Class 7 Imo 5 Years e Book14

Full text

(1)o eb. ok. INTERNATIONAL MATHEMATICS OLYMPIAD. 5. 7. INSTANT. (2009-2013). Including Set A and Set B of Year 2012 and 2013.

(2) Copyright © 2014 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: [email protected] Regd. Office : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029.

(3) 2. CLASS 7. Contents ªª 3rd IMO 2009 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.

(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 & Advamced | AIPMT | BOARDS | OLYMPIAD | NTSE. FoUNdaTioN CoUrsE For Classes 8, 9 & 10 Class 8. Class 9. Class 10.

(11) Class 7 3rd. Year 2009.

(12) 3rd IMO - 2009. SECTION I : LOGICAL REASONING 1. . 2. . Look at the given map. Jay started from Roswell Bridge in a canoe and floats down Clear River and Copper Creek to Bird Park. What is the distance that Jay travels? (A) 5.5 m . (B) 5000 m . (C) 900 m . (D) 9000 m . Bird P ark Copper C reek m k 4 Clear R iver 5 km Roswell B ridge . The three adjoining geometric figures make a pattern. What would the eighth figure in this pattern have? (A) 8 white squares and 10 shaded rectangles (B) 8 white squares and 11 shaded rectangles (C) 8 shaded rectangles and 10 white squares (D) 8 shaded rectangles and 11 white squares . 3. . Which of the following units best measures the height of the school flagpole? (A) Centimetres . 4. . (B) Kilometres . (C) Metres . (D) Millimetres . What is the next number in the series given below? 1, 8, 9, 64, 25, 216, ? (A) 343 . 5. . (B) 39 . (C) 215 . George's town has a soccer league. Number of players Signup fee Division The adjoining table shows the total number A. (1618 years old) 49 Rs. 2000 per player of players who signed up this year. B. (1315 years old) 54 Rs. 2000 per player George needs to figure out the total amount C. (1012 years old) Rs. 3000 per player 67 of money from signup fees. Which of these expressions will give him the correct amount? (A) (49 + 54) ´ Rs.2000 + (67 ´ Rs.3000) (C) (49 + 54 ´ Rs.2000) + (67 ´ Rs.3000) . 6. . (D) 49 . (B) (49 + Rs.3000) + (54 ´ Rs.2000) + (67 ´ Rs.3000) (D) (49 + 54 + 67) ´ (Rs.2000 + Rs.3000) . Observe the pattern given below : 1, 9, 17, 33, 49, 73, _________ What will be the next number in the pattern? (A) 97 . 7. . (B) 98 . (C) 99 . (D) 100 . Central Jr. High School's student council will be hosting a talent show. Jackie will be performing in a band in the talent show. For this performance, the band members have all agreed to wear long pants, a longsleeved shirt, and a vest. Jackie has the following choices. Long pants Longsleeved shirts Vests 1 black 1 white . 1 white 1 red 1 black . 1 red 1 black . How many different choices of outfits does Jackie have? (A) 12 3 rd IMO | LevelI | Class 7 . (B) 7 . (C) 6 2 . (D) 3.

(13) 3rd IMO - 2009. 8. . In a convex polygon, any two points can be connected by a line segment that remains entirely within the polygon. The adjoining figure on right is an example of a convex polygon. Which of the figures shown below is another example of a convex polygon? (A) . 9. . (B) . (C) . Convex P olygon . (D) . Photocopy machines can be used to make an image larger or smaller on paper. Suppose the given triangle were reduced on a photocopy machine to 80% of its original size. Which of the following gives the correct measures of its sides and angles after it was reduced? 53° 0.6 . (A) . 90° . 53° . 37° 0.8 . 48° . 2.4 . 1.0 . (B) . 4.0 90° . 2.4 . 37° 3.2 . 72° . 5.0 90° . 37° 4.0 . 48° 3.0 . 4.0 . (C) . 53° 3.0 . 24° 3.2 . (D) . 5.0 72° . 24° 4.0 . 10. Count the number of triangles is the adjoining figure. (A) 17 . (B) 18 . (C) 19 . (D) None of these . 11. What fraction of the figure is shaded? 3 8 4 (C) 8 . (A) . 5 8 7 (D) 8 . (B) . 12. Mayank is writing a computer program for basketball game. To find the total score he collects the data given in the table. Given that *stands for multiplication in a computer, F stands for . For each free throw For each regular throw For each long shot . the number of free throws made, R stands for the number of regular shots made, L stands for the number of long shots made and T stands for the total score a team has in a game. Then the total score is (A) T = F + (R * 2) + (L *3) . (B) T = F * (R + 2)* + (L + 3) . (C) T = (F + R + L)* (1 + 2 + 3) . (D) T = (1 + F)* (2 + R)* (3 + L) . 13. All of Mrs. Neha's students are reading poetry by Wordsworth. Smita is in Mrs. Neha's class. John is not in Mrs. Neha's class. Lisa is reading poetry by Wordsworth. If all the statements above are true, which conclusion below is definitely true? (A) Lisa and Smita are in the same class . (B) John and Lisa are not in the same class . (C) John is not reading poetry by Wordsworth . (D) Smita and Lisa are reading poetry by Wordsworth . 14. Look at the adjoining pictures. 64 80 45 Except for the number 64, half of the numbers in this set are greater than 64, and half of the numbers in this set are less than 64. Which of the following statements about the number 64 is also true? (A) The number 64 would be the mean of this set of numbers (B) The number 64 would be the median of this set of numbers (C) The number 64 would be the mode of this set of numbers (D) The number 64 would be the range of this set of numbers 3 . 98 . 37 . 22 . 80 . 53 . 70 . 3 rd IMO | LevelI | Class 7 .

