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(1)5. 5. INSTANT. (2008-2012).

(2) Copyright © 2013 MTG Learning Media (P) Ltd. No part of this publication may be reproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the Publisher. 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 Office : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana. Phone : 0124 - 4951200 Web: mtg.in Email: info@mtg.in Regd. Office : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029. Visit. www.mtg.in for buying books online..

(3) MTG Work-Books / olympiad books CLASS 1. International Mathematics Olympiad. National Science Olympiad. International English Olympiad. MTG CSS Series. CLASS 2. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad. International English Olympiad. MTG CSS Series. International English Olympiad. MTG CSS Series. CLASS 3. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad.

(4) MTG Work-Books / olympiad books CLASS 4. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad. International English Olympiad. MTG CSS Series. International English Olympiad. MTG CSS Series. International English Olympiad. MTG CSS Series. CLASS 5. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad. CLASS 6. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad.

(5) MTG Work-Books / olympiad books CLASS 7. National Science Olympiad. International Mathematics Olympiad. National Cyber Olympiad. Science IQ Challenge. Math IQ Challenge. International English Olympiad. MTG CSS Series. Master Mental Ability in 30 Days. CLASS 8. International Mathematics Olympiad. National Science Olympiad. National Cyber Olympiad. International English Olympiad. MTG CSS Series. Math IQ Challenge. Science IQ Challenge. Psychology of Success. The Secrets of SUCCESS. Master Mental Ability in 30 Days.

(6) MTG Work-Books / olympiad books CLASS 9. International Mathematics Olympiad. Math IQ Challenge. National Science Olympiad. Science IQ Challenge. National Cyber Olympiad. Psychology of Success. The Secrets of SUCCESS. International English Olympiad. Master Mental Ability in 30 Days. CLASS 10. International Mathematics Olympiad. Math IQ Challenge. National Science Olympiad. Science IQ Challenge. National Cyber Olympiad. Psychology of Success. The Secrets of SUCCESS. International English Olympiad. Master Mental Ability in 30 Days.

(7) Class. 1 to 10.

(8) JEE Main & Advanced | NEET | BOARDS | OLYMPIAD | NTSE. FOUNDATION COURSE For Classes 8, 9 & 10 Class 8. Class 9. Class 10.

(9) Class 5 2nd. Year 2008.

(10) Class 5 . 2nd IMO - 2008. 2 . SECTION  I  :  LOGICAL  REASONING  1. . What number comes next in the sequence ?  8, 9, 10, 16, 17, 18, 24, 25, 26, ..?...  (A)  35 . 2. . (B)  32 . (D)  12 . (E)  52 . (C)  X . (D)  C . (E)  None of these . Symbol that can never be repeated is  (A)  I . 3. . (C)  36 . (B)  V . What will come in place of . 39814 . to make the number sentence  true ? . +  11885  – 5134  × . (A)  9 . (B)  7 . = 41431  (C)  –2 . (D)  2 . (E)  8 . 4.  Study the given figure. What is the area of the outlined figure ? . (A)  15 square units . (B)  21 square units . (C)  27 square units . (D)  35 square units . KEY  = 1 Square Unit . (E)  None of these.  5. . Using the rule between IN numbers and OUT numbers, determine the missing number.  IN : . 121 . OUT:  1331  (A)  1925  6. . 8. . 183 . 175 . 192 . 1752 . 2379 . ? . 2880 . (B)  2275 . (C)  2450 . Which angle in the given figure is acute ?  (A) Ð A  (B) Ð B  (D) Ð D . 7. . 146 . (D)  2625 . (E)  None of these.  A . B . (C) Ð C  D . (E)  None of these. . What number gives 234 when you multiply it by 45 and then divide by 20 ?  (A)  104  (B)  106  (C)  108  (D)110 . C . (E)  None of these. . A festival is taking place on Mr. Mehra’s field. The table below show how the field is divided into ten  equal sections.  Mr. Mehra's Field  Food  Games  Food . Parking  Parking  Games . Parking . Food . Parking . Games . What fraction of the field is used for parking ?  3  1  2  (A)  (B)  (C)  10  3  5  9. . (D) . 4  6 . (E) . 3  5 . It takes  55 minutes of  fly from town A to town B.  It takes 12  times as much  time to drive  the same  distance. How much time is needed to drive from town A to town B ?  (A)  11 h 50 min . (B)  11 h . (C)  11 h 30 min . (D)  12 h . (E)  None of these..

(11) Class 5 . 2nd IMO - 2008. 3 . 10.  What value from the following options will go in the empty box ? . 2 . 10  3 . (A)  1 . (B)  16 . 12 . (C)  12  (E)  None of these. . (D)  11 . 15 16  School  Cinema  Park . 11.  Mona is standing at the point marked X in the figure. She is facing the  food centre. What will she face if she turns 180° anticlockwise ?  (A)  Food centre . (B)  Market . (C)  Shopping centre . (D)  Park . 5 . X  Play  ground  Food  Centre . (E)  None of these. . Market  Bus  Interchange  Shopping  Centre . North . 12.  A  game  is  played  using  the  grid  shown.  A  player  is  allowed  to . B . move north or east only. If he moves north, he must take an odd number  of steps. If he moves east, he must take an even number of steps. After  each  move,  he  must  change  direction.  How  many  ways  are  there  to  move from A to B altogether ? . 1 step  A . (A)  5 . (B)  2 . (C)  3 . (D)  4 . (E)  None of these. . 1 step . 13.  The figure shows a solid made up of cubes of edge 3 cm. How it will look when  viewed from the top ? . (A) . (B) . (D) . (E)  None of these. . 14.  Find the value of  (A)  7 . + . + . (B)  14 . (C) . if . + . + . + . (C)  35 . = 175 and (D)  49 . 167 . 15.  What is the missing value ?  (A)  214  (C)  254  (E)  None of these. . + . (B)  234  (D)  274 . 52 . 18 . =  5 . (E)  None of these.  116 . 14  215 . ¸. 30 . 134 . 80  198 . 28 . ? . 38  314 . 92 . 16.  Jyoti's car was parked in a car parking from 1.30 p.m. to 4.00 p.m. How much she has to pay ?  PARKING RATES  First hour . Rs 5 . Every additional half an hour . Rs  1.50 . (A)  Rs 9 . (B)  Rs  9.50 . (C)  Rs  8.50 . (D)  Rs  10.50 . (E)  None of these. . 17.  Which of the following numbers  when divided by 6, 3 or 5 leaves a remainder of 2 ?  (A)  28 . (B)  30 . (C)  31 . (D)  32 . (E)  None of these..

