1
eb o
ok
I NTERNATIONAL MATHEMATICS OLYMPIAD
CLASS
3
5
Years (2011-2015) Solved Papers
INSTANT
Copyright © 2016 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. No part of this publication may be r eproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Ownership of an ebook does not give the possessor the ebook copyright. All disputes subject to Delhi jurisdiction only.
Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.
Published by : MTG Learning Media (P) Ltd. Corporate Ofce : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana-122003. Phone : 0124 - 6601200 Web: mtg.in Email:
[email protected] Regd. Ofce : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029
Visit
www.mtg.in for buying books online.
CLASS 3
Contents Â
5th IMO 2011
Â
6th IMO 2012 - SET A
Â
6th IMO 2012 - SET B
Â
7th IMO 2013 - SET A
Â
7th IMO 2013 - SET B
Â
8th IMO 2014 - SET A
Â
8th IMO 2014 - SET B
Â
9th IMO 2015 - SET A
Â
9th IMO 2015 - SET B
MTG WORKB OOK S / OLYMPIAD BOOKS CLASS 1
International English Olympiad
National Science Olympiad
International Mathematics Olympiad
Learning Science
Learning Mathematics
Reasoning
Learning & Knowing
Learning Computers
Anubhuti
CLASS 2
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
Learning Computers
Learning Science
Learning Mathematics
Learning & Knowing
Reasoning
Anubhuti
MTG WORKB OOKS / OLYMPIAD BOOKS
CLASS 3
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
Learning Computers
Learning Science
Learning Mathematics
Learning & Knowing
Reasoning
Anubhuti
CLASS 4 CLASS 3
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
Reasoning
Learning Computers
Learning Science
Learning Mathematics
Learning & Knowing
Anubhuti
Class 3 5th
Year 2011
문 ×ÓÑ ó îðïï
î
ÍÛÝÌ×ÑÒ × æ ÔÑÙ×ÝßÔ ÎÛßÍÑÒ×ÒÙ
øß÷
øÞ÷
øÝ÷
øÜ÷
øß÷ ìëé
øÞ÷ ìéë
øÝ÷ ëìé
øÜ÷ éìë
øß÷ ïî
øÞ÷ ïí
øÝ÷ ïê
øÜ÷ ïè
øß÷ ïêëè
øÞ÷ ïëêè
øÝ÷ îëêè
øÜ÷ îêëè
îò
øß÷ ï-¬ øÞ÷ î²¼ øÝ÷ í®¼ øÜ÷ 쬸 ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
문 ×ÓÑ ó îðïï
í
øß÷
øÞ÷
øÝ÷
øÜ÷
øß÷
øÞ÷
øÝ÷
øÜ÷
øß÷ é ½»²¬·³»¬®»-
øÞ÷ ç ½»²¬·³»¬®»-
øÝ÷ ïî ½»²¬·³»¬®»-
øÜ÷ í ½»²¬·³»¬®»-
çò øß÷ Û¯«¿´ ¬± øÞ÷ Ô·¹¸¬»® ¬¸¿² øÝ÷ Ø»¿ª·»® ¬¸¿² øÜ÷ Ý¿²²±¬ ¾» ¼»¬»®³·²»¼
îð øß÷ Þ´±½µ Ð
îî
Ð
øÞ÷ Þ´±½µ Ï
Ï
Î
Í
øÝ÷ Þ´±½µ Î
ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
íè øÜ÷ Þ´±½µ Í
문 ×ÓÑ ó îðïï
øß÷ é øÞ÷ ç øÝ÷ ïð øÜ÷ ïï `
øß÷
`
øÞ÷
øÝ÷
øÜ÷
øß÷
øÞ÷
øÝ÷
øÜ÷
øß÷ é
øÞ÷ ïë
øÝ÷ îì
øÜ÷ îè
øß÷ ïëô ë øÞ÷ ìô ïì øÝ÷ ëô ïê øÜ÷ ïô ïì
ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