(14) 3rd IMO - 2009. 15. If A is the brother of B and K; D is the mother of B and E is the father of A. Which one of the following statements is definitely not true? (A) A is the son of D . (B) A is the father of K . (C) D is the wife of E . (D) D is the mother of K . 16. Which set of numbers in the options is like the set given below? 121, 81, 9 (B) 64, 9, 4 . (C) 168, 15, 3 . 17. Use the line graph to answer the question. How many children sold more than 200 magazines? (A) 3 children (B) 1 child (C) 2 children . (D) 10, 6, 5 Total magazine sales . No. of magazines . (A) 95, 24, 5 . 350 300 250 200 150 100 50 . (D) 7 children . Sue Joe Kan Sam Vic Ann . 18. Divya is building a fence around her 18 m ´ 24 m rectangular garden. She will • Put a post at each corner . Divya’s Garden 18 m . • Put some posts along the sides and • Space the posts equally around the garden. . 24 m . What is the greatest possible distance between each post and the next post? (A) 8 metres . (B) 6 metres . (C) 3 metres . (D) 2 metres . 19. The given chart shows the target heart rate for people of different ages. When a person's age increases by one year, by how much does the target heart rate decrease? (A) 0.8 . (B) 1.25 . (C) 8 . (D) 10 . Target Heart R ate Age (in years) 20 30 40 50 60 Target . 160 152 144 136 128 . 20. Look at these number sentences given below : + + = 11 + + = 9 . Each . and . (A) 5 . represents the same number. What is the value of (B) 6 . + . (C) 7 . ? (D) 8 . SECTION II : MATHEMATICAL REASONING 21. Some adult humming birds weigh as little as 28.36 g. What is the value of 6 in 28.36? (A) Six . (B) Six tenths . (C) Six hundredths . (D) Six thousandths . 22. A sequence of mathematical operations was performed on the number 0.882 to get an answer of 8.67. Which of the following operations was first performed on the number 0.882 to complete the given sequence? (A) . Add 2 . (B) . Subtract 2 . ? Add 0.008 Multiply by 3 . (C) Divide by 2 (D) Multiply by 2 3 rd IMO | LevelI | Class 7 . 0.882 . 8.67 . 4 .

(15) 3rd IMO - 2009. 23. 1100 boys and 700 girls are examined in a test. 42% of the boys and 30% of the girls pass. The percentage of the total who failed is _______ (A) 58% . 2 (B) 62 % 3 . (C) 64% . (D) 78% . 2 24. Deepak keeps all his hockey cards in a special book that holds 6 cards on each page. If 3 pages 3 of the book are full, then how many cards has Deepak collected? (A) 14 (B) 18 (C) 22 (D) 36 . 25. If the angles of a triangle are in the ratio 4 : 5 : 6, then the largest angle measures ________ (A) 60° (B) 72° (C) 80° (D) 90° 5(2 x - 9) - 8 = 2 x from a study guide. 3 For this equation, which of the following must be true? . 26. Sonali copied the equation. (A) x =. 47 2 . (B) x =. 23 2 . (C) x =. 21 4 . (D) x =. 69 4 . 27. The figures shown on the right are congruent. What is true about their corresponding sides and corresponding angles? (A) The corresponding angle measures are equal, but not the corresponding side lengths (B) The corresponding side lengths are equal, but not the corresponding angle measures (C) The corresponding angle measures and corresponding side lengths are not equal (D) The corresponding angle measures and the corresponding side lengths are equal 28. Prem designed a rectangular garden with a width of 15 cm. The area of the garden is 300 square cm. What is the length of the garden? (A) 15 cm (B) 20 cm (C) 135 cm (D) 285 cm 29. The temperature at 1:00 p.m. on Tuesday was – 13°C. There was an increase of 6°C per hour starting at 1:00 p.m. Which of the following best represents the Celsius temperature n hours after 1:00 p.m. on Tuesday? (A) –13 + 6n (B) (–13) – 6n (C) (–13n) + 6 (D) (–13n) – 6 30. Which of the following operations will solve the equation given below in one step? n = 81 3 n n (A) Add 3 to and 81 (B) Subtract 3 from and 81 3 3 n n (C) Multiply by 3 and 81 by 3 (D) Divide by 3 and 81 by 3 3 3 31. A number m is divided by 5 and added to 8, the result is equal to 3m subtracted from 4. Which of the following represents the sentence? (A) . m = 3m - 4 5 . (B) . 8 - m = 3m + 4 5 . (C). m + 8 = 4 - 3 m 5 . (D). m + 8 = 3m - 4 5 . 1 1 32. Nupur wants to run 7 km. The track she runs on is of a km in length. How many times does 2 4 1 Nupur have to run the length of the track to run a total of 7 km ? 2 3 (A) 2 times (B) 8 times (C) 17 times (D) 30 times 4 . 5 . 3 rd IMO | LevelI | Class 7 .

