Set Q is not the same as set R.(b)(i) Write down the members of a possible set Q......................................(ii) Write down the members of a possible set R......................................(2)(Total 4 marks)7. Rectangular tiles have width (x + 1) cm and height (5x – 2) cm.Some of these tiles are used to form a large rectangle.The large rectangle is 7 tiles wide and 3 tiles high.The perimeter of the large rectangle is 68 cm.(a) Write down an equation in x...............................................................................................................(3)(b) Solve this equation to find the value of x.x = ................................(3)(Total 6 marks)8. Show that 121 141 = 1519. The depth of water in a reservoir increases from 14 m to 15.75 m.Work out the percentage increase.................................. %(Total 3 marks) 10. Quadrilaterals ABCD and PQRS are similar.AB corresponds to PQ.BC corresponds to QR.CD corresponds to RS.Find the value of(a) xx = ...............................(2)(b) yy = ...............................(1)(Total 3 marks)11. Simplify fully6x + 43x.....................................(Total 3 marks)12.(a)Find the equation of the line L......................................(3)(b) Find the three inequalites that define the unshaded region shown in the diagram below................................................................................................................(3)(Total 6 marks)13. (a) Solve x 2– 8x + 12 = 0.....................................(3)(b) Solve the simultaneous equationsy = 2x4x – 5y = 9x = ................................y = ................................(3)(Total 6 marks)14.The area of the triangle is 6.75 cm2.The angle x° is acute.Find the value of x.Give your answer correct to 1 decimal place.x = ................................(Total 3 marks)15. The unfinished histogram shows information about the heights, h metres, ofsome trees.(a) Calculate an estimate for the number of trees with heights in theinterval 4.5 < h ≤ 10.....................................(3)(b) There are 75 trees with heights in the interval 10 < h ≤ 13Use this information to complete the histogram.(2)(Total 5 marks)16. A bag contains 3 white discs and 1 black disc.John takes at random 2 discs from the bag without replacement.(a) Complete the probability tree diagram.First disc Second disc(3)(b)Find the probability that both discs are white......................................(2)All the discs are now replaced in the bag.Pradeep takes at random 3 discs from the bag without replacement.(c)Find the probability that the disc left in the bag is white......................................(3)(Total 8 marks)17. The diagram s hows a sector of a circle, radius 45 cm, with angle 84°.Calculate the area of the sector.Give your answer correct to 3 significant figures.............................. cm2(Total 3 marks) 18.Calculate the length of AC.Give your answer correct to 3 significant figures................................ cm(Total 3 marks)19. A cone has slant height 4 cm and base radius r cm.The total surface area of the cone is 433π cm 2.Calculate the value of r .r = ................................(Total 4 marks)20. f(x) = (x – 1)2(a) Find f(8).....................................(1)The domain of f is all values of x where x ≥ 7(a)Find the range of f......................................(2)xg(x) =x1(c) Solve the equation g(x) = 1.2.....................................(2)(d) (i) Express the inverse function g –1 in the form g –1(x) = .......g –1(x) = ...................................(ii) Hence write down gg(x) in terms of x.gg(x) = ....................................(6)(Total 11 marks)21.In the diagram = a and = c.(a) Find CA in terms of a and c......................................(1)The point B is such that AB=1c.2(b) Give the mathematical name for the quadrilateral OABC......................................(1)The point P is such that = a + k c, where k ≥ 0(c) State the two conditions relating to a + k c that must be true for OAPCto be a rhombus.(2)(Total 4 marks)22. (a) Work out 5.2 × 102+ 2.3 × 104Give your answer in standard form......................................(2)a × 102 +b × 104 =c × 104(b) Express c in terms of a and b.c = ................................(2)(Total 4 marks)TOTAL FOR PAPER = 100 MARKS END。