(12) Class 5 . 2nd IMO - 2008. 4 . 18.  How many more squares need to be shaded to cover 75% of the figure ?  (A)  28 . (B)  14 . (C)  48 . (D)  75 . (E)  32 . (A)  15 . (B)  12 . (C)  20 . (D)  10 . 3 cm . 19.  A cube,  3 cm on each  side, is painted entirely  blue. It is  then cut apart into  1 cm  1cm  cubes. How many of these cubes will have paint on exactly 2 faces ? . (E)  None of these.  20.  In an excursion, 1 teacher is required to accompany every 20 pupils. How many teachers are required  if 78 pupils are going for the excursion ?  (A)  4 . (B)  3 . (C)  2 . (D)  5 . (E)  None of these. . SECTION  II  :    MATHEMATICAL  REASONING  21.  Javed saved some notes which consist of Re. 1, Rs. 10 and Rs. 20, notes. If his savings was Rs. 200,  and he has 10 ­ Re. 1 note and 3 ­ Rs. 10 notes then how many Rs. 20 notes he had ?  (A)  8  (B)  10  (C)  12  (D)  9  (E)  None of these.  22.  Which set of numbers given below is a sum of 160 and a product of 5775 ?  (A)  55 and 105 . (B)  60 and 100 . (C)  65 and 95 . (D)  70 and 90 . (E)  None of these. . 23.  Anu baked 1000 cookies. She sold 640 of them and gave the rest equally to 20 of her friends. How many  cookies did each of her friends receive ?  (A)  18 . (B)  20 . (C)  24 . (D)  30 . (E)  None of these. . 24.  Mr. Sharma  bought 829  apples. 69  of them  were rotten  and thrown  away. He  sold 376  of them  and  packed the rest equally into bags each containing 12 apples. How many such bags of apples did he  have ?  (A)  42  bags . (B)  21  bags . (C)  32  bags . (D)  24  bags . 25.  Find the area of the shaded part  of the rectangular strip of papers.  (A)  8 cm 2 . (B)  32 cm 2 . (C)  72 cm 2 . (D)  80 cm 2 . (E)  None of these.  4 cm . 8 cm . 4 cm . 2 . (E)  85 cm  . . 12 cm . 26.  The average mass of 3 boys is 64 kg. If the total mass of 2 of them is 119 kg, how heavy is the third  boy ?  (A)  36  kg  27.  If . (B)  73  kg . (C)  160  kg . (D)  192  kg . (E)  None of these. . (D)  90 . (E)  None of these.. 2  of a number is 10, what is 6 times the number ?  3 . (A)  15 . (B)  30 . (C)  45 .

(13) Class 5 . 2nd IMO - 2008. 5 . 2  of them  are puppies, 6 of  them are parrots and  the rest are  3  kittens. How many kittens are in the pet shop ? . 28.  There are  45 animals in  a pet shop. . (A)  10 . (B)  9 . (C)  8 . (D)  7 . 29.  The teacher­pupil ratio in a school is 1 : 40. The number of boys is . (E)  5  4  the number of girls. There are  5 . 2400 girls. How many teachers are there in the school ?  (A)  108 . (B)  480 . (C)  1920 . (D)  4320 . (E)  None of these. . 30.  There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys  bring 60 more stickers than all the girls, how many boys are there ?  (A)  10  (B)  15  (C)  20  (D)  25  (E)  5  31.  The total mass of 3 adults Govind, Joy and Vineet is 219.4 kg. Govind is 6.9 kg lighter than Vineet.  Vineet is 10.4 kg heavier than Joy. How heavy is Govind ?  (A)  68.5 kg . (B)  70.4 kg . (C)  72  kg . (D)  78.9 kg . (E)  None of these. . 32.  40  kg  of  crystals  are  graded  into  3  sizes  :  small,  medium  and  large.  The  ratio  by  mass  of  large  to  medium  to  small  crystals is  4  :  3 :  1. There  are 15  large crystals  per kg.  The total  number of  large  crystals are  (A)  525 . (B)  560 . (C)  300 . (D)  570 . (E)  None of these. . 33.  What percentage of the figure is not shaded ?  (A)  12.5% . (B)  25.5% . (C)  37.5% . (D)  52.5% . (E)  None of these. . DIRECTION (Q. 34 & 35) : The line graph shows the  number of students got 80% from 1998 to 2004. . (A)  2001 . (B)  2000 . (C)  2003 . (D)  2004 . No. of children . 34.  In which year did the most number of children score  80%  ? . No. of children  120  100  80  60  40  20  0  1998  1999  2000  2001  2002  2003  2004  Years . (E)  None of these. . 35.  In which year did the least number of children score  80% marks ?  (A)  1998 . 36. . 1 L . (A) . (C) . (B)  1999 . (C)  2003 . (D)  2004 . (E)  None of these. . = . 50 ml . 500 ml . + . + . (E)  None of these.. 50 ml . 100 ml . (B) . (D) . 500 ml . 100 ml . + . + . 500 ml . 100 ml .

(14) Class 5 . 2nd IMO - 2008. 6 . 37.  60 litres of apple juice serves to 50 people. How much apple juice is needed to serve 120 people ?  (A)  100 litres . (B)  110 litres . 38.  1250 + 450 – 200 =  (A)  1500 . 39. . (C)  120 litres . (D)  144 litres . (E)  None of these. . 2  × _____________. Find the missing value.  5 . (B)  2750 . (C)  3750 . (D)  4000 . (E)  None of these. . 3  1  of a piece of wood of 4  m long, is cut off. What is the length of the remaining portion of the piece  10  5 . of wood ?  (A)  1.26 m . (B)  2.52 m . (C)  2.94 m . (D)  3.9 m . (E)  None of these. . 40.  Sameer was told to multiply 126 by 32. Instead he multiplied 126 by 23. The difference in his answer,  is  (A)  1134 . (B)  1143 . (C)  2898 . (D)  4032 . (E)  None of these. . SECTION  III  :    EVERYDAY  MATHEMATICS  41.  Sanjay has 10 pets. His pets are either birds or rabbits. All the birds have 16 fewer legs than all the  rabbits. How many rabbits does he have ?  (A)  6 . (B)  9 . (C)  4 . (D)  2 . (E)  None of these. . 42.  Anil transferred eggs from 24 paper trays into plastic trays. Each paper tray could hold 30 eggs while  each plastic tray held 20 less. How many plastic trays did he use ?  (A)  36 . (B)  72 . (C)  84 . (D)  108 . (E)  None of these. . 43.  6 teachers took 3 classes to the bird park. Each class had 30 pupils. The entrance fee to the bird park  was Rs. 15  for an adult. The  teachers  paid Rs. 600 and received  a change of Rs. 60.  What was the  entrance fee per pupil ?  (A)  Rs.  6 . 44.  Mohit read . (B)  Rs.  5 . (C)  Rs.  8 . (D)  Rs.  10 . (E)  None of these. . 1  2  of a book. If he read further 60 pages, he would have read  of the book. How many  4  3 . pages were there in the book ?  (A)  12 . (B)  36 . (C)  96 . (D)  144 . (E)  None of these. . 45.  1 kg of rice costs as much as 1.25 kg of wheat flour. Leela paid Rs. 12.60 for 2 kg of rice and 5 kg of  wheat flour. Find the cost of 5 kg of wheat flour.  (A)  Rs. 1.68 . (B)  Rs. 2.10 . (C)  Rs. 8.40 . (D)  Rs. 10.50 . (E)  None of these. . 46.  12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool ?  (A)  2 h 4 min . (B)  2 h 14 min . (C)  2 h 24 min . (D)  2 h 34 min . (E)  None of these. . 47.  Kavita can finish painting a house in 6 days and Anita can finish painting the same house in 10 days.  On  1  April,  they  started  painting  the  house  together.  After  painting  for  3  days,  Kavita  could  not  continue working and Anita had to finish painting the house alone. On which day will the house be  fully painted ?  (A)  5 April . (B)  6 April . (C)  7 April . (D)  8 April . (E)  None of these..

(15) Class 5 . 2nd IMO - 2008. 7 . 48.  Sumit wrote 3 numbers on three cards and covered two of the numbers.  The number on Card A is 75% of the number on Card B. The number on  Card C is 4 times the number on Card A. If the number on Card B is 124,  the value of the number on Card C is  (A)  372  (B)  90  (C)  92  (D)  95 . A . B . C . 124 . (E)  None of these. . 49.  Deepak made the smallest possible cube by using rectangular blocks each measuring 6 cm by 4 cm  by 3 cm. How many such blocks did he use to make the cube ?  (A)  12 . (B)  20 . (C)  24 . (D)  72 . (E)  18 . 50.  Arpit cuts a piece of string, 60 cm long, into 12 equal pieces. The length of each piece of string, is  (A)  6 cm . (B)  12 cm . (C)  5 cm . (D)  7 cm . SPACE FOR ROUGH WORK. (E)  10 cm .