(16) 3rd IMO - 2009. 16 m 8 m . 33. Bobby wants to paint a rectangular wall that measures 16 m ´ 9 m. The wall contains a window with the dimensions shown in the adjoining figure. If Bobby does not paint the window, what is the total shaded area he will paint ? (A) 144 sq metres . (B) 104 sq metres . (C) 50 sq metres . (D) 40 sq metres . 5 m . 9 m . 34. What type of polygon is represented by the adjoining diagram? (A) Pentagon (B) Heptagon (C) Hexagon (D) Decagon 35. Choose the correct order of operation needed to evaluate the following expression: 22 – 6 ´ (4 + 7) (A) Multiply 6 by 4. Add the product to 7. Subtract the sum from 22 (B) Add 4 and 7. Subtract 6 from 22. Multiply the difference by 6 (C) Subtract 6 from 22. Add 4 and 7. Multiply the difference by the sum (D) Add 4 and 7. Multiply the sum by 6. Subtract the product from 22. 36. The track team was surveyed for a story in the school paper. The reporter asked how many times each team member won a race last year. Here is the data he collected: 8, 7, 6, 10, 9, 4, 3, 7, 12, 14, 6, 6, 5 What is the mode of the races won? (A) 6 . (B) 7 . (C) 7.5 . (D) 14 . 37. What is the correct value of the expression given below? 1 2 42 ´ 8 ¸ + 2 3 (A) 32 . 1 (C) 128 3 . (B) 48 . 2 (D) 256 3 . 38. Which of the following expressions is equal to 1? (A). 0.015 +. 85 100 . (B). 6 + 0.4 100 . (C) 0.75 +. 1 25 . 3 + 0.7 10 . (D). 39. Javed drew the diagram to show how the area of a parallelogram is related to the area of a triangle. If he knows that the area of the parallelogram is 45 cm 2 , how can he find the area of one of the triangles? . 40. . (A) Divide 45 cm 2 by 2 . (B) Multiply 45 cm 2 by 2 . (C) Find the square root of 45 cm 2 . (D) Recognize that 9 ´ 5 = 45 . Look at the adjoining figure. If l || m. ÐABO = 55° and ÐOCD = 20°, find the value of x. (A) 75° . (B) 285° . (C) 105° . (D) 360° . A x . B 55° O 20° . D . l . C . m . SECTION III : EVERYDAY MATHEMATICS 41. Vikram's age in 20 years will be four less than three times his age now. Which of the following could be Vikram's age now and in 20 years? (A) 12, 32 3 rd IMO | LevelI | Class 7 . (B) 15, 35 . (C) 18, 38 6 . (D) 20, 40.

(17) 3rd IMO - 2009. 42. Thirty boys and twenty girls attended the rally last Friday. What was the ratio of girls to the total number of students at the rally? . (A) 2:5 . (B) 3:2 . (C) 3:5 . (D) 2:3 . 43. Sound travels in sea water at the rate of 1.5 km per second. Scientists can figure out the depth of the ocean floor by using a method called sonar. Sonar measures the time it takes for sound waves to travel from a ship Ship to the ocean floor and back to the ship. Suppose a ship has a sonar sounding of 6 seconds. What would be the Ocean approximate depth of the ocean floor below the ship? floor . (A) 6 km . (B) 0.5 km . (C) 9 km . (D) 4.5 km . 44. Students are using string to make projects in art class. • There are 200 students • Each student needs 75 centimetres of string How many metres of string are needed in all? (A) 1.5 metres . (B) 15 metres . (C) 150 metres . (D) 1500 metres . 45. Sunny started a new business. The table given below shows the profit or loss each month for six months. Sunny uses positive numbers to show a profit and negative numbers to show a loss. Month . January February March April May June –1980 . –280 . 3870 . –770 –910 1030 . How much profit or loss did Sunny have after being in business for six months? (A) Loss of Rs. 8840 . (B) Loss of Rs. 960 . (C) Profit of Rs. 960 . (D) Profit of Rs. 8840 . 46. One cup of milk has the same amount of calcium as 16 oranges. Two oranges have the same amount of calcium as 4 eggs. How many eggs have the same amount of calcium as one cup of milk? (A) 20 eggs . (B) 16 eggs . (C) 18 eggs . 47. The distance between the bases on a baseball diamond is 90 metres, as shown here. What is the distance (d), in metre, between home plate and second base? Round your answer to the nearest whole number. (A) 90 metres . (B) 127 metres . (C) 135 metres . (D) 180 metres . (D) 32 eggs Second base 90 metres Third base . 90 metres d . 90 metres . First base 90 metres Home plate . 48. While taking Vidhi's pulse rate on her wrist, Kajal counted 9 beats in 10 seconds. Which statement best represents Vidhi's pulse rate? (A) 9 beats per minute . (B) 54 beats per minute . (C) 90 beats per minute (D) 540 beats per minute . 49. A scientist was tracking a whale. At noon, the whale was 5 metres below the surface of the body of water. The whale's movements over the next several hours are recorded below. • Dove down 3 more metres . • Rose up 8 metres • Dove down 15 metres • Rose up 3 metres After all of the movements described above, which statement best describes the position of the whale in relation to the surface of the water? (A) 12 metres above the surface of the water . (B) 2 metres below the surface of the water . (C) 2 metres above the surface of the water . (D) 12 metres below the surface of the water 7 . 3 rd IMO | LevelI | Class 7 .

(18) 3rd IMO - 2009. 50. A survey was done with 250 women. Each woman was asked how many children she had. The results showed that 28% of the women had 3 or more children. How many surveyed women have less than 3 children? (A) 78 . (B) 70 . (C) 72 SPACE FOR ROUGH WORK. 3 rd IMO | LevelI | Class 7 . 8 . (D) 180 .

(19) Class 7 4th. Year 2010.

