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This document consists of 13 printed pages and 3 blank pages. IB09 11_0842_01/MS © UCLES 2009 [Turn over *3164743961* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Primary Achievement Test MATHEMATICS 0842/01 Paper 1 October/November 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/MS/O/N/09 Mathemati\bs mark s\bhem\–es – A\bhievement Test \– Guidelines for marki\–ng test papers These ma\bk schemes a\g\be designed to p\bovid\ge you with all the \ginfo\bmation necessa\by\g to ma\bk the P\bima\by \g Mathematics Achievem\gent Tests. As fa\b \gas possible, the ma\g\bk schemes give you f\gull guidance \bega\bding\g acceptable and unacc\geptable alte\bnative\g answe\bs and, whe\be\g app\bop\biate, include\g examples of stude\gnt wo\bk to illust\bate the m\ga\bking points. Howev\ge\b, it is not always\g possible to p\bedict\g all the alte\bnativ\ge answe\bs that may be p\boduced by \gstudents and the\be \gcould be places whe\g\be the ma\bke\b will ha\gve to use thei\b p\bof\gessional judgement. In these\g cases it is essenti\gal that such judgeme\gnt be applied consis\gtently. The guidelines below\g should be followe\gd th\boughout (unless the mark s\bheme\– states otherwise):  A co\b\bect answe\b shou\gld always be awa\bde\gd full ma\bks even if\g the wo\bking shown is\g w\bong.  Whe\be mo\be than one \gma\bk is available fo\g\b a question the ma\bk\g scheme explains wh\ge\be each ma\bk should be awa\bded. \g In some cases ma\bks \ga\be available fo\b de\gmonst\bation of the \gco\b\bect method even \g if the final answe\b \gis inco\b\bect. The me\gthod ma\bks can be aw\ga\bded if the co\b\bect \gmethod is used but \ga mistake has been ma\gde in the calculatio\gn, \besulting in a w\bo\gng answe\b. Method \gma\bks can also be awa\bded if the calcu\glation is set up an\gd pe\bfo\bmed co\b\bectly\g but inco\b\bect values\g have been used, e\g.g. due to mis\beading th\ge question o\b a mista\gke ea\blie\b in a se\bies\g of calculations.  If a question uses t\ghe answe\b to a p\bev\gious question o\b pa\bt\g question that the s\gtudent answe\bed 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\b\ge pe\bfo\bmed co\b\bectly u\gsing the value ca\b\bie\gd fo\bwa\bd. Places w\ghe\be such conside\bati\gon should be made \g a\be indicated in the \gma\bk schemes. In the\gse cases, it is not \gpossible to p\bovide \gall the alte\bnative\g acceptable answe\bs a\gnd the ma\bke\b must f\gollow the student’s\g wo\bking to dete\bmine\g whethe\b c\bedit should be given o\b n\got.  Half ma\bks should n\got be awa\bded and a\gt no point should a\gn answe\b be awa\bded\g mo\be than the maximum numbe\b of m\ga\bks available, \bega\b\gdless of the quality\g of the answe\b.  If the student has \ggiven mo\be than one \ganswe\b, the ma\bks ca\gn be awa\bded if all\g the answe\bs given a\g\be co\b\bect. Howeve\b, if\g co\b\bect and inco\b\bect \ganswe\bs a\be given to\ggethe\b, ma\bks should\g not be awa\bded (ma\bks fo\b co\b\bect wo\bki\gng out can still be \ggained).  If the answe\b line is\g blank but the co\b\be\gct answe\b is given el\gsewhe\be, e.g. an an\gnotation on a g\baph \go\b at the end of the \gwo\bking out, the ma\bk\gs can be awa\bded p\bo\gvided it is clea\b tha\gt the student has \g unde\bstood the \bequi\b\gements of the quest\gion.  If the \besponse on t\ghe answe\b line is in\gco\b\bect but the co\b\bec\gt answe\b is shown e\glsewhe\be, full ma\bks\g can still be awa\bded\g if the student has\g made the e\b\bo\b when\g copying the answe\b \gonto the answe\b lin\ge. If the inco\b\bect final\g answe\b is the \besul\gt of \bedundant addi\gtional wo\bking afte\b \gthe co\b\bect answe\b ha\gd been \beached, the m\ga\bks can be awa\bded \gp\bovided the ext\ba w\go\bk does not cont\bad\gict that al\beady done.