(16) 3rd. Year 2009.

(17) 3rd IMO - 2009. SECTION  I  :  LOGICAL  REASONING  1. . Study  the adjoining  figures  which  follow a  certain  pattern.  How many squares do you need in figure 5 ?  (A)  15  (B)  18  (C)  21  Figure 1 . (D)  24  2. . Figure 2 . What is the relation between the areas of the two triangles D ABD & D ACD in the adjoining figure?  C . B . (A)  Area of DABD > Area of DACD  (B)  Area of DABD < Area of DACD  (C)  Area of DABD = Area of DACD . [Area of 1  = 1 square unit] . (D)  None of these  3. . 4. . D . A . The  numbers  in  Figures  I,  II  and  III  are  arranged  according  to  a  certain  pattern.  Find  the  missing  16  18  15  number in Figure II.  (A)  8 . (B)  4 . (C)  5 . (D)  6 . 9 . 8 . 5 . 9 . 12  Figure I . ? . 7 . 15  Figure II . 11 . 4 . 9 . 13  Figure III . Chandni travels 3 kms towards the West, turns left and goes 3 kms, turns right and goes 1 km, again  N  turns  right  and  goes  3  kms.  How  far  is  she  from  the  starting  point  ?  (A)  7 kms . (B)  6 kms . (C)  5 kms . (D)  4 kms . W . E  S . 5. . Which of the following is the largest number that will divide 20, 57 and 85 leaving remainders 2, 3 and  4 respectively ?  (A)  3 . 6. . 7. . (B)  6 . (C)  9 . (D)  18 . How  many  triangles  are  there  in  the  given  figure?  (A)  16 . (B)  22 . (C)  24 . (D)  21 . Which  figure  is  the  rearrangement  of  the  parts  of  the  figure  given  below  ? . (A) . 3 rd  IMO  |  Level­I  |  Class 5 . (B) . (C) . 2 . (D).

(18) 3rd IMO - 2009. 8. . Which  one  of  the  following  figures  has  5  right  angles  in  it  ? . (i) . (A)  (iii)  9. . (ii) . (iii) . (B)  (iv) . (iv) . (C)  (ii) . (D)  (i) . Six students from different schools met at a Robotics Fair. Each student shook hands with the other.  How  many  handshakes  were  exchanged  ?  (A)  15 . (B)  12 . (C)  18 . (D)  30 . 10.  Ankur visits  the gym  once every four  days. Kunal visits  the gym  once every six  days. Both of them  visit the gym today, which is a Tuesday. On which day will they meet each other again in the gym ?  (A)  Sunday . (B)  Thursday . (C)  Monday . (D)  Saturday . 11.  How many more of the same shape as shown in the box below are needed to fill up the box?  (A)  10  (B)  11  (C)  12  (D)  13  Food  centre . 12.  Jenny is facing her home at O. Find the angle of rotation that Jenny  Community  centre . has  to  make  in  order  to  face  the  library.  (A)  0° . School . Pet shop . O . (B)  90°  (C)  180° . Home . Library . (D)  360° . Market  Post  office . 13.  Find the odd one out.  (A) . C  E  D . (B) . (C) . F  H  G . I . J  K . (D) . L  N  M . 14.  Which  one  of  the  shapes  below  would  not  look  the  same  after  half  a  turn  ? . (A) . (B) . (C) . (D) . 15.  Today  is  Wednesday.  What  will  be  the  day  after  94  days  ?  (A)  Monday . (B)  Tuesday . (C)  Wednesday . (D)  Sunday . 16.  John has these coins. In how many different ways can he make up a sum of 80 ? (You do not need  to  use  all  the  coins  each  time)  10 . (A)  1 . 10 . 10 . 10 . 10 . 20 . 20 . 20 . 20 . (B)  3 . (C)  4  3 . 10 . (D)  6 3 rd  IMO  |  Level­I  |  Class 5 .

(19) 3rd IMO - 2009. 17.  If . is  to . then . (A) . is  to  (B) . (C) . (D) . 18.  Ritu  started  from  her  house at  8.30  a.m.  and  visited  the  Library,  Park and  Grocery  shop  and  then  came back to her house. She spent 40 minutes in the library, 30 minutes in the park and 10 minutes  at the grocery shop. The distances between the places are shown in the figure given below. If she  took  15  minutes  to  travel  every  5  kms,  at  what  time  did  she  reach  her  house  ?  House . (A)  10.30 a.m.  (B)  10.50 a.m. . 10 kms . Library . 5 kms . 5 kms . (C)  11.20 a.m.  Grocery shop . (D)  11.30 a.m.  19.  What  will  come  in  the  place  of . to  make  the  number  sentence  true  ?  24748 – . (A)  3574 . Park . 10 kms . + 4239 × 3 = 33918 . (B)  3754 . (C)  3457 . (D)  3547 . 20.  There are 48 toy cars and toy bicycles in a box. If the total number of wheels is 128, how many toy  bicycles  are  there  ?  (A)  16 . (B)  24 . (C)  32 . (D)  64 . SECTION  II  :  MATHEMATICAL  REASONING  21.  The  width  of  the  given  rectangle  is  decreased  by  8  cm.  Find  its  new  length if its area remains unchanged.  (A)  36 cm . (B)  37 cm . (C)  53 cm . (D)  60 cm . 32 cm  45 cm . 22.  Which one of the following is correct ?  (A)  6 +. 3 1000. +. 6  100. = 6.36  (B)  0.6 =. 5 . (C) . 8. 6  1000. = 0.006 . (D)  0.003 =. 3  100. 23.  The  graph  given  below  shows  the Mathematics  marks obtained  by a  class of 40 pupils.  Study the  graph  carefully  and  answer  the  question. . Number of pupils . 12  10  8  6  4  2  0 . 40­49  50­59  60­69  70­79  80­89  90­100  Marks . What fraction of  pupils scored 70 marks and above ?  (A) . 5  8 . 3 rd  IMO  |  Level­I  |  Class 5 . (B) . 1 . (C) . 2 . 4 . 5  9 . (D) . 3  5.

(20) 3rd IMO - 2009. 24.  The value of 15 × (17  + 19) ¸ 4 –  35 ¸ 7 is  ______  (A)  100 . (B)  120 . (C)  125 . (D)  130 . 25.  Peter is five times as old as his grandson, James. After six years, James will be 24 years old. How  old  is  Peter  now  ?  (A)  80 years . (B)  90 years . (C)  100 years . (D)  85 years . 26.  The  figure given below shows 8 identical triangles in 2 squares  each of side 10 cm. Find the area  of  all  the  shaded  triangles.  20 cm . (A)  200 cm 2 . (B)  150 cm 2 . (C)  125 cm 2 . (D)  100 cm 2 . 27.  A  watermelon  is  10  times  as  heavy  as  two  apples  of  equal  mass.  If  the  mass  of  each  apple  is  214  g,  find  the  mass  of  3  such  watermelons.  (A)  12840 g . (B)  6420 g . (C)  2140 g . (D)  4280 g . 28.  Roman  numeral  for  the  difference  of  6895  and  5287  is  ______  (A)  DCVIII . (B)  MDCVIII . (C)  MCDVIII . (D)  XVICD . 29.  Refer to  the line graph given below which shows the enrollment of nursery children over a period  of  six  years.  Study  the  graph  carefully  and  answer  the  question. . Number of children  in nursery . 6000  5000  4000  3000  2000  1000  2001  2002  2003  2004 2005  2006  Years . What  was  the  increase  in  the  number  of  children  between  2004  and  2006  ?  (A)  500 . (B)  1000 . (C)  1500 . (D)  2000 . 5  30.  Tanya was asked to convert 77° Fahrenheit to Degree Celsius using the formula C =  (F - 32) . Instead  9  9  she  used  the  formula  C  =  (F - 32) . The  difference  between  the  right  answer  and  her  answer  is  5 . (A)  25° Celsius . (B)  81° Celsius . (C)  106° Celsius  5 . (D)  56° Celsius 3 rd  IMO  |  Level­I  |  Class 5 .