九天国际教育GCSE真题June 2010 (v3) QP - Paper 1 CIE Chemistry IGCSE

This document consists of 15 printed pages and 1 blank page.IB10 06_0620_13/RP© UCLES 2010[Turn over*1150134897*UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary EducationCHEMISTRY 0620/13Paper 1 Multiple Choice May/June 201045 MinutesAdditional Materials: Multiple Choice Answer Sheet Soft clean eraserSoft pencil (type B or HB is recommended)READ THESE INSTRUCTIONS FIRSTWrite in soft pencil.Do not use staples, paper clips, highlighters, glue or correction fluid.Write your name, Centre number and candidate number on the Answer Sheet in the spaces provided unless this has been done for you.There are forty questions on this paper. Answer all questions. For each question there are four possibl e answers A , B , C and D .Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet.Read the instructions on the Answer Sheet very carefully.Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. A copy of the Periodic Table is printed on page 16. You may use a calculator.© UCLES 2010 0620/13/M/J/101 The diagram shows a cup of tea.Which row describes the water particles in the air above the cup compared with the water particles in the cup?moving fastercloser togetherA B C D2 Which row shows the change that takes place when element X gains the new particle shown?particle gained changeA electronan isotope of element X is formedB electron the element one place to the right of X in the Periodic Table is formedC proton an isotope of element X is formedDprotonthe element one place to the right of X in the Periodic Table is formed3 The symbols of two atoms may be written as shown.X 5223Y5224Which statement about these atoms is correct?A They are different elements because they have different numbers of neutrons.B They are different elements because they have different numbers of protons.C They are isotopes of the same element because they have the same nucleon number.D They are isotopes of the same element because they have the same proton number.© UCLES 2010 0620/13/M/J/10[Turn over4 The diagram shows an atom.electronnucleus containing nine particlesWhat is the proton number and neutron number of the atom?proton numberneutron numberA 4 5B 4 9C 5 4 D5 95 A frui t dri nk coloured orange contai ns a di ssolved mi xture of red and yellow colouri ng agents.One of these colouring agents is suspected of being illegal.Which method could be used to show the presence of this illegal colouring agent?A chromatographyB distillationC evaporationD filtration6 A student carries out an experiment to find how fast 3 cm pieces of magnesium ribbon dissolve in 10 cm 3 samples of sulfuric acid at different temperatures.Which piece of apparatus does the student not need? A balanceB measuring cylinderC stop-clockD thermometer© UCLES 2010 0620/13/M/J/10The electrolytes are listed below.cell 1 aqueous sodium chloride cell 2concentrated hydrochloric acid cell 3molten lead(II ) bromideIn which cells is a gas formed at both electrodes? A 1 and 2B 1 and 3C2 onlyD 3 only8 The diagram shows apparatus for plating a spoon with silver.Which statement is not correct?A Silver would stick to the spoon because it is a very reactive metal.B The electrolyte would be a silver salt dissolved in water.C The metal electrode would be made from silver.D The spoon would be connected to the negative of the power supply.9 Aqueous copper(II ) sulfate solution is electrolysed using inert electrodes.Copper(II ) i ons (Cu 2+), hydrogen i ons (H +), hydroxi de i ons (OH –) and sulfate i ons (−24SO ) are present in the solution.To which electrodes are the ions attracted during this electrolysis?attracted to anodeattracted to cathodeA Cu 2+ and H + OH – and −24SOB Cu 2+ and −24SOH + and OH –C H + and OH – Cu 2+ and −24SOD OH – and −24SO Cu 2+ and H +© UCLES 2010 0620/13/M/J/10[Turn over10 In which compounds are pairs of electrons shared between atoms?1 sodium chloride2 me t hane3 lead bromideA 1 onlyB 2 onlyC 1 and 3D 1, 2 and 311 Element X has six electrons in its outer shell.= electronkeyeHow could the element react?A by gaining two electrons to form a positive ionB by losing six electrons to form a negative ionC by sharing two electrons with two electrons from another element to form two covalent bondsD by sharing two electrons with two electrons from another element to form four covalent bonds12 Hydrogen and chlorine react as shown.1 molecule of hydrogen + 1 molecule of chlorine →2 moleculesof hydrogen chlorideWhat is the equation for this reaction?A 2H + 2C l → 2HC lB 2H + 2C l → H 2C l 2 C H 2 + C l 2 → 2HC lD H 2 + C l 2 → H 2C l 213Which name is given to mixtures of metals?A alloysB compoundsC oresD salts14Iron is extracted from iron oxide using carbon monoxide as shown in the equation.iron oxide + carbon monoxide → iron + carbon dioxide What does the equation show?A Carbon monoxide is oxidised to carbon dioxide.B Carbon monoxide is reduced to carbon dioxide.C Iron is oxidised to iron oxide.D Iron oxide is oxidised to iron.15 A student investigates the rate of reaction between marble chips and hydrochloric acid.The loss in mass of the reaction flask is measured.The graph shows the results of two experiments, P and Q.mass ofreaction flaskWhich change explains the difference between P and Q?A A catalyst is added in P.B A higher temperature is used in P.C Bigger marble chips are used in Q.D Hydrochloric acid is more concentrated in Q.© UCLES 2010 0620/13/M/J/10© UCLES 2010 0620/13/M/J/10[Turn over16cloudsseawater vapourWha t is the energy cha nge a nd wha t na me is given to the type of cha nge when wa ter evaporates?energy change type of change A energy given out endothermic B energy given out exothermic C energy taken in endothermic Denergy taken inexothermic17 Which process is not exothermic?A burning a fossil fuelB obtaining lime from limestoneC radioactive decay of 235UD reacting hydrogen with oxygen18 When pink cobalt(II ) sulfate crystals are heated, they form steam and a blue solid.When water is added to the blue solid, it turns pink and becomes hot.Which terms describe the pink cobalt(II ) sulfate crystals and the reactions?pink cob alt sulf a tere a ctionsA a queous irreversibleB a queous reversibleC hydr a ted irreversibleD hydr a ted reversible19 An element melts at 1455°C, has a density of 8.90g/cm3 and forms a green chloride.Where in the Periodic Table is this element found?A BCD20An excess of copper(II) oxide is a dded to dilute sulfuric a cid to ma ke crysta ls of hydra ted copper(II) sulfate.The processes listed may be used to obtain crystals of hydrated copper(II) sulfate.1 concentrate the resulting solution2 filter3 heat the crystals4 wash the crystalsWhich processes are needed and in which order?A1, 2, 3 and 4B1, 2, 4 and 3C2, 1, 2 and 3D2, 1, 2 and 421 Which is not a property of Group I metals?A They are soft and can be cut with a knife.B They corrode rapidly when exposed to oxygen in the air.C They produce an acidic solution when they react with water.D They react rapidly with water producing hydrogen gas.© UCLES 2010 0620/13/M/J/1022Aqueous sodium hydroxide is added to a solid, X, and the mixture is heated.A green precipitate is formed and an alkaline gas is given off.Which ions are present in X?NH and Fe2+A +4NH and Fe3+B +4C OH– and Fe2+D OH– and Fe3+23An aqueous solution of the organic compound methylamine has a pH greater than 7.Which statement about methylamine is correct?A It neutralises an aqueous solution of sodium hydroxide.B It reacts with copper(II) carbonate to give carbon dioxide.C It reacts with hydrochloric acid to form a salt.D It turns blue litmus red.24The positions in the Periodic Table of four elements are shown.Which element is most likely to form an acidic oxide?ABCD© UCLES 2010 0620/13/M/J/10 [Turn overgas XWhat is gas X?A carbon dioxideB chlorineC hydrogenD oxygen26 A student added dilute hydrochloric acid to four metals and recorded the results.Not all of the results are correct.resultsmetal gas given off1 copper yes2 iron yes3 magnesium no4 zinc yesWhich two results are correct?A 1 and 3B 1 and 4C 2 and 3D 2 and 4© UCLES 2010 0620/13/M/J/1027An element does not conduct electricity and exists as diatomic molecules.In which area of the Periodic Table is the element to be found?BA C D28Copper, iron and zinc are all used as pure metals.Which of these three metals are also used in alloys?co pper iro n zincABCD29Solutions of a halogen and a sodium halide are mixed.Which mixture darkens in colour because a reaction occurs?A bromine and sodium chlorideB bromine and sodium fluorideC chlorine and sodium fluorideD chlorine and sodium iodide30Some properties of four elements are shown in the table.Which element is a metal?melting point/°C electrical conductivitywhen liquidelectrical conductivitywhen solidA –7 lo w lo w B 801 high lo wC 1535 high highD 3550 lo w lo w31The diagram shows three types of item.cutlery cooking pan instruments used in hospitalsWhich method of rust prevention can be used for all three types of item?A coating with plasticB covering with greaseC galvanisingD using stainless steel32Aluminium is an important metal with many uses.Some of its properties are listed.1It is a good conductor of heat.2It is a reactive metal.3It has a low density.4It has an oxide layer that prevents corrosion.Which set of properties help to explain the use of aluminium for cooking and storing food?A 1, 2 and 3B 1, 2 and 4C 1, 3 and 4D 2, 3 and 433To grow roses, a fertiliser containing nitrogen, phosphorus and potassium is needed.For the best flowers, the fertiliser should contain a high proportion of potassium.Which fertiliser is best for roses?proportion by massfertiliserN P KA 9 0 25B 13 13 20C 29 5 0D 29 15 534Which statements about water are correct?1 Water is treated with chlorine to kill bacteria.2 Household water may contain salts in solution.3 Water is used in industry for cooling.4 Water for household use is filtered to remove soluble impurities.A1, 2 and 3 B 1 and 4 C2, 3 and 4 D1, 2, 3 and 435Which statement about methane is not correct?A It is a liquid produced by distilling petroleum.B It is produced as vegetation decomposes.C It is produced by animals such as cows.D It is used as a fuel.36 Which compound in polluted air can damage stonework and kill trees?A carbon dioxideB carbon monoxideC lead compo u ndsD s u lf u r dioxide37Diesel, petrol and bitumen are allA fuels.B hydrocarbons.C lubricants.D waxes.38 A macromolecule is a very large molecule.Macromolecules can be made by joining smaller molecules together. This is called polymerisation.Which row in the table describes the formation of a polymer?monomer polymerA ethane poly(ethane)B ethene poly(ethene)C ethane poly(ethene) Dethene poly(ethane)39 Which structure shows a compound that belongs to a different homologous series to propane?A B C DCC HH H H HC H HHHC H HHC C C H HH HH HHC H H HCC C H H H H H HHHH40Which structure is incorrect ?HH H HHHC C C A HH H HHHC C BHH O HOC CHD HH H HOC C HHBLANK PAGE16Per mission to r epr oduce items wher e thir d-par ty owned mater ial pr otected by copyr ight is included has been sought and clear ed wher e possible. Ever y reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. G r o u p140C eC e r i u m 58141P rP r a s e o d y m i u m 59144N d N e o d ym i u m 60P mP r o m e t h i u m61150S mS a m a r i u m62152E uE u r o p i u m63157G dG a d o l i n i u m64159T bT e r b i u m65162D yD y s p r o s i u m66165H oH o l m i u m67167E rE r b i u m68169T mT h u l i u m69173Y bY t t e r b i u m70175L uL u t e t i u m71232T hT h o r i u m 90P aP r o t a c t i n i u m 91238UU r a n i u m92N pN e p t u n i u m93P uP l u t o n i u m94A mA m e r i c i u m95C mC u r i u m96B kB e r k e l i u m97C fC a l i f o r n i u m98E sE i n s t e i n i u m99F mF e r m i u m100M dM e n d e l e v i u m101N oN o b e l i u m102L rL a w r e n c i u m1031HH y d r o g e n17L iL i t h i u m 323N aS o d i u m 1124M gM a g n e s i u m1240C aC a l c i u m 2045S c S c a n d i u m 2148T i T i t a n i u m2251V V a n a d i u m 2352C r C h r o m i u m 2455M n M a n g a n e s e 2556F e I r o n 2659C o C o b a l t 2759N i N i c k e l 2864C u C o p p e r 2965Z n Z i n c3070G aG a l l i u m3127A l A l u m i n i u m1311B B o r o n 512C C a r b o n614NN i t r o g e n716OO x y g e n819FF l u o r i n e928S iS i l i c o n1431PP h o s p h o r u s1532SS u l f u r1635.5C lC h l o r i n e1740A rA r g o n1820N eN e o n104H eH e l i u m273G eG e r m a n i u m3275A sA r s e n i c3379S eS e l e n i u m3480B rB r o m i n e3584K rK r y p t o n3639KP o t a s s i u m 1988S rS t r o n t i u m 3889Y Y t t r i u m 3991Z r Z i r c o n i u m4093N b N i o b i u m 4196M o M o l y b d e n u m 42T c T e c h n e t i u m 43101R u R u t h e n i u m 44103R h R h o d i u m 45106P d P a l l a d i u m 46108A g S i l v e r47112C dC a d m i u m48115I nI n d i u m49119S nT i n50122S bA n t i m o n y51128T eT e l l u r i u m52127II o d i n e53131X eX e n o n54137B aB a r i u m 56139L a L a n t h a n u m 57*178H fH a f n i u m72181T a T a n t a l u m 73184W T u n g s t e n 74186R e R h e n i u m 75190O s O s m i u m 76192I rI r i d i u m 77195P t P l a t i n u m78197A uG o l d79201H gM e r c u r y80204T lT h a l l i u m81207P bL e a d82209B iB i s m u t h83P oP o l o n i u m84A tA s t a t i n e85R nR a d o n86F rF r a n c i u m 87227A cA c t i n i u m899B eB e r y l l i u m4II I I I II V V V I V I I 085R bR u b i d i u m 37133C sC a e s i u m 55226R a R a d i u m 88T h e v o l u m e o f o n e m o l e o f a n y g a s i s 24d m 3a t r o o m t e m p e r a t u r e a n d p r e s s u r e (r .t .p .).a Xb a = r e l a t i v e a t o m ic m a s sX = a t o m i c s y m b o lb = p r o t o n (a t o m ic ) n u m b e rK e y *58-71 L a n t h a n o i d s e r i e s 90-103 A c t i n o i d s e r i e s D A T A S H E E T T h e P e r i o d i c T a b l e o f t h e E l e m e n t sPMT。

