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This document consists of 11 printed pages and 1 blank page. IB09 06_0842_01/MS © UCLES 2009 [Turn over *9403698157* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Primary Achievement Test MATHEMATICS 0842/01 Paper 1 May/June 2009 MARK SCHEME Maximum Mark : 39 IMPORTANT NOTICE Mark Schemes have been issued on the basis of one copy per Assistant examiner and two copies per Team Leader.

2 © UCLES 2009 0842/01/M/J/09 Mathemati\bs mark s\bhem\–es – A\bhievement Test \– Guideline\b for marking\m te\bt paper\b These ma\bk schemes a\g\be designed to p\bovid\ge you with all the info\bma\gtion necessa\by to ma\g\bk the P\bima\by Mathematics A\gchievement Tests. \gAs fa\b as possi ble, the ma\bk scheme\gs give you full guid\gance \bega\bding acceptable a\gnd unacceptable alt\ge\bnativ e answe\bs and, whe\b\ge app\bop\biate, includ\ge examples of studen\gt wo\bk to illust\bate\g the ma\bking points. Howeve\b, \git is not always po\gssible to p\bedict all the alte\g\bnative answe\bs that\g may be p\b oduced by students \gand the\be could be \gplaces whe\be the ma\bke\b will\g have to use thei \b p\bofessional judgem\gent. In these cases\g it is essential tha\gt such judgement be ap\gplied consistently. \g The guidelines below\g should be followe\gd th\boughout ( unle\b\b the mark \bcheme \m\btate\b otherwi\be):  A co\b\bect answe\b shou\gld always be awa\bde\gd full m a\bks even if the wo\b\gking shown is w\bong. \g  Whe\be mo\be than one \gma\bk is available fo\g\b a que stion the ma\bk schem\ge explains whe\be ea\gch ma\bk should be awa\bd\ged. In some cases m\ga\bks a\be available fo\b demon\gst\bation of the co\b\be\gct method even if the \gfinal answe\b is inco\b\g\bect. The method ma\bks \gcan be awa\bded if th\ge co\b\bect method is used but \ga mistake has been \gmade in t he calculation, \besu\glting in a w\bong answ\ge\b. Method ma\bks can als\go be awa\bded if the\g calcu lation is set up an\gd pe\bfo\bmed co\b\bectly\g but inco\b\bect values have\g been used, e.g. du\ge to mi s\beading the question\g o\b a mistake ea\blie\b\g in a se\bies of calculation\gs.  If a question uses t\ghe answe\b to a p\bev\gious ques tion o\b pa\bt question\g that the student \g answe\bed inco\b\bectly,\g all available ma\bks\g can be aw a\bded fo\b the latte\g\b question if app\bop\bi\gate calculations a\be pe\bf\go\bmed co\b\bectly using \gt he value ca\b\bied fo\bw\ga\bd. Places whe\be s\guch conside\bation should\g be made a\be indicat\ged in the m a\bk schemes. In thes\ge cases, it is not possible to p\bovide \gall the alte\bnative\g acc eptable answe\bs and\g the ma\bke\b must fol\glow the student’s wo\bking to \gdete\bmine wh ethe\b c\bedit should \gbe given o\b not.  Half ma\bks should n\got be awa\bded and a\gt no poin t should an answe\b \gbe awa\bded mo\be tha\gn the maximum numbe\b \gof ma\bks available, \g\beg a\bdless of the quali\gty of the answe\b.  If the student has \ggiven mo\be than one \ganswe\b, the ma\bks can be aw\ga\bded if all the an\gswe\bs given a\be co\b\bect. Ho\gweve\b, if co\b\bect and\g inco\b\bect answe\bs a\be\g given togethe\b, ma\bk\gs should not be awa\bded (ma\bks\g fo\b co\b\bect wo\bking ou\gt can still be gaine\gd).  If the answe\b line is\g blank but the co\b\be\gct answe \b is given elsewhe\be,\g e.g. an annotation\g on a g\baph o\b at the end \gof the wo\bking out, \gthe ma\bk s can be awa\bded p\bo\gvided it is clea\b tha\gt the student has unde\bst\good the \bequi\bements \gof the question.  If the \besponse on t\ghe answe\b line is in\gco\b\bect but t he co\b\bect answe\b is \gshown elsewhe\be, fu\gll ma\bks can still be a\gwa\bded if the stude\gnt has made t he e\b\bo\b when copying\g the answe\b onto the answe\b line. If\g the inco\b\bect final \ganswe\b i s the \besult of \bed\gundant additional w\go\bking afte\b the co\b\bect ans\gwe\b had been \beached\g, the ma\bks can be awa\g\bded p\bovided the ex\gt\ba wo\bk does not cont\ba\gdict that al\beady do\gne.  Each question and pa\b\gt question should be\g consi de\bed independently\g and ma\bks fo\b one question should not \gbe disallowed if th\gey a\be cont\badicted by wo\bkin\gg o\b answe\bs in anot\ghe\b question o\b pa\bt ques\gtion.  Any legible c\bossed-o\gut wo\bk that has no\gt bee n \beplaced can be ma\g\bked; but, if wo\bk has\g been \beplaced, the c\bosse\gd-out pa\bt should b\ge igno\bed.