(21) 3rd IMO - 2009. 31.  A cylindrical tank with a capacity of 32 litres is 4/5 full of water. One quarter of the water is poured  into  a  pail.  How  much  water  is  left  in  the  cylindrical  tank  ?  2  1  3   litres  (A)  6 litres  (B)  19  litres  (C)  5 5  5  17 . (D)  8. 4   litres  5 . 32.  Number  X  is  a  common  multiple  of  8  and  7.  It  is  between  1100  and  1200.  What  is  number  X  ?  (A)  1144 . (B)  1197 . (C)  1120 . (D)  1136 . 21 9  33.  The  decimal  representation  of  6 + 2  + is  __________  25 1000 (A)  6.849  (B)  8.0849  (C)  8.849 . (D)  8.93 . 34.  The sum of five numbers that are arranged in ascending order is 861. The sum of first three numbers  is  466  and  the  sum  of  last  three  numbers  is  579.  What  is  the  third  number  ?  (A)  184 . (B)  157 . (C)  195 . (D)  125 . 35.  The  difference  in  the  area  of  a  large  square  and  the  area  of  a  small  square  is  56  cm 2 .  If  the  side  of  the  small  square  is  5  cm,  find  the  perimeter  of  the  large  square.  (A)  25 cm . (B)  36 cm . (C)  20 cm . (D)  81 cm . 36.  The adjoining figure is made up of 2 similar squares, A and B. Find the . A . B . perimeter  of  the  figure  if  the  area  of  square A  is  36  cm 2 .  (A)  24 cm . (B)  48 cm . (C)  30 cm . (D)  36 cm . Area = 36 cm 2 . 37.  The  table  given  below  shows  the  results  of  a  survey  of  shoe  sizes  for  12­year­old  pupils.  Shoe size . 5 . 5.5. 6 . 6.5 . 7 . Number of pupils . 2 . 6 . 14 . 12 . 6 . What  fraction  of  the  total  number  of  pupils  wear  size  6.5  shoes  ?  (A) . 3  20 . (B) . 1. (C) . 10 . 3  10 . (D) . 7  20 . 38.  A  number  when  rounded  off  to  both  the  nearest  hundred  and  nearest  thousand  is  235000.  The  smallest  possible  of  such  a  number  is  ________  (A)  234999 . (B)  234950 . (C)  234990 . (D)  234900 . 39.  The numeral that represents three million, seventy eight thousand, four hundred and fourteen is —  (A)  3,00788,414 . (B)  3,00078,414 . (C)  3,78,414 . (D)  3,078,414 . 40.  The charges for hiring a boat are shown below.  For the first hour . Rs.15 . For every additional hour or part there of  Rs.10 . Mr. Paul hired a boat from 9.00 a.m. to 2.30 p.m. How much did he pay ?  (A)  Rs. 30  3 rd  IMO  |  Level­I  |  Class 5 . (B)  Rs. 45 . (C)  Rs. 65  6 . (D)  Rs. 70.

(22) 3rd IMO - 2009. SECTION  III  :  EVERYDAY  MATHEMATICS  41.  When Shreya purchased 6 kg of rice, she was short of Rs. 6. When she purchased 8 kg of the same  type of rice, she was short of Rs. 14. How much money did she have ?  (A)  Rs. 18 . (B)  Rs. 20 . (C)  Rs. 24 . (D)  Rs. 30 . 42.  Mrs. Sarah bakes 224 cheese cakes in a week. How many cheese cakes can she bake  in 60 days ?  (A)  3840 . (B)  2240 . (C)  1680 . (D)  1920 . 43.  The  cost  of  a  mug  is  Rs.  3.  If  4  jugs  and  4  mugs  cost  Rs.  60,  find  the  cost  of  a  jug.  (A)  Rs. 3 . (B)  Rs. 12 . (C)  Rs. 15 . (D)  Rs. 18 . æ 3 ö 44.  Anju  has  wire  of ç ÷ m length.  She  cuts  it  into  5  equal  pieces.  Find  the  length  of  each  piece.  è 4 ø (A) . 3  m  20 . (B) . 3  m  40 . (C) . 15  m  4 . (D) . 2  m  15 . 45.  Mohan saves Rs. 25 per day  and his father saves Rs. 50 per day. If both of them save their money  for  15  days,  what  is  the  difference  in  their  savings  ?  (A)  Rs. 375 . (B)  Rs. 750 . (C)  Rs. 1125 . (D)  Rs. 1500 . 46.  A  bag  with  20 similar  packets  of  instant  noodles  has a  mass  of  2  kg.  The  mass of  each  packet  of  instant  noodles  is  80  gms.  Find  the  mass  of  the  bag.  (A)  300 g . (B)  500 g . (C)  400 g . 47.  Anushka added 2 litres of water to every . (D)  800 g . 1  litre of syrup. If  she used 3  litres of syrup, how much  4 . water  would  she  need  ?  (A)  12 litres . (B)  24 litres . (C)  36 litres . (D)  48 litres . 48.  Sanjana  scored  a  total  of  304  marks  for  Mathematics,  Science,  English  and  Hindi.  She  scored  64  marks  in  Science,  56  marks  in  English  and  86  marks  in  Hindi.  Find  her  Mathematics  score.  (A)  76 marks . (B)  68 marks . (C)  98 marks . (D)  86 marks . 49.  Sukhi  works  on  a  farm.  He  is  paid  Rs.  98  for  one  day.  If  he  works  for  52  days,  how  much  will  he  earn ?  (A)  Rs. 4096 . (B)  Rs. 5096 . (C)  Rs. 3000 . (D)  Rs. 1200 . 50.  The  table  given  below  shows  the  marks  scored  by  4  pupils  in  English,  Mathematics  and  Science  during  the  mid­year  Examination.  Study  the table  carefully  and  answer  the  question.  Name of  pupil . Marks scored  Mathematics  Science . English . Aman . 96 . 82 . 74 . Ashu . 70 . 59 . 54 . Rajan . 78 . 51 . 84 . Samrat . 65 . 75 . 67 . Which  pupil  has  the  lowest  marks  for  all  the  3  subjects  ?  (A)  Aman . (B)  Ashu . (C)  Rajan  7 . (D)  Samrat 3 rd  IMO  |  Level­I  |  Class 5 .

(23) 4th. Year 2010.

(24) 4th IMO - 2010. Section I : Logical Reasoning 1. Which digit will appear on the face opposite. to the face with number 4?. (A) 3 (C) 6. 2 1. (B) 5 (D) 1. 6 3. 3. 5. 2. What would be the cost of 2 litres of ice cream and 2 boxes of ice cream cones?. (A) ` 600. (B) ` 580. (C) ` 650. (D) ` 680. 3. Look at the given series: 21, 9, 21, 11, 21, 13, 21, .... What number should come. next? (A) 14. (B) 15. (C) 21. (D) 23. 4. Blueberries cost more than strawberries.. Blueberries cost less than raspberries.. Raspberries cost more than both strawberries and blueberries.. If the first two statements are true, the third statement is _______. (A) True (B) False (C) Uncertain (D) None of these 5. Geeta put a CD in the CD player and pressed play. When she put. Golden. the CD in, it looked like the picture shown aside. After the song ended, Geeta opened the CD player and the CD looked like it. Oldies. had rotated (turned) 180°. Which figure given below shows the CD after it rotated (turned) 180°? . Oldies Golden. 6. A photographer came to take the pictures of a student. There was a choice of five different picture packages. The given chart shows how the number of wallet-sized pictures increases from package to package. If the increase is. Package A Package B. 8 wallet-sized pictures. Package C. 16 wallet-sized pictures ?. Package D. 32 wallet-sized pictures. Package E. 40 wallet-sized pictures. the same from one package to the next,. how many wallet-sized pictures should be in package C? (A) 18 (B) 20 (C) 22 . PICTURE PACKAGES. 4th IMO | Level-I | Class - 5. (D). Golden. (C). Oldies. Oldies. Golden. (B). Oldies. (A). Golden. (D) 24.

