INSTANT CLASS 7 ebook INTERNATIONAL MATHEMATICS OLYMPIAD 5 Years Solved Papers (2014-2018)

Copyright © 2019 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 provided 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 previous years' papers of IMO exam. Published by : MTG Learning Media (P) Ltd. Corporate Office : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurugram, Haryana-122003. Phone : 0124 - 6601200 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. Do you want yourself to be updated about https://www.facebook.com/pcmbtoday https://www.youtube.com/MTGBOOKS Subscribe to our YouTube Channel BLOG Subscribe us on blog.pcmbtoday.com frequently asked questions (FAQs)

ÂÂ IMO 2014 - SET A ÂÂ IMO 2014 - SET B ÂÂ IMO 2015 - SET A ÂÂ IMO 2015 - SET B ÂÂ IMO 2016 - SET A ÂÂ IMO 2016 - SET B ÂÂ IMO 2017 - SET A ÂÂ IMO 2017 - SET B ÂÂ IMO 2018 - SET A ÂÂ IMO 2018 - SET B Contents CLASS 7

CLASS 1 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics Learning English Learning Science Learning EVS Grammar Learning & Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in For latest releases and revised editions CLICK HERE

CLASS 2 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics Learning Science Learning & EVS Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad Learning English MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in Learning Grammar For latest releases and revised editions CLICK HERE

CLASS 3 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics Learning Science Learning & EVS Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad Learning English MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in Learning Grammar For latest releases and revised editions CLICK HERE

CLASS 4 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics Learning Science Learning & EVS Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad Learning English MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in Learning Grammar For latest releases and revised editions CLICK HERE

CLASS 5 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics Learning Science Learning & EVS Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad Learning English MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in Learning Grammar For latest releases and revised editions CLICK HERE

CLASS 6 International General Knowledge Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Learning Computers Learning Mathematics NCERT at your Fingertips Learning & Knowing National Science Olympiad International Mathematics Olympiad International English Olympiad National Cyber Olympiad MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in For latest releases and revised editions CLICK HERE

CLASS 7 National Science Olympiad International Mathematics Olympiad International General Knowledge Olympiad International English Olympiad National Cyber Olympiad Learning Computers Learning Mathematics NCERT at your Fingertips Learning & Knowing Master Mental Ability in 30 Days Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Science IQ Challenge Math IQ Challenge MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in For latest releases and revised editions CLICK HERE

CLASS 8 National Science Olympiad International Mathematics Olympiad International General Knowledge Olympiad International English Olympiad National Cyber Olympiad Reasoning Maths Practice-cumWorkbook Science Practice-cumWorkbook Science IQ Challenge Math IQ Challenge Learning Computers Learning Mathematics NCERT at your Fingertips Learning & Knowing Master Mental Ability in 30 Days MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in For latest releases and revised editions CLICK HERE

CLASS 9 National Science Olympiad International Mathematics Olympiad International General Knowledge Olympiad International English Olympiad National Cyber Olympiad Reasoning Science IQ Challenge Math IQ Challenge Master Mental Ability in 30 Days NCERT at your Fingertips NTSE Chapterwise NTSE Explorer MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in For latest releases and revised editions CLICK HERE

CLASS 10 National Science Olympiad International Mathematics Olympiad International General Knowledge Olympiad International English Olympiad National Cyber Olympiad Reasoning Science IQ Challenge Math IQ Challenge NCERT at your Fingertips MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in MAT for NTSE NTSE Explorer For latest releases and revised editions CLICK HERE NTSE Chapterwise

For Classes 6, 7, 8, 9, 10, 11 & 12 Class 6 Class 7 Class 8 Class 9 Class 10 11 Class 12 Class

FOUNDATION COURSE For Classes 6, 7, 8, 9 & 10 JEE (Main & Advanced) | NEET | BOARDS | OLYMPIAD | NTSE Class 8 Class 9 Class 10 Class 6 Class 7

Class 10 Class 11 Class 12 For Classes 10, 11 and 12

For Classes 10 & 12 Class 10 Class 12

Year 2014 Class 7 Set A

8th IMO - Set A 1 1. Find the missing figure in the given pattern. ? A. B. C. D. 2. A cube and its net is given below. Identify the letter on the top of the cube. ? P R S T U A. S B. T C. U D. R 3. If Armaan is facing South-east of P after turning 135° clockwise, then he was facing at first. A. North B. North-west C. West D. North-east N S W P E 4. If the figures having some characters given below follow the same rule, then find the missing number from the options. 1728 12 144 2772 22 126 ? 144 16 A. 1304 B. 2304 C. 2034 D. 1034 5. Arrange the given below words in the order as in a dictionary. (i) Mercury (ii) Showroom (iii) Rice (iv) Petrol (v) Oranges A. (i), (v), (iv), (ii), (iii) B. (i), (iv), (v), (iii), (ii) C. (i), (v), (iv), (iii), (ii) D. (ii), (iii), (iv), (v), (i) 6. Select the figure from the options which is not exactly embedded as one of the part in the given figure. A. B. C. D. 7. Which of the following is the correct mirror image of Figure (X), if the mirror is placed vertically to the left? Figure (X) A. B. C. D. 8. Count the number of triangles in the given figure. A. 22 B. 20 C. 19 D. 21 9. Which of the following options best depicts the given Venn diagram? A. Plants, Animals, Flowers B. Pencil, Eraser, Pen C. Toy cars, Toys, Plastic objects D. Basketball players, Females, Sportsman Logical Reasoning

8 × 12 ÷ 3 > P A. 15 B. 18 C. 21 D. 14 13. Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rahul defeat? A. Son B. Father C. Brother D. Father-in-law 14. P, Q, R, S, T, V and W are sitting around a circle facing at the centre. V is second to the left of P and second to the right of W. T is third to the right of Q and is not an immediate neighbour of V. S is third to the right of R. In which of the following groups is the last person sitting between the first and the second persons? A. RPQ B. TWS C. QPR D. PTR