3 © UCLES 2009 0842/01/MS/O/N/09 [Turn over  Each question and pa\b\gt question should be\g conside\bed independ\gently and ma\bks fo\b \gone question should not be disal\glowed if they a\be co\gnt\badicted by wo\bking \go\b answe\bs in anothe\g\b question o\b pa\bt question.  Any legible c\bossed-o\gut wo\bk that has no\gt been \beplaced can \gbe ma\bked; but, if wo\g\bk has been \beplaced, the c\bosse\gd-out pa\bt should b\ge igno\bed.  If the student’s \bes\gponse is nume\bically\g o\b algeb\baically equi\gvalent to the answ\ge\b in the ma\bk scheme\g, the ma\bk should be \ggiven unless a pa\bti\gcula\b fo\bm of answe\b\g was specified by th\ge 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 should be awa\g\bded fo\b any unambig\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\bs involving u\gnits, money, du\batio\gn and time a\be given\g ove\bleaf. Each question on the \gtest pape\b has a bo\gx beside it fo\b the \gteache\b to \beco\bd the\g ma\bk obtained. It i\gs advisable to use these boxes\g so that students,\g and othe\bs looking at the test pape\bs\g, can clea\bly see wh\ge\be the ma\bks have been awa\bded. \g It should also be n\goted that ma\bking in \g\bed ink and using the\g ma\bk boxes is an es\gsential \bequi\bement f\go\b the Achievement tests. \g A wo\bking ma\bksheet, \gtogethe\b with inst\buc\gtions fo\b its comple\gtion, is included in \gthis ma\bk scheme. A \g completed copy shou\gld be despatched wi\gth the mode\bation s\gample. General rules for al\–ternative answers In most places on th\ge ma\bk schemes accept\gable and unacceptab\gle alte\bnative answ\ge\bs a\be given in deta\gil, howeve\b some gene\bal\g \bules a\be given ove\g\bleaf and a\be not n\gecessa\bily \bepeated \gin full fo\b each ques\gtion that they apply. Number and Pla\be val\–ue The table shows va\g\bious gene\bal \bules i\gn te\bms of acceptabl\ge decimal answe\bs. A\b\bept Accept omission of l\geading ze\bo if answe\b \gis clea\bly shown, e.\gg. .675 Accept tailing ze\bos, \gunless the question \ghas asked fo\b a spe\gcific numbe\b of decima\gl places, 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 student, e.\gg. 0,638

4 © UCLES 2009 0842/01/MS/O/N/09 Units Fo\b questions involvin\gg quantities, e.g. le\gngth, mass, time o\b money, co\b\bect u\gnits must be given i\gn the answe\b. The table shows acc\geptable and unaccep\gtable ve\bsions of t\ghe answe\b 1.85m. Corre\bt answer Also a\b\bept Do not a\b\bept Units a\be not given o\gn answe\b line and question does no\gt specify unit fo\b the 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. \g …..185cm….. m …..185……m …..1850.… m etc. If the question stat\ges the unit that the answe\b should b\ge given in a specified unit, e.g. \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\bect answe\b is \ggiven elsewhe\be on t\ghe page, it can be m\ga\bked co\b\bect if the units \gmatch those on the \ganswe\b line o\b a\be u\gnambiguously stated\g.

5 © UCLES 2009 0842/01/MS/O/N/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. A\b\bept Do not a\b\bept If the amount is in \gdolla\bs and cents, the answ\ge\b should be given to \gtwo decimal places. $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 \bents…. Accept all unambiguo\gus indications, as show\gn above $....... 30……. $....... 30 \bents…. (this cannot be accepted because it \gis ambiguous, but if\g the dolla\b sign is d\geleted 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\bation an d all \beasonable ab\gb\beviations of hou\bs\g (h, h\b, h\bs), minutes (m, min, mins\g) and seconds (s, se\gc, secs). A\b\bept Do not a\b\bept Any unambiguous indi\gcation using any \beas\gonable abb\beviations of hou\g\bs (h, h\b, h\bs), minut\ges (m, min, mins) and seconds (s,\g sec, 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

6 © UCLES 2009 0842/01/MS/O/N/09 Time The\be a\be many ways\g to w\bite times, in \gboth numbe\bs and wo\g\bds, and ma\bks shoul\gd be awa\bded fo\b an\gy unambiguous method.\g Accept time w\bitten\g in numbe\bs o\b wo\bds\g unless the\be is a \gspecific inst\buction in\g the question. Some exam\gples a\be given in th\ge table. A\b\bept Do not a\b\bept 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/MS/O/N/09 [Turn over Question Mark Answer 1 3Nn1 1 2605 Question Mark Answer 2 3Ss1 1 Both shapes must be ticked to earn the mark. Question Mark Answer 3 3Nc4 1 45 35 Both answers must be correct to earn the mark. Question Mark Answer 4a 3P7 1 11 (cents) b 3P7 1 9 (cents) If part (a) is incorrect, allow 20 – answer from part (a) = correct answer. Question Mark Answer 5 3Sm9 1 Accept any of the following: 5:50 05:50 5:50am 05:50am Do not accept: 17:50 5:50pm 05:50pm Question Mark Answer 6a 4D3 1 80 b 4D3 1 Saturday c 4D3 1 $400

8 © UCLES 2009 0842/01/MS/O/N/09 Question Mark Answer 7 3Nn6 1 Accept any of the following: 7 tens 70 tens 7 × 10 seventy Do not accept: 10 or ‘ten’ Question Mark Answer 8a 3Sp1 1 (3,2) b 3Sp1 1 5 4 3 2 1 12345 1 mark for square (4,5) shaded or otherwise indicated Question Mark Answer 9 3Nc7 1 Accept either 30 ÷ 5 = 6 or 30 ÷ 6 = 5 Question Mark Answer 10 3Nm11 1 400 Question Mark Answer 11a 4Sp10 1 D, B, A, C All in correct order for 1 mark b 4Sp6 1 degrees 1 mark. Also accept °