(25) 4th IMO - 2010. 7. Count the number of triangles in the given figure.. (A) 10 . (B) 13 . (C) 12 . (D) None of these. 8. Three different positions of a triangle are given. Which of the following options describe its positions?. (A) Rotation, then reflection. (B) Reflection, then translation. (C) Reflection, then rotation. (D) None of these. 9. IX + XV + XX = ____. (B) 35. (A) 45. (C) 44. (D) 76. 10. In the given diagram the boys who are athletic and disciplined are indicated by which number?. (A) 1. (B) 2. (C) 10. (D) 6. 11. Arrange the words given below in a meaningful sequence. 3. Room 4. Town. 1. House 2. Street. (A) 3, 2, 1, 4, 5 (B) 3, 1, 4, 2, 5 (C) 3, 1, 2, 4, 5. 5. District (D) 3, 1, 2, 5, 4. 12. Six friends (A, B, C, D, E and F) are sitting in a circle and are facing the centre of the circle. A is between B and C. D is between E and F. B and E are opposite. to each other. Who is sitting opposite to C? (A) E (B) A (C) D 5. 13. Which number completes the puzzle?. (A) 23. (B) 19. (D) F 11. 7. (C) 21. 13. 17. ?. (D) 20. 14. Which one will replace the question mark? 12. 18. 6. (A) 18. 30. 16. 24. 40. 18. ?. 8. (B) 12. (C) 9 . 27 45. (D) 6 4th IMO | Level-I | Class - 5.

(26) 4th IMO - 2010. 15. What kind of triangles will be obtained if X draws a line segment connecting points A and C on the rectangle shown aside?. (B) Right angled (D) Obtuse. (A) Isosceles (C) Equilateral . B. A. D. C. 16. Krishna will pick one tile from a box without looking. From which of the following boxes is she certain to pick a tile with a “J” on it?. (A). J. B. J. B. J. B. (B). J. J. J. J. J. J. (C). B. B. B. B B. 17. The given table shows that for science class, Mr. Satish is ordering kits that contain caterpillars. Based on the data in the table, what will be the total number. of caterpillars in 8 kits?. (A) 48 (B) 38. (D). J. J. J. J B. Caterpillar kits Number of kits. 3. 4. 5. 6. Total number of caterpillars. 18. 24. 30. 36. (C) 40. (D) 42. 18. The water in Megha's watering bucket is frozen. Which would most likely be the temperature of the water? (B) 100°C (C) 50°C (D) 25°C. (A) 0° 19. Look at this pattern. Which of the following flowers will complete the given pattern?. (A). (B). (C). (D). 20. Shreya has a piece of ribbon which is 3 times as long as Sara's ribbon. If Sara's. ribbon is 4.8 m long, how much longer is Shreya's ribbon ? (A) 1.6 m (B) 9.6 m (C) 7.8 m. (D) 14.4 m. Section II : Mathematical reasoning 21. Which geometric figure has six square faces?. (A) Cube (B) Cone (C) Cylinder. (D) Sphere. 22. Which figure has no line of symmetry?. (A). 4th IMO | Level-I | Class - 5. (B). (C). . (D).

(27) 4th IMO - 2010. 23. Charu cut each piece of paper shown below on the dotted line. Which of the. following are the shapes of the four pieces? (A) Triangles and rectangles (B) Squares and triangles (C) Squares and hexagons (D) Rectangles and circles. Paper-2. Paper-1. 24. Point P is the centre of the circular target shown in the. Q. P. picture. Which appears to be the chord of the circle?. (A) PQ . (B) SQ. (C) PR . (D) None of these. R S. 25. Look at the given problem. Jasmine gave Kanishka 3 sets of stamps. Each set has 6 stamps. What is the total number of stamps Jasmine gave Kanishka?. Which of the following pairs given in the options can be used to solve this problem?. (A). 3+6=. 6+6+6=. 3+6=. (B). 6×6×6=. (C). 3×6=. 3+6=. 26. Reshma put an “S” on the calendar to show the date of her first soccer game in August. Reshma's second soccer game is exactly three weeks later. What is the date of her second soccer game?. (A) August 7. (D). 3×6=. 6+6+6=. August. Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 1 2 3 4 S 5 6 7 8 9 10 11 12. 13. 14. 15. 16. 17. 18 25. (B) August 18. 19. 20. 21. 22. 23. 24. (C) August 24. 26. 27. 28. 29. 30. 31. (D) August 25. 27. 2 hrs after 10:30 am is ____.. (A) 12.30 pm. (B) 12.30 am. (C) 1.00 am. (D) None of these. 1 ?  1 1 (B) + 2 5 1 1 1 1 1 (D) + + + + 2 2 2 2 2. 28. Which of the following has the same value as 5 ×. 1 + 5 2 1 1 1 1 1 (C) × × × × 2 2 2 2 2 (A). 29. If the number sentence given below is true, which of the following is also true? 5,760  24 =. (A) 24 ×. = 5,760 (B) 5,760 – 24 =. . (C). × 5,760 = 24 (D) 5,760 + 24 = 4th IMO | Level-I | Class - 5.

(28) 4th IMO - 2010. 30. What should be the number in the START box ? START. (A) 2025. × 18.  32. (B) 640. 360. (C) 1120. (D) 207360. 31. Look at the number line. 0  lying? 3 (B) Between. Between which shapes is. (A) Between. and. (C) Between. and. . 1 4. 1 2. and. (D) Between. 3 4. 1. 11 4. and. 32. Ms. Pallavi recorded the time, in which her 12 students complete a set of math problems. Time in seconds : 39 48 59 43 38 37 49 50 58 47 58 46 Then she presented the record as shown below. Number of students. Time in seconds 30-39 40-49 50-59. ?. How many tally marks should Ms. Pallavi write in the row for 50-59 seconds? (A) (B) (C) (D). 33. Akriti saw many different shapes of windows on cars and trucks in a parking lot. Four of the windows she saw are drawn below.. Window 1. Window 3. Window 2. Window 4. Which window appears to have only 1 line of symmetry? (A) Window 1 (B) Window 2 (C) Window 3. (D) Window 4. 34. What is 6050.287 rounded to the nearest tenth ?. (A) 6050 (B) 6100 (C) 6050.29. (D) 6050.3. 35. What number am I ?. • I am a two-digit even number.. • I am a common multiple of 6 and 7.. • I have a total of 8 factors.. (A) 35 (B) 42. (D) 84. (C) 36. 36. When it is 10:30, what kind of angle is formed by the hands of the clock?. (A) Acute . (B) Obtuse. (C) Right . (D) Straight. 4th IMO | Level-I | Class - 5. . 12 1 11 2 10 9 3 4 8 7 6 5.