(20) 4th IMO - 2010. SECTION I : LOGICAL REASONING 1. . 2. . Rohan plans to make a display by stacking cans. The top 3 rows are shown here. The display will be a total of 7 rows. How many cans in all will Rohan need to make the display ? (A) 49 . (B) 28 . (C) 7 . (D) 22 . There are 8 girls in a dance class. The girls are represented in the diagrams shown below by the numbers 1 to 8. If each girl needs a dance partner, which list shows all the possible combinations of girls in the dance class ? . (A) . (C) . 1 2 3 4 5 6 7 . 1 . 2 3 4 5 6 7 8 . 1 . (B) 2 3 4 5 6 7 8 . 2 . (D) . 1 . 2 3 3 4 3 4 4 5 . 2 3 4 5 2 6 7 8 . 4 5 5 6 5 6 6 7 . 6 7 7 8 7 5 8 1 . 3 4 5 3 6 7 8 . 8 1 2 1 2 3 . 4 4 5 6 7 8 5 . 5 6 7 6 8 6 7 7 8 . 7 8 8 . 3. . A parent group is planning an awards dinner for students, teachers and parents. The parent group plans to seat the guests around a circular table that has seating for 30. The guests will be seated in the order of student, teacher, parent in a repeating pattern. Who will be the 20 th guest ? (A) Student (B) Teacher (C) Parent (D) Cannot be determined . 4. . Rahul bought 4 packets of notebook paper for school last year. Each packet contained 500 notebook papers. He used about 20 notebook papers each week. What information is needed to find the approximate number of notebook papers Rahul had left after the school year was over? (A) The number of hours Rahul did homework every day (B) The number of classes Rahul had (C) The number of students in Rahul's grade . 5. . Which pair of eagle pictures shows translation? . (A) . 6. . (D) The number of weeks in the school year . (B) . (C) . (D) . The top, side and front views of a solid figure made of cubes are shown below. . Top . Side . Front . Which solid figure is best represented by these views? . (A) . 4 th IMO | LevelI | Class 7 . (B) . (C) . 2 . (D).

(21) 4th IMO - 2010. 7. . A soccer league has 64 teams competing in a tournament. In each round, pairs of teams compete. The team that wins advances to the next round. The table given below shows the results of the first 2 rounds. At the end of which round will there be only 2 teams remaining, assuming there are no ties? Soccer League Tournament (A) Round 4 Number of Teams Number of Teams Round (B) Round 5 Competing Remaining (C) Round 6 1 64 32 (D) Round 7 . 2 . 32 . 16 . Text messages received by Samira . Read the graph and answer the given question. On which day did Samira receive exactly 60 text messages ? . 100 95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 . Number of messages . 8. . (A) Monday (B) Thursday (C) Friday (D) Sunday . Sunday . Monday . Tuesday . Wednesday . Thursday . Friday . Saturday . Days . 9. . Priyanka is taller than Shikha and shorter than Sneha. If Sneha is shorter than Yogita, who is the shortest among them? (A) Priyanka . (B) Shikha . (C) Sneha . (D) Yogita . 10. A community swimming pool is open on different days depending on the air temperature. The given table shows the air temperature on different days. Swimming Pool The dates listed in the table show that the pool was closed on Air Temperature Date May 1, June 1 and October 1. If the pool was open on all the May 1 68°F other dates listed, which of the following statements best describes 73°F June 1 the air temperature when the pool is open ? 82°F July 1 (A) The air temperature must be between 74°F and 90°F 87°F August 1 (B) The air temperature must be lower than 91°F 92°F September 1 (C) The air temperature must be higher than 75°F . October 1 . 75°F . (D) The air temperature must be between 68°F and 91°F 11. The given table shows the ticket prices at an amusement park. Five people in Nick's family paid a total of ` 80 for tickets. If they purchased 2 adult tickets, what were the other 3 tickets they purchased among the given options ? (A) 2 child and 1 youth . (B) 3 child . (C) 3 youth . (D) 2 youth and 1 child . Ticket Prices Type of Tickets Price Child ` 10 Youth ` 15 Adult ` 20 . 12. Kishan walks 10 km towards North. From there, he walks 6 km towards South. Then he walks 3 km towards East. How far and in which direction is he with reference to his starting point? (A) 5 km West . (B) 5 km North East . (C) 7 km East 3 . (D) 7 km West 4 th IMO | LevelI | Class 7 .

(22) 4th IMO - 2010. 13. Which one of the following diagrams best illustrates the three classes : Rhombus, Quadrilateral, Polygons ? (A) . (B) . (C) . (D) . 14. Which of the following letters in the word 'SELFRIGHTEOUSNESS' does not change its position when the letters are reversed? (A) E . (B) G . (C) H . (D) T . 15. If A means 'plus', B means 'minus', C means 'divided by' and D means 'multiplied by' then 18 A 12 C 6 D 2 B 5 equals ______ (A) 17 . (B) 25 . (C) 27 . (D) 45 . 16. A shepherd had 17 sheeps. All but nine died. How many was he left with? (A) Nil . (B) 8 . (C) 9 . (D) 17 . 17. How many rectangles are there in the given figure ? (A) 6 . (B) 7 . (C) 8 . (D) 9 . 18. Choose the correct mirrorimage of Fig. (X), when the mirror is placed along PQ. (A) . (B) . (C) . (D) . P . Q . Fig.(X) . 19. A cube is to be coloured in such a way that no two opposite faces have the same colour. The minimum number of colours required is ______ . (A) 1 . (B) 2 . (C) 3 . (D) 6 . (B) 58 – 50 . (C) 49 – 42 . (D) 25 – 17 . 20. Find the odd one out. (A) 83 – 75 . SECTION II : MATHEMATICAL REASONING 21. Amit counted the number of people in line for tickets at the movie theatre. Every time he saw 5 people, he added a tick mark on his counting sheet, as shown below. . Amit saw 2 more people after he added his last tick mark. Which could be used to find p, the total number of people he saw? (A) 14 ÷ 2 + 5 = p . (B) 14 × 2 × 5 = p . (C) 14 × 5 + 2 = p . (D) 14 + 5 – 2 = p . 22. A triangle has angle measurements of 32°, 43° and 105°. What kind of triangle is it? (A) Equilateral . (B) Isosceles . (C) Scalene . (D) None of these . 23. What is the value of the expression given below ? 5 + 5(9 ÷ 3) 2 (A) 35 4 th IMO | LevelI | Class 7 . (B) 90 . (C) 50 4 . (D) 230.