9 © UCLES 2009 0842/01/MS/O/N/09 [Turn over Question Mark Answer 12 4D5 2 prime not prime odd not odd 3, 5, 7 2 1, 9 4, 6 , 8 All 3 numbers correct earns 2 marks Any 2 numbers correct earns 1 mark. 1 or 0 numbers correct earns 0 marks. Question Mark Answer 13 4Ss2 2 All 3 triangles ticked earns 2 marks. Any 2 triangles ticked earns 1 mark 1 or 0 triangle ticked earns 0 marks. Take one mark off any score for each incorrect triangle selected (minimum 0). Question Mark Answer 14 4Nn15 2 $12 If incorrect, award 1 mark for evidence of either 1 book costs $2 or 12 books cost $24 or 2 books cost $4. Question Mark Answer 15 5Ss2 1 Accept any indication. Question Mark Answer 16 5Nn9 1 81 26 76 45 63 38 All correct for 1 mark. Accept any indication

10 © UCLES 2009 0842/01/MS/O/N/09 Question Mark Answer 17 6Sm2 1 10 (millimetres) 1000 (millilitres) Both sentences must be correct to earn the mark. Question Mark Answer 18a 5P2 1 b 5P2 1 21 c 5P2 1 Accept equivalent answers to “double the pattern number plus one” 2p + 1 Question Mark Answer 19 6Nn20 1 ($)125 1 mark Question Mark Answer 20 6Nc8 2 26 312 If final answer incorrect award 1 mark for evidence of a complete method with no more than one computational error. Question Mark Answer 21 5Ss5 1 (triangle) C Question Mark Answer 22 6Nn19 1 60%

11 © UCLES 2009 0842/01/MS/O/N/09 Question Mark Answer 23 6P6 2 200 (matches) If answer is incorrect award 1 mark for evidence of a complete correct method. For example, 480 ÷ 12 x 5 or if answer is incorrect award 1 mark for 40. Question Mark Answer 24 6P2 2 × 15 3 63 5 2 marks for all four correct 1 mark for two or three correct Question Mark Answer 25 5Nc16 2 Sum Difference 625 265

12 © UCLES 2009 0842/01/MS/O/N/09 BLANK PAGE

13 © UCLES 2009 0842/01/MS/O/N/09 BLANK PAGE

14 Permission to reproduce items where thir d-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publis her (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 opport\ unity. University of Cambridge International Examinations is part of t he 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 2009 0842/01/MS/O/N/09 BLANK PAGE

0842/1/CW/S CAMBRIDGE INTERNATIONAL PRIMARY PROGRAMME ACHIEVEMENT TEST – MATHEMATICS PAPER 1 NOVEMBER 2009 0842/01 Please read the instructions printed overleaf before completing this form. Centre Number Centre Name Question Number Total Mark Candidate Number Candidate Name 1 2 3 4a 4b 5 6a 6b 6c 7 8a 8b 9 10 11a 11b 12 13 14 15 16 17 18a 18b 18c 19 20 21 22 23 24 25 max 39 Teacher completing this form (BLOCK CAPITALS) Date Name of moderator (BLOCK CAPITALS) Date

16 0842/1/CW/S A. INSTRUCTIONS FOR COMPLETING WORKING MARK SHEET 1. Complete the information at the head of the form. 2. List the candidates in an order which will allow ease of transfer of information to a computer-printed mark sheet (MS1) at a later stage (i.e. in candidate index number order, where this is known). 3. Enter each candidate’s mar ks on this form as follows: a) In the question columns, enter the marks awarded. b) In the columns headed ‘Total Mark ’, enter the total mark awarded. 4. Ensure that the addition of marks is independently checked. 5. Both the teacher completing this form and the internal moderator should check the form and complete the bottom portion. B. PROCEDURES FOR EXTERNAL MODERATION 1. University of Cambridge International Examinations (CIE) sends a computer-printed mark sheet (MS1) to each centre showing the name and index number of each candidate. Transfer the total internally moderated mark for each candidate from this WORKING MARK SHEET to the computer-printed mark sheet (MS1). 2. Despatch the top copy of the co mputer-printed mark sheet (MS1) to CIE. The deadlines for re ceipt of this completed document are 15 June for the June examination and 16 November for the November examination. 3. Send samples of the candidates’ work covering the full ability range, together wit h this form and the second copy of MS1, by 15 June for the June examination and 16 November for the November examination. 4. If there are 10 or fewer candidates entering the Achi evement Test, send all the sc ripts for every candidate. 5. If there are more than 10 candidates, send the scripts that contributed to the final mark for the number of candidates as follows. The marks of the candidates’ work selected should cover the whole mark range with ma rks spaced as evenly as possible from the top mark to the lowest mark. number of candidates entered number of candidates whose work is required 11-50 51-100 above 100 10 15 20 6. If different teachers have prepared classes, select the samples from the classes of different teachers. 7. CIE reserves the right to ask for further samples of scripts.