Class 8 Imo 5 Years EBook

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(2) Copyright © 2015 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. 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 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 Office : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana. Phone : 0124 - 4951200 Web: mtg.in Email: [email protected] Regd. Office : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029. Visit. www.mtg.in for buying books online..

(3) CLASS 12. Contents ªª 4th IMO 2010 ªª 5th IMO 2011 ªª 6th IMO 2012 - SET A ªª 6th IMO 2012 - SET B ªª 7th IMO 2013 - SET A ªª 7th IMO 2013 - SET B ªª 8th IMO 2014 - SET A ªª 8th IMO 2014 - SET B.

(4) 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.

(5) 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.

(6) 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.

(7) 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.

(8) MTG Work-Books / olympiad books CLASS 11. International Mathematics Olympiad. Math IQ Challenge. Science IQ Challenge. National Science Olympiad. Psychology of Success. National Cyber Olympiad. The Secrets of SUCCESS. Master Mental Ability in 30 Days. CLASS 12. International Mathematics Olympiad. Math IQ Challenge. Science IQ Challenge. National Science Olympiad. Psychology of Success. National Cyber Olympiad. The Secrets of SUCCESS. Master Mental Ability in 30 Days.

(9) Class. 1 to 10.

(10) JEE (Main & Advanced) | AIPMT | BOARDS | OLYMPIAD | NTSE. FOUNDATION COURSE For Classes 7, 8, 9 & 10 Class 7. Class 8. Class 9. Class 10.

(11) Class 8 4th. Year 2010. Copyright©2015. Science Olympiad Foundation (SOF).

(12) 4th IMO - 2010. SECTION I : LOGICAL REASONING 1. . The square tiles given here are arranged to show a pattern. Which expression can be used to determine the number of square tiles in Stage n? (A) 4n + 3 . 2. . Stage 1 Stage 2 . 2 . (B) 5n + 2 . (C) n + 6 . Stage 3 . Stage 4 . 3 . (D) n + 6 . Which of the following figures comes next in the given pattern ? ? ____ . (A) 3. . (D) . (B) ROTAGAIL . (C) ROTAGILE . (D) OTAGILAR . If 'bat' is 'racket', 'racket' is 'football', 'football' is 'shuttle', 'shuttle' is 'ludo' and 'ludo' is 'carrom', what is cricket played with ? (A) Racket . 5. . (C) . In a certain code INACTIVE is written as VITCANIE. How is ALIGATOR written in that code ? (A) ROTAGILA . 4. . (B) . (B) Football . (C) Bat . (D) Shuttle . Shivani saw the restaurant sign shown below. Manager's Special Choose 1 main dish, 1 side dish, and 1 bread for ` 880. Main Dish Side Dish Bread Meat loaf Corn Dinner roll Biscuit Chickenfried steak Beans Mashed potatoes Macaroni & Cheese . How many different combinations are possible if Shivani buys the Manager's special ? (A) 8 6. . (C) 24 . (D) 11 . In the series 6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8, how many pairs of successive numbers have a difference of 2 each ? (A) Four . 7. . (B) 16 . (B) Five . (C) Six . (D) Seven . This Venn diagram is used to classify counting numbers according to a set of rules. Which one of the following numbers belongs in the region of the 32 diagram marked by the question mark ? 4 28 . (A) 45 . 6 . 16 12 . 8 . (B) 50 . 20. (C) 60 . 5 . 3 9 . ? 25 . 15 35 10 . (D) 65 8. . If you cut out and fold the pattern shown on the right to make a cube, which letter will be on the face of the cube opposite the face labelled 3 ? (A) 2 . 4 th IMO | LevelI | Class 8 . (B) 1 . (C) 5 2 . Copyright©2015. Science Olympiad Foundation (SOF). (D) 6. 5 1 2 3 4 6 .

(13) 4th IMO - 2010. 9. . The given chart shows how much the Party house charges for pizza parties for different number of people. If n stands for the number of people and C stands for the cost in `, which equation represents the information in the chart? (A) C = 5n + 100 (C) C = 5n + 40 . (B) C = n + 45 (D) C = 2n + 35 . Number of People . Cost . 5 . ` 125 . 8 . ` 140 . 12 . ` 160 . 20 . ` 200 . 10. Which is the top view of the prism? . (A) . (B) . (C) . (D) . 11. The given question consists of four figures 1, 2, 3 and 4 called the Problem Set. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the options that would replace the question mark (?) in fig. (4). Problem Set . ? 1. (A) . 2. 3. (B) . 4 . (C) . (D) . 12. Which number would replace the question mark in the series ? 7, 12, 19, ?, 39 (A) 39 . (B) 28 . (C) 26 . (D) 24 . 13. Anusha remembers that her brother Kabir's birthday falls after 20 th May but before 28 th May, while Pia remembers that Kabir's birthday falls before 22 nd May but after 12 th May. On what date Kabir's birthday falls ? (A) 20 th May . (B) 21 st May . (C) 22 nd May . (D) 12 th May . 14. The mirrorimage of the figure(X), when mirror is placed along PQ from amongst the four alternatives is___ P . Q . ´ Fig. (X) . (A). ´. (B). (C) . ´. (D). ´. 15. How many triangles are there in the given figure ? (A) 8 . (B) 10 . (C) 11 . (D) 12 3 . Copyright©2015. Science Olympiad Foundation (SOF). 4 th IMO | LevelI | Class 8 .

(14) 4th IMO - 2010. 16. A is father of C and D is son of B. E is brother of A. If C is sister of D, how is B related to E ? (A) Daughter . (B) Brother . (C) Husband . (D) Sisterinlaw . 17. If '–' means '´', '´' means '+', '+' means '¸' and '¸' means '–', then 40 ´ 12 + 3 – 6 ¸ 60 = ? (A) 7.95 . (B) 16 . (C) 44 . (D) 4 . 18. Which letter will be the fifth from the right if the first and second, the third and fourth and so on are interchanged among each other in the word " COMPANIONATE"? (A) A . (B) I . (C) N . (D) O . 19. Which one of the following sets is best represented in the adjoining diagram? (A) Animals, Insects, Cockroaches . (B) Country, States, Districts . (C) Animals, Males, Females . (D) States, Districts, Union territories . 20. Find the missing character from among the given options. (A) 22 . (B) 30 . 5 12 . (C) 32 . (D) 42 . 4 . 6 . 6 . 21 7 5 . 4 . ? . 8 . 10 . SECTION II : MATHEMATICAL REASONING 21. Supriya is standing in the Sun close to a lamp post. Supriya is 5 feet lamp post . tall and her shadow is 2 feet long. The shadow of the lamp post is 8 feet long. How tall is the lamp post ? (A) 20 ft . ? . (B) 18 ft 5 ft . (C) 16 ft . 8 ft . (D) 14 ft . 2 ft . 22. What is the value of 3(x 2 – 4x) when x = 5? (A) 5 23. The value of. (B) 15 . (C) 30 . (D) 55 . (C) 107 . (D) 109 . 1 1 1 + + is ____ -2 /3 -3 / 4 (216) (256) (32) -1/5 . (A) 102 . (B) 105 . 24. What is the value of x in the given equation? (3 x + 1) (2 x - 3) ( x + 3) (3 x - 1) + = + 16 7 8 14 (A) 2 . (B) 4 . (C) 3 . (D) 5 . 25. Last year Mr. Nitin earned ` 5,800 from the corn he grew on his farm. This year he expects a 7% increase in the income from corn. How much does he expect to earn from corn this year? (A) ` 406 . (B) ` 6,206 . (C) ` 8,600 . (D) ` 9,600 . 26. The radius of the large circle is equal to the diameter of the small circle. If the area of the small circle is 13 m 2 , what is the area of the shaded region? (A) 55 m 2 4 th IMO | LevelI | Class 8 . (B) 48 m 2 . (C) 39 m 2 . 4 . Copyright©2015. Science Olympiad Foundation (SOF). (D) 26 m 2.