(23) 4th IMO - 2010. 24. Which of the following are corresponding parts of the two given congruent figures ? . W km 97° 17. R . (B) ST @ XY (C) TQ @ WX. S . (D) ÐQ @ ÐY. X . 26 km 107° . 108° Q 17 km 48° 97° T 46 km . 25. Which of the following figures are obtuse isosceles triangles ? (A) P and R only (B) Q and R only (C) P, Q and R only 25° (D) P, R and S only P . 108° 46 km . 26 km. 36 k m . (A) TQ @ XY. 107° Y . 48° V . 36 km . 35° . 110° . Q . R . S . 26. Which of the following digits makes the given statement true ? (A) 3 . (B) 6 . 6,06,19? is divisible by 10. (C) 5 . (D) 0 . 27. Shalini shaded 3/5 of her design given on the right. Which decimal number represents the shaded part of her design? (A) 0.6 (B) 0.06 (C) 0.006 (D) 0.0006 2 3 4 5 1 , , and are each equivalent to . Which of the following statements represents s 4 6 8 10 2 the relation between the numerator and denominator of the fractions given above ? . 28. The fractions . (A) The numerator is twice the denominator (C) The numerator is 2 more than the denominator . (B) The denominator is twice the numerator (D) The denominator is 2 more than the numerator . 29. Which group shows all the numbers that are common factors of 36 and 48 ? (A) 1, 2, 3, 4, 6 . (B) 1, 2, 3, 4, 6, 12 . (C) 1, 2, 3, 4, 6, 9, 12, 18 (D) 1, 2, 3, 4, 6, 8, 12, 24 . 30. Which of the following figures has 10 vertices ? (A) Figure U . (B) Figure V . (C) Figure W . (D) Figure X . U. V. W. X . 31. Which two angles in the given figure are NOT complementary ? T . (A) ÐRXS and ÐTXU . S . (B) ÐSXT and ÐTXU . 30° 60° 60° 30° . (C) ÐRXS and ÐSXT (D) ÐTXU and ÐUXV . V . X . R . 32. Mr. Raghav installed a triangular piece of stained glass above his front door. . U . 35° . 35° . Which of the following best describes the triangle with the given measures? (A) Acute equilateral triangle (B) Obtuse isosceles triangle (C) Right scalene triangle (D) Right isosceles triangle 5 . 4 th IMO | LevelI | Class 7 .

(24) 4th IMO - 2010. 33. Which model best represents the expression (A) . 1 2 × ? 2 3 . (B) . (C) . (D) . 34. Mr. Sameer was trying to find a tablecloth for his rectangular dining table. He knew the area and perimeter of the tabletop. Area = 36 square metres, Perimeter = 26 metres Which of the following best represents the width and length of the tabletop? (A) Width = 2 m, Length = 18 m . (B) Width = 3 m, Length = 12 m . (C) Width = 6 m, Length = 6 m . (D) Width = 4 m, Length = 9 m . 35. Leela looked at several different flower arrangements before purchasing one. The arrangements varied in price from ` 15.62 to ` 37.50. Which measure of data can be used to describe the variation in price of the different arrangements ? (A) Mean . (B) Mode . (C) Range . (D) Median . 36. Which list of integers is in order from least to greatest ? (A) – 42, –39, – 4, 40, 41 (B) – 42, 41, 40, – 39, – 4 (C) – 4, – 39, 40, 41, – 42(D) 41, 40, – 4, – 39, – 42 37. The factor tree for the number 24 is shown here. According to the factor tree, which of the following statements is true? . 24 2 12 . (A) The number 24 is prime. . 6 . 2 . (B) The only prime factor of the number 24 is 12. (C) The numbers 24, 12 and 6 are composite. . 2 3 . (D) The numbers 2, 3, 6 and 12 are prime factors of 24. 38. Ashwin used the rule listed below to rewrite the expression 10 2 × 10 5 = 10 7 . 10 m × 10 n = 10 m + n Based on this rule, which of the following is equivalent to the expression 8 –4 × 8 6 ? (A) 8 –10 , because 8 –4 × 8 6 = 8 –4–6 . (B) 8 10 , because 8 –4 × 8 6 = 8 4+6 . (C) 8 –2 , because 8 –4 × 8 6 = 8 4–6 . (D) 8 2 , because 8 –4 × 8 6 = 8 –4+6 . 39. A ladder that is 13 m long leans against a building. The bottom of the ladder is 5 m away from the base of the building. How far up the side of the building does the ladder reach ? (A) 18 m . (B) 16 m . (C) 12 m . (D) 8 m . 40. A mistake was made in simplifying the expression given below. Simplify : 5 + 2(6 + 4) – 2 3 , Step 1: 5 + 2(10) – 2 3 , Step 2: 7(10) – 2 3 , Step 3: 70 – 2 3 , Step 4: 70 – 8, Step 5: 62. In which step did the first mistake appear ? (A) Step 1 . (B) Step 2 . (C) Step 3 . (D) Step 4 . SECTION III : EVERYDAY MATHEMATICS 41. Mr. X packs boxes for an appliance company. He can pack a large box in 10 minutes and a small box in 4 minutes. He needs to pack 10 large boxes and 20 small boxes. If 2.5 hours remain before closing time, will Mr. X have time to finish the work before closing time if he works without stopping? (A) Yes, Mr. X will finish the work in 1.8 hours. . (B) No, it will take Mr. X 4 hours to finish. . (C) Yes, Mr. X will finish the work in 0.5 hour. . (D) No, it will take Mr. X 3 hours to finish.. 4 th IMO | LevelI | Class 7 . 6 .