(29) 4th IMO - 2010. 37. Which point on the number line best represents 1.35?. (A). (C). –4. –3 –2. –1. 0. 1. 2. 3. 4. –4. –3 –2. –1. 0. 1. 2. 3. 4. (B) (D). –4. –3 –2. –1. 0. 1. 2. 3. 4. –4. –3 –2. –1. 0. 1. 2. 3. 4. 38. What is the missing value in the given pattern ?. (A) 2. 0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 × ____. (B) 3 (C) 6 (D) 8. 39. Girish is making a math puzzle. He writes that 'w' is an even number which has 12 as a factor. Which of the following could represent the variable 'w'?. (A) 2156. (B) 1728. (C) 1429. (D) 1256. 40. A shopkeeper mixed 3.6 kg of hazelnuts with 0.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box ?. (A) 14.25 kg. (B) 4.35 kg. (C) 0.87 kg. (D) 0.72 kg. Section III : Everyday Mathematics 41. Every week Suhana saves ` 10 on Monday and ` 15 on Friday. If this is her total weekly savings, how many weeks would she take to save enough to buy a ` 175 wireless phone?. (A) 52 weeks. (B) 46 weeks. (C) 7 weeks. (D) 14 weeks. 42. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 162 seats, how many seats are in each row?. (A) 17. (B) 18. (C) 19. (D) 20. 43. Arjun's snack shop sells small, medium and large sodas. Yesterday, they sold 3 large sodas and 8 more medium sodas than large sodas. Arjun's snack shop also sold 8 small sodas yesterday. How many total sodas did Arjun's snack shop sell yesterday?. (A) 31. (B) 13. (C) 22. (D) 33. 44. Abhilasha made cake for a party. She put the cake into the oven at twenty-five past four and took it out thirty minutes later. What time was it when Abhilasha. took out the cake? (A) Five past eight (B) Five o’clock. (C) Five to five. (D) Five past four. 45. The temperature of water in a swimming pool is 51°F. Since the freezing point of water is 32°F, how many degrees would the temperature of the water have to drop. to reach the freezing point ? (A) 9°F (B) 21°F. (C) 2°F . (D) 19°F 4th IMO | Level-I | Class - 5.

(30) 4th IMO - 2010. 46. There are 26 birdhouses made at a factory each hour. What is the total number of. birdhouses made at the factory in 8 hours? (A) 34 (B) 64 (C) 202. (D) 208. 5 1 glass of lemonade. Roshni drank glass of lemonade. If the 8 4 glasses held the same amount of lemonade, how much more lemonade did Rehana. 47. Rehana drank. drink than Roshni? 3 1 (A) (B) 8 8 . (C). 3 4 . (D). 1 2. 5 48. A beaker is 7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker ?. (A) 50 litres. (B) 20 litres. (C) 70 litres. (D) 35 litres. 49. The sound of an aeroplane taking off is about 2.2 times louder than a person shouting. Which is the best estimate of the decibel level of an aeroplane taking. off if the decibel level of a person shouting is 65.4? (A) 340 (B) 140 (C) 200. (D) 100. 50. A car can travel 315 km on 30 litres of petrol. How far can the car travel if it has. 50 litres of petrol in its petrol tank? (A) 10.5 km (B) 189 km. (C) 525 km. Space for Rough Work. 4th IMO | Level-I | Class - 5. . (D) 840 km.

(31) 5th. Year 2011.

(32) 2. 5th IMO - 2011. Section I : Logical Reasoning 1. Ginni used pebbles to make a design. Row 1. in the sand. Based on this pattern, how. Row 2. many pebbles are there in row 6?. (A) 16 pebbles . Row 3. (B) 17 pebbles. Row 4. (C) 20 pebbles. (D) 21 pebbles. Row 5. 2. The figure is made up of identical triangles. What fraction. of the figure is unshaded ? (A) 4/7 (C) 8/19 . (B) 3/7 (D) 3/8. 3. About how many more bricks does Molly need in her pile to make it equal to 50 kilograms?. (A) 7 . (B) 8. (C) 45 . (D) 46. 4. This number machine used the same rule each time to find the output numbers shown here. If n is the input number, which rule could the machine have used to find each output number ?. (A) n ÷ 4. (B) n – 4. (C) n × 4. (D) n + 4. 5. Which of the following sentence must be true if the adjoining scale is balanced ?. (A). =. +. (B). =. –. (C). =. ×. (D). =. ÷. 6. Observe the given pattern.. If the pattern continues, which could be the next two figures?. (A). (B). (C). (D).

(33) 3. 5th IMO - 2011 7. The fact family shown below is missing a fact.. 3 × 8 = 24; 8 × 3 = 24; 24 ÷ 8 = 3; ___ ?__. Which is the missing fact?. (A) 24 ÷ 3 = 8 (B) 24 ÷ 4 = 6 (C) 24 + 3 = 27 (D) 24 – 4 = 20. 8. Peter went to watch a movie at a cinema. The movie started at 11:45 a.m. and lasted 1 h 45 min. Choose the clock face that correctly shows the time at which the movie ended.. (A). (B). (C). (D). 9. There are 10 children sitting in a row. Ali is the second child from the left while Devi is the second child from the right. How many children are sitting in between. Ali and Devi? (A) 4. (B) 6. (C) 7. (D) 8. 10. Kirti had a square page of stamps. She used some of the stamps from the centre of the page. The picture shows the stamps Kirti has left. How much area of the. page of stamps did Kirti use? (A) 6 square units (B) 9 square units (C) 12 square units (D) 16 square units. 11. In the adjoining figure how many different paths can be travelled from point A to point D by visiting a point only once?. (A) 2 . (B) 3. (C) 4 . (D) 5. 12. Johny used the rule "double the number" to create the pattern given below.. 3, 6, 12, 24, ____. Which pair of numbers is part of the pattern?. (A) 36, 72. (B) 48, 72. (C) 96, 144. 13. The given table shows the possible food. choices for lunch. How many different. lunches can be made that include 1 type. (D) 96, 192. Lunch Choices Soup Sandwich Salad Chicken Ham Vegetable Tomato Turkey Fruit. of soup, 1 type of sandwich and 1 type of salad?. (A) 2. (B) 3. (C) 6. (D) 8.

(34) 4. 5th IMO - 2011. 14. Look at the puzzle. Which piece completes the puzzle?. (A). . (B). (C). . (D). 15. Letters of a word have been jumbled up. You have to construct the word. Each letter has been numbered and is followed by four options. Choose the option which gives. the correct order of the letters as indicated by the numbers to form a word. N I W E T R 1 2 3 4 5 6 (A) 4, 5, 1, 3, 2, 6 (B) 1, 4, 5, 6, 3, 2 (C) 3, 2, 1, 5, 4, 6 (D) 1, 2, 3, 4, 5, 6. 16. Which of the figures below has the line of symmetry drawn correctly ?.. (A). (B). 17. Find the odd one out.. (A) 15 (B) 21. (C). (C) 27. (D). (D) 31. 18. Rohit is incharge of feeding breakfast to the animals on his farm. He feeds them 4 oats every morning. If Rohit has 16 oats left after feeding them on Sunday, what is the last day he will most likely have oats for the animals?. (A) Wednesday (B) Thursday (C) Friday (D) Saturday 19. Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person. could get? (A) The kind of cookies. (C) The number of cookies baked.. (B) The size of the cookies. (D) The time it took to bake the cookies.. 20. Riya asked the students in her class if they have any pets. Her results are shown below. . •   4 students have cats. •   8 students have fish. •   5 students have parrots. •  12 students have dogs. •   No student has a frog.. Based on the above information, which statement is most likely true? (A) Cats are better pets than Fish. (B) Fish are better pets than Dogs. (C) Frogs are the most popular pet. (D) Frogs are the least popular pet.. Section II : Mathematical reasoning 21. What is the numeric form of the number given below ? ‘‘One hundred four thousand, one hundred three’’. (A) 1,413 (B) 14,103 (C) 104,103 (D) 104,113.