(15) 4th IMO - 2010. 27. If DRTW @ DABC , what is the measure of ÐT in the given figure ? (A) 12° . B . T . (B) 72° (C) 80° . A . 72° . 18° . C . R . W . (D) 90° 120 m 2 n -3 . 28. Write (A) . 60 m 5 n -2 . in simplest form using only positive exponents. Assume that m ¹ 0 and n ¹ 0. . 2n 3 . m . (B) . 2 . (C) . 3 . m n . 2m 3 n . (D) . 1 2m 3 n . 29. A 2 cm long grasshopper can jump 160 cm. If a 6 metre tall animal had the same height and jump ratio, how far could he jump? (A) 48 m . (B) 480 m . (C) 180 m . (D) 8000 m . 30. John made the given grid to show the location of some things in his garden. Which ordered pair best represents the point on the grid labelled "Tree" ? (A) (2, 6) (B) (3, 1) (C) (1, 3) (D) None of these 31. Students at a local college were asked how many hours they slept last night. The adjoining chart shows the data. A bar graph of this data will be made on a grid that is 20 units. What scale would be most appropriate for the axis labelled "Number of Students" ? (A) 1 unit = 1 student . (B) 1 unit = 2 students . y 9 8 7 Swing set 6 5 4 Tree Birdbath 3 2 Flowers 1 0 1 2 3 4 5 6 7 8 9 . Hours of Sleep 6 7 8 9 More than 10 . x . Number of Students 14 26 28 15 6 . (C) 1 unit = 10 students (D) 1 unit = 28 students . 32. ABCD is a parallelogram. The angle bisectors of ÐA and ÐD meet at O. The measure of ÐAOD is ____. (A) 45° . (B) 90° . (C) Depends on the angles A and D . (D) Not able to determine from given data . 33. Which of the following numbers does NOT have a multiplicative inverse? (A) -. 1 3. (B) 0 . (C) 1 . (D) 3 . 34. The radius of the cylinder whose lateral surface area is 704 cm 2 and height 8 cm, is ____. (A) 6 cm . (B) 4 cm . (C) 8 cm . (D) 14 cm . 35. Which expression is equivalent to 5[4 + 3(x – 6)] ? (A) 15x – 10 . (B) 15x – 70 . (C) 15x – 14 5 . Copyright©2015. Science Olympiad Foundation (SOF). (D) 15x – 110 4 th IMO | LevelI | Class 8 .

(16) 4th IMO - 2010. 36. Between which two consecutive whole numbers 1, 000 lies ? (A) 29 and 30 . (B) 30 and 31 . (C) 31 and 32 . (D) 32 and 33 . 37. Which two quadrilaterals have exactly one line of symmetry ? (A) (1) and (5) . (B) (2) and (3) . (C) (1) and (4) . (D) (2) and (5) . (1) . (2) . 38. Which of the following expressions represents the distance around the triangle ? (A) 5x + 39 . (B) 4x – 37 . (C) 4x + 39 . (D) 6x + 47 . (3) . (4) . 40 – x . (5) . 2x + 3 3x – 4 . 39. What are the lengths of the sides of a triangle that has a perimeter of 24 centimetres ? (A) 6 cm, 6 cm, 12 cm . (B) 7 cm, 7 cm, 10 cm . (C) 3 cm, 8 cm, 13 cm . (D) 4 cm, 5 cm, 15 cm . 40. Manish saw the given figure while he was reading a book on astronomy. How is the distance from Venus to the Sun written in scientific notation ? . Sun . (A) 67.23 × 10 6 miles 67,230,000 miles . (B) 0.6723 × 10 8 miles (C) 6.723 × 10 4 miles Venus . (D) 6.723 × 10 7 miles . SECTION III : EVERYDAY MATHEMATICS 41. The Wright brothers had their first successful flight near Kitty Hawk, North Carolina. Mr. Satish finds it easy to remember the year in which the flight occurred because the number 3, 621, 502 , the square root of his telephone number is nearest to a whole number. In which year did the flight occur? (A) 1902 . (B) 1903 . (C) 1904 . 42. Dhruv plans on leaving his home in Delhi at 8:00 A.M. He will drive at an average speed of 40 km per hour and plans to arrive at his destination just before 11:00 A.M. If he makes no stops along the way, which of the four places is his destination? (A) w . (B) x . (C) y . (D) z . (D) 1905 Delhi . 43. Jasmine is a much better tennis player than Reshma. They decide to have a contest. Every time Jasmine wins a game, she will earn 3 points and every time Reshma wins a game, she will earn 5 points. If they play 48 games and the final score is tied, how many games did Jasmine win ? (A) 50 . (B) 40 . (C) 30 . (D) 18 . 44. Sushmita used 200 square tiles to tile her kitchen floor. Of these, 66 tiles were green. What percent of the tiles were green ? (A) 134% 4 th IMO | LevelI | Class 8 . (B) 66% . (C) 33% 6 . Copyright©2015. Science Olympiad Foundation (SOF). (D) 3.03%.

(17) 4th IMO - 2010. 45. Nalini and three of her friends worked together to make a quilt. The given table lists the fractional part of the quilt that each of the girls made. Which list shows the girls in order from the one who sewed the most to the one who sewed the least ? (A) Reena, Nalini, Shalini, Kamini (B) Shalini, Nalini, Kamini, Reena (C) Reena, Kamini, Nalini, Shalini (D) Kamini, Shalini, Nalini, Reena . Girl . Parts Sewn 3 Nalini 8 1 Kamini 5 2 Shalini 5 1 Reena 40 . 46. Two flower beds in a park are similar rectangles of same width. The longest side of the large flower bed is 24 cm long, and the longest side of the small flower bed is 8 cm. If L is the area of the large flower bed and S is the area of the small flower bed, which equation is true? (A) S = L – 16 . (C) S =. (B) S = L + 16 . 1 L 9 . (D) S =. 1 L 3 . 47. A machine takes 12 minutes to fill 200 bottles of soda. At this rate, how many minutes will it take the machine to fill 500 bottles of soda? (A) 25 minutes . (B) 28 minutes . (C) 30 minutes . (D) 40 minutes . 1 48. Jiah is building birdhouses. It takes her 3 hours to build 4 birdhouses. Which of the following is 2 an equivalent rate ? . (A) 14 hours to build 18 birdhouses . (B) 28 hours to build 35 birdhouses . (C) 7 hours to build 8 birdhouses . (D) 21 hours to build 28 birdhouses . 49. Madhuri is on the fourth floor of a building. Her car is in the parking garage three levels below the ground floor. She gets in the elevator and travels from the fourth floor above ground level to the third floor below ground level. How many floors did she travel ? (A) 3 . (B) 1 . (C) 4 . (D) 7 . 50. Mrs. Ravina needs to take a taxi to the doctor's clinic. The taxi ride costs ` 13.00 for the first km and ` 6 for each km thereafter. How much does Mrs. Ravina pay for a 2.3 km taxi ride? (A) ` 25 . (B) ` 28 . (C) ` 32 . (D) ` 30 . SPACE FOR ROUGH WORK. 7 . Copyright©2015. Science Olympiad Foundation (SOF). 4 th IMO | LevelI | Class 8 .

(18) Class 8 5th. Year 2011. Copyright©2015. Science Olympiad Foundation (SOF).

(19) 2. 5th IMO - 2011. Section I : Logical Reasoning 1. Choose a number from the options that will continue the same pattern and replace the question mark in the given series.. (A) 201. 6, 13, 25, 51, 101, ___ ? (C) 203. 2.. In a row of boys facing North, A is sixteenth from the left end and C is sixteenth from the right. (B) 202. (D) 205. end. B, who is fourth to the right of A, is fifth to the left of C in the row. How many boys are there. in the row ? (A) 39. (B) 40. (C) 41. (D) 42 P. 3. Choose the correct mirror-image of Fig. (X) from amongst the options if the mirror is placed along PQ.. (A). (B). (C). (D). Fig. (X) Q. 4. The given equation becomes correct due to the interchange of two signs. One of the four options under it specifies the interchange of signs in the equation which when made will make the equation correct. Find the correct option.. (A) ÷ and ×. (B) + and ×. 5 + 6 ÷ 3 – 12 × 2 = 17 (C) + and ÷. (D) + and –. 5. Choose one word which can be formed from the letters of the given word.. RECOMMENDATION (B) MEDIATE (C) REMINDER. (A) MEDICINE. 6.. Figures (i), (ii), (iii) and (iv) constitute the Problem Set. There is a definite relationship between. (D) COMMUNICATE. figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace the question mark (?) in fig. (iv).. (A). (B). (C). (D). Problem Set. . ? (i). (ii). SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (iii). (iv).