(25) 4th IMO - 2010. 42. Tarana has 4 old coins : W, X, Y and Z. Coin Y is worth ` 2. Coin Z is worth 3 times the value of Coin Y. Coin X is worth 4 times the value of Coin Y. The 4 coins are worth ` 30 altogether. What is the value of Coin W? (A) ` 14 . (B) ` 18 . (C) ` 9 . (D) ` 19 . 43. In a factory, one machine makes flashlights at a rate of 150 flashlights per hour, and another machine makes the same flashlights at a rate of 135 flashlights per hour. Which of the following equations can be used to find t, the total number of flashlights both machines will make in 8 hours? (A) t = (150 + 135) ÷ 8 . (B) t = 150(8) – 135(8) . (C) t = (150 + 135)8 . (D) t = 150(8) + 135 . 44. The total length of all songs on a CD, Mohammed bought is about 80 minutes. Each song is between 4 to 6 minutes long. Which is a reasonable number of songs that could be on the CD? (A) 10 . (B) 40 . (C) 74 . (D) 16 . 1 45. Sonal needed to make 2 costumes for a school play. The larger costume required 4 metres of 4 3 material, and the smaller costume required metres less than the larger one. Which of the following 4 equations can be used to find n, the number of metres of material needed for the smaller costume ? 1 3 (A) n = 4 + 4 4 . 1 3 (B) n = 4 × 4 4 . 1 3 (C) n = 4 ¸ 4 4 . 1 3 (D) n = 4 4 4 . 46. Arun can run 100 metres in 20 seconds. If he competes in the 400metres race, about how many seconds will it take him to run the race ? (A) 50 secs . (B) 40 secs . (C) 80 secs . (D) 20 secs . 47. Which of the following statements represents the greatest percent of change ? (A) A tree grew from 6 feet to 12 feet in 1 year. (B) An aquarium that was originally priced at ` 80 is now ` 140. (C) A person whose salary was ` 1000 per week is now earning ` 1200 per week. (D) A baby who weighed 7 pounds at birth now weighs 16 pounds. 48. Malini answered 75% of the 40 problems on her history homework correctly. How many problems on her homework did she answer correctly ? (A) 19 . (B) 30 . (C) 28 . (D) 10 . 49. It took Abhilasha 15 minutes to apply a coat of paint to a piece of pottery. After each coat she waited close to 60 minutes for the paint to dry. Which is a reasonable amount of time it could have taken for Abhilasha to have applied 3 coats of paint and for the pottery to be completely dry ? (A) 105 minutes . (B) 225 minutes . (C) 195 minutes . 50. Isha and Shivani raced their toy cars. The given diagram shows the distance the cars travelled during the race. How much farther did Isha's car travel than Shivani's car ? (A) . 34 m 100 . (B) . 44 m 100 . Isha . 7 . 53 metres 100 . Shivani . (C) . (D) 903 minutes . 72 m 100 . 19 metres 100 . (D) . 62 m 100 4 th IMO | LevelI | Class 7 .

(26) Class 7 5th. Year 2011.

(27) 2. 5th IMO - 2011. Section I : Logical Reasoning 1.. If the letters of the word IMPORTANCE are arranged from left to right in alphabetical order, then. which letter will be fifth from the left? (A) O (B) N. 2.. If RESCUE is coded as 372057 and PROBLEM as 9348176, how will PROCURE be coded? (A) 9340537 (B) 9340357 (C) 3840537 (D) 3904537. 3.. Rohit left home and cycled 10 km towards South, then turned right and cycled 5 km and then again. (C) M. (D) K. turned right and cycled 10 km. After this he turned left and cycled 10 km. How many kilometres. will he have to cycle to reach his home straight? (A) 10 km (B) 15 km (C) 20 km. 4.. Find the odd one out.. (A). 5.. Which of the following is the mirror image of Fig. (X), if the mirror is placed. (B). (C). (D) 25 km. (D). along MR ?. (A). (B). (C). (D). 6.. What number will replace the question mark in the given series?. . (A) 33. 7.. Find the figure from the options which when placed in the blank space of figure (X) would completes. (B) 24. 18, 24, 21, 27, (?), 30, 27 (C) 30. (D) 21. the pattern.. (A). (C). (B). . (D). ? Fig. (X). SPACE FOR ROUGH WORK.

(28) 3. 5th IMO - 2011 8.. Vijay is 17th from the left end of a row of 29 boys and Manish is 17th from the right end in the. same row. How many boys are there between them in the same row? (A) 5 (B) 6 (C) 3. 9.. (D) Data inadequate. Pratik remembers that his brother's birthday falls after 18th April but before 22nd April while his sister Sakshi remembers that her brother's birthday falls after 20 th April but before 25th April. On what date does her brother's birthday fall? (B) 21st April (A) 20th April. (C) 19th April. (D) 22nd April. 10. Mohit went to sleep at 6:45 p.m. If he rose at 12 noon, for how many hours did he sleep?. (A) 17 hours 15 mins (B) 5 hours 15 mins (C) 12 hours (D) 6 hours 45 mins 11. Figures (i), (ii), (iii) and (iv) constitute the Problem set. There is a definite relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a. suitable figure from the options that would replace (?) in figure (iv). Problem Set (A) (B). . (C). (i). (D). (ii). (iii). ? (iv). 12. A square transparent sheet with a pattern is given. Find out from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line PQ. . (A). (C). (B). . (D). P. Q. 13. Arrange the given words in a meaningful sequence and find the correct answer from the options.. 1. Income 2. Status 3. Education 4. Well-being 5. Job. (A) 3, 1, 5, 2, 4 (B) 1, 3, 2, 5, 4 (C) 1, 2, 5, 3, 4 (D) 3, 5, 1, 2, 4 14. Find the figure from the options which will continue the series established by the Problem Figures.. (A) (C). (B). Problem Figures. . (D) SPACE FOR ROUGH WORK. ?.

