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This document consists of 12 printed pages. IB08 06_0842_01/MS © UCLES 2008 [Turn over *3973966880* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Primary Achievement Test MATHEMATICS 0842/01 Paper 1 May/June 2008 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 2008 0842/01/M/J/08 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 question o\b pa\bt question tha\gt the child answe\bed\g inco\b\bectly, all avai\glable ma\bks can be a\gwa\bded fo\b the latt\ge\b question if app\bop\g\biate 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 child’s wo\bking to det\ge\bmine whethe\b c\bedit\g should be given o\b \gnot.  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 child has give\gn mo\be than one ans\gwe \b, the ma\bks can be \gawa\bded if all the \ganswe\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 child has unde\bstood\g the \bequi\bements of \gthe 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 child \ghas made t he e\b\bo\b when copying\g the answe\b onto th\ge answe\b line. If the\g inco\b\bect final answ\ge\b is the \b esult of \bedundant \gadditional wo\bking af\gte\b the co\b\bect answe\b ha\gd been \beached, the\g m a\bks can be awa\bded \gp\bovided the ext\ba w\go\bk does not cont\badict \gthat al\beady done. \g

3 © UCLES 2008 0842/01/M/J/08 [Turn over  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.  If the child’s \bespon\gse is nume\bically o\b \gal geb\baically equivalent\g to the answe\b in t\ghe 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 unamb iguous indication, e.\gg. 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.

4 © UCLES 2008 0842/01/M/J/08 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 child\ben, e.\gg. 0,638 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 2008 0842/01/M/J/08 [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

6 © UCLES 2008 0842/01/M/J/08 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; 150 304 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

7 © UCLES 2008 0842/01/M/J/08 [Turn over 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

8 © UCLES 2008 0842/01/M/J/08 Question Mark Answer Additional information 1 2Nn5 2 36 68 83 54 91 49 9017 25 5175 32 All 7 circles correct – 2 marks – with no wrong. 6 circles correct – 1 mark – with one wrong. Question Mark Answer Additional information 2 3Nn13 1 1 3 3 9 1 4 3 4 6 8 2 4 1 2 2 8 Question Mark Answer Additional information 3 3Nc9 2 10 2 marks for correct answer 1 mark can be awarded if evidence of: 43÷4=10 rem.3 or 43 ÷4=10.75

9 © UCLES 2008 0842/01/M/J/08 [Turn over Question Mark Answer Additional information 4 3P4 1 I think Monty is wrong because The explanation should include the statement that: $1.00-72c=28c (not 18c) or 72c+18c=90c or 72c+28c=100c ($1) or $1.00-28c=72c The mark is given for the word “wrong” and the explanation. Question Mark Answer Additional information 5 a 3P2 1 10 b 3P2 1 6 Question Mark Answer Additional information 6 3D1 1 16 Question Mark Answer Additional information 7 3Ss3 1

Both correct for answer. No other ticks Question Mark Answer Additional information 8 3Sp2 1 West

10 © UCLES 2008 0842/01/M/J/08 Question Mark Answer Additional information 9 3Sm7 1 2 ½ 2.5 2 60 30 Accept “two and a half”, also 2 (two) minutes 30 (thirty) seconds. Question Mark Answer Additional information 10 4Nn9 1 17 11 5 -1 -7 -13 Both correct for mark. Question Mark Answer Additional information 11 a 4Nn13 1 2/6 Also accept 1/3 b 4Nn13 1 1 3/4 Also accept 1 6/8 Question Mark Answer Additional information 12 a 4Nc9 1 56 b 4Nc13 1 2400 Question Mark Answer Additional information 13 4Nc7 1 12 Question Mark Answer Additional information 14 a 4P1 1 36 b 4P1 1 224 Question Mark Answer Additional information 15 a 4P5 1 $34.95 b 4P5 1 $19.50 Accept $19.5

11 © UCLES 2008 0842/01/M/J/08 [Turn over Question Mark Answer Additional information 16 a 4D1 1 25 b 4D1 1 50 Question Mark Answer Additional information 17 4Ss5 1 S The shape must be accurate enough to show the student understands this reflection. Question Mark Answer Additional information 18 a 4Sp9 1 45 b 4Sp10 1 a c d b Question Mark Answer Additional information 19 a 4Sm9 1 58 minutes b 4Sm9 1 6 minutes Accept if 19a-52=19b Question Mark Answer Additional information 20 a 5Nn16 1 62 b 5Nn16 1 37 Question Mark Answer Additional information 21 a 5Nc3 1 9320 b 5Nc3 1 12194 (also give 1 mark if (a) is wrong but (b) = a + 2874)

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. © UCLES 2008 0842/01/M/J/08 Question Mark Answer Additional information 22 5P4 1 “Five lots of b are equal to a” Also accept equivalent implying that a is equal to five times b; or a is five times bigger than b; or five times b makes a; also accept answers including an example in addition to the explanation, e.g. If a equals 10, b equals 2, because 5 times 2 = 10. Question Mark Answer Additional information 23 a 6D5 1 47.6 b 6D5 1 47 Question Mark Answer Additional information 24 5Ss5 1 Drawing must be accurate enough to show that the student understands this translation. Question Mark Answer Additional information 25 6Sp5 1 32 Question Mark Answer Additional information 26 6Sm2 1 345