igcse additional math题库

IGCSE Additional Math题库随着国际教育的普及，越来越多的学生选择参加IGCSE考试。

IGCSE Additional Math作为其中的一门科目，备受学生们的关注。

为了帮助学生更好地备考，我们整理了一份IGCSE Additional Math题库，供学生参考。

一、代数1. 求解方程组：2x + 3y = 7，3x - 2y = 82. 求解二次方程：x² - 5x + 6 = 03. 计算多项式的值：3x² + 5x - 2，当x = 2时4. 求解不等式：2x + 5 > 135. 解决复合函数：f(g(x))二、几何1. 求解三角形的面积，已知两边长和夹角2. 计算圆的面积和周长3. 求解平行线和垂直线的性质4. 计算多边形内角和5. 解决空间几何问题：体积、表面积等三、微积分1. 求函数的导数和不定积分2. 计算定积分：∫(3x² + 2)dx3. 求解微分方程：dy/dx = 3x² - 44. 解决最值和极值问题5. 计算定积分和面积四、统计1. 计算平均数、中位数和众数2. 分析频数分布表和直方图3. 计算标准差和方差4. 解决概率问题：排列、组合、事件概率等5. 进行抽样调查和统计推断五、概率1. 计算事件的概率与概率分布2. 解决条件概率和独立事件问题3. 根据概率分布表求期望值和方差4. 进行排列和组合问题5. 计算生日问题和齐次概率问题通过这份题库的学习和练习，相信学生们能更全面地掌握IGCSE Additional Math的知识点，为考试取得好成绩打下坚实的基础。

希望学生们能够认真对待每一道题目，通过不断的练习和思考，提高自己的解题能力和应试技巧。

祝愿所有参加IGCSE Additional Math考试的学生都能取得优异的成绩！由于篇幅有限，上述的IGCSE Additional Math题库并不能涵盖所有可能出现的题目类型。

【独家带详解答案】IGCSE2019年数学真题卷1(060612)_20200830123606

Candidates answer on the Question Paper. Additional Materials: Electronic calculator
0606/12 May/June 2019
2 hours
READ THESE INSTRUCTIONS FIRST
Write your centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.
At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 80.
*0773973091*
Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education
ADDITIONAL MATHEMATICS Paper 1

剑桥IGCSE课程数学科目试卷四

UCLES 2007
Answer(c)
0607/04/SP/10
minutes [3] [Turn over
4 2 f(x) = 5 .
1− x (a) Find f(–9).
For Examiner's
Use
(b) Solve f(x) = 2.
Answer(a)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. Do not use staples, paper clips, highlighters, glue or correction fluid. You may use a pencil for any diagrams or graphs.
For Examiner's
Use
Answer(a)
km/h [2]
(b) One day, the train departed at 08 50 but, due to delays, the average speed was reduced by 10%. Calculate (i) the new arrival time,
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
CAMBRIDGE INTERNATIONAL MATHEMATICS Paper 4 (Extended) SPECIMEN PAPER