문 ×ÓÑ ó îðïï
øß÷ êôðéê ä ëôðéð øÝ÷ êôðéê â ëôðéð
øÞ÷ êôðéê ã ëôðéð øÜ÷ Ò±²» ±º ¬¸»-»
øß÷ ë
îë ã
øÞ÷ ë õ ë ã
øÝ÷ ë
ëã
øÜ÷ ë – ë ã
ï
î
í
è
ç
ïð
îï
îî
îí
îè
îç
íð
øß÷ Ò±ª»³¾»® ì
ïê
øÞ÷ Ò±ª»³¾»® ïê øÝ÷ Ò±ª»³¾»® îí øÜ÷ Ò±ª»³¾»® ç ì ê
øß÷
øÞ÷
øÝ÷
øÜ÷
ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
ê ïï ïè
ïî ïç îê
ïí îð
문 ×ÓÑ ó îðïï
ê
øß÷ ïíð ³·²«¬»-
øÞ÷ çð ³·²«¬»-
øÝ÷ íð ³·²«¬»-
øÜ÷ ìë ³·²«¬»-
øß÷ ïî – í ã øÞ÷ ïî õ í ã øÝ÷ ïî í ã øÜ÷ ïî
íã
øß÷ íì øÝ÷ ïé
øÞ÷ îê øÜ÷ îè
è
è ã
øß÷ ë
øÞ÷ ê
øÝ÷ é
øß÷ ë ¹®¿³øÝ÷ îë ¹®¿³-
øÞ÷ ïë ¹®¿³øÜ÷ îð ¹®¿³ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
øÜ÷ ì
문 ×ÓÑ ó îðïï
øß÷ ìè
øÞ÷ èç
øÝ÷ ïï
øÜ÷ çç
øß÷ ïçéî ¿²¼ ïçèë
øÞ÷ ïçéé ¿²¼ ïçèê
øÝ÷ ïçéé ¿²¼ ïççð
øÜ÷ ïçèë ¿²¼ ïççê
øß÷ ëì
øÞ÷ êí
øÝ÷ ç
øÜ÷ éî
øß÷ êíç
øÞ÷ êîç
øÝ÷ ëìç
øÜ÷ ëíç
øÝ÷ ìð – ïî ã
øÜ÷ Ò±²» ±º ¬¸»-»
øß÷
– ìð ã ïî
øÞ÷
– ïî ã ìð
øß÷ îéð
øÞ÷ îêï
øÝ÷ îêð
øÜ÷ îèð
øß÷ ײ ç ¼¿§-
øÞ÷ ײ ï𠼿§-
øÝ÷ ײ êé ¼¿§-
øÜ÷ ײ èí ¼¿§-
ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
문 ×ÓÑ ó îðïï
è
`
øß÷ îð
øß÷ îè
ì
øÜ÷ îð – ì
øÞ÷ îð õ ì
øÝ÷ îð
øÞ÷ íê
øÝ÷ ìð
øÜ÷ ëç
øÞ÷ íð
øÝ÷ îð
øÜ÷ ïé
ì
øß÷ ïñí øÞ÷ ïñî øÝ÷ îñí øÜ÷ îñë
øß÷ ëð
ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
îðò ɸ·½¸
Class 3 6th
Set A Year 2012
î
ꬸ ×ÓÑ ó ÍÛÌ ß
ÍÛÝÌ×ÑÒ × æ ÔÑÙ×ÝßÔ ÎÛßÍÑÒ×ÒÙ ïò ̸» ³·--·²¹ ²«³¾»®- ·² ¬¸» ¾¿²²»®- ·- ÁÁÁ ÁÁò
øß÷ ïîô îð
øÞ÷ ïêô ïè
øÝ÷ îðô ïé
øÜ÷ ïèô ïê
îò ß ¾¿-»¾¿´´ ·- -¸±©² ¸»®»ò í
ɸ·½¸ ±º ¬¸»-» -¸±©øß÷
ë
¾¿-»¾¿´´- ±º ¬¸» ¬±¬¿´ ¾¿´´-á øÞ÷
øÝ÷ øÜ÷
íò ̸» ²«³¾»® ±º °±--·¾´» ½±³¾·²¿¬·±²- º±®³»¼ ¾§ ¬¸®»» ¾±§- ¿²¼ ¬¸®»» ¹·®´- ·- ÁÁÁÁÁÁÁò øß÷ ïî øÞ÷ í øÝ÷ ç øÜ÷ ê ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
Þ¿-»¾¿´´
í
ꬸ ×ÓÑ ó ÍÛÌ ß ìò Ú´·°°·²¹ ¬¸» ¹·ª»² ·³¿¹» ±ª»® ¬¸» ¼±¬¬»¼ ´·²» ©±«´¼ ¹·ª» ÁÁÁÁÁÁÁò
øß÷
øÞ÷
øÝ÷
øÜ÷
øß÷
øÞ÷
øÝ÷
øÜ÷
êò α¸·¬ -¬®·µ»- ¿ °±±´ ¾¿´´ò ̸» ¹·ª»² °·½¬«®» -¸±©- ¬¸» °¿¬¸ ±º ¬¸» ¾¿´´ò ر© ³¿²§ ¬·³»- ¼±»- ¬¸» ¾¿´´ ¸·¬ ¬¸» ¬¿¾´» -·¼»- ¾»º±®» ´¿²¼·²¹ ·² ¿ °±½µ»¬á øß÷ é øÞ÷ ë øÝ÷ ì øÜ÷ ê éò ̸» °®±¼«½¬ ±º ¬¸» -³¿´´»-¬ ±²» ¼·¹·¬ ²«³¾»® ©·¬¸ ¬¸» -«³ ±º ¹®»¿¬»-¬ ¿²¼ -»½±²¼ ¹®»¿¬»-¬ ²«³¾»® ·² ¬¸» ¹·ª»² ¾±¨ ·- ÁÁÁò øß÷ ð øÞ÷ ï øÝ÷ î øÜ÷ ïé ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
ì
ꬸ ×ÓÑ ó ÍÛÌ ß
èò Ò«³¾»® ±º ½±®²»®- í -¯«¿®»- ¿²¼ ì ¬®·¿²¹´»- ¸¿ª» ·- ÁÁÁÁÁò øß÷ îí øÞ÷ îì øÝ÷ îð
øÜ÷ ïè
çò Ò«³¾»® ±º ¼·ºº»®»²¬ ©¿§- οª· ½¿² ½¸±±-» ¬± ¹± º®±³ ر³» ¬± ͽ¸±±´ ·- ÁÁÁÁò
øß÷ ì
øÞ÷ í
øÝ÷ ë
øÜ÷ ê
øß÷
øÞ÷
øÝ÷
øÜ÷
ÍÛÝÌ×ÑÒ ×× æ ÓßÌØÛÓßÌ×ÝßÔ ÎÛßÍÑÒ×ÒÙ ï è ë øÝ÷ è
é è í øÜ÷ è
øß÷
øÞ÷