(20) 3. 5th IMO - 2011. 7. Choose the Venn diagram which best illustrates the three given classes "Dogs, Animals, Pets".. (A). (B). (C). (D). 8. A matrix of certain characters is given. These characters follow a certain. 2 3 4. trend, row-wise or column-wise. Find out this trend and choose the missing character from the given options.. (A) 2765. (B) 3125. (C) 8796. 9.. Count the number of triangles in the given figure. (A) 20 (B) 22 (C) 23 (D) None of these. 2 2 2. 256 ? 46656. (D) 30008. 10. Select a figure from amongst the options which would complete the pattern of Fig. (X). (A). . . (C). (B). . (D). 11. Choose that set of numbers from the options that is similar to the given set.. (A) (56, 52, 44). (81, 77, 69) (B) (46, 61, 53) (C) (75, 71, 60). (D) (92, 88, 79). 12. A man is facing north-west. He turns 90° in the clockwise direction and then 135° in the anti. clockwise direction. Which direction is he facing now? (A) East (B) West (C) North. (D) South. 13. Select from amongst the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.. (A). (B). (C). (D). . SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF).

(21) 4. 5th IMO - 2011. 14. Choose the odd numeral pair/group.. (A) 5 : 50 (B) 8 : 128. (C) 11 : 242. (D) 15 : 370. 15. If ZIP = 30 and ZAP = 38, then how will you code VIP?. (A) 174 (B) 43 (C) 34. (D) 113. 16. How many 5's are there in the following number sequence which are immediately preceded by 7 and immediately followed by 6?. 7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8 (A) One. (B) Two. (C) Three. (D) Four. 17. There are seven figures, the first and last of which are un-numbered and the remaining are numbered as 1, 2, 3, 4 and 5. These seven figures form a series. However, one of the five numbered figures does not fit into the series. Find that figure from the options given below.. 1. (A) 5. (B) 2. 2. 3. 4. 5. (C) 3. (D) 4. 18. Select a figure from amongst the options which will continue the same series as established by. C. (D). C. 19. Group the given figures into three classes using each figure only once.. (A) 1, 3, 6; 2, 4, 9; 5, 7, 8. (B) 1, 5, 7; 2, 8, 9; 3, 4, 6. (C) 1, 3, 9; 2, 5, 6; 4, 7, 8. (D) 1, 3, 9; 2, 4, 7; 5, 6, 8 SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). S. S. C. C. Problem Figures. C. TS. (C). C. TS. C. (B). C. TS. T. (A). TS. TS. the five Problem Figures.. ?.

(22) 5. 5th IMO - 2011. 20. Arrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the options provided below.. 1.. Police. (A) 1, 2, 3, 4, 5. 2. Punishment. 3. Crime. (B) 3, 1, 5, 4, 2. 4. Justice. (C) 3, 1, 4, 5, 2. 5. Judgement (D) 5, 4, 3, 2, 1. Section II : Mathematical reasoning 21. The sum of two numbers is 12 and their product is 35. What is the sum of the reciprocals of these. numbers? 12 (A) 35 . 1 (B) 35. (C). 7 32. 35 8 . (D). 22. The ages of Mira, Tina and Sania are in the ratio 6 : 4 : 7 respectively. If the sum of their ages is 34 years, what is Sania's age?. (A) 12 years. (B) 10 years. (C) 18 years. (D) 14 years. 23. Mehul plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apple trees in each row. The number of rows is _____.. (A) 124. (B) 126. (C) 134. (D) 144. Direction (Q. 24-25): Study the following table carefully to answer the following questions. Marks Obtained by Five Students in Three Subjects out of 100 Student. Subjects Math. Science. English. Mohit. 94. 83. 74. Sameer. 72. 88. 68. Rachna. 86. 75. 66. Purab. 90. 61. 82. Mansi. 68. 67. 71. 24. What are the average marks obtained by all the students in Math?. (A) 137 (B) 82 (C) 75. (D) 98. 25. What is the respective ratio of marks obtained by Mansi in Science and English together to the marks obtained by Rachna in the same subjects?. (A) 17 : 18. (B) 11 : 13. (C) 46 : 47 SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) 21 : 23.

(23) 6. 5th IMO - 2011. 26. Find the value of. (A) 0.02. 3. 0.000064 . (B) 0.2. (C) 2. (D) None of these. 27. Which of the following numbers is exactly divisible by 99?. (A) 114345. (B) 135792. (C) 3572404. (D) 913464. 28. The difference between the place value and the face value of 6 in the numeral 856973 is _____.. (A) 973. (B) 6973. (C) 5994. (D) None of these. (C) 13.9. (D) 20. 8 .6 × 5 .3 + 8 .6 × 4 .7  is _____. 29. The value of   4.3 × 9.7 − 4.3 × 8.7 . (A) 3.3. (B) 6.847. 30. Shreya bought an article and sold it for 125% per cent of its cost price. What was the cost price of the article, if Shreya sold it for ` 30,750?. (A) ` 24,600. (B) ` 25,640. (C) ` 24,250. (D) ` 23,200. 31. What would be the cost of laying carpet on a floor which has length and breadth in the respective ratio of 32 : 21 and perimeter 212 feet, if the cost per square foot of laying carpet is ` 2.5 ?. (A) ` 6,720. (B) ` 5,420. (C) ` 7,390. (D) None of these. (C) 5. (D) 7. 32. If 2n – 1 + 2n + 1 = 320, then n is equal to _____.. (A) 6. (B) 8. 33. A sum of money invested at compound interest amounts to ` 800 in 3 years and to ` 840 in 4 years. The rate of interest per annum is _____.. 1 (A) 2 2 % . (B) 4%. (C) 5%. 2 (D) 6 3 %. 34. In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?. (A). 1. 6. (B). 1. 4. (C). 2. 3. (D). 3 4. 35. If 35% of a number is 12 less than 50% of that number, then the number is _____.. (A) 40. (B) 50. (C) 60 SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) 80.

(24) 7. 5th IMO - 2011. 36. Smallest angle of a triangle is equal to two-third the smallest angle of a quadrilateral. The ratio of the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle of the quadrilateral?. (A) 160°. (B) 180°. (C) 190°. (D) 170°. 37. Soha purchased an item for ` 9,600 and sold it for loss of 5 per cent. From that money she purchased another item and sold it for gain of 5 per cent. What is her overall gain/loss?. (A) Loss of ` 36. x 38. If x. (A). 3/2. (B) Profit of ` 24. (C) Loss of ` 24. (D) None of these. 16 (C) 25 . 8 (D) 27. = ( x 3 / 2 ) x , then the value of x is _____.. 3. 2. (B). 9. 4. 39. What number will come in place of question mark?. ( 8 × 8 )1/ 2 + (9)1/ 2 = (?)3 + 8 − 340 (A) 7. (B) 19. (C) 18. (D) 9. 40. Which of the following statements is INCORRECT?. (A) All rhombuses are parallelograms. (B) All squares are not parallelograms.. (C) All rectangles are not squares. (D) All squares are trapeziums.. Section III : Everyday Mathematics 41. The total area of a circle and a rectangle is equal to 1166 sq. cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm ?. (A) 186 cm (B) 182 cm (C) 184 cm (D) 132 cm  3  th 42.   of a number is 20 more than half of the same number. The required number is _____. 4. (A) 50 (B) 180 (C) 90 (D) 80 43. A merchant has 140 litres, 260 litres and 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is _____.. (A) 20 litres. (B) 13 litres. (C) 16 litres. SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) 70 litres.