(35) 5. 5th IMO - 2011 22. Which figure has only one base and one vertex?. (A). (B). (C). (D). 23. Jay arranged 48 books in 4 equal piles to find the quotient of 48 ÷ 4. How can. Jay use this method to find the quotient of 189 ÷ 9? (A) Put 189 books in 4 equal piles. (B) Put 189 books in 9 equal piles. (C) Add 189 to 48 books. Put them in 4 piles. (D) Add 189 to 48 books. Put them in 9 piles.. 24. Look at the calendar. What best describes the dates that are on Saturdays?. (A) Multiples of 2. (B) Multiples of 3. (C) Multiples of 4. (D) Multiples of 7. S 1 8 15 22 29. M 2 9 16 23 30. T 3 10 17 24 31. W 4 11 18 25. T 5 12 19 26. F 6 13 20 27. S 7 14 21 28. 25. Sara used cutouts of two triangles to make the figures shown below.. Which of the following (A) Both figures have the (B) Both figures have the (C) Both figures have the (D) Both figures have the. statements is true about the figures? same area.. same perimeter. same number of sides. same number of vertices.. 26. Look at the diagram of Shreya's yard. Which expression can Shreya use to find the perimeter of her yard?. (A) (4 × 4) + (2 × 8) . (B) (4 × 8) + (2 × 8). (C) (4 + 4) + (2 + 8) . (D) (4 × 8) + (2 × 4). 4m. 27. Sandy solved the adjoining problem in her math class. . What is another way that (A) Sandy can determine 78 (B) Sandy can determine 70 (C) Sandy can determine 78 (D) Sandy can determine 70. 8m. 4m. Sandy could solve the problem? × 10, then add that to 78 × 5. × 10, then add that to 8 × 5. × 10, then add that to 5 × 10. × 10, then add that to 15 × 10.. 8m. 78 ×15 390 +780 1170. 28. Look at the given figure. Which fraction represents the. shaded part of the figure? (A) 3/8 (C) 5/8 . (B) 3/5 (D) 5/3. 29. What is the solution to the given expression ?. 3 × 10 + (9 × 2) =. (A) 48 (B) 78 (C) 84. (D) 114. 4m 4m.

(36) 6. 5th IMO - 2011. 30. What is the area of the shaded figure?. (A) 20 square units. (B) 22 square units. (C) 26 square units. (D) 28 square units. . 31. Which list shows all the prime numbers between 0 and 22?. (A) 1,3,5,7,11,13,19 (B) 2,3,5,7,11,13,17,19. (C) 2,4,6,8,10,12,14,16,18,20,21 (D) 1,2,4,6,8,9,10,12,14,15,16,18,20,21 32. Which figure appears to have exactly two perpendicular sides?. (A). (B). (C). (D). 33. Multiply the smallest 3-digit number formed using the digits 4, 2 and 5 by 8.. (A) 4336 (B) 3400 (C) 2032 (D) 1960 34. The widths of two skateboards are shown in the table. Which number sentence correctly compares the widths of these two skateboards?. 1 (A) 8.125 < 8 8. (B) 8.125 = 8 1 8. (C) 8.125 > 8 1 8. (D) None of these. Skateboard Widths Skateboard Width in Inches X 8.125 Y 1 8 8. 35. Which item is the heaviest?. (A). 1 kg 100 g. (B). 1090 g. (C). 1400 g. (D). 1390 g. 36. Which of the following figures can be made by folding the adjoining. three-dimensional net along the dashed line segments?. (A). 37. Subtract : 2.38 − 1. (A) 0.48. (B). 9 = 100 (B) 1.29. (C). (C) 3.47. 38. Danish drew an angle as shown here. Sarah drew an angle that was twice the measure of Danish's angle. What was. the measure of Sarah's angle? (A) 20° (C) 80° . (B) 70° (D) 60°. (D). (D) 0.29.

(37) 7. 5th IMO - 2011 39. What is the missing fraction? 3 4. (A) 3/8. (B) 5/8. =. 3 8 (C) 6/8. (D) 7/8. 40. Each adjoining model is shaded to represent a decimal number. Which number sentence correctly compares. these decimal numbers? (A) 0.49 < 0.6 (B) 0.49 = 0.6 (C) 0.49 > 0.6 (D) None of these. Section III : Everyday Mathematics 41. Garima measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Garima’s bean plant at the end of week 5?. (A) 5 inches. (B) 5 1 inches 2. (C) 6 inches. (D) 6. 1 inches 2. 42. Jay is 86 cm tall. His father is twice as tall as Jay. How tall is Jay’s mother if she. is 18 cm shorter than his father? (A) 1 m 54 cm (B) 1 m 66 cm. (C) 1 m 72 cm. (D) 1 m 90 cm. 43. The information about Richa's favourite book is listed below:. •  There are 364 pages.     •  There are 14 chapters.. •  Each chapter has the same number of pages.. How many pages are there in each chapter of this book?. (A) 26 (B) 27 (C) 28 (D) 29 44. Farah and her friends are baking cookies for a school function. The recipe they are using states that they need 3/4 cups of sugar for every 3 dozen cookies they. make. If they make 7 dozen cookies, about how much sugar will they need? (A) Approximately 1 cup (B) Approximately 2 cups (C) Approximately 4 cups (D) Approximately 7 cups. 45. Anuj made a chart showing how much time he spends on homework in one week. Based on the information in the chart, which statement is true?. (A) Anuj has no homework on Monday.. (B) Anuj spends the most time on homework on Friday.. (C) Anuj spends the least amount of time on homework on Wednesday.. (D) Anuj spends more time on homework on Tuesday than. Time Spent on Homework Day Minutes Monday 20 Tuesday 45 Wednesday 45 Thursday 30 Friday 30 on Thursday..

(38) 8. 5th IMO - 2011. 46. Nidhi is going to make bracelets to sell for a function. She bought 8 metres of yarn. She wants to cut it into pieces that are 16 centimetres long for each bracelet.. How many bracelets can Nidhi make? (A) 2 (B) 6. (C) 50. (D) 128. 47. Ritesh helps his teacher to pass out books 4 times in a day. How many times does. Ritesh help his teacher in 5 days? (A) 5 (B) 9. (C) 20. (D) 25. 48. John has 45 stickers. Mary has 20 more stickers than John. How many stickers. must Mary give to John so that both of them have an equal number of stickers? (A) 5 (B) 10 (C) 25 (D) 55. 49. There are 18 pupils in a group. There are 10 boys and the rest are girls. 7 pupils are wearing glasses. If 3 girls are wearing glasses, how many boys are not wearing. glasses? (A) 3. (B) 6. (C) 8. (D) 9. 50. There were 1582 chicken eggs and 475 duck eggs in a basket. 128 chicken eggs. and duck eggs were broken. How many eggs were not broken? (A) 981 (B) 1929 (C) 2021 (D) None of these SPACE FOR ROUGH WORK.

(39) 6th. Year 2012.

(40) 2. Section I : Logical Reasoning 1. Complete the given number pattern.. (A) 35870. (B) 53870. (C) 53470. (D) 53570. 2. The given diagram shows the original position of a wheel. Which of the following diagrams shows the correct position of the wheel after it has been turned 3. (A). 3.. Which of the following words CANNOT be formed from the given word?. (B). 1 turns to the left ? 8. MATHEMATICS (C) MENTAL. (D). (A) TIME. 4.. Which of the following fractions represents shaded part of the figure?. (A). 5.. Housing Board built 100 flats. A painter is engaged to serially number each flat individually from. 1 to 100. How many times will he be required to write zero? (A) 10 (B) 8 (C) 9. 6.. Study the table below. In which column will the number 55 appear ?. (A) W. 4. 12. (B) MAT. (C). (B). 5. 12. (B) X. (C). 7. 12. (C) Y. (D) TAME. (D). 6 12. (D) 11. (D) Z.