九天国际教育GCSE真题June 2010 (v3) QP - Paper 5 CIE Chemistry IGCSE

READ THESE INSTRUCTIONS FIRSTWrite your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen.You may use a pencil for any diagrams, graphs or rough working.Do not use staples, paper clips, highlighters, glue or correction ﬂ uid.DO NOT WRITE IN ANY BARCODES.Answer all questions.Practical notes are provided on page 8.At the end of the examination, fasten all your work securely together.The number of marks is given in brackets [ ] at the end of each question or part question.CHEMISTRY0620/53Paper 5 Practical TestMay/June 20101 hour 15 minutesCandidates answer on the Question Paper.Additional Materials:As listed in the Con ﬁdential InstructionsUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certi ﬁ cate of Secondary EducationThis document consists of 8printed pages.[Turn overIB10 06_0620_53/FP © UCLES 2010*1148265513*For Examiner’s Use Total12For1Y ou are going to investigate the solubility of salt A in water at various temperatures.Examiner’sUse R ead all the instructions below carefully before starting the experiments.InstructionsExperiment 1Y ou are provided with a clean boiling tube containing 12g of A.F ill the burette provided with distilled water and add 10.0cm3 of water to the boiling tube.H eat the mixture of salt A and water carefully until all of the solid has dissolved.Y ou will have to boil the solution gently.R emove the boiling tube from the heat and allow the solution to cool.Stir the solution gently with the thermometer.N ote the temperature at which crystals ﬁ rst appear and record the temperature in thetable.K eep the boiling tube and its contents for the remaining experiments in thisquestion.Experiment 2F rom the burette, add 2.0cm3 more of the water into the boiling tube and contents fromExperiment 1.R epeat the experiment exactly as before to ﬁnd the temperature at which crystals ﬁ rstappear.I t may help if the boiling tube is dipped for short periods of time in a beaker of cold water tospeed up the cooling.R ecord, in the table, the total volume of water in the boiling tube and the temperature atwhich crystals ﬁ rst appear.ForExaminer’sUseExperiment 3 F rom the burette, add 2.0 cm 3 more of the water into the boiling tube and contents fromExperiment 2.R epeat the experiment exactly as before and record, in the table, the total volume of water used and the temperature at which crystals ﬁ rst appear.C ontinue this procedure for Experiment 4 with one more addition of 2.0 cm 3 of water. Note all the results in the table.A t the end of Experiment 4, the total volume of water in the boiling tube will be 16.0 cm 3.Table of resultsexperimenttotal volume of water / cm 3temperature at whichcrystals ﬁ rst appear / °C110.0234[5]ForExaminer’sUse(a) P lot your results on the grid below and draw a straight line graph.t e m p e r a t u r e a t w h i c h c r y s t a l s f i r s t a p p e a r / °Ctotal volume of water / cm 3910111213141516[6]For(b)H ow did you know when salt A was completely dissolved in the water?Examiner’sUse (1)(c)F rom your graph, ﬁ nd the temperature at which crystals of A would ﬁ rst appear if thetotal volume of water in the solution were 9.0cm3.S how clearly on the graph how you worked out your answer............................................................°C [2](d)S alt B is more soluble in water than salt A. Sketch on the grid the graph you wouldexpect for B. Label this graph. [2](e)S uggest, with a reason, how the results would be different if 6g of salt A were usedinstead of 12g............................................................................................................................................ (2)(f)E xplain one improvement you could make to the experimental procedure to obtain moreaccurate results in this investigation.improvement.....................................................................................................................[2]explanation.................................................................................................................[Total: 20]ForExaminer’sUse2 Y ou are provided with solid W and two solutions, X and Y . C arry out the following tests on the solid and the solutions, recording all of your observations in the table.C onclusions must not be written in the table.testsobservationstests on solid W(a) D issolve half of the sample of solid W in about 3 cm 3 of distilled water.A dd a few drops of dilute nitric acid and then aqueous silver nitrate. (2)tests on solution X (b) (i) D escribe solution X .T est a little of solution X with Universal Indicator paper. Record the pH.(ii)T o about 2 cm 3 of solution X , add aqueous sodium hydroxide. (iii)T o about 2 cm 3 of solution X , addaqueous ammonia drop by drop and shake the test-tube.N ow add excess aqueous ammonia solution to the test-tube. (iv)A dd the rest of solid W to about 3 cm 3 of solution X . Stir and leave to stand for 5 minutes. (1)pH ........................................................... [1] ................................................................ [2] ................................................................ [1] ...................................................................... (2)............................................................................................................................................ . (3)tests on solution Y (c) (i)T est a little of solution Y with Universal Indicator paper. Record the pH. (ii)T o about 3 cm 3 of solution Y , add a few drops of dilute hydrochloric acid and then aqueous barium chloride. pH ........................................................... [1] ...................................................................... . (2)For(d)W hat conclusion can you make about solid W?Examiner’sUse (1)(e)W hat conclusions can you make about solution X?........................................................................................................................................... (2)(f)I dentify solution Y. (2)[Total: 20]Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.NOTES FOR USE IN QUALITATIVE ANALYSISTest for anions aniontesttest resultcarbonate (CO 32–)add dilute acideffervescence, carbon dioxide produced chloride (C l –)[in solution]acidify with dilute nitric acid, then add aqueous silver nitrate white ppt.iodide (I –)[in solution]acidify with dilute nitric acid, then add aqueous silver nitrate yellow ppt.nitrate (NO 3–)[in solution]add aqueous sodium hydroxide then aluminium foil; warm carefully ammonia produced sulfate (SO 42–)[in solution]acidify with dilute nitric acid, then aqueous barium nitratewhite ppt.Test for aqueous cations cationeffect of aqueous sodium hydroxide effect of aqueous ammonia aluminium (A l 3+)white ppt., soluble in excess giving a colourless solutionwhite ppt., insoluble in excess ammonium (NH 4+)ammonia produced on warming –calcium (Ca 2+)white ppt., insoluble in excess no ppt., or very slight white ppt.copper (Cu 2+)light blue ppt., insoluble in excess light blue ppt., soluble in excess giving a dark blue solution iron(II ) (Fe 2+)green ppt., insoluble in excess green ppt., insoluble in excess iron(III ) (Fe 3+)red-brown ppt., insoluble in excess red-brown ppt., insoluble in excess zinc (Zn 2+)white ppt., soluble in excess giving a colourless solutionwhite ppt., soluble in excess giving a colourless solutionTest for gases gastest and test resultsammonia (NH 3)turns damp red litmus paper blue carbon dioxide (CO 2)turns limewater milky chlorine (C l 2)bleaches damp litmus paper hydrogen (H 2)‘pops’ with a lighted splint oxygen (O 2)relights a glowing splint。