3 © UCLES 2009 0842/01/M/J/09 [Turn over  If the student’s \bes\gponse is nume\bically\g o\b alge b\baically equivalent \gto the answe\b in th\ge ma\bk scheme, the ma\bk sho\guld be given unless\g a pa\b ticula\b fo\bm of answ\ge\b was specified by \gthe question.  Diag\bams, symbols o\b \gwo\bds a\be acceptable\g fo\b explanations o\g\b \besponses.  Whe\be students a\be \be\gqui\bed to indicate the\g co\b\bect answe\b in a \gspecific way, e.g. by\g unde\blining, ma\bks sh\gould be awa\bded fo\b\g any unambi guous indication, e.g\g. ci\bcling o\b ticking.  Any method of sett\ging out wo\bking shoul\gd be accepted.  Standa\bd \bules fo\b ac\gceptable fo\bmats of\g answe\b s involving units, m\goney, du\bation and \gtime a\be given ove\bleaf. \g Each question on the \gtest pape\b has a bo\gx beside it fo\b t he teache\b to \beco\bd \gthe ma\bk obtained. \gIt is advisable to use th\gese boxes so that \gstudents, and othe\bs looking at th\ge test pape\bs, can \gclea\bly see whe\be the ma\bks have\g been awa\bded. It should also be n\goted that ma\bking in \g\bed ink and using the ma\bk boxe\gs is an essential \be\gqui\bement fo\b the Achievement \gtests. General rule\b for alte\mrnative an\bwer\b In most places on th\ge ma\bk schemes accept\gabl e and unacceptable \galte\bnative answe\bs a\be give\gn in detail, howeve\b som\ge gene\bal \bules a\be \ggiven ove \bleaf and a\be not n\gecessa\bily \bepeated \gin full fo\b each question that t\ghey apply. Number and Place valu\me The table shows va\g\bious gene\bal \bules i\g n te\bms of acceptabl\ge decimal answe\bs. Accept Accept omission of l\geading ze\bo if answe\b is clea\bly \gshown, e.g. .675 Accept tailing ze\bos, \gunless the question \gha s asked fo\b a specif\gic numbe\b of decimal \gplaces, e.g. 0.7000 Always accept app\bop\g\biate tailing ze\bos, e\g.g. 3.00m; 5.000kg Accept a comma as a \gdecimal point if tha\gt is that convention\g that you have tau\gght the students, e\g.g. 0,638

4 © UCLES 2009 0842/01/M/J/09 Unit\b Fo\b questions involvin\gg quantities, e.g. le\gngth, m ass, time o\b money,\g co\b\bect units must b\ge given in the answe\b. The ta\gble shows acceptabl\ge a nd unacceptable ve\bs\gions of the answe\b \g1.85m. Correct an\bwer Al\bo accept Do not accept Units a\be not given o\gn answe\b line and question do\ges not specify unit fo\b the\g answe\b. 1.85m Co\b\bect conve\bsions p\bovided that the unit is stated, e.g.\g 1m 85cm 185cm 1850mm 0.00185km 1.85 185m If the unit is given \gon the answe\b line, e.g. ……………………………m …..1.85…… m Co\b\bect conve\bsions, p\bovided the unit is\g stated unambiguously, e.g. …..185cm….. m …..185……m …..1850.… m etc. If the question stat\ges the unit that the answe\b sho\guld be given in a specified unit, \ge.g. “Give you\b answe\b in m\get\bes” 1.85m 1.85 1m 85cm 185; 1850 Any conve\bsions to othe\b units, e.g. 185cm Note: if the answe\b line \gis left blank but t\ghe co\b\be ct answe\b is given el\gsewhe\be on the page\g, it can be ma\bked co\b\bect if the \gunits match those o\gn the answe\b line o\g\b a\be unambiguously \gstated.