(25) 8. 5th IMO - 2011. 44. The ratio of ages of Kunal and Deepesh is 3 : 5. After 10 years this ratio becomes 5 : 7. What is the present age of Deepesh?. (A) 20 years. (B) 25 years. (C) 50 years. (D) 15 years. 45. Out of a number of electronic items, Rohit purchases 60% coloured T.Vs. 5% of these are found. to be defective. The percentage of defective T.Vs in all is _____. (A) 3% (B) 6% (C) 12%. (D) Can't be determined. 46. The difference between compound interest and simple interest for 3 years @ 20% p.a. is ` 152.. What is the principal lent in each case ? (A) ` 1200 (B) ` 1155. (C) ` 1187.50. (D) None of these. 47. A can do a piece of work in 10 days, B can do it in 15 days. If they both work together they can. finish the work in _____. (A) 9 days (B) 8 days. (C) 10 days. (D) 6 days. 48. A path of uniform width runs all around the inside of a rectangular field 116 metres by 68 metres. and occupies 720 square metres. Find the width of the path. (A) 1 metre (B) 1.5 metres (C) 2 metres. (D) 4 metres. 49. Mohan gets 3 marks for each correct answer and loses 2 marks for each wrong answer. He attempts. 30 problems and obtains 40 marks. The number of problems solved correctly is _____. (A) 10 (B) 15 (C) 20 (D) 25. 50. Harry goes to a shop to buy a watch costing ` 1404 including sales tax of 8%. He asks the shopkeeper to reduce the price of the watch so that he can save an amount equal to the sales. tax. The reduction in the price of the watch is _____. (A) ` 108 (B) ` 104 (C) ` 112.32 SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) None of these.

(26) Class 8 6th. SET A Year 2012. Copyright©2015. Science Olympiad Foundation (SOF).

(27) 2. 6th IMO - SET A Section I : Logical Reasoning. 1.. Latika delivers bottled water to stores in Delhi. She delivers to MTG's Bookstore every 6th day and to Sammy's Bookstore every 9th day. On Thursday the 4th, she will deliver water to both of these stores. How many days after that will she deliver to both stores on. the same day again? (A) 17. (B) 18 . (C) 19. (D) 16. 2.. Find out the correct letter pair from the options, to denote the same relationship among the group of letters as established between the sets given below.. (A) AC : RU. RT : WZ :: _______ : _______ (B) AB : PW (C) PR : LM . (D) TU : WX. 3. If 'FRIIHH' stands for 'COFFEE', how will you write 'NOODLES'? . (A) RSSHPIW (B) PQQFNGU (C) QRRGOHV (D) RSSHPIV 4. Terrorists who are not hard-core criminals are represented by ______. . (A) 2. (B) 3. (C) 4. (D) 1. 5. A tourist drives 10 km towards east and turns to the right hand and drives 3 km. Then he drives towards west (turning to his right) 3 km. He then turns to his left and drives 2 km. Finally he turns to his right and travels 7 km. How far is he from his starting point and in which direction would. he be ? (A) 10 km, East. 6.. The relationship in the first set (1 & 2) of Problem Figures is given. Based on the same relationship,. (B) 5 km, South. (C) 8 km, West. (D) 5 km, West. find the suitable figure from answer figures to fit in the blank space of second set (3 & 4).. (A). 7.. Find the odd one amongst the set of figures of a series.. (A) Q. (B). (B) R. (C). (C) T. Copyright©2015. Science Olympiad Foundation (SOF). (D). (D) U.

(28) 3. 6th IMO - SET A 8.. Find a figure from the options in which Fig. (X) is embedded as its part. (A). . (B). . (C). . (D). 9.. Select the figure from the options which completes the Fig.(X). (A). . (B). . (C). . (D). 10. Select the figure from the options which should complete the series formed by Problem Figures 1, 2, 3 and 4.. (A). (B). (C). (D). 11. The Sharmas have three children Sunita, Sanjay and Sheela. Sunita is married to Sonil Mahajan and they have a son Shoban. Sheela marries Sanjay Bhandari and Vinit and Lily are their children. Sanjay. (Sunita's brother) is younger to Sunita but elder to Sheela. What is the surname of Shoban ? (A) Bhandari (B) Sharma (C) Mahajan (D) None of these. 12. Study the following letter-number arrangement and answer the question given below. B 8 4 C R M 9 P D K W F A 2 E J 7 X U Q H L T Y 6 G S If every alternate letter/number is dropped in the above arrangement beginning with dropping '4' as first number to be dropped, which of the following will be third to the right of the fifth letter/. number from left end? (A) W (B) 2. (C) 7. (D) A . 13. Find the missing number in Fig.(X).. (A) 56 . (B) 58. (C) 60. (D) 62. 14. If '>' denotes '+', '<' denotes '–', '+' denotes '÷', '^' denotes '×', '–' denotes '=', '×' denotes '>', and '='. denotes '<', then which of the following options is correct? (A) 13 > 7 < 6 + 2 = 3 ^ 4 (B) 28 + 4 ^ 2 = 6 ^ 4 + 2 (C) 9 > 5 > 4 – 18 + 9 > 16 (D) 9 < 3 < 2 > 1 × 8 ^ 2 . Copyright©2015. Science Olympiad Foundation (SOF).

(29) 4. 6th IMO - SET A. 15. The underlined letters indicate the end of the first word and beginning of second word. Choose the correct option.. (A) pert. E X (___) A C L E (C) tent. (B) tant. (D) ence . 16. Which of the following options shows the mirror image of Fig.(X), if mirror is placed vertically left.. (A). . (B). . (C). . (D). 17. Group the given figures into three appropriate classes using each figure only once.. (A) 4, 7, 9; 2, 5, 8; 1, 3, 6 (C) 1, 4, 6; 2, 3, 7; 5, 8, 9 . (B) 1, 3, 8; 2, 4, 6; 5, 7, 9 (D) 3, 5, 4; 1, 6, 9; 2, 7, 8. 18. Find the odd one out in the following anagrams.. (A) P E N O H (B) D R O I A (C) T S P O. (D) G N D R E A. 19. How many such 3's are there in the following number sequence which are immediately preceded by an odd number and immediately followed by an even number?. 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6 (B) Two (C) Three. (A) One. (D) Four. 20. There are five pens 1, 2, 3, 4 and 5 of different colours, viz. Blue, Black, Maroon, Green and Red. Pen number 3 is of Black colour and Pen number 5 is of Green colour. Which of the following pen is of Red colour ?. (A) Number 1 (B) Number 2 (C) Number 3 (D) Data inadequate. Section II : Mathematical reasoning 21. The adjoining figure shows 3 different views of a . . three-dimensional figure constructed from cubes. Which could be the correct option ? Top. (A). (B). (C). Copyright©2015. Science Olympiad Foundation (SOF). Front. (D). Side.

(30) 5. 6th IMO - SET A 22. A spinner consists of six equal regions as shown. If Mohit spins the spinner once, what is the probability that the arrow will land on a region numbered less than or equal to 2 ?. (A). 1 2. (B). 1 3. (C). 1 6. (D). 2 3. (C). 7 < 8.0 × 10−3 8. 23. Which of the following expressions is true ? 7 (B) 6 % < 0.09 (A) 0.09 > . 8. −3 (D) 8.0 × 10 > 6 % . 24. Which of the following describes a square root of 41 ?. (A) Between 5 and 6 (B) Between 6 and 7. (C) Between 20 and 21 (D) Between 40 and 42 25. If 3x –1 + 3x +1 = 90, then x is equal to ______.. (A) 1 (B) 3. (C) 2. (D) 0. 26. How many cars were sold in the first quarter of the year ?. (A) 60 . (B) 90. (C) 50. (D) 100. 27. A merchant marks his goods at ` 300 and allows a discount of 25 %. If he still gains 12.5 %, then the cost price of article is _____.. (A) ` 220 (B) ` 200 (C) ` 240 (D) ` 260 28. Consider the following statements. If a money is loaned at simple interest then the :. 2 %. 3 (ii) money gets doubled in 5 years if the rate of interest is 20 %.. (iii) money becomes four times in 10 years if it gets doubled in 5 years.. (i) money gets doubled in 5 years if the rate of interest is 16. Of these statements :. (A) (i) and (ii) are correct . (C) (ii) alone is correct . (B) (iii) alone is correct (D) None of these. 29. Evaluate (326541829)2 – 326541833 × 326541825.. (A) 4. (B) 326541819. (C) 32651838. Copyright©2015. Science Olympiad Foundation (SOF). (D) 16.