九天国际教育GCSE真题November 2010 (v3) QP - Paper 6 CIE Chemistry IGCSE

READ THESE INSTRUCTIONS FIRSTWrite your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen.You may use a pencil for any diagrams, graphs or rough working.Do not use staples, paper clips, highlighters, glue or correction ﬂ uid.DO NOT WRITE IN ANY BARCODES.Answer all questions.At the end of the examination, fasten all your work securely together.The number of marks is given in brackets [ ] at the end of each question or part question.CHEMISTRY0620/63Paper 6 Alternative to PracticalOctober/November 20101 hourCandidates answer on the Question Paper.No Additional Materials are required.UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certi ﬁ cate of Secondary EducationThis document consists of 11 printed pages and 1blank page.[Turn overIB10 11_0620_63/3RP © UCLES 2010*2908924238*For Examiner’s Use 345Total67120620/63/O/N/10© UCLES 2010For Examiner’sUse°C) and octane (b.p. 126 °C)(a) (i) N ame this method of separation. (1)(ii) N ame the pieces of apparatus labelledA ................................................................................................................................B (2)(b) W hy would an electric heater be used rather than a ﬂ ame for heating this mixture? (1)(c) W hich of the two alkanes would be collected ﬁ rst at C ? (1)(d) H ow would the student know when the second alkane began to be collected? (1)[Total: 6]0620/63/O/N/10© UCLES 2010[Turn overForExaminer’sUse2T he notes below show the steps taken by a student to prepare crystals of hydrated nickel nitrate, Ni(NO 3)2.6H 2O.Step 1 P lace 25 cm 3 of dilute nitric acid in a beaker.Step 2 A dd nickel carbonate powder to the beaker until it is in excess. Step 3 S eparate the solution of nickel nitrate from the mixture. Step 4H eat the solution to obtain crystals of hydrated nickel nitrate.(a) (i) Name the piece of apparatus used to measure the nitric acid in Step 1. (1)(ii) W hy is it not necessary to heat the dilute nitric acid before adding the nickelcarbonate? (1)(b) H ow would the student know when excess nickel carbonate was present in Step 2? (1)(c) D raw a diagram to show the separation method used in Step 3.[2](d) H ow could the student make sure a good sample of crystals was obtained when carryingout Step 4? Explain your answer............................................................................................................................................ ........................................................................................................................................... (2)[Total: 7]0620/63/O/N/10© UCLES 2010For Examiner’sUseeter investigated the temperature change when 0.5 g of zinc powder was added to 50 cm 3T he experiment was repeated three times using different masses of zinc powder. The initialtemperature of the copper sulfate solution was the same in each experiment.zinc powderT he thermometer diagrams show the highest temperature reached.3530250.5 g zinc3530251.0 g zinc3530251.5 g zinc3530252.0 g zinc(a) U se the thermometer diagrams to complete the table of results.Table of resultsmass of zinc / ginitialtemperature / °Chighest temperature / °Ctemperature rise / °C0.5211.0211.5212.021[2]0620/63/O/N/10© UCLES 2010[Turn overForExaminer’sUse(b) P lot the results on the grid below and connect the points with straight lines.12108642000.51.01.52.02.5temperaturerise / °Cmass of zinc / g[3](c) (i) U se your graph to ﬁ nd the mass of zinc required to produce a temperature rise of6.0 °C. Show clearly on the grid how you obtained your answer. (2)(ii) S uggest why the temperature rise was the same in the last two experiments. (1)(d) S ketch on the grid the graph you would expect if the experiments were repeated usingthe same masses of magnesium powder. [2][Total: 10]0620/63/O/N/10© UCLES 2010ForExaminer’sUse4(a) A student investigated the reaction between dilute hydrochloric acid and two differentalkaline solutions, F and G .T wo experiments were carried out. Experiment 1A burette was ﬁ lled up to the 0.0 cm 3 mark with dilute hydrochloric acid.U sing a measuring cylinder, 25 cm 3 of solution F was placed into a conical ﬂ ask with a few drops of phenolphthalein indicator.T he hydrochloric acid was added to the ﬂ ask until the colour of the phenolphthalein changed. Use the burette diagram to record the ﬁ nal volume in the table of results.Experiment 2E xperiment 1 was repeated using solution G .Use the burette diagrams to record the volumes and complete the table of results.initialfinalTable of resultsburette readings / cm 3experiment 1experiment 2ﬁ nal reading initial readingdifference[4]For(b)W hich ion is present in all alkaline solutions?Examiner’sUse (1)(c)(i)I n which Experiment was the greatest volume of hydrochloric acid used? (1)(ii)C ompare the volumes of hydrochloric acid used in Experiments 1 and 2. (1)(iii)S uggest explanations for the difference in volumes......................................................................................................................................................................................................................................................................... (2)(d)P redict the volume of hydrochloric acid which would be needed to react completely with12.5cm3 of solution G. Explain your answer............................................................................................................................................ (3)(e)(i)S tate two sources of error in the experimental procedure.1.................................................................................................................................2. (2)(ii)S uggest two improvements to reduce the sources of error in the experimental procedure.1.................................................................................................................................2. (2)[Total: 16]© UCLES 2010[Turn over0620/63/O/N/100620/63/O/N/10© UCLES 2010For Examiner’sUse5 T wo salts, W and X , were analysed. X was iron(II ) chloride.The tests on each salt, and some of their observations, are in the following table.Complete the observations in the table.testsobservationstests on salt W(a) A little of W was heated in a test-tube. Any gas given off was tested with damp pH indicator paper.a white solid formed at the top of thetest-tube pungent gas evolved, pH 8-10(b) W was dissolved in distilled water in atest-tube.T he solution was divided into three portions in test-tubes and the following tests carried out.(i) T o the ﬁ rst portion, dilute hydrochloricacid was added and then aqueous barium chloride.(ii) T o the second portion, dilute nitricacid was added and then aqueous silver nitrate.(iii) T o the third portion, aqueous sodiumhydroxide was added. The mixture was heated and any gases given off were tested with damp pH indicator paper.white precipitateno visible reactionpungent gas evolved, pH 8-10tests on salt X(c) A ppearance of salt X .(d) S alt X was dissolved in distilled water ina test-tube. The solution was divided into two portions.(i) T o the ﬁ rst portion, excess aqueoussodium hydroxide was added.(ii) T o the second portion, a few dropsof nitric acid was added followed by aqueous silver nitrate. (1)........................................................................................................................................ [2]. (2)For(e)I dentify the gas given off in tests (a) and (b)(iii).Examiner’sUse (1)(f)W hat conclusions can you draw about salt W?...................................................................................................................................................................................................................................................................................... (3)[Total: 9]© UCLES 2010[Turn over0620/63/O/N/100620/63/O/N/10© UCLES 2010For Examiner’sUseexcess hydrogen hydrogen(a) E xplain why powdered copper oxide was used and not lumps of copper oxide............................................................................................................................................ (2)(b) T he copper oxide changed colour from black to (1)(c) W hat caused the colourless liquid to form in the U-tube? (1)(d) G ive a chemical test that could be carried out on the colourless liquid to show thepresence of water.test ...................................................................................................................................result (2)[Total: 6]11For7T he label shows the substances present in a bottle of orange fruit drink.Examiner’sUseORANGE FRUIT DRINKContains: orange juice, malic acid, citric acidand natural colours (carotenes)NO ARTIFICIAL COLOURS (E NUMBERS)(a)A piece of pH indicator paper was dipped in the drink.(i)P redict the pH value obtained. (1)(ii)W hy does the pH indicator paper give a more reliable result than adding Universal Indicator solution to the drink?.................................................................................................................................... (1)(b)D escribe an experiment you could carry out to show that only natural colours werepresent in the drink.A space has been left if you want to draw a diagram to help you answer the question............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. (4)[Total: 6]Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.12BLANK PAGE。

IGCSE数学样题May-June 2010_2

1.5 2.5
For Examiner's
Use
8
[3]
© UCLES 2010
0580/12/M/J/10

9
16 Daniel invested $2500 for 2 years at 5.5% per year compound interest. Calculate how much interest he received.
Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.
At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 56.
12 (a) 1 = 3x .
27
Write down the value of x.
(b) Simplify (i) p7 × p-2 ,
(ii) m3 ÷ m7.