(29) 4. 5th IMO - 2011. 15. Find a figure from the options which contains Fig. (X) as its embedded part.. Fig. (X). (A). (B). (C). (D). 16. Which number will replace the question mark in the given pattern? 3 4 8. (A) 8. 4. 2 5 4. (B) 9. 6. 4 5 9. ?. (C) 10. (D) 11. 17. Five persons with names P, M, U, T and X live separately in any one of the following : a palace, a hut, a fort, a house and a hotel. Each one likes two different colours from among the following : Blue, Black, Red, Yellow and Green. U likes red and blue. T likes black. The person living in a palace does not like black or blue. P likes blue and red. M likes yellow. X lives in a hotel. M lives in a ______.. (A) Hut (B) Palace (C) Fort (D) House 18. Find out from the given options, a figure which when placed in place of question mark will continue the series established by the Problem Figures.. (A). (B). (C). (D). . 19. Five girls are sitting on a bench to be photographed. Shweta is to the left of Richa and to the right of Pia. Misha is to the right of Richa. Reeta is between Richa and Misha.. Who is second from the left in the photograph ? (A) Reeta (B) Misha. (C) Pia. (D) Shweta. 20. Pointing towards a girl, Abhishek says, "This girl is the daughter of the only child of my father." What is the relation of Abhishek's wife with the girl ?. (A) Daughter (B) Mother (C) Aunt (D) Sister. Section II : Mathematical reasoning 21. Find the number of factors of 75.. (A) 4 (B) 6. (C) 8 SPACE FOR ROUGH WORK. (D) 10.

(30) 5. 5th IMO - 2011. 22. A diver was diving 100 metres below sea level. He went down 20 metres more and came up. 35 metres. How far below sea level did he dive ? (A) + 85 metres (B) – 85 metres (C) + 55 metres. (D) – 55 metres. 23. There are three drums with 1653 litres, 2261 litres and 2527 litres of petrol. The greatest possible size of the measuring vessel with which we can measure the petrol of any drum while every time the vessel must be completely filled is _____.. (A) 31. (B) 27. 24. A drum of kerosene oil is of the drum is ____.. (A) 45. (C) 19. (D) 41. 3 7 full. When 15 litres of oil is drawn from it, it is full. The capacity 4 12. (B) 90. (C) 60. (D) Can't be determined. 25. Find the value of the given expression :. (22 + 23 + 2–2 + 2–3) (A) 95 8. (B) 97 8. (C). 99. 8. (D). 98 8. Direction (Q. 26-27) : Study the graph carefully to answer the following questions.. Number of Girls Enrolled. Number of Girls Enrolled in Different Hobby Classes in Various Institutes in a Year 450 400 350 300 250 200 150 100 50 0. Painting Stitching Dancing. A. B. C Institutes. D. E. 26. What is the difference between the total number of girls enrolled in stitching and dancing from all. institutes together ? (A) 50. (B) 25. (C) 75. (D) 85. 27. What is the total number of girls enrolled in painting from all the institutes together ?. (A) 1150 (B) 1200 (C) 1275 (D) 1100 SPACE FOR ROUGH WORK.

(31) 6. 5th IMO - 2011. 28. Divide 14 toffees between Ankita and Anshul in the ratio 5 : 2 respectively.. (A) 2, 5. (B) 4, 10. (C) 10, 4. (D) 40, 8. 29. Mr. Arvind spends 30% of his money on education and he has total ` 15,000. How many rupees. does he spend on his education? (A) ` 5000 (B) ` 4500. (C) ` 1000. (D) ` 5500. 30. By selling a shirt for ` 285 a shopkeeper loses 5%. At what price should he sell the shirt so as. to gain 15% ? (A) ` 295. (B) ` 325. (C) ` 300. (D) ` 345. 31. In the given figure, AB || GH || DE and GF|| BD || HI, ∠ FGC = 80°. Find the value of ∠ CHI. A. G. F. (A) 80° . (B) 120°. (C) 100°. B. C. D. (D) 160°. I. H. E. 32. Solve for x :. (A). 1. 3. 6x − 2 3x + 5 1 + = 9 18 3 2 (B). 3. (C). 3. 5. (D). 8 3. 33. In the given figure, BC is produced to D and ∠ BAC = 40° and ∠ ABC = 70°.. Find the value of ∠ ACD. (A) 130° (B) 140° (C) 170° (D) 110°. A. B. C. D. 34. A rectangular field has length and breadth in the ratio of 16 : 9. If its perimeter is 750 cm. What. is its area ? (A) 75000 cm2. (B) 32400 cm2. (C) 14400 cm2. (D) 14000 cm2. 35. In our office there are 60% female employees. 50% of all the male employees are computer literate. If there 62% employees are computer literate out of the total 1600 employees, then the number of female employees who are computer literate is _____.. (A) 690. (B) 672. (C) 960 SPACE FOR ROUGH WORK. (D) Can't be determined.

(32) 7. 5th IMO - 2011 36. How many numbers are there from 100 to 200?. (A) 100. (B) 101. (C) 99. (D) None of these. (C) CLVIII. (D) XCII. 37. Write down the Roman numeral for 92.. (A) LCII. (B) CXXI. 38. Which of the following statements is INCORRECT?. (A) Every number is a factor of itself.. (B) Number of factors of a given number are finite.. (C) Every multiple of a number is less than or equal to that number.. (D) 4 and 15 are co-prime numbers.. 39. The number of edges in the given figure is ______. . (A) 8 . (B) 9. (C) 10 . (D) 12. 40.. In the given figure, find the value of ∠ BOC. (A) 101° (B) 149° (C) 71° (D) 140°. C A. F 40°. O. 31°. B D. E. Section III : Everyday Mathematics 41. Aman's mother was 21 years old when his sister was born. His father is 8 years older than his mother. Now Aman is 17 years old and his sister is 3 years older than him. What is the present age of Aman's father?. (A) 50 years. (B) 47 years. (C) 46 years. (D) 49 years. 42. I was sitting alone in a park. After a while there came an old man followed by an old lady. They were followed by two couples who were accompanied by a child each. What was the number of total persons present in the park ?. (A) 10. (B) 9. (C) 11. (D) 8. 43. In how many parts can a rod of length 19.5 m be broken into equal lengths of 65 cm ?. (A) 20. (B) 30. (C) 3 SPACE FOR ROUGH WORK. (D) 130.