ïîò ͬ«¼§ ¬¸» ¹·ª»² ½´±½µ- ½¿®»º«´´§ò Ü«®¿¬·±² ±º Ò·¼¸·ù- °·¿²± øß÷ ìë ³·²øÞ÷ ï ¸±«® ìð øÝ÷ ï ¸±«® îë øÜ÷ í ¸±«® ëë
´»--±² ·- ÁÁÁÁÁò
³·²³·²³·²-
ïíò Í»ª»² ¬¸±«-¿²¼ ²·²» ¸«²¼®»¼ ¿²¼ »·¹¸¬§ ²·²» -¬¿²¼- º±® ÁÁÁÁÁÁÁÁò øß÷
øÞ÷
øÝ÷ ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
øÜ÷
ë
ꬸ ×ÓÑ ó ÍÛÌ ß Ü×ÎÛÝÌ×ÑÒ øïìóïë÷ æ ̸» ¾¿® ¹®¿°¸ -¸±©- ¬¸» ¿³±«²¬ ±º ³±²»§ Ô¿¬·µ¿ -°»²¬ ·² ë ³±²¬¸-ò
ïìò Ô¿¬·µ¿ -°»²¬ ¬¸» ´»¿-¬ ·² ¬¸» ³±²¬¸ ±º ÁÁÁÁÁÁÁò øß÷ Ö¿²«¿®§ øÞ÷ Ó¿®½¸ øÝ÷ ß°®·´
øÜ÷ Ó¿§
ïëò ͸» -°»²¬ ¬¸» -¿³» ¿³±«²¬ ·² ÁÁÁÁÁÁÁ ¿²¼ ÁÁÁÁÁÁÁò øß÷ Ú»¾®«¿®§ô Ó¿®½¸ øÞ÷ Ö¿²«¿®§ô ß°®·´ øÝ÷ Ö¿²«¿®§ô Ó¿§ øÜ÷ ß°®·´ô Ó¿§ ïêò ﮬ¸ ¸¿- ` ïððð ©·¬¸ ¸·³ò ɸ·½¸ ±º ¬¸» º±´´±©·²¹ ¬©± ¬¸·²¹- ½¿² ¸» ¾«§á øß÷ Ì®±«-»® ¿²¼ Ìó-¸·®¬ øÞ÷ ο½µ»¬ ¿²¼ Ìó-¸·®¬ øÝ÷ Ì®±«-»® ¿²¼ ¿ °¿·® ±º -¸±»øÜ÷ ß °¿·® ±º -¸±»- ¿²¼ ®¿½µ»¬ ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
ê
ꬸ ×ÓÑ ó ÍÛÌ ß
ïéò ɸ¿¬ ²«³¾»® ¼±»øß÷ ïðé øÞ÷ êðð øÝ÷ ìèê øÜ÷ íèê
-¬¿²¼ º±® á
ïèò Ó±¸·¬ °´¿²¬»¼ ¬®»»- ¿¬ »¯«¿´ ¼·-¬¿²½» ¿´±²¹ ±²» -·¼» ±º ¿ -¬®¿·¹¸¬ ®±¿¼ò ̸» ¼·-¬¿²½»
øß÷ ïí ³
øÞ÷ ìð ³
øÝ÷ îð ³
øÜ÷ íî ³
ïçò ̸» °®±¼«½¬ ±º ¬©± ²«³¾»®- ·- îçéçò ׺ ±²» ±º ¬¸» ²«³¾»®- ·- çô ¬¸» ¼·ºº»®»²½» ¾»¬©»»² ¬¸» ¬©± ²«³¾»®- ·- ÁÁÁÁÁò øß÷ íîî
øÞ÷ íìð
øÝ÷ íìç
øÜ÷ ííï
îðò ɸ·½¸ ±º ¬¸» º±´´±©·²¹ ±°¬·±²- ¾»-¬ ®»°®»-»²¬¬¸» ³±¼»´ -¸±©² ·² ¬¸» ¾¿²²»®á øß÷ ç õ é ã øÞ÷ ç I é ã øÝ÷ êí õ ç ã øÜ÷ êí – ç ã îïò ̸» ª¿´«» ±º çç õ èè – éé õ êê – ëë õ ìì – íí õ îî – ïï õ ð õ øïï I ë÷ ·- ÁÁÁÁÁò øß÷ ïïî øÞ÷ ïîð øÝ÷ ïçè øÜ÷ ïîì ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
é
ꬸ ×ÓÑ ó ÍÛÌ ß îîò ̸» ³·--·²¹ ²«³¾»® ·- ÁÁÁÁÁÁò øß÷ ê øÝ÷ ë
øÞ÷ é øÜ÷ í
îíò Í¿²¼¸§¿ ½§½´»¼ º®±³ Ì®»» Þ ¬± Ì®»» Ýò ͸» ¬¸»² ½§½´»¼ º®±³ Ì®»» Ý ¬± Ì®»» ßò ر© º¿® ¼·¼ -¸» ½§½´» ¿´¬±¹»¬¸»®á øß÷ çðí ³ øÞ÷ éèë ³ øÝ÷ ïðîð ³ øÜ÷ êìï ³ îìò ɸ·½¸ ±º ¬¸»-» ¸¿- ¬¸» ´¿®¹»-¬ ª¿´«»á øß÷ î ¬·³»- ±º øë I ë÷ øÞ÷ Ø¿´º ±º ïèð
øÝ÷ ïî I ïí
øÜ÷
ï ±º çîð ì
îëò ̸»®» ¿®» ìðçî °»±°´» ·² ¿ ¬±©²ò ɸ·½¸ ±º ¬¸»-» ·- ¬¸» ²«³¾»® ±º °»±°´» ·² ¬¸» ¬±©²á øß÷ Ú±«® ¿²¼ ²·²»¬§ó¬©± øÞ÷ Ú±«® ¸«²¼®»¼ ²·²»¬§ó¬©± øÝ÷ Ú±«® ¬¸±«-¿²¼ ²·²»¬§ ¬©± øÜ÷ Ú±«® ¬¸±«-¿²¼ô ²·²» ¸«²¼®»¼ ¬©±
ÍÛÝÌ×ÑÒ ××× æ ÛÊÛÎÇÜßÇ ÓßÌØÛÓßÌ×ÝÍ îêò Ú±® »ª»®§ ¾·®¬¸¼¿§ Í¿¸·´ù- °¿®»²¬- °«¬ ¿- ³¿²§ ³±²»§ ·² ®«°»»- ·² ¿ °·¹¹§ ¾¿²µ ¿- ¸·- ¿¹» ·² §»¿®-ò ̸»®» ¿®» ëë ¬±¬¿´ ·² ¬¸» °·¹¹§ ¾¿²µò ر© ±´¼ ·- ¸»á øß÷ ïë §»¿®- ±´¼ øÞ÷ ïî §»¿®- ±´¼ øÝ÷ ïì §»¿®- ±´¼ øÜ÷ ïð §»¿®- ±´¼ îéò Ͳ¿·´ Ð ¬®¿ª»´- ëíí ³ °»® ¼¿§ò Ͳ¿·´ Ï ¬®¿ª»´- éðð ³ °»® ¼¿§ò ر© ³«½¸ ³»¬®»´»-- ©±«´¼ Ͳ¿·´ Ð ¬®¿ª»´ ¬¸¿² Ͳ¿·´ Ï ·² ¿ ©»»µá øß÷ ïïêç ³ øÞ÷ ïîíí ³ øÝ÷ ëíí ³ øÜ÷ ïêé ³ îèò Í¿½¸·² ¸·¬- ïî º±«®- ¿²¼ ê -·¨»-ò ׺ ¸» -½±®»- ¿ ¬±¬¿´ ±º ïðí ®«²-ô ¸±© ³«½¸ ®«²¼±»- ¸» -½±®» ¾§ ®«²²·²¹ ¾»¬©»»² ¬¸» ©·½µ»¬-á øß÷ îï øÞ÷ ïç øÝ÷ èì øÜ÷ íï ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