(31) 6. 6th IMO - SET A. 30. The figure shows a triangle on a coordinate plane. Which of the following shows the triangle translated 3 units to the right and 1 unit down ?. (A). (B). (C). (D). 31. Find the measure of largest angle of a quadrilateral if the measures of its interior angles are in. the ratio of 3 : 4 : 5 : 6. (A) 60° (B) 120°. 5 x − 1 x − 1 1  32. Solve for x : x − 2 x − = + 3  3 2  3. (B) –31. (A) 2. (C) 90°. (D) Can't be determined. (C) – 20. (D) −. 1 2. 33. How many numbers are there between 200 and 800 which are divisible by both 5 and 7 ?. (A) 35. (B) 16. (C) 17. (D) Can't be determined. 34. Find the area of the given figure.. (A) 128 m2 . (B) 228 m2. (C) 328 m2. (D) 628 m2. 35. In the given diagram, equilateral triangle EDC surmounts square ABCD. Find ∠BED represented by x, where EBC = a°.. (A) 45° . (B) 60°. (C) 30°. (D) None of these. Copyright©2015. Science Olympiad Foundation (SOF).

(32) 7. 6th IMO - SET A. Direction (36 & 37) : The Pie graph depicts the budget of a family 'X '. The total monthly income of the family is ` 3080.. 36. How many degrees should be there in the central angle of the sector for miscellaneous expenses?. (A) 60 degrees. (B) 55 degrees . (C) 46 degrees. (D) 36 degrees. 37. How much total expenses are incurred on food, clothing and conveyance every month ?. (A) ` 1794. (B) ` 1684. (C) ` 1664. (D) ` 1694. 38. The largest four-digit number which is a perfect cube, is ______.. (A) 8000 (B) 9261 (C) 9999. (D) None of these. 39. If x : y = 5 : 2, then (8x + 9y) : (8x + 2y) is ______.. (A) 22 : 29 (B) 26 : 61 (C) 29 : 22. (D) 61 : 26. 40. Closure property for rational numbers is satisfied in case of _______.. (A) Addition (B) Subtraction (C) Multiplication. (D) All of these. Section III : Everyday Mathematics 41. For a journey the cost of a child ticket is 1/3rd of the cost of an adult ticket. If the cost of the tickets for 4 adults and 5 children is ` 85, the cost of a child ticket is ______.. (A) ` 5. (B) ` 6. (C) ` 10. (D) ` 15. 42. The ratio of present ages of Rahul and Deepesh is 3 : 5. 10 years later this ratio becomes 5 : 7.. What is the present age of Deepesh ? (A) 20 years (B) 50 years. (C) 25 years. (D) 40 years. 43. A person wants to reduce the trade tax so he calculates his profit on the sale price instead of on the cost price. In this way by selling an article for ` 280 he calculates his profit as 14 is the actual profit percentage?. (A) 20 %. (B) 16.66 %. (C) 25 %. 2 %. What 7. (D) None of these. 44. A rectangular tank 25 cm long and 20 cm wide contains water to a depth of 5 cm. A metal cube of side 10 cm is placed in the tank so that one face of the cube rests on the bottom of the tank.. Find how many litres of water must be poured into the tank so as to just cover the cube ? (A) 1 L (B) 1.5 L (C) 2 L (D) 2.5 L. 45. In the morning batch at 'a school' we have observed that when five students took seat on each bench, 4 students remained unseated. But when eleven students took seat per bench, 4 benches. remained vacant. The number of students in the morning batch were? (A) 55 (B) 48 (C) 26. (D) 44. 46. On the April 1, 2012 Megha's salary increased from ` 10,000 to ` 16,000. Simultaneously the rate of income tax decreased by 37.5%. So the amount of income tax paid by Megha remains constant,. what is the amount of income tax paid by her ? (A) ` 3000 (B) ` 6000. (C) ` 1600. Copyright©2015. Science Olympiad Foundation (SOF). (D) Can't be determined.

(33) 8. 6th IMO - SET A. 47. Mr. Gupta drives at a speed of 60 km/hr for 6 hours from Chandigarh to Delhi. Mr. Verma drives his car at an average speed of 45 km/hr for the same journey. How much time does Mr. Verma. take to complete the journey? (A) 7 hrs (B) 8 hrs. (C) 9 hrs. (D) 11 hrs. 48. The volume of a cylinder is 48.125 cm 3, which is formed by rolling a rectangular paper sheet along the length of the paper. If a cuboidal box (without any lid i.e., open at the top) is made from the same sheet of paper by cutting out the square of side 0.5 cm from each of the four corners of. the paper sheet, then what is the volume of this box ? (B) 38 cm3 (C) 19 cm3 (A) 20 cm3. 49. Mrs. Priya earns 18000 per month. She spends. things. The amount she saves is _____. (A) ` 7120 (B) ` 5250. (D) 28 cm3. 1 7 on household items and on rest of the 8 12 (C) ` 5520. (D) ` 6562.5 . 50. Nita walks from her house 160 metres north and from there 630 metres west to visit her friend. While coming back, she walked diagonally from her friend's house, back to her home. What distance. did she walk while returning ? (A) 730 m (B) 800 m. (C) 1250 m SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) 650 m.

(34) Class 8 6th. SET B Year 2012. Copyright©2015. Science Olympiad Foundation (SOF).

(35) 2. 6th IMO - SET B Section I : Logical Reasoning. 1.. Which one of the following Venn diagrams correctly illustrates the relationship among the classes : Diseases, Leprosy, Scurvy?. (A). (B). (C). (D). 2. If '×' means '+', '÷' means '–', '–' means '×' and '+' means '÷', then 14 × 3 ÷ 11 – 3 + 121 = ____.. 3 (A) 14 9. (B) 2. (C) 16. 8. 11. (D) 5. 3. In a certain code, '256' means 'you are good'; '637' means 'we are bad' and '358' means 'good and. bad'. Which of the following numbers represents 'you' in that code ? (A) 2 (B) 5 (C) 8 (D) 3. 4.. Select a figure from amongst the options which will continue the same series as established by the four Problem Figures.. Problem Figures ? P. R. S. (C). (B). (A). Q. (D). 5.. Count the number of triangles in the given figure. (A) 12 (B) 14 (C) 16 (D) None of these. 6.. Which of the following option figures will complete the figure (X)?. ? Fig.(X). (A). (B). (C). (D). 7. Choose the options which most closely resembles the mirror-image of the given combination if the mirror is placed vertically to the right. QUANTITIES N S (B) SETITNAUQ (C) QUA TITI E. QUANTITIES. (A). 8.. Select the related number from the given options. 5 : 100, 4 : 64 :: 4 : 80, 3 : ? (A) 26 (B) 48 (C) 60 Copyright©2015. Science Olympiad Foundation (SOF). (D). (D) 54.