(33) 8. 5th IMO - 2011. 44. Three bells toll at intervals of 36 seconds, 40 seconds and 48 seconds respectively. They start. ringing together at a particular time. They next toll together after _______. (A) 6 minutes (B) 12 minutes (C) 18 minutes (D) 24 minutes. 45. Mohan has certain amount in his account. He gives half of this to his eldest son and one third of. the remaining to his youngest son. The amount left with him now is ______. (A) 1/3 of the original (B) 2/3 of the original (C) 3/4 of the original (D) 1/6 of the original. 46. There are 8 marbles in a box with numbers 1 to 8 marked on them. What is the probability of drawing a marble with number 2 ?. (A). 1 8. (B) 1 6. (C). 1 4. (D). 1 5. 1 47. The selling price of a watch is ` 3200 and the profit per cent is 33 %. Find the cost price of the 3 watch.. (A) ` 200. (B) ` 2000. (C) ` 2400. (D) ` 3000. 48. If the circumference of a circle is 704 cm, then its area is ______.. (A) 49324 m2. (B) 39424 m2. 49. When Sarvesh travelled 33 km he found that. the total journey is (A) 66 km. (B) 132 km. (C) 3672 cm2. (D) 39424 cm2. 2 rd of the entire journey was still left. The length of 3 (C) 99 km. (D) 100 km. 50. Two equal containers are filled with a mixture of milk and water. The concentration of milk in each of the containers is 20% and 25% respectively. What is the ratio of water in both the containers. respectively? (A) 15 : 16. (B) 16 : 15. (C) 4 : 5. SPACE FOR ROUGH WORK. (D) 5 : 4.

(34) Class 7 6th. SET A Year 2012.

(35) 2. 6th IMO - SET A Section I : Logical Reasoning. 1. In the question, some letters are given which are numbered 1, 2, 3, 4 and 5. Below are given four options containing combinations of these numbers. Find that combination of numbers so that letters arranged accordingly form a meaningful word. A R E G R . (A) 5, 4, 3, 1, 2. 1 2 3 4 5. (B) 5, 1, 4, 3, 2. (C) 4, 5, 1, 3, 2. (D) 2, 4, 3, 5, 1. 2. In the given arrangement, how many such symbols are there, each of which is preceded by a letter which is from the first half of the English alphabet and followed by a digit?. 9 V @ S 2 G R A o3 Q £ B Z 7 C Y D T 4 8 P F 6 @ $ 5 E H B K d. (A) 2. (B) 4. (C) 3. (D) 1. 3.. Find the figure from the options which will continue the series established by the Problem Figures. Problem Figures ?. (A). (B). (C). 4. If Z = 52 and ACT = 48 then BAT = ?. (A) 39 (B) 41 5.. (C) 44. (D). (D) 46. The given question consists figures (i), (ii), (iii) and (iv). There is a definite relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace (?) in figure (iv). +. ?. +. +. (i). (iii). ×. (A). 6.. P started from his house towards West. After walking a distance of 25 m, he turned to the right. (C). (iv). +. (B). ×. (ii). ×. (D). and walked 10 m. He then again turned to the right and walked 15 m. After this he has to turn to his right at 135° and to cover 30 m. In which direction should he go ?. (A) West. (B) South. 7.. Find the wrong term in the series given below.. (A) 420. (B) 378. (C) South-West. 440, 420, 399, 378, 354 (C) 354. (D) South-East. (D) 399.

(36) 3. 6th IMO - SET A 8.. Find out from the options which is the mirror-image of the given combination if mirror is placed along MR. (A). . (B). (C). . (D). 9.. Rohit earns more than Farhan but not as much as Jay. Krish earns less than Jay but not as little. . as Farhan. Mohit earns more than Farhan but not as much as Rohit. If they are arranged according. to their earnings, who will be in the middle ? (A) Krish (B) Rohit. (C) Mohit. (D) Data inadequate. 10. Find the figure from the options if placed in place of question mark, which will complete the figure(X). (A). . (B). (C). . (D). . 11. J, K, L, M, N, O and P are seven kids playing in the garden. They are wearing clothes of colours - black, blue, white, green, pink, yellow and brown. Out of the seven kids, three are girls. No girl is wearing either black, yellow or brown. M's sister O is wearing pink, while he is wearing brown. J is wearing blue, while his sister K is not wearing green. N is wearing yellow, while his best friend. P is a boy. What colour is K wearing ? (A) Green (B) Pink. (C) Brown (D). White. 12. Select a figure from the options which contains Fig.(X) as its part. (A). . (C). . (B). Fig.(X). (D). 13. If in the following groups of numbers after adding all the digits of each group, are arranged in decreasing order, then which will be the middle group ?. 853, 395, 486, 249, 497, 766, 914 (B) 497 (C) 486. (A) 395. (D) 766. 14. There is a Problem Figure having two parts I and II. The Problem Figure has some characteristics. Select the figure from the options which has the same commonality.. (A). (C). I. II. I. II. . (B). . (D). I. II.

No results found