è
ꬸ ×ÓÑ ó ÍÛÌ ß
îçò Ö»²²§ -¬¿®¬»¼ ¼±·²¹ ¸»® ¸±³»©±®µ ¿¬ éæëð °ò³ò ͸» ¬±±µ îð ³·²«¬»- ¬± ½±³°´»¬» ¸»® ͽ·»²½» ¸±³»©±®µ ¿²¼ ìë ³·²«¬»- ¬± ½±³°´»¬» ¸»® Ó¿¬¸»³¿¬·½- ¸±³»©±®µò ߬ ©¸¿¬ ¬·³» ¼±»- -¸» ½±³°´»¬» ¿´´ ¸»® ¸±³»©±®µá øß÷ èæëð °ò³ò øÞ÷ çæðë °ò³ò øÝ÷ èæëë °ò³ò øÜ÷ èæìë °ò³ò íðò ß²¶¿´·ù- °®»-»²¬ ¿¹» ·- ç §»¿®-ò Ø»® ¾®±¬¸»® ©¿- ¾±®² ©¸»² -¸» ©¿- ë §»¿®- ±´¼ò ɸ¿¬ ·- ¸»® ¾®±¬¸»®ù- ¿¹» ²±©á øß÷ í øÞ÷ î øÝ÷ ì øÜ÷ ë íïò ß °·¦¦¿ ©¿- ½«¬ ·²¬± è »¯«¿´ °·»½»-ò ß²·´ ¿¬» í °·»½»-ò ɸ¿¬ º®¿½¬·±² ±º ¬¸» °·¦¦¿ ·- ´»º¬ ©·¬¸ ¸·³á øß÷
í è
øÞ÷
ì è
øÝ÷
ë è
øÜ÷
í ì
íîò Ù»»¬¿ ¾±«¹¸¬ ç °¿½µ»¬- ±º -©»»¬-ò Û¿½¸ °¿½µ»¬ ½±²¬¿·²- ïîì -©»»¬-ò ͸» ¬¸»² ®»°¿½µ»¼ ¬¸» -©»»¬- »¯«¿´´§ ·²¬± ì °¿½µ»¬-ò ر© ³¿²§ -©»»¬- ¼·¼ -¸» °«¬ ·²¬± »¿½¸ ±º ¬¸» ì °¿½µ»¬-á øß÷ ç øÞ÷ îìè øÝ÷ ïïïê øÜ÷ îéç ííò Ю·§¿ ¸¿- ¿ ¾±¬¬´» ©·¬¸ ¿ ½¿°¿½·¬§ ±º éîê ³Ôò ͸» °±«®»¼ ç -«½¸ ¾±¬¬´»- ±º ©¿¬»® ¬¿²µò ɸ¿¬ ·- ¬¸» ½¿°¿½·¬§ ±º ¬¸» ©¿¬»® ¬¿²µá øß÷ êëíì ³Ô øÞ÷ ïëíì ³Ô øÝ÷ ëððð ³Ô
øÜ÷ êððð ³Ô
íìò Ó»¹¸¿ù- ´»º¬ ¿®³ ·- íè ½³ ´±²¹ò Í¿°²¿ù- ´»º¬ ¿®³ ·- ïë ½³ ´±²¹»® ¬¸¿² Ó»¹¸¿ù-ò ɸ¿¬ ·- ¬¸» ¬±¬¿´ ´»²¹¬¸ ±º ¬¸»·® ´»º¬ ¿®³-á øß÷ ëè ½³ øÞ÷ èï ½³ øÝ÷ ïðï ½³ øÜ÷ çï ½³ íëò Ó®ò Ò·¸¿´ ¸¿- ¿ ´¿®¹» °·»½» ±º ´¿²¼ ¿- -¸±©²ò Ø» ¼·ª·¼»¼ ¬¸» ´¿²¼ ·²¬± º±«® °¿®¬-ô -¸±©² ¾§ ¬¸» ¬©± ¹®»»² ´·²»-ò ɸ·½¸ ±º ¬¸» ³¿®µ»¼ °¿®¬·- ¬¸» ´¿®¹»-¬ á øß÷ Î øÞ÷ Ð øÝ÷ Í øÜ÷ Ï ÍÐßÝÛ ÚÑÎ ÎÑËÙØ ÉÑÎÕ
Class 3 6th
Set B Year 2012
Class 3 7th
Set A Year 2013
Class 3 7th
Set B Year 2013
Figure (X)
2 3 R S + P Q 7 8 5 9 1 0
Class 3 8th
Set A Year 2014
A I
SET 8th
-
MO
1
LOGICAL REASONING 1.
Find the odd one out.
A.
2.
B.
C.
D.
How ma ny tri angles are there in the given gure? A.
26
B. 30 C. 31 D. 32 3.
Which box is the heavi est?
A. 4.
B.
C.
D.
Which of the followi ng opti ons sh ow the m irror i mage of Fig. (X) , if the m irror i s place d along MN ? M
C 7
8
A N
Fig. (X) C
8
C 7
A.
A 8
7
B.
A
7 8
Space for Rough Work
C
A
C.
D. C
A
7 8
th
.
Which gu re com es nex t in the give n gur e patt ern?
A. .
-
B.
Observe the
iven gure
C. arefully and
D.
nswer he question based on it.
Left E
If oldier A. B .
F
C
G
H
B
D
A
L
X
P
nd L nterchange their positions, then who is third to left of F? B. C. G D. C
ind the word that CA NOT be formed from the letters of the given word. A.
8.
CANCEL
B.
NCIT
INTELLIGENCE C. GE TLE
hich of the following shapes is NOT present n the A.