(36) 3. 6th IMO - SET B. 9. If the following words are arranged in the alphabetical order, which word will appear at the end?. (A) Olympic. (B) Olympia. (C) Oval. (D) Ovulet. 10. From his house, Vishal went 15 km to the North. Then he turned West and covered 10 km. Then, he turned South and covered 5 km. Finally, turning to East, he covered 10 km. How far and in which direction is he from his house ?. (A) 10 km East. (B) 10 km West. (C) 10 km North. (D) 10 km South. 11. In a march past, seven persons are standing in a row. R is standing left to Q but right to P. O is standing right to N and left to P. Similarly, S is standing right to Q and left to T. Find out the person standing in the middle.. (A) P. (B) Q. (C) R. (D) O. 12. Select a figure from the given options in which Figure (X) is embedded as its part.. (A). (B). (C). (D). 13. Two different positions of a dice has been shown below. If 4 dots are at the top what number will be just below it?. (A) 1. (B) 3. (C) 4. (D) 5. 14. Ajit is fatter than Ranjit who is thinner than Bhushan. Mohan is thinner than Ajit but fatter than Bhushan. Two other men are fatter than Ajit. Who is the thinnest?. (A) Ajit. (B) Ranjit. (C) Bhushan. (D) Mohan. 15. Five students participated in an examination and each scored different marks. Nidhi scored higher than Mamta. Kavita scored lower than Prashant but higher than Nidhi. Anil's score was between Mamta and Nidhi. Which of the following pairs represents the highest and the lowest scorers respectively?. (A) Nidhi, Kavita. (B) Kavita, Mamta. (C) Anil, Kavita. (D) Prashant, Mamta. 16. Mohit is the brother of Beena. Beena is the wife of Raj. Raj is the brother of Megha. What is the relation of Megha to Mohit?. (A) Sister. (B) Sister-in-law. (C) Mother-in-law. (D) No specific relation. 17. How many consonants are there in the below sequence which are immediately preceded by a symbol and immediately followed by a digit? E G 4 B H 7 5 @ K 8 D N £ Q Z $ W 3 C 1 9 * L B 2 S 6. (A) One. (B) Two. (C) Three. Copyright©2015. Science Olympiad Foundation (SOF). (D) None.

(37) 4. 6th IMO - SET B. 18. A pile of cubes of equal size is arranged as shown in the figure. Now the block is dipped into a bucket full of red paint so that only the surfaces of the block get coloured. How many cubes are without any colour?. (A) 20 . (B) 14. (C) 30. (D) 18. 19. If it is possible to make a meaningful word with the second, third, fifth and eighth letters of the word PARAGRAPH which of the following will be second letter of that word? If more than one such. word can be made, give X as the answer. If no such word can be made, give M as the answer. (A) X (B) M (C) G (D) P. 20. The triangle, rectangle and circle shown here respectively represent the urban, hard working and educated people. Which one of the areas marked I-VII is represented by the urban hard working people who are not educated?. I III. II. V. VI. (A) II. (B) I. IV VII (C) IV. (D) III. Section II : Mathematical reasoning 21. What is the value of the given expression ? ( 16 )2 + 64 3. (A) 4. (B) 8. 512 − 3 64 (C) 16. (D) 6. 22. Which of the following pictures appears to have rotational symmetry ?. (A). (B). (C). (D) None of these. 23. Aisha needs to buy 300 sheets of construction paper. The office supply store sells construction paper in the following packages. Which of the following is the least expensive way. Paper Purchase Package Number of Sheets Price. for Aisha to buy 300 sheets of construction paper ? (A) 6 packages of paper W (B) 4 packages of paper X (C) 3 packages of paper Y (D) 2 packages of paper Z. Copyright©2015. Science Olympiad Foundation (SOF). W. 50. ` 4.50. X. 75. ` 5.10. Y. 100. `10.75. Z. 150. ` 12.25.

(38) 5. 6th IMO - SET B 24. Which of the following statements is incorrect for rational numbers ?. (A) The rational number 0 is the additive identity for rational numbers.. (B) The rational number 1 is the multiplicative identity for rational numbers. . (C) Subtraction is associative for rational numbers.. (D) There are infinite rational numbers between any two given rational numbers.. 25. Solve for x :. (A). 1. 2. 3x + 4 x +1 = 6x + 7 2x + 3 (B) −. 5. 4. (C) 1. (D) 3. Direction (26 & 27) : A bar diagram depicting the changes in the students strength of a college in four faculties from 1990-91 to 1992-93 is shown.. 26. How many times was the total strength of the strength of Commerce students in 1991-92 ?. (A) 3 times (B) 4 times (C) 5 times (D) 6 times 27. How much percent was the increase in Science students in 1992-93 over 1990-91 ? 2 (D) 75%. (A) 50% (B) 150% (C) 66 % 3 28. Find the area of the field ABCDEFGA in which AL = 30 m, AM = 70 m, AN = 90 m, AO = 110 m, AE = 135 m, AB = 36 m , LG = 40 m, NF = 42 m, MC = 54 m, and OD = 46 m.. (A) 9010 m2. (B) 8000 m2. (C) 8670 m2. (D) 9730 m2. 29. The population of a country is 3.2 × 106. There are 8 × 105 children. Find the number of adults.. (A) 3 × 103. (B) 8 × 103. (C) 2.4 × 106. Copyright©2015. Science Olympiad Foundation (SOF). (D) 2.4 × 105.

(39) 6. 6th IMO - SET B. 30. In the kite ABCD, AD = CD = 8 cm, ∠ADC = 60°, ∠DCB = 130° and AB = CB. Find ∠ABC.. (A) 50°. (B) 40°. (C) 60°. (D) 25°. 31. A rectangular picture is 16 cm long and 10 cm side. It has a 2 cm border around it as shown in the figure. Calculate the area of the border, giving your answer in square millimetres.. (A) 1200 mm2. (B) 120 mm2. (C) 12000 mm2. 32. The number of edges of the given figure is ______. . (A) 18. (B) 12. (C) 14. (D) 16. (D) 120000 mm2. 33. In a parallelogram,. Statement 1 : Diagonals bisect each other.. Statement 2 : Diagonals divide the parallelogram into two triangles.. (A) Only statement 1 is true. (C) Both statement 1 and 2 are true.. (B) Only statement 2 is true. (D) Both statement 1 and 2 are false.. 34. A bag contains 4 red, 3 pink and 8 white balls. One ball is drawn at random. Find the probability that the ball drawn is not red.. (A). 1. 5. (B). 8. 11. 1 1  4 35. If  x +  = 5 , find the value of x + 4 .   x x. (A) 8 (B) 3. (C). 11. 15. (C) 5. (D). 3 11. (D) 7. 1 36. A sum of ` 2540 is lent out into two parts, one at 12 % and another one at 12 % . If the total 2 annual income is ` 311.60, the money lent at 12 % is _____.. (A) ` 1180. (B) ` 1360. (C) ` 1240. (D) ` 1340. 37. The length of longest pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10 2 m. The height of the room is _____.. (A) 6 m . (B) 7.5 m . (C) 8 m . Copyright©2015. Science Olympiad Foundation (SOF). (D) 10 m.

(40) 7. 6th IMO - SET B th.  1 38. A tree increases annually by   of its height. By how much will it increase after 2 years, if it 8 stands today 64 cm high?. (A) 72 cm (B) 74 cm (C) 75 cm (D) 81 cm 39. What is the smallest number by which 3600 be divided to make it a perfect cube?. (A) 9 (B) 50 (C) 300 (D) 450 40. If x : y = 2 : 3 and 2 : x = 1 : 2, then the value of y is ______. 1. (A) 4 (B) 6 (C) 3. (D). 3 2. Section III : Everyday Mathematics 41. A boat goes downstream and covers the distance between two ports in 4 hours, while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/hr, find the speed of boat in still water.. (A) 16 km/hr. (B) 18 km/hr. (C) 20 km/hr. (D) 15 km/hr. 42. Garima wants to plant 50625 roses and arranges them in such a way that there are as many rows. as there are roses in a row. The number of roses in a row are _____. (A) 365 (B) 165 (C) 625. (D) 225. 43. Latika owns a mobile worth ` 10000. She sells it to Priya at a profit of 10% based on the worth of the mobile. Priya sells the mobile back to Latika at a loss of 10%. In this transaction Latika gets ______.. (A) No profit no loss. (B) Profit of ` 1000. (C) Profit of ` 1100. (D) Loss of ` 1100. 44. A trader lists his articles 20% above C.P. and allows a discount of 10% on cash payment. His gain. percent is ______. (A) 10%. (B) 8%. (C) 6%. (D) 5%. 45. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m3.. The breadth of the wall is ______. (A) 30 cm (B) 40 cm. (C) 22.5 cm. (D) 25 cm. 46. A swimming pool is 25 m long, 15 m broad and 5 m deep. Find the cost of cementing its floor. and the walls at the rate of ` 10 per sq. metre. (A) ` 3840 (B) ` 7750. (C) ` 6960. (D) None of these. 47. The value of a machine depreciates every year at the rate of 10% on its value at the beginning of. that year. If the present value of the machine is ` 729, its worth 3 years ago was _____. (B) ` 800 (C) ` 1000 (D) ` 750.87 (A) ` 947.10 . 48. The population of the world in 2000 was 6.5 × 10 9. It is estimated that by 2070 the population of. the world will be 1.03 × 1010. Find the estimated increase in the population from 2000 to 2070. (B) 3.8 × 109 (C) 10.3 × 109 (D) 3.8 × 108 (A) 4.8 × 108. 49. Pratik had ` 425.82 in his account. How much does he have in his account after he makes a deposit. of ` 120.75 and a withdrawal of ` 185.90? (A) ` 126.82 (B) ` 538.82. (C) ` 630.76. Copyright©2015. Science Olympiad Foundation (SOF). (D) ` 360.67.