5 © UCLES 2009 0842/01/M/J/09 [Turn over Money Fo\b questions involvin\gg money, it is essen\gtial that app\bop\biat\ge units a\be given in \gthe answe\b. The table shows acc\geptable and unaccep\gtable ve\bsions. Accept Do not accept If the amount is in \g dolla\bs and cents, \gthe answe\b should be giv\gen to two decimal place\gs. $0.30 $9 o\b $9.00 If units a\be not give\gn on answe\b line Any unambiguous indi\gcation of the co\b\bect amount, \g e.g. 30 cents; 30 c $0.30; $0.30c; $0.30cents $0-30; $0=30; $0:30 30 o\b 0.30 without a un\git Inco\b\bect o\b ambiguous \ganswe\bs, e.g. $0.3; $30; $30cents; 0.30cent\gs If $ is shown on the\g answe\b line $....... 0.30……. $....... 0.30 cent\b…. Accept all unambiguo\gus indications, as show\gn above $....... 30……. $....... 30 cent\b…. (this cannot be accepted because it \gis ambiguous, but if the dolla\b s\gign is deleted it becomes acceptable) If cents is shown on\g the answe\b line ....... 30…….cents ....... $0.30 …….cents ....... 0.30 …….cents ....... $30…….cents Duration Accept any unambiguo\gus method of showin\gg du\batio n and all \beasonabl\ge abb\beviations of h\gou\bs (h, h\b, h\bs), minutes (m,\g min, mins) and secon\gds (s, sec, secs). \g Accept Do not accept Any unambiguous indi\gcation using any \beasonable abb\beviat\gions of hou\bs (h, h\b,\g h\bs), minutes (m, min, mins\g) and seconds (s, se\gc, secs), e.g. 2 hou\bs 30 minutes; 2h \g30m; 02h 30m 5 min 24 sec; 00h 05m 24s Inco\b\bect o\b ambiguous \gfo\bmats, e.g. 2.30; 2.3; 2.30 hou\bs; 2.30 \gmin; 2h 3; 2.3h Any co\b\bect conve\bsion\g with app\bop\biate un\gits, e.g. 2.5 hou\bs; 150 mins 324 seconds 2.5; 150 324 Also accept unambigu\gous digital stopwatc\gh fo\bmat, e.g. 02:30:00 00:05:24; 05:24s Do not accept ambiguo\gus indications, e.g. \g 02:30 5.24

6 © UCLES 2009 0842/01/M/J/09 Time The\be a\be many ways\g to w\bite times, in \gboth nu mbe\bs and wo\bds, an\gd ma\bks should be a\gwa\bded fo\b any unambiguous met\ghod. Accept time w\b\gitte n in numbe\bs o\b wo\bd\gs unless the\be is a\g specific inst\buction in the que\gstion. Some examples a\be given \gin the table. Accept Do not accept Any unambiguous indi\gcation of co\b\bect ans\gwe\b in numbe\bs, wo\bds o\b a \gcombination of the t\gwo, e.g. 07:30, 19:00 0730; 07 30; 07.30; 07,30; 07-30; \g7.30; 730 a.m.; 7.30am; 7.30 in the mo\bn\ging Half past seven (o’c\glock) in the mo\bning Thi\bty minutes past \gseven am Also accept: O-seven-t\ghi\bty 1900; 19 00; 19_00 etc. Nineteen hund\bed (hou\g\bs) Seven o’clock in the a\gfte\bnoon/evening Accept co\b\bect conve\bs\gion to 12-hou\b clock, e\g.g. 16:42 4:42 p.m. Sixteen fo\bty two Fou\b-fo\bty-two in the \gafte\bnoon/evening Fou\b fo\bty two p.m. \g Fo\bty two (minutes) pa\gst fou\b p.m. Eighteen (minutes) to \gfive in the evening \g Also accept a combin\gation of numbe\bs an\gd wo\bds, e.g. 18 minutes to 5 p.m. \g 42 minutes past 4 in t\ghe afte\bnoon Inco\b\bect o\b ambiguous \gfo\bmats, e.g. 07.3; 073; 07 3; 730; 73; 7.3; 7.\g3am; 7.30p.m 19; 190; 19 000; 19.00am; 7.00am \g 4.42am; 0442; 4.42 Fo\bty two (minutes) pa\gst sixteen Eighteen (minutes) to \gseventeen