D. NEGLECT
iven gure?
Triangle
B. Square C. Rectangle . Circle .
Find he missing n umber wh ich will replace th e (?).
5
1
3
5
?
4 A.
9
B. 8
C. 10
D. 11
10. f 'Desk' is calle d 'Chair' , 'Chair' is calle d 'Blackbo ard', 'B lackbo ard' is call ed 'Duste r' nd 'Duster' is alled 'Chalk', then where does the eacher rite in the lassroom? A. Desk B. Chair C. uster D. Blackboard Space for Rough Work
th
-
MATHEMATICAL REASONING 11. Study t he number s tatements (I) & (II) below .
1563 + 345 =
I.
2000 –
=
The value of A.
12.
nd ans wer he foll owing q uestion.
908, even
is ______ and it is an ______ number. B.
08, odd
C.
2, even
D. 92, odd
B.
4
C.
9
D.
3
3 P
2 8
9 4
3 9
8
1
4
2
A. 13.
40
ind the value of P. A.
4 +
. 3 C. 5 . 6 14. W hat fraction of the A. C.
iven gure is unshaded?
20 14
.
12 0
.
10 0
5. There are __ ___ tho usands in 964 380. A.
64
B.
8
C. 86 Space for Rough Work
D. 46
8th IMO - SET A
4
16. Which of the following options has the smallest value?
140 tens less than 6 thousands
A.
8 hundreds more than 10 hundreds
B.
9 hundreds + 10 tens – 43 ones
C.
8 tens + 4 thousands + 3 hundreds
D.
17. What would be the total cost of 5 lollipops and 5 candies ? `
5 each `
Lollipops
40 A.
B.
`
30
1 each
Candies
C.
`
55
D.
`
`
45
18. What is the weight of an apple ? A.
100 g
B. 200 g 50 0
0 g 10 0
C. 150 g 40 0 200 300
D. 30 g
19. The showhe Mohit's Howgiven muchclocks time does sleep?sleeping and wake up time.Sleep time A.
Wake up time
6 hours 45 minutes
B. 7 hours 15 minutes C. 8 hours 15 minutes D. 7 hours 45 minutes 20. Which thermometer shows 88 °F ? 90°
A.
80°
°F
90°
B.
80°
°F
90°
C.
80°
°F
90°
D.
80°
70°
70°
70°
70°
60°
60°
60°
60°
Space for Rough Work
°F
A I
SET 8th
-
MO
5
EVERYDAY MATHEMATICS 21. Garima puts 1 54 marbles int o each of her 20 boxes. She has 28 marbles left. How many marbles does she have altogether? A.
3052
B. 3108
22. 6 pens and 3 penci ls cost cost? A.
`
6
B.
`
`
C. 3080 42. If a pencil cost
7
C.
`
`
D. 3256 2, then how much does a pen
4
D.
`
8
23. A toy shop has 1 50 cars and 101 trains. It has 45 more dolls than the number of cars and trains together. How many dolls does the shop have? A.
286
B. 251
C. 296
D. 301
24. On 1 st December, there were 1275 tourists in Kerala. On 2 nd December, 983 more tourists came in, and 1163 left for Goa. How many tourists were there in Kerala on 2 nd December? A.
2095
B. 2258
C. 1195
D. 1095
25. A man buys 45 bana nas for his monkeys every d ay. How many bananas does he buy in the month of September? A.
1285
B. 1350
C. 1850
D. 1395
26. Rohan needs 3 15 earthen lamps to decorate his hou se. The lamps come in boxes of 15. How many boxes should he buy? A.
21
B. 1185
C. 22
D. 4725
27. Nita's doll costs ` 243. Varun's remote-controlled car costs 4 times as much as the doll. How much does Varun's car cost? 246 A.
`
B.
827
`
C.
972 `
D.
`
729
28. My dog weighs 22 kg. Raj's dog is half as heavy as m y dog. What is the weight of Raj's dog? A.
24 kg
B. 11 kg
C. 10 kg Space for Rough Work
D. 44 kg
8th IMO - SET A
6
29. A cow gives 4 L 345 mL of milk on W ednesday and 3 L 645 m L on Thursday . On which day did it give more milk and by how much? A.
Thursday, 543 mL
B. Wednesday, 345 mL
C. Thursday, 700 mL
D. Wednesday, 700 mL
30. Latika starts her piano and dance lesson at 3 p.m. A piano lesson takes 1 hour and a dance lesson takes 30 minutes. What time does she nish her lessons? A.
5:00 p.m.
B. 4:00 p.m.
C. 4:30 p.m.
D. 5:30 p.m.
ACHIEVERS SECTION 31. Study the diagram below. Each gure stands for a number.
24 Find the value of A.
6
25 ×
16
10
.
B. 30
C. 12
D. 40
32. The weight of a marble is 5 grams. What is the minimum number of marbles needed to tip the scale below to the right? 28 g
A.
6
B. 8
C. 10
D. 5
33. Read the clues below and help T arun obtain his lucky 4 digit num ber PQRS.
The digit P is the greatest odd digit.
R is 4 less than P.
Q is 7 less than P.
S has the value (9 tens – 90 ones).
A.
9250
B. 9640
C. 9432 Space for Rough Work
D. 9932
A I
SET 8th
-
MO
34. If
+
7
+
+
= 24,
×
= 18 and
–
= 6, then
= ___?__ A.
9
B. 6
C. 3
D. 12
35. Vikas ate __ __ few er jellie s than A isha. Number of jellies eaten
Megha Vikas Neetu Aisha Yash Each A.
5
B. 2
stands for 5 jellies. C. 10
Space for Rough Work
D. 3
Class 3 8th
Set B Year 2014
8th IMO - SET B
2
LOGICAL REASONING 1.
Wic gure comes next in te giv en gu re pattern?
A.
2.
4.
64 5
B.
and
If
83 6
C.
D.
92 4
D.
48 3
, ten
A.
B.
C.
D.
Wic of te following options sows te correc t mirror image of Fig.(X)?
A.
5.
C.
Coos e te s tat does not be long to te group.
A.
3.
B.
B.
C.
D.
