IGCSE数学样题May-June 2010_2
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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。
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。
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]。
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。
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。
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。