(41) 3 7.. How many connecting bars will there be in pattern 123 ?. (A) 615. 8.. Preeti was facing the park at the beginning. She turned anti-clockwise to. face north-west. What angle did she turn through ? (A) 180° (B) 135° (C) 225° (D) 230°. (B) 1235. (C) 245. (D) 1225. 9. The missing number in the box is ______.. (A) 687629. 737629, 717629, (B) 607629. ? , 677629, 657629 (C) 707629. (D) 697629. 10. How many of the following letters have only 2 lines of symmetry?. (A) 0. (B) 1. (C) 2. (D) 3. 11. In a queue of 40 students, Ankita is 20th from last. What is her rank from first ?. (A) 21 (B) 20 (C) 19 (D) 22 12. Net _____ cannot be folded to make an open cubical box.. (A) P only. (B) Q only. (C) R only. (D) S only. 13. What is missing number in the box ?. (A) 4. (B) 40. 8147 = 8000 + 100 + + 7 (C) 400. (D) 4000. 14. Garima is facing the Community centre. What will she be facing if she turns 270° clockwise ?. (A) Mall. (B) School. (C) Temple. (D) Park.

(42) 4 15. Which of the following figures will complete the given figure ?. (A). (B). 16.. Count the number of triangles in the given figure. (A) 8 (B) 10 (C) 14 (D) None of these. (C). (D). . 17. Study the diagram. If a person starts walking from point P and wants to reach. point Q, in how many directions will that person have to walk? (A) 10 (B) 8 (C) 20 (D) 7. 18. There is a certain relationship between figures 1 and 2. Identify the relationship and establish the similar relationship between figures 3 & 4 by selecting a figure from the options.. ? 1. (A). (B). 2. 3. 4. (C). (D). 19. Read the following information carefully.. (i) P and Q play Football and Hockey.. (ii) R and S play Badminton and Cricket.. (iii) Q and R play Cricket and Football.. (iv) P and S play Hockey and Badminton.. One who plays Badminton, Football and Hockey is ______. (A) P (B) Q (C) R. (D) S. 20. The given net represents which of the following shape ?. (A). (B). (C). (D).

(43) 5. Section II : Mathematical reasoning 21. The length of a rectangular painting is 15 cm and its breadth is 10 cm. There is a border around the painting. Find the area of the border.. (A) 336 sq. cm. (B) 150 sq. cm. 22. Find the value of 624.7 + 39.29.. (A) 101.76 (B) 663.99. (C) 114 sq. cm. (D) 186 sq. cm. (C) 66.399. (D) 660.79. 23. Select the correct Roman numerals in Column I with Hindu-Arabic numerals in Column II. . (A). (B). (C). (D). Column I Column II CCXVIII 318 DCCLXIX 769 MMMCCXCIX 3399 VDCCXLVII 5748. 24. The piece of wood shown is cut into 4 equal pieces. Length of each of the piece of wood is ____.. (A) 2.25 m . (B) 2.5 m . (C) 2.4 m . (D) 3.5 m. 25. The difference between the value of P and Q is ________.. (A) 4. (B) 1. (C) 3. (D) 2. 26. Which of the following figures has the largest perimeter?. (A) Q. (B) P. (C) R. (D) S. 27. If x is 6th multiple of 3 and y is 4th multiple of 3, then the LCM of x and y is ______.. (A) 36. (B) 72. (C) 48. (D) 54.

(44) 6 28. What is the value of 600 + 1200 ÷ 6 × 2 + 400 × 2 ?. (A) 1400. (B) 1500. (C) 1800. (D) 2000 . 29. Which of the following step is wrong for the given below mathematical sentence? . 37091 – 72 ÷ 3 × 687 + 5973. . Step I : 37091 – 24 × 687 + 5973 (Divide). Step II : 37091 – 16388 + 5973 (Multiply). . Step III : 43064 – 16488 (Add). . Step IV : 26386. (B) Step III and IV. (A) Step I only. (C) Step II only. 30. Which of the following figures do not have more than. (A). (B). (D) Step II and IV. 1 of its area shaded ? 3. (C). (D). 31. Which number should come in place of * to make the number divisible by 3 ?. (A) 5 . (B) 0. 1526 * 85 (C) 2. (D) 1. 32. Find the value of P?. (A) 3 . (B) 7. (C) – 4. (D) 9. 33. What is the greatest number of toys that can be bought with ` 100 ?. (A) 12. (B) 11. (C) 13. (D) None of these. (C) P. (D) S. 34. Which shape has the largest area ?. (A) Q. (B) R.

(45) 7 35. Find the greatest number which divides 36 and 84 leaving no remainder in each case.. (A) 6 (B) 9 (C) 12 (D) 18 36.. Which (A) 1, (B) 2, (C) 3, (D) 2,. 37. If. list shows all the prime numbers between 1 to 50 ? 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 3, 5, 7, 11,13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 21, 17, 19, 23, 29, 37, 43, 47 +. +. (A) 15. +. = 60 and 2 (B) 25. = 30, then find the value of. +. .. (C) 12. (D) 20. (C) 100 crore. (D) 10 lakh. (C) 2.3749 > 2.4749. (D) None of these. 38. Hundred million = _______.. (A) 10 crore. (B) 1 crore. 39. Which of the following expressions is true ?. (A) 2.3749 > 2.0349. (B) 2.03749 < 2.003749. 40. Which of the following is equal to. (A). 2 ÷ 1 3. (B) 1÷. 1 ? 3. 4. 6. (C). 1 ×4 12. (D). 2 2 ÷ 6 6. Section III : Everyday Mathematics 41. In a box there are 199653 red marbles, 87653 blue marbles and 76998 green marbles. Find the total number of marbles.. (A) 364304. (B) 364403. 42. Priya had 3200 mL of olive oil. She used. How much oil was left ? (A) 1280 mL (B) 1920 mL. (C) 344304 2 1 of it in the first week and 5 8 (C) 1520 mL. 43. Which of the following is the best estimate for 3095 × 84 ?. (A) 3100 × 90 (B) 3100 × 80 (C) 3000 × 90. (D) 364344 of it in the second week. (D) 1680 mL (D) 3000 × 80. 44. Three shirts and 7 pairs of pants have a total of 55 buttons. Each pair of pants has 5 fewer buttons. than each shirt. How many buttons are there on each shirt ? (A) 4 (B) 9 (C) 25. (D) 30. 45. Avni participated in a race. She took 1 hour 36 minutes and 14 seconds to complete the race. How. many seconds she took in completing the race ? (A) 2220 seconds (B) 2234 seconds (C) 5760 seconds. (D) 5774 seconds. 46. A fruit seller had 240 pears. 36 of them were bad. The remaining pears were sold at 3 for ` 5. How. much did he collect from the sale ? (A) ` 410 (B) ` 340. (C) ` 300. (D) ` 450. 1 of his marbles to Dhruv, Dhruv 6 had twice as many marbles as Hemant. How many marbles had Dhruv at first ?. 47. Dhruv and Hemant had 60 marbles altogether. After Hemant gave. (A) 30. (B) 24. (C) 36. (D) 25.

(46) 8 48. Reeta had just enough money to buy exactly 15 exercise books. She bought 8 exercise books which cost ` 17.5 each. How much money she had for 15 exercise books?. (A) ` 262.5. (B) ` 525.75. (C) ` 280.5. 49. A car travelled 384 kms in 6 hours. How far did it travel in 4 hours ?. (A) 96 kms (B) 576 kms (C) 256 kms. (D) ` 245.5 (D) 384 kms. 50. Megha has holidays on every second and fourth Saturday of a month. On which dates she has holidays in January 2013?. (A) 1st and 15th. (B) 8th and 29th. (C) 1st and 22nd. SPACE FOR ROUGH WORK. (D) 12th and 26th.

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Useful conservation guidelines specific to this nesting beach can be derived from our results: (1) loggerhead nests near the high tide line and at risk of erosion and inundation can