Four friends ran in a race com petition. Moit stood te last. R oan is not tird and Riya is not rst. Kirti stood after Roan but before Riya. Wo stood at te tird position? A.
Roan
B. Kirti
C. Riya SPACE FOR ROUGH WORK
D. Moit
B I
SET 8th
6.
-
MO
3
Wic solid is used to draw t e Sape (X)?
Sape (X)
A.
7.
B.
B.
C.
D.
In ow many ways c an a cat reac it s food? A. B. C. D.
9.
D.
Find te gure from te options wic is NOT exactly embedded in Fig.(X).
A.
8.
C.
3 4 5 6
Find te combination of n umbers so tat letters are arranged accordingly to form a meaningful word. h U M O T 1 A.
3, 4, 2, 5, 1
B.
3, 4, 5, 2, 1
2
3
4 5
C. 5, 4, 3, 2, 1
D.
1, 2, 3, 5, 4
10. Find te missing number, if a certain rule is applied row-wise or column-wise. A. B. C. D.
1 2 0 3 SPACE FOR ROUGH WORK
5
5
0
4
3
3
1
?
7
8th IMO - SET B
4
MATHEMATICAL REASONING 11. Wic of te followi ng gures sows tat
A.
B.
of te gure is sade d?
C.
D.
12. Wat is te time sown on te clock? A. B. C. D.
15 minutes 15 minutes 15 minutes 15 minutes
to 4 to 5 past 4 past 5
13. Find te value of P. ×
A. 7 B. 8 C. 3 D. 4
+
2
4
1
P
1 9
2
2 4
0
4 3
2
14. Wic of te given abacus sows te number greater tan 2000?
A.
B.
C.
D.
15. Te given picture grap sows te fa vourite fruit of a group of pupils. Find te total number of fruits.
A. B. C. D.
23 96 14 84
Apple Eac SPACE FOR ROUGH WORK
Orange
Peac
stands for 6 fruits.
Banana
B I
SET 8th
-
MO
5
16. Madulika as some money in er money box. Se as te amount as sown ere.
her friend Sonika as some rupee notes wit er. Se wants to excange tese wit Madulika. Wic of te amount sown below is same as Madulika’ s amount ?
A.
B.
17. Wat is te weigt of
C.
D.
?
A. 4 kg B. 5 kg C. 6 kg D. 3 kg 18. Find te value of A.
1482
B.
1388
.
C. 1278 D.
694
19. Te sum of 1727 and 6475 is ______. A. Eigty two tousand and two C. Seven tousand two undred and two
B. Eigt tousand two undred and two D. Eigt tousand two undred and twenty
SPACE FOR ROUGH WORK
8th IMO - SET B
6
20. 12 tens 49 ones + 36 tens 52 ones = Find te value of A.
754
– 173.
. B.
408
C. 581
D.
243
EVERYDAY MATHEMATICS 21. Latika as 162 cocolate cakes and 182 strawberry cakes. how many total cakes does se as? A.
244
B.
348
C. 249
D.
344
22. Varun and Raj ave 159 postcards altogeter. Varun as 112 postcards. how many postcards does Raj as? A.
37
B.
47
C. 27
D.
57
23. Garima as 19 plates. Se puts 14 owers on eac plate. how many owers are tere altogeter? A.
116
B.
136
C. 266
D.
282
24. Amit as 14 green toy cars and 16 red toy cars. he arranges te toy cars into 3 equal rows. how many toy cars are tere in eac row? A.
10
B.
90
C. 30
D.
22
25. Beena needs 5 m 25 cm of te string to tie te plant and 7 m 55 cm of te string to tie te books. how muc string does Beena need altogeter? A.
1280 cm
B. 1482 cm
C. 1382 cm
D. 1820 cm
26. Te cricket matc began at 9 : 00 a.m. and nised at 5 : 30 p.m. how long did te matc last? A.
7 rs 50 mins
B. 8 rs
C. 7 rs
D. 8 rs 30 mins
27. 981 books are to be arranged on 9 selves. Eac self contains same number of books. how many books are kept on eac self? A.
19
B.
119
C. 109 SPACE FOR ROUGH WORK
D.
8829
B I
SET 8th
-
MO
7
28. Tere are 32 birds. Only
of tem are on te tree. how many birds are tere on te
tree? A.
8
B.
9
C. 128
D.
29. On Diwali, Anuj's fater gave im ` 1359 and is moter gave im money did e get from is parents? A.
`
1846
B.
`
2864
C. ` 2648
`
D.
36
1505. how muc
`
2341
30. One basket weigs 132 kg. how muc will 8 similar baskets weig? A.
1506 kg
B. 1250 kg
C. 1065 kg
D. 1056 kg
ACHIEVERS SECTION 31. Find te value of + A.
= 12;
.
+
= 17;
11
B.
–
= 9;
16
=
C. 20
×
– D.
= ? 14
32. Wen largest 4-digit number is divided by te smallest 3-digit number, ten A.
Quotient = 9, Remainder = 999
C. Quotient = 999, Remainder = 999
B. Quotient = 99, Remainder = 99 D. Quotient = 999, Remainder = 9
33. A scool concert started at quarter to eigt in te evening and ended at a quarter past ten. Aman left te concert 45 minutes before it ended. (a) Wat was te duration of te concert? (b) At wat time did Aman leave te concert? (a)
(b)
A.
2 ours
9 : 00 p.m.
B. 3 ours
9 : 30 p.m.
C. 2 ours 30 minutes
9 : 30 p.m.
D. 1 our 45 minutes
10 : 30 p.m. SPACE FOR ROUGH WORK
8th IMO - SET B
8
34. Look at te given number bond. Q is 1 more tan P. Ten, P + Q = _______. 6
A. C.
1
B. 9
5
D.
35. Gautam and Prateek are stuck on a question. Look at te given clues and elp tem to nd te correct answer.
An eraser as lengt 5 cm. 6 erasers are placed in a straigt lin eraser.
Find te distance between te 1 A.
40 cm
B. 45 cm
st
e wit a spacing of 4 cm between eac
eraser and te 6
t
eraser.