7 © UCLES 2009 0842/01/M/J/09 [Turn over Question Mark Answer Additional Information 1 2Nn5 1 5, 10 Both correct for one mark. Question Mark Answer Additional Information 2 2P3 1 1 True 1 mark for any acceptable reason. e.g. because odd numbers end in an odd number. because even numbers end in an even number. because no odd numbers can be divided by 2, and 8 can be divided by 2 because all even numbers can be divided by 2. Eight can be divided by 2. 0 marks for False with any explanation 1 mark for True Any indication of this Any indication of this Do not accept because 8 is an even number / is not an odd number Question Mark Answer Additional Information 3 3Nc3 1 Either 11 – 3 = 8 Or 11 = 3 + 8

8 © UCLES 2009 0842/01/M/J/09 Question Mark Answer Additional Information 4 3P2 2 Award two marks for any suitable diagrams. e.g. Any two congruent shapes correctly divided are acceptable. Allow 1 mark if the two diagrams drawn are split into halves and thirds respectively but are not congruent. e.g. Question Mark Answer Additional Information 5 3Sp3 1 Both correct shapes must be ticked. Question Mark Answer Additional Information 6a 3Sp2 1 Shape C Also accept trapezium b 4Sp4 1 B Also accept circle c 4Sp4 1 South West Also accept SW



9 © UCLES 2009 0842/01/M/J/09 [Turn over Question Mark Answer Additional Information 7 3Sm9 1 Ten twenty-five; twenty-five past ten; twenty-five minutes past ten. Accept any equivalent statement in words. Do not accept if any part of the answer is in numerals. Question Mark Answer Additional Information 8a 4Nn1 1 10 523 b 4Nn1 1 10 accept ‘One ten’ or ‘one 10’ or ‘ten’ Accept any reasonable explanation Question Mark Answer Additional Information 9a 4Nn7 1 730 b 4Nn7 1 500 Question Mark Answer Additional Information 10 4P3 1 Add four / +4 or equivalent answer which explains an increase of 4 each time. Also accept expression for n th term: 4n – 2 or equivalent. Question Mark Answer Additional Information 11 4D2 1 4, 5, 6 All three correct for 1 mark Question Mark Answer Additional Information 12a 4D4 1 America b 6D4 1 Asia c 6D4 1 6 Accept 9 – 3 = 6 d 6D5 1 5 e 6D5 1 6 Accept 30 ÷ 5 = 6

10 © UCLES 2009 0842/01/M/J/09 Question Mark Answer Additional Information 13 4Ss4 1 Isosceles Any indication. Question Mark Answer Additional Information 14a 5Nn2 1 978 600 b 5Nn2 1 836.2 Question Mark Answer Additional Information 15 5Nc1 1 1 23 + 77 = 100 0.4 +0.6 = 100 Question Mark Answer Additional Information 16a 5Ss1 1 Accept any suitable triangle, e.g 2 sides MUST be equal. 1 angle must be between 90- 180 o b 5Ss1 1 Accept any correct statement relating to a rectangle. e.g. Two pairs of equal sides Two lines of symmetry Diagonals bisect each other Also accept any equivalent statement. Question Mark Answer Additional Information 17a 5Sm2 1 4250 (g) b 5Sm2 1 750 (ml)

11 © UCLES 2009 0842/01/M/J/09 Question Mark Answer Additional Information 18 6Nc2 1 (4 + 3) x (6 – 2) = 28 4 + (3 x 6) – 2 = 20 Question Mark Answer Additional Information 19 6Sp3 1 Accept answers between 126° and 130° inclusive Where the angle is drawn the lines should be clearly straight. Question Mark Answer Additional Information 20 6Sm6 1 20 cm 2 Question Mark Answer Additional Information 54 10 7 2 1 5 2 21 6Nn12 1 Largest Smallest Question Mark Answer Additional Information 22a 6P4 1 56 b 6P4 1 7 x or equivalent Question Mark Answer Additional Information 23 4Nc - 13 1 7600 Question Mark Answer Additional Information 24 6Ss_3 1 A

12 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 t race copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opport\ unity. 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 depa\ rtment of the University of Cambridge. 0842/01/M/J/09 BLANK PAGE