九天国际教育GCSE真题November 2010 (v3) QP - Paper 1 CIE Chemistry IGCSE

This document consists of 16 printed pages.IB10 11_0620_13/RP© UCLES 2010[Turn over*8947497463*UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary EducationCHEMISTRY 0620/13Paper 1 Multiple Choice October/November 201045 MinutesAdditional Materials: Multiple Choice Answer Sheet Soft clean eraserSoft pencil (type B or HB is recommended)READ THESE INSTRUCTIONS FIRSTWrite in soft pencil.Do not use staples, paper clips, highlighters, glue or correction fluid.Write your name, Centre number and candidate number on the Answer Sheet in the spaces provided unless this has been done for you.There areforty questions on this paper. Answer all questions. For each question there are four possibl e answers A , B , C and D .Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet.Read the instructions on the Answer Sheet very carefully.Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. A copy of the Periodic Table is printed on page 16. You may use a calculator.© UCLES 2010 0620/13/O/N/101 In which changes do the particles move further apart?W Xgas liquid solidY ZA W and XB W and ZC X and YD Y and Z2 The table shows the structure of different atoms and ions.particleproton numbernucleon numbernumber of protonsnumber of neutronsnumber of electronsMg 12 24 12 W 12 Mg 2+ X 24 12 12 10 F 9 19 9 Y 9 F – 9 19 9 10 ZWhat are the values of W, X, Y and Z?W X YZ A 10 10 9 9 B 10 12 10 9 C 12 10 9 10 D 12 12 10 103 Element X has a nucleon (mass) number of 19 and a proton (atomic) number of 9.To which group in the Periodic Table does it belong?A IB IIIC VIID 04 A mixture of ethanol and methanol are separated by fractional distillation.This method of separation depends on a difference in property X of these two alcohols.What is property X? A boiling point B colour C melting pointD solubility© UCLES 2010 0620/13/O/N/10[Turn over5 Chromatography is used to find out if a banned dye, P, is present in foodstuffs. The results are shown in the diagram.Which foodstuff contains P?A PBC D6 Which diagram does not show the outer shell electrons in the molecule correctly?ABCD© UCLES 2010 0620/13/O/N/107 Two isotopes of hydrogen are H 11 and H 21.Which diagram shows the arrangement of particles in the two isotopes?= a nucleus8 The chemical compositions of two substances, W and X, are given.W Na(A l Si 3)O 8X Ca(A l 2Si 2)O 8Which statements are correct?1 W and X contain the same amount of oxygen.2 W contains three times as much silicon as X. 3X contains twice as much aluminium as W.A 1 and 2B 1 and 3C 2 and 3D 1, 2 and 3X and Y form a covalent compound.What is its formula?A XY5B XY3C XYD X3Y10 Element X is shiny and can be formed into a sheet by hammering.Which row correctly describes the properties of element X?conducts electricity melts below 25°CABCD11Substance X was electrolysed in an electrolytic cell.A coloured gas was formed at the anode and a metal was formed at the cathode.anodeWhat is substance X?A aqueous sodium chlorideB molten lead bromideC molten zinc oxideD solid sodium chloride© UCLES 2010 0620/13/O/N/10 [Turn over© UCLES 2010 0620/13/O/N/10II )bulbThe experiment did not work.What change is needed in the experiment to make it work? A Add solid copper(II ) sulfate to the electrolyte. B Increase the temperature of the electrolyte.C Replace the copper electrode by a carbon electrode.D Reverse the connections to the battery.13 When concentrated sodium chloride solution is electrolysed, elements X and Y are formed.What are X and Y?X YA chlorine hydrogenB hydrogen chlorineC hydrogen oxygenD oxygen hydrogen© UCLES 2010 0620/13/O/N/10[Turn over14 Calcium carbonate was reacted with hydrochloric acid in a conical flask. The flask was placed ona balance and the mass of the flask and contents was recorded as the reaction proceeded.During the reaction, carbon dioxide gas was given off.The reaction was carried out at two different temperatures.Which row is correct?change in masstemperature at which masschanged more quickly A decrease highertemperature B decrease lower temperature C increase highertemperature Dincrease lower temperature15 Which is an endothermic process?A burning hydrogenB distilling petroleum Creacting potassium with waterD using petrol in a motor car engine16 The diagrams show some pieces of laboratory equipment.3thermometer2stop-clock1balanceWhich equipment is needed to find out whether dissolv ing salt in water is an endothermic process? A 1 onlyB 1 and 3C 2 and 3D 3 only17Which reaction will result in a decrease in pH?A adding calcium hydroxide to acid soilB adding citric acid to sodium hydrogen carbonate solutionC adding sodium chloride to silver nitrate solutionD adding sodium hydroxide to hydrochloric acid18When pink crystals of cobalt(II) chloride are heated, steam is given off and the colour of the solid changes to blue.CoC l2.6H2O CoC l2 + 6H2OWhat happens when water is added to the blue solid?colour temperatureA changes to pink decreasesB changes to pink increasesC remains blue decreasesD remains blue increases19The red colour in some pottery glazes may be formed as a result of the reactions shown.CuCO3 CuO + CO2CuO + SnO Cu + SnO2heatThese equations show that ……1…… is oxidised and ……2…… is reduced.Which substances correctly complete gaps 1 and 2 in the above sentence?1 2A CO2 SnO2B CuCO3 CuOC CuO SnOD SnO CuO© UCLES 2010 0620/13/O/N/10© UCLES 2010 0620/13/O/N/10[Turn over20 Some barium iodide is dissolved in water.Aqueous lead(II ) nitrate is added to the solution until no more precipitate forms.This precipitate, X, is filtered off.Dilute sulfuric acid is added to the filtrate and another precipitate, Y, forms.What are the colours of precipitates X and Y?X Y A white white B white yellow C yellow white Dyellow yellow21 The table shows some reactions of the halogens.Which reaction is the most likely to be explosive?reactionchlorine gasbromine gasiodine gasreaction with hydrogen A B C reaction with ironvery vigorousless vigorousD22 Which compound is likely to be coloured?A KMnO 4B KNO 3C K 2CO 3D K 2SO 423 A salt is made by adding an excess of an insoluble metal oxide to an acid.How can the excess metal oxide be removed?A chromatographyB crystallisationC distillationD filtrationWhat is the pH of the acid before the reaction and what type of element is X?pH type of element XA greater than 7 metalB greater than 7 non-metalC less than 7 metalD less than 7 non-metal25The diagram shows the positions of elements P, Q, R, S and T in the Periodic Table.These letters are not the chemical symbols for the elements.S T PQ RWhich statement about the properties of these elements is correct?A P reacts more vigorously with water than does Q.B P, Q and R are all metals.C T exists as diatomic molecules.D T is more reactive than S.© UCLES 2010 0620/13/O/N/1026 The table compares the properties of Group I elements with those of transition elements.Which entry in the table is correct?property Group I elementstransition elementsA catalytic activitylowhighB density high lowC electrical conductivitylow high Dmelting pointhighlow27 Which pollutant, found in car exhaust fumes, does not come from the fuel?A carbon monoxideB hydrocarbonsC lead compoundsD nitrogen oxides28 The diagram shows the materials used in the production of steel from impure iron.What could element X be? A calcium B carbon C nitrogenD sulfur29 Which property do all metals have?A Their boiling points are low.B Their densities are low.C They conduct electricity.D They react with water.30Which diagram could represent the structure of an alloy?A BC D31 Some metals react readily with dilute hydrochloric acid.Some metals can be extracted by heating their oxides with carbon.For which metal are both statements correct?A calciumB copperC ironD magnesium32Which diagram shows a common use of stainless steel?DA BCA to kill bacteria in the waterB to make the water neutralC to make the water taste betterD to remove any salt in the water34 A test-tube containing damp iron wool is inverted in water.After three days, the water level inside the test-tube has risen.Which statement explains this rise?A Iron oxide has been formed.B Iron wool has been reduced.C Oxygen has been formed.D The temperature of the water has risen.35 A bag of fertiliser ‘Watch it grow’ contains ammonium sulfate and potassium sulfate.Which of the three elements N, P and K does ‘Watch it grow’ contain?N P KABCD36 Which information about carbon dioxide and methane is correct?carb o n di o xide methane A formed when vegetation decomposes B greenhouse gas C present in unpolluted airDproduced during respiration37 Ethene reacts with Y to produce ethanol.ethene + Y → ethanolWhat is Y?A hydr o genB o xygenC steamD yeast38 In an oil refinery, crude oil is separated into useful fractions.The diagram shows some of these fractions.refinery gases gasolene Xdiesel YZWhat are fractions X, Y and Z?X Y Z A fuel oil bitumen paraffin (kerosene)B fuel oil paraffin (kerosene)bitumen C paraffin (kerosene) bitumen fuel oil D paraffin (kerosene)fuel oilbitumen39 The diagram shows the structure of a compound.H C H C HHC HO H H C HTo which classes of compound does this molecule belong?alkane alkene alc o h o l A n o n o n o B n o yes yes C yes n o yes Dyes yes yes40 Which structures show compounds that are members of the same homologous series?OC HHC H HC H HHH1HCH HC H HCO OH2HC H HC H HC HH HC 3HC H HC H HC H HC H HOH4A 1 and 2B 1 and 4C 2 and 3D 3 and 416Per mission to r epr oduce items wher e thir d-par ty owned mater ial pr otected by copyr ight is included has been sought and clear ed wher e possible. Ever y reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. G r o u p140C eC e r i u m 58141P rP r a s e o d y m i u m 59144N d N e o d ym i u m 60P mP r o m e t h i u m61150S mS a m a r i u m62152E uE u r o p i u m63157G dG a d o l i n i u m64159T bT e r b i u m65162D yD y s p r o s i u m66165H oH o l m i u m67167E rE r b i u m68169T mT h u l i u m69173Y bY t t e r b i u m70175L uL u t e t i u m71232T hT h o r i u m 90P aP r o t a c t i n i u m 91238UU r a n i u m92N pN e p t u n i u m93P uP l u t o n i u m94A mA m e r i c i u m95C mC u r i u m96B kB e r k e l i u m97C fC a l i f o r n i u m98E sE i n s t e i n i u m99F mF e r m i u m100M dM e n d e l e v i u m101N oN o b e l i u m102L rL a w r e n c i u m1031HH y d r o g e n17L iL i t h i u m 323N aS o d i u m 1124M gM a g n e s i u m1240C aC a l c i u m 2045S c S c a n d i u m 2148T i T i t a n i u m2251V V a n a d i u m 2352C r C h r o m i u m 2455M n M a n g a n e s e 2556F e I r o n 2659C o C o b a l t 2759N i N i c k e l 2864C u C o p p e r 2965Z n Z i n c3070G aG a l l i u m3127A l A l u m i n i u m1311B B o r o n 512C C a r b o n614NN i t r o g e n716OO x y g e n819FF l u o r i n e928S iS i l i c o n1431PP h o s p h o r u s1532SS u l f u r1635.5C lC h l o r i n e1740A rA r g o n1820N eN e o n104H eH e l i u m273G eG e r m a n i u m3275A sA r s e n i c3379S eS e l e n i u m3480B rB r o m i n e3584K rK r y p t o n3639KP o t a s s i u m 1988S rS t r o n t i u m 3889Y Y t t r i u m 3991Z r Z i r c o n i u m4093N b N i o b i u m 4196M o M o l y b d e n u m 42T c T e c h n e t i u m 43101R u R u t h e n i u m 44103R h R h o d i u m 45106P d P a l l a d i u m 46108A g S i l v e r47112C dC a d m i u m48115I nI n d i u m49119S nT i n50122S bA n t i m o n y51128T eT e l l u r i u m52127II o d i n e53131X eX e n o n54137B aB a r i u m 56139L a L a n t h a n u m 57*178H fH a f n i u m72181T a T a n t a l u m 73184W T u n g s t e n 74186R e R h e n i u m 75190O s O s m i u m 76192I rI r i d i u m 77195P t P l a t i n u m78197A uG o l d79201H gM e r c u r y80204T lT h a l l i u m81207P bL e a d82209B iB i s m u t h83P oP o l o n i u m84A tA s t a t i n e85R nR a d o n86F rF r a n c i u m 87227A cA c t i n i u m899B eB e r y l l i u m4II I I I II V V V I V I I 085R bR u b i d i u m 37133C sC a e s i u m 55226R a R a d i u m 88T h e v o l u m e o f o n e m o l e o f a n y g a s i s 24d m 3a t r o o m t e m p e r a t u r e a n d p r e s s u r e (r .t .p .).a Xb a = r e l a t i v e a t o m ic m a s sX = a t o m i c s y m b o lb = p r o t o n (a t o m ic ) n u m b e rK e y *58-71 L a n t h a n o i d s e r i e s 90-103 A c t i n o i d s e r i e s D A T A S H E E T T h e P e r i o d i c T a b l e o f t h e E l e m e n t sPMT。