C. 35 cm
SPACE FOR ROUGH WORK
D. 30 cm
Class 3 9th
Set A Year 2015
Class 3 9th
Set B Year 2015
logical Reasoning
1.
How many possible combinations of 1 chocolate and 1 ice-cre am can be formed fr om the given chocolates and ice-creams? A.
Chocolate
9
Ice cream
B. 12 C. 10 D. 14 2.
Find the odd one out.
A.
3.
B.
C.
D.
Which of the following options will complete the pattern in Fig.(X)? A.
B. ?
C. 4.
D.
Fig. (X)
Find the n umber of fruits to the right of the fruit called as "Kin g of fruits".
Left A. 5.
2
B. 3
C. 1
D. 4
If 'Star' is ca lled 'Sun', 'Sun ' is called 'Moon ', 'Moon' is ca lled 'Earth' an d 'Earth' is called 'Comet', then man lives on ______. A.
Star
B. Moon
C. Earth
D. Comet
SPACE FOR ROUGH WORK
2
| 9th IMO | Class-3 | Set-B | Level 1
6.
Which of the following is the correct mirror image of Fig.(X) , if the mirror is placed along MN ? M
R e a D Y
Fig.(X)
Y D a
A.
e
B.
R
7.
R e
N
C.
a
R e a
D
D
Y
Y
D.
Some letters which are numbered a re given. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word. 12345
A. 8.
B. 4, 1, 2, 3, 5
C. 1, 2, 3, 4, 5
D. 3, 1, 2, 5, 4
How many groups of 6 boys can be formed from children given below?
A. 9.
2, 3, 1, 5, 4
2
B. 6
C. 0
D. 1
In which of the following gures, Fig.(X) is e xactly embedded as one of its part?
Fig. (X) A.
B.
C.
D.
SPACE FOR ROUGH WORK
9th IMO | Class-3 | Set-B | Level 1 |
3
10. There are _____ circles, _____ straight lines and _____ squares in the given picture. A.
2, 48, 4
B. 2, 47, 4 C. 2, 46, 4 D. None of these mathematical Reasoning
11. Which of the following sets of numbers are arranged in descending order? A.
9021, 9847, 9854, 9694
B. 9021, 9478, 9694, 9485
C. 9694, 9485, 9021, 9478
D. 9946, 9854, 9847, 9201
12. 27 hundreds A.
÷
9
3 ones = _______ tens B. 900
C. 90
D. 9000
13. Which of the given abacus shows the number greater than 2000?
A.
B. t h
t
o
C. t h
t
<
A.
B.
<
t h
o
14. Which of the following gure sets shows
D.
1 6
4 <
6
t
o
t h
t
o
with respect to shaded part?
C.
>
D.
>
15. Rahul has ` 120. He wants to buy a Robot that costs ` 180. How much more money does he needed to buy the Robot ? A.
`
150
B.
`
50
C.
`
60
D.
`
90 SPACE FOR ROUGH WORK
4
| 9th IMO | Class-3 | Set-B | Level 1
16. What is the weight of A.
?
60 g
B. 30 g C. 40 g D. 20 g 17. Latika left her home at 7:00 a.m. and she took 2 hours 10 minutes to reach ofce. Which clock shows the time when she reached ofce?
A.
B.
C.
D.
18. The table shows the heights of 4 boys. Name Height (in cm)
Mohit
Amit
140
131
Raj
Varun
124
102
Who among is the tallest boy? A.
Mohit
B. Amit
C. Raj
D. Varun P
19. How many more squares in the gure must be drawn so that the gure becomes symmetric along the line PQ? A.
1
B. 3 C. 6
D. 8
20. If A.
7
Q
= 42. What is the value of B. 14
C. 28
?
D. 35
eveRYDaY mathematics
21. A lion eats 875 kilograms of food in 5 days. If the lion is fed with the same amount of food each day, how many kilograms does the lion eat per day? A.
165
B. 170
C. 175
D. 180
SPACE FOR ROUGH WORK
9th IMO | Class-3 | Set-B | Level 1 |
5
22. A table costs A. 1,680 `
`
560. What will be the cost of 3 such tables? B.
`
1,240
C.
`
960
D.
`
1,560
23. Jyoti wants to distribute 875 marbles equally in 7 groups. How many marbles are there in each group? A.
125
B. 175
C. 126
D. 176
24. Piyush is 167 cm tall. His sister is 29 cm shorter than Piyush. What is the total height of Piyush and his sister? A.
1 m 38 cm
B. 1 m 96 cm
C. 3 m 5 cm
D. 3 m 50 cm
25. Ravi bought 7 cans of paint and used 4 cans. What fraction of the paint did he use? A.
1/7
B. 4/7
C. 3/7
D. 6/7
26. In the year 2009, there were 198 working school days. How many days were holidays? A.
165
B. 167
C. 200
D. 205
27. Akshat collected 352 old coins. His friend collected 212 old coins. How many old coins do they both collected altogether? A.
564
B. 566
C. 664
28. 46 children from class III contributed
`
D. 666
25 each for some relief fund. How much money
did the class contribute in all? A.
`
910
B.
`
920
C.
`
1,050
D.
`
1,150
29. A teacher wants to stand 50 children in rows of 7 each. How many rows did they make? How many children were left? A.
6, 3
B. 8, 2
C. 7, 1
D. 9, 1
.
30. Rohan has
One-third of the balloons burst. How many balloons burst? A.
1
B. 2
C. 3
D. 4
SPACE FOR ROUGH WORK
6
| 9th IMO | Class-3 | Set-B | Level 1
achieveRs section
31. The bar graph shows the number of children who wear glasses in four sections of class 3. Which class has the greatest number of children who wear glasses? Boys
Girls
10 n er
8 ldi h
6 c f o r e
4 b mu
2 N
0
A.
3A
Class 3A
Class 3B
B. 3B
Class 3C
Class 3D
C. 3C
D. 3D
32. Which of the following statements is needed to solve the given problem? Deepika buys 27 sheets of stamps. How many stamps does she buy in all?
(i)
A sheet contains 100 stamps.
(ii) Each stamp costs A. 33.
Only (i)
×
8
= 18,
C. Both (i) and (ii) = 2 and
–
D. Neither (i) nor (ii)
+
= 6.