(41) 8. 6th IMO - SET B. 50. Three different containers contain different qualities of mixtures of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What biggest measure must be there to measure. all the different quantities exactly? (A) 1 kg (B) 7 kg. (C) 31 kg SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). (D) 41 kg.

(42) Class 8 7th. SET A Year 2013. Copyright©2015. Science Olympiad Foundation (SOF).

(43) 2. 7th IMO - Set A. logical reasoning 1.. Select a figure from the options which will continue the series established by the four problem figures.. 1. 3. 5. A. B. C. D.. A.. 5.. If in a certain code ‘56431’ is written as ‘RSHTU’ and ‘98270’ as ‘MLKPA’, then how will ‘9517’ be written in the same code?. B.. C.. A. B. C. D.. 6.. Raman walks 50 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns right and walks 15 m. In which direction and how many metres away is he from his original position?. A. B. C. D.. 7.. Out of the four figures marked (a), (b), (c) and (d) three are similar in a certain manner. However, one figure is not like the other three. Choose the figure which is different from the rest.. A. B. C. D.. 8.. How many dots lie opposite to the face having three dots, when the given figure is folded to form a cube?. A. B. C. D.. D.. 2.. Pointing to a man in a photograph, a woman says, "He is the only son of the only daughter-in-law of my only son's father." How is the man related to the woman?. A. B. C. D.. Son Father Son-in-law Grandson. 3.. Which of the following options will complete the pattern in figure (X)?. Figure (X). A.. B.. C.. D.. 4.. Arrange the given words in a meaningful sequence and then choose the most appropriate sequence.. Cutting Vegetable Cooking 1, 2, 4, 5, 3 3, 2, 5, 1, 4 4, 3, 1, 5, 2 5, 3, 2, 1, 4. 2. 4.. Dish Market. MURP MRUP MRPU MRPT. 45 30 30 45. metres West metres East metres West metres East. a b c d. 2 4 5 6. Copyright©2015. Science Olympiad Foundation (SOF).

(44) 3. 7th IMO - Set A 9.. Select a figure from the options, which satisfies the same conditions of placement of the dot as in figure (X).. Figure (X). A.. B.. C.. 12. Study the following arrangement carefully and answer the question given below: R DAK 5 B I 2 M J E N 9 7 U Z V 1 W 3 H 4 FY8 P6 T G How many such consonants are there in the above arrangement each of which is immediately preceded by a vowel and immediately followed by a number?. A. B. C. D.. None One Two Three. 13. There is a square transparent sheet with a given pattern is given. Figure out from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.. A.. B.. C.. D.. D.. 10. Given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which the folded paper has been cut. Choose a figure from the options which would most closely resemble the unfolded form of piece of paper.. 14. Which of the following Venn diagrams best illustrates the relationship among the three classes : "Truck, Ship, Goods"?. A.. B.. C.. D.. 11. If '×' means 'is father of ', '+' means 'is sister of ', '–' means 'is brother of ', and '÷' means 'is mother of ', then which of the following statements means 'S is grand-daughter of P'?. A. B. C. D.. P×T+R÷S P÷Q–R÷S–T P×R–T×S P÷Q–R×S+T. A.. B.. C.. D.. 15. In a certain code language 'in pe ba' means 'he is late', 'le ba se' means 'she is early' and 'pa ta in' means 'he leaves soon'. Which word in that language means late ?. A. B. C. D.. pe in ba Data is inadequate. Copyright©2015. Science Olympiad Foundation (SOF).

(45) 4. 7th IMO - Set A. 16. Select the pair that has a relationship similar to given pair.. A.. B.. C.. D.. A.. B.. C.. D.. 100 361 389 400. 19. Select a figure from the options which is the mirrorimage of the Problem Figure.. 17. Select a figure from the options in which figure (X) is embedded as one of its part.. A. B. C. D.. A.. B.. C.. D.. 20. Minimum number of straight lines required to form the given figure is __________.. 18. Which number will replace the question mark in number pattern?. A. B. C. D.. 22 20 18 24. Mathematical reasoning 21. The given figure shows a cuboid with a total surface area 202 cm2 . Find the volume of cuboid.. D.. 200 cm3. n +1 + 7 ⋅ 3n−1 22. The simplified value of 2 ⋅ 3 is 1−n. A. B. C.. 72 cm3 36 cm3 180 cm3. A. B. C. D.. 1 3 –1 0. Copyright©2015. Science Olympiad Foundation (SOF). 1 3n + 2 − 2   3.

(46) 5. 7th IMO - Set A 23. The pie chart shows a percentage breakdown of 1000 votes in student elections. How many votes did Sushanth receive?. A. B. C. D.. 450 396 390 410. 29. In the given figure, ABCD is a rhombus and ∠BCD = 80°. Find x and y respectively.. A. B. C. D.. 550 350 330 450. 24.. The A. B. C. D.. division of rational numbers is Commutative Associative Neither commutative nor associative Both A and B. 25. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then find the value of c.. A. B. C. D.. 6 8 14 7. 1 26. If 4x + 4x + 4x + 4x + 4x + 4x + 4x + 4x = 512 , then −3 ? what is the value of x. A. 0.50. B. 0.75. C. –0.75. D. –4.25 27. Consider the given diagram. (figure not drawn to scale). If the area of ABCD is equal to the area of DEHG, then the ratio of area of shaded to unshaded part is ______ .. A. B. C. D.. 72 : 113 1:5 26 : 113 36 : 113. A. B. C. D.. 40°, 70°, 80°, 50°,. 20° 50° 30° 40° 2. 1  1 3 2 × 1  + 1 ÷ 3 3 is _________. 4  3 8. 30. The value of. A.. B.. C.. D.. 1 3 1 4 6 1 1 3 1 5 2 3. 31. Find the square root of 6. A. B. C. D.. 2.410 2.529 2.113 2.482. 115 . 289. 32. Three numbers are in the ratio 3 : 2 : 1. The sum of their cubes is 246924. Find the largest number.. A. B. C. D.. 51 38 61 57. 33. The area of a rectangle is given by 6x2y + 4y 2 x and the width of the rectangle is given by 2xy. Find the perimeter of rectangle.. A. B. C. D.. 6x 3x 8x 6x. + + + +. 8y 4y 6y 4y. + + + +. 2xy 2xy 4xy 4xy. 34. Difference between smallest 4-digit perfect square and greatest 4-digit perfect square is. 28. Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder with a height of 10 cm and a diameter of 4.5 cm.. A. B. C. D.. 8777 1012 9801 7777. Copyright©2015. Science Olympiad Foundation (SOF).