IGCSE数学试卷 past paper汇编

*0835058084*ADDITIONAL MATHEMATICS 0606/11Paper 1October/November 20122 hoursCandidates answer on the Question Paper.Additional Materials:Electronic calculator.READ THESE INSTRUCTIONS FIRSTWrite your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen.Y ou may use a pencil for any diagrams or graphs.Do not use staples, paper clips, highlighters, glue or correction fluid.Answer all the questions.Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question.The use of an electronic calculator is expected, where appropriate.Y ou are reminded of the need for clear presentation in your answers.At the end of the examination, fasten all your work securely together.The number of marks is given in brackets [ ] at the end of each question or part question.The total number of marks for this paper is 80.For Examiner’s Use 1 2 3 4 5 6 7 8 9101112TotalUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary EducationForExaminer’s UseMathematical Formulae1. ALGEBRA Quadratic EquationFor the equation ax 2 + bx + c = 0,x=Binomial Theorem(a + b )n = a n + (n 1)a n –1 b + (n 2)a n –2 b 2 + … + (nr )a n–rb r + … + b n ,where n is a positive integer and (n r )=n !(n – r )!r !2. TRIGONOMETRY Identitiessin 2 A + cos 2 A = 1sec 2 A = 1 + tan 2 A cosec 2 A = 1 + cot 2 AFormulae for ∆ABCa sin A =b sin B =csin C a 2 = b 2 + c 2 – 2bc cos A∆ = 1 2bc sin AForExaminer’s Use1 (i) Sketch the graph of y = |3 + 5x |, showing the coordinates of the points where your graphmeets the coordinate axes. [2](ii) Solve the equation |3 + 5x | = 2. [2]2 Find the values of k for which the line y = k – 6x is a tangent to the curve y = x (2x + k ). [4]For Examiner’s Use3Given that p = log q 32, express, in terms of p ,(i) log q 4,[2](ii) log q 16q . [2]4 Using the substitution u = 5x , or otherwise, solve52x +1 = 7(5x ) – 2.[5]For Examiner’s Use5Given that y =x 2cos 4x, find (i) d yd x,[3](ii) the approximate change in y when x increases from π4 to π4+ p , where p is small.[2]For 6 (i) Find the first 3 terms, in descending powers of x, in the expansion of ΂x + 2x2΃6. [3]Examiner’sUse (ii) Hence find the term independent of x in the expansion of ΂2 – 4x3΃΂x + 2x2΃6. [2]For Examiner’s Use7Do not use a calculator in any part of this question.(a) (i) Show that 3 5 – 2 2 is a square root of 53 – 1210. [1](ii) State the other square root of 53 – 1210. [1](b)a +b 6, where a and b are integers to be found.[4]For Examiner’s Use8The points A (–3, 6), B (5, 2) and C lie on a straight line such that B is the mid-point of AC .(i) Find the coordinates of C .[2]The point D lies on the y -axis and the line CD is perpendicular to AC .(ii) Find the area of the triangle ACD . [5]ForExaminer’s Use9A function g is such that g(x ) = 12x – 1 for 1р x р 3. (i) Find the range of g.[1](ii) Find g –1(x ). [2](iii) Write down the domain of g –1(x ). [1](iv) Solve g 2(x ) = 3.[3]For Examiner’s Use10 The table shows values of the variables x and y .x 10°30°45°60°80°y11.21619.522.424.7(i) Using the graph paper below, plot a suitable straight line graph to show that, for10° р x р 80°,y = A sin x + B , where A and B are positive constants.[4](ii) Use your graph to find the value of A and of B. [3]ForExaminer’sUse (iii) Estimate the value of y when x = 50. [2](iv) Estimate the value of x when y = 12. [2]For 11 (a) Solve cosec ΂2x – π3΃ = 2 for 0 < x < π radians. [4]Examiner’sUse(i) Given that 5(cos y + sin y)(2 cos y – sin y) = 7, show that 12 tan2y – 5 tan y – 3 = 0. [4](b)(ii) Hence solve 5(cos y + sin y)(2 cos y – sin y) = 7 for 0° < x < 180°. [3]ForExaminer’sUseForExaminer’sUse 12 Answer only one of the following two alternatives.EITHERThe diagram shows part of the graph of y = (12 – 6x)(1 + x)2, which meets the x-axis at thepoints A and B. The point C is the maximum point of the curve.(i) Find the coordinates of each of A, B and C. [6](ii) Find the area of the shaded region. [5]ORThe diagram shows part of a curve such that d yd x = 3x2 – 6x – 9. Points A and B are stationarypoints of the curve and lines from A and B are drawn perpendicular to the x-axis. Given that the curve passes through the point (0, 30), find(i) the equation of the curve, [4](ii) the x-coordinate of A and of B, [3](iii) the area of the shaded region. [4]For Examiner’s UseStart your answer to Question 12 here.Indicate which question you are answering. EITHEROR 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your answer here if necessary.ForExaminer’sUse ................................................................................................................................................................... ................................................................................................................................................................... ................................................................................................................................................................... ................................................................................................................................................................... ................................................................................................................................................................... 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...................................................................................................................................................................Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.。