. B. 2
34. Find the value of X A.
5.
B. Only (ii)
Find the value of A.
`
×
C. 9 Y.
1
B. 2
C. 3
D. 6
D. 4 7 X 1 – Y 6 4 3 5 7
SPACE FOR ROUGH WORK
9th IMO | Class-3 | Set-B | Level 1 |
7
35. Study the statements carefully. The length of Rod P is 4 cm less than the length of Rod Q. The length of Rod R is 5 cm more than the length of Rod P. The length of Rod Q is 10 cm. Find : (a) the length of Rod P. (b) the length of Rod R. (a) (b) A.
4 cm
10 cm
B. 6 cm
15 cm
C. 14 cm D. 6 cm
11 cm 11 cm SPACE FOR ROUGH WORK
8
| 9th IMO | Class-3 | Set-B | Level 1
ANSWER KEYS 5TH IMO (2011) 2.
21.
(D) (A) (A)
31.
(B)
1. 11.
3.
22.
(A) (B) (B)
32.
(C)
12.
4.
23.
(B) (B) (A)
33.
(B)
13.
5.
24.
(B) (A) (A)
25.
(C) (C) (B)
34.
(B)
35.
(D)
14.
15.
6. 16. 26.
(C) (C) (B)
8.
27.
(C) (C) (B)
7. 17.
9.
28.
(C) (C) (B)
18.
10.
29.
(B) (A) (C)
30.
(B) (B) (A)
19.
20.
6TH IMO (2012) SET A 1.
(C)
2.
(A)
3.
(C)
4.
(C)
5.
(B)
6.
(D)
7.
(A)
8.
(B)
9.
(C)
10.
(A)
11. 21.
(C) (C)
12. 22.
(C) (C)
13. 23.
(A) (C)
14. 24.
(C) (D)
15. 25.
(C) (C)
16. 26.
(B) (D)
17. 27.
(C) (A)
18. 28.
(D) (B)
19. 29.
(A) (C)
20. 30.
(B) (C)
31.
(C)
32.
(D)
33.
(C)
34.
(D)
35.
(B)
1.
2.
(C) (C) (C)
(D) (C) (B)
8.
(B) (D) (C)
9.
(A) (B) (C)
10.
25.
(C) (B) (B)
7.
24.
(C) (B) (C)
5.
23.
(C) (D) (A)
4.
22.
(A) (C) (C)
3.
21.
(D) (D) (A)
(C) (A) (B)
31.
(D)
32.
(C)
33.
(C)
34.
(B)
35.
(C)
(B) (A) (A)
8.
(B) (C) (D)
9.
(A) (D) (A)
10.
(C) (A) (B)
8. 18.
(C) (D) (B)
9. 19.
(C) (B) (D)
10. 20.
(A) (B) (C)
8.
(B) (A) (B)
9.
(D) (D) (D)
10.
(C) (B) (C)
8.
(B) (B) (A)
9.
(A) (B) (B)
10.
(A) (B) (A)
8.
(A) (A) (B)
9.
(A) (C) (A)
10.
(D) (B) (A)
8.
(A) (A) (D)
9.
(B) (B) (C)
10.
SET B 11.
12.
13.
14.
15.
6. 16. 26.
17. 27.
18. 28.
19. 29.
20. 30.
7TH IMO (2013) SET A 1. 11. 21. 31.
(C) (B) (B) (B)
2. 12. 22. 32.
(B) (A) (D) (B)
3. 13. 23. 33.
(B) (C) (B) (A)
4. 14. 24. 34.
(C) (D) (C) (A)
5. 15. 25. 35.
(C) (C) (D) (D)
6. 16. 26.
(D) (C) (A)
7.
(C) (A) (B)
7. 17.
17. 27.
18. 28.
19. 29.
20. 30.
(B) (B) (A)
SET B 1. 11. 21. 31.
(B) (D) (A) (B)
2. 12. 22. 32.
(C) (A) (C) (C)
3. 13. 23. 33.
(D) (B) (D) (B)
4. 14. 24. 34.
(C) (B) (C) (C)
5. 15. 25. 35.
(D) (B) (C) (D)
6. 16. 26.
27.
28.
29.
30.
(A) (A) (A)
8TH IMO (2014) SET A 1. 11. 21. 31.
(D) (C) (B) (C)
2.
(D) (B) (D) (B)
2.
12. 22. 32.
(D) (D) (A) (A)
3.
(B) (B) (B) (B)
3.
13. 23. 33.
(D) (A) (C) (A)
4.
(B) (B) (C) (C)
4.
14. 24. 34.
(B) (B) (D) (A)
5.
(B) (B) (A) (D)
5.
15. 25. 35.
(C) (A) (B) (C)
6. 16. 26.
(A) (C) (A)
7.
(C) (C) (D)
7.
17. 27.
18. 28.
19. 29.
20. 30.
(C) (A) (C)
SET B 1. 11. 21. 31.
12. 22. 32.
13. 23. 33.
14. 24. 34.
15. 25. 35.
(C) (D) (A) (A)
6. 16. 26.
17. 27.
18. 28.
19. 29.
20. 30.
(B) (A) (D)
9TH IMO (2015) SET A 1. 11. 21. 31.
(A) (A) (C) (C)
2.
(A) (D) (C) (B)
2.
12. 22. 32.
(B) (D) (D) (A)
3.
(D) (C) (A) (A)
3.
13. 23. 33.
(B) (C) (C) (A)
4.
(A) (B) (A) (D)
4.
14. 24. 34.
(C) (C) (B) (B)
5.
(C) (A) (C) (D)
5.
15. 25. 35.
(A) (A) (A) (D)
6. 16. 26.
(C) (B) (D)
7.
(B) (B) (B)
7.
17. 27.
18. 28.
19. 29.
20. 30.
(B) (A) (B)
SET B 1. 11. 21. 31.
12. 22. 32.
13. 23. 33.
14. 24. 34.
15. 25. 35.
(D) (C) (B) (D)
6. 16. 26.
17. 27.
18. 28.
19. 29.
20. 30.
(B) (C) (C)