(47) 6. 7th IMO - Set A. 35. Which solid would be formed by the given net?. A. B. C. D.. Triangular Pyramid Square Pyramid Hexagonal Pyramid Rectangular Pyramid. everyday Mathematics 36. A dairyman pays ` 6.40 per litre of milk. He adds water and sells the mixture at ` 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is. A. B. C. D.. 1 1 1 1. : : : :. 10 12 15 20. A. B. C. D.. 30 60 72 90. birds birds birds birds. A. B. C. D.. A. B. C. D.. 15 16 18 25. ` ` ` `. 12,000 13,000 11,000 14,000. 40. A man walking at the speed of 4 km/hr crosses a square field diagonally in 3 minutes. The area of the field is. A. B. C. D.. 57 67 77 87. A. B. C. D.. 5 years 10 years 20 years 37 years th. 39. Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of ` 11,400 at the end of nine years, how much money did he borrow?. A. B. C. D.. 9 43. Monika purchased a pressure cooker at   of  10  its selling price and sold it at 8% more than its S.P.. 38. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is. 42. Hitesh is 40 years old and Rohit is 60 years old. How many years ago was the ratio of their ages 3 : 5?. 37. A fires 5 shots to B’s 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed. the number of members in the group is. Find her gain percent.. A. B. C. D.. 20% 10% 30% 40%. 44. Sanket earns twice as much in the month of March as in each of the other months of the year. What part of his entire annual earnings was earned in March?. A.. 1 7. B.. 1 6. C.. 2 11. D.. 2 13. 45. A pineapple costs ` 7 each. A watermelon costs ` 5 each. X spends ` 38 on these fruits. The number of pineapples purchased is. 18000 m2 19000 m2 20000 m2 25000 m2. 41. A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to ` 59.29,. A. B. C. D.. 2 3 4 Data is inadequate. Copyright©2015. Science Olympiad Foundation (SOF).

(48) 7. 7th IMO - Set A. ACHIEVERS SECTION 46. Select the incorrect match with respect to the representation of numbers on the number line.. A.. Natural Numbers. The line extends indefinitely only to the right side of 1.. B.. Whole Numbers. The line extends indefinitely to the right, but from 0. There are no numbers to the left of 0.. C.. D.. Integers. Rational Numbers. The line extends indefinitely on both sides and you can see numbers between –1, 0; 0, 1, etc.. A. B. C. D.. I. Only Only Both Both. II. I right II right I and II are right I and II are wrong.. 48. A school has 8 tables of dimensions 1 m by 1 m, 26 tables of dimensions x m by 1 m and 15 tables of dimensions x m by x m. All the tables are of equal height. Based on this information answer the question given below: If the tables are placed together to form a large rectangular table, then the dimension of the table formed is __________.. A. B. C. D.. (3x (3x (5x (5x. + – – –. 4)(5x 4)(5x 4)(4x 4)(5x. + 2) – 4) – 4) + 4). 49. Study the two statements given below carefully. Statement 1 : A pyramid is a polyhedron whose base and top are congruent polygons and whose other faces i.e., lateral faces are parallelograms in shape.. The line extends indefinitely on both sides and you can see numbers between –1, 0; 0, 1, etc.. 47. Which of the following Venn diagrams is right?. Statement 2 : A prism is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.. A. B. C. D.. Statement-1 is true and Statement-2 is false. Statement-1 is false and Statement-1 is true. Both the statements are true. Both the statements are false.. 50. Match the solids in Column-I with their top view in Column-II.. (a). (b). (c). (d). A. B. C. D.. Column-I. Column-II. (p). (q). (r). (s). (a) (a) (a) (a). → → → →. (p); (q); (q); (q);. (b) (b) (b) (b). SPACE FOR ROUGH WORK. Copyright©2015. Science Olympiad Foundation (SOF). → → → →. (q); (c) → (r); (d) → (s) (p); (c) → (r); (d) → (s) (r); (c) → (s); (d) → (p) (r); (c) → (p); (d) → (s).

(49) Class 8 7th. SET B Year 2013. Copyright©2015. Science Olympiad Foundation (SOF).

(50) 2. 7th IMO - Set B. logical reasoning 1.. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the options that would replace the question mark (?) in figure 4. Problem figure. A.. B.. 2.. 4.. If each of the letters in the English alphabet is assigned odd numerical value beginning A = 1, B = 3 and so on, what will be the total value of the letters of the word INDIAN?. A. B. C. D.. 5.. Find out how will the key figure (X) look like after 90° rotation clockwise?. A.. B.. C.. D.. 6.. Select a suitable figure from the options which will replace the question mark so that a complete series is formed.. A.. B.. C.. D.. 7.. If  stands for ‘addition’,  stands for ‘subtraction’,  stands for ‘division’,  stands for ‘multiplication’ and  stands for ‘equal to’, then which of the following options is correct?. 86 88 89 96. C.. D. A set of figures carrying certain numbers, is given. Assuming that the number in each set follows a similar pattern, find the missing number.. A. B. C. D.. 3.. Study the diagram given here and answer the question that follows.. 35 48 72 120. Workers who are members of Union.. Workers who are hardworking. Workers who are experienced. Number 4 represent :. A. B.. C.. D.. Members of the Union. Members of the Union as well as hardworking and experienced workers. Hardworking and experienced workers not members of the Union. Hardworking workers members of the Union who are not experienced.. Copyright©2015. Science Olympiad Foundation (SOF).

(51) 3. 7th IMO - Set B. A. B. C. D.. 7 3 5 2.  43  6  1  4 62365 7324 5626. 8.. The digits of each of the following five numbers are written in reverse order and five new numbers are obtained : 513 726 492 865 149 Which of the following will be the third digit of the second highest new number?. A. B. C. D.. 1 5 7 8. 9.. A solid cube of each side 8 cms, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cms.. How many cubes have no face painted?. A. B. C. D.. 0 4 8 12. 10. Select a figure from amongst the options which when placed in the blank space of figure (X) would complete the pattern.. A.. B.. 3. 4. The A. B. C. D.. S is the brother of T. T is the daughter of Q. grandmother of S is ____. P Q R T. 12. In a dinner party both fish and meat were served. Some took only fish and some only meat. There were some vegetarians who did not accept either. The rest accepted both fish and meat. Which of the following logic diagrams correctly reflects this situation?. A.. B.. C.. D.. 13. The given question consist of a set of three figures 1, 2 and 3 showing a sequence of folding of a piece of paper. Figure (3) shows the manner in which the folded paper has been cut. Choose a figure from the options which would most closely resemble the unfolded form of piece of paper.. . C.. A.. B.. C.. D.. D.. 11. Given that. 1. 2.. P is the mother of Q. R is the son of P.. Copyright©2015. Science Olympiad Foundation (SOF).

(52) 4. 7th IMO - Set B. 14. Count the number of pentagons in the given figure.. A. B. C. D.. 16 12 8 None of these. . 15. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the options that would replace the question mark (?) in figure (4).. A.. B.. C.. D.. A. B. C. D.. 25 125 156 625. 641228742153862171413286 How many pairs of alternate numbers have a difference of 2? A. B. C. D.. From the original position given in the above figure, A and B move one arm length clockwise and then cross over to the corner diagonally opposite; C and D move one arm length anti-clockwise and cross over the corner diagonally opposite. The original configuration ADBC has now changed to. A. B. C. D.. CBDA BDAC DACB ACBD. 17. Study the number series given below and answer the question that follows.. 19. Select the one from the options which satisfies the same conditions of placement of the dots as in figure (X).. 16. Find the missing number in the given number pattern.. 18. The following question is based on the diagram given below showing four persons stationed at the four corners of a square region as shown.. One Two Three Four. A.. B.. C.. D.. 20. Five girls are sitting in a row facing south. Priya is not adjacent to Shalini or Niti. Priti is not adjacent to Shalini and is at extreme right end. Priya is adjacent to Mahi. Mahi is at the middle in the row. Then, Priti is adjacent to whom out of the following?. A. B. C. D.. Priya Shalini Niti Mahi. Copyright©2015. Science Olympiad Foundation (SOF).

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