【最新】igcse试卷-精选word文档 (16页)

本文部分内容来自网络整理，本司不为其真实性负责，如有异议或侵权请及时联系，本司将立即删除！== 本文为word格式，下载后可方便编辑和修改！ ==igcse试卷篇一：201X年IGCSE数学考试题1. Solve the equation(9)cos x + ?(1 ? sin 2x) = 0, in the interval 0? ? x < 360?.12(1?x)2. (a) For the binomial expansion of , ?x? < 1, in ascending powers of x,(i) find the first four terms,(ii) write down the coefficient of xn.(2)?xnnx?2(1?x)n?1(b) Hence, show that, for ?x? < 1, = .(2)(a?1)x?x2(an?1)x??2(1?x)n?1(c) Prove that, for ?x? < 1, , where a is a constant.(4)?5n?1?3nn?12(d) Hence evaluate .(2)3. f(x) = x3 ? (k + 4)x + 2k, where k is a constant.(a) Show that, for all values of k, the curve with equation y = f(x) passes through the point (2, 0).(1)(b) Find the values of k for which the equation f(x) = 0 has exactly two distinct roots.(5)Given that k > 0, that the x-axis is a tangent to the curve with equation y = f(x), and that the line y = p intersects the curve in three distinct points,(c) find the set of values that p can take. (5) ?n4.y(0, 4)The circle, with centre C and radius r, touches the y-axis at (0, 4) and also touches the line with equation 4y ? 3x = 0, as shown in Fig.1.(a) (i) Find the value of r.(8)(b)(4)31??(ii) Show that arctan + 2 acrtan = 1 Figure 1 ?. The line with equation 4x + 3y = q, q > 12, is a tangent to the circle. Find the value of q. 1dy2?(1?t). dt5. (a) Given that y = ln [t + ?(1 +t2)],show that =(3)The curve C has parametric equations12?(1?t), y = ln [t + ?(1 + t2)], t ? ?. x = A student was asked to prove that, for t > 0, the gradient of the tangent to C is negative. The attempted proof was as follows:?1??t??y = ln ?x??tx?1???x??= ln= ln (tx + 1) ?ln xdy? dx tx?11xt?x = t1?= tx?1xt?(1?t2)(1?t2)t??(1?t2)= – = t??(1?t2) ? ? (1 + t2)dyAs (1 + t2) > 0, and t + ?(1 + t2) > 0 for t > 0, dx < 0 for t > 0.(b) (i) Identify the error in this attempt.(ii) Give a correct version of the proof.(6)(c) Prove that ln [?t + ?(1 + t2)] = ?ln [t + ?(1 + t2)].(3)(d) Deduce that C is symmetric about the x-axis and sketch the graph of C.(3)6. f(x) = x ? [x], x ? 0where [x] is the largest integer ? x.For example, f(3.7) = 3.7 ? 3 = 0.7; f(3) = 3 ? 3 = 0.(a) Sketch the graph of y = f(x) for 0 ? x < 4.(3)??f(x)dx(b) Find the value of p for which ?2= 0.18.(3)Given that 1g(x) = 1?kx,x ? 0,k > 0,and that x0 = is a root of the equation f(x) = g(x),(c) find the value of k. (2)p2(1)The root of f(x) = g(x) in the interval n < x < n + 1 is xn, where n is an integer.(e) Prove that2xn2 ? (2n ? 1)xn ? (n + 1) = 0. (d) Add a sketch of the graph of y = g(x) to your answer to part (a).(4)7. Triangle ABC, with BC = a, AC = b and AB = c is inscribed in a circle. Given that AB is a diameter of the circle and that a2, b2 and c2 are three consecutive terms of an arithmetic progression (arithmetic series),(a) express b and c in terms of a,(4)。

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12 (a) 1 = 3x .
27
Write down the value of x.
(b) Simplify (i) p7 × p-2 ,
(ii) m3 ÷ m7.
7
Answer(a) x = Answer(b)(i) Answer(b)(ii)
13 (a) Work out
0.68 + 2.57 ×1.76 .
[3] [Turn over
8
15 The diagram shows a prism. The lengths are in centimetres.
NOT TO SCALE
1 3
2
4 Part of an accurate net of the prism is drawn below. Complete the net.
Answer all questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142.
Answer(b)
14 Solve the simultaneous equations.
3x − 2y = 15 2x + y = 17
For Examiner's
Use
[1]
[1] [1]
[1] [2]
© UCLES 2010
Answer x = y=
0580/12/M/J/10

1.5 2.5
For Examiner's
Use
8
[3]
© UCLES 2010
0580/12/M/J/10

9
16 Daniel invested $2500 for 2 years at 5.5% per year compound interest. Calculate how much interest he received.
(b) P from H.
Answer(a)
Answer(b)
10 When c = 10 and d = −2, find the value of the following expressions. (a) c + 2d
(b) 5c2 − cd
Answer(a)
Answer(b)
© UCLES 2010
For Examiner's
Use
Answer R
[2]
7 Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres.
Answer(b)
h
min [1]
© UCLES 2010
0580/12/M/J/10

[Turn over
4
6 Alphonse changed 400 Brazilian reals into South African Rand. The exchange rate was 1 Brazilian real = 4.76 South African Rand (R). How much did he receive?
Use
Answer(a)
[2]
(b) Draw, on the grid above, the image of flag A after rotation through 90° clockwise about the
Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.
At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 56.
(a) Write down the time in New Zealand when the plane leaves Hong Kong.
Answer(a)
[1]
(b) The plane arrives in New Zealand at 09 45 on Tuesday.
How long, in hours and minutes, does the journey take?
0580/12/M/J/10

[1] [1]
[1] [2] [Turn over
6
11 Fifteen children ran a 60 metre race. In the scatter diagram below, the time taken is plotted against the age for each child.
5
The second glass contains 1 litre.
4
What fraction of a litre does the third glass contain? Show all your working clearly.
For Examiner's
Use
Answer
[2]
5 A plane from Hong Kong to New Zealand leaves at 18 10 on Monday. The time in New Zealand is 4 hours ahead of the time in Hong Kong.
*7313041459*
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
MATHEMATICS Paper 1 (Core)
Candidates answer on the Question Paper.
18
17
16
15
14 Time (seconds)
13
12
11
10
9
8
7
8
9
10
11
12
13
14
Age (years)
(a) Draw a line of best fit on the scatter diagram. (b) What type of correlation does the scatter diagram show?

5
9
North
For Examiner's
Use
D North
P
North
H
The positions of Perth (P), Darwin (D) and Hobart (H) are shown on the diagram. Measure accurately any angles you need and write down the bearing of (a) D from P,
Answer(b) (c) Describe how the times taken change with the ages of the children.
Answer (c)
For Examiner's
Use
[1] [1] [1]
© UCLES 2010
0580/12/M/J/10

For Examiner's
Use
Answer $
[3]
17
y
y
y
y
6
6
6
6
–3
0
–6 A
x 3 –3
0
–6 B
y 6
x 3 –3
0
–6 C
y 6
x 3 –3
0
–6 D
y 6
–3
0
x 3 –3
0
x 3 –3
0
x 3
–6
–6
–6
E
F
G
Write down the letter of the graph which is
[Turn over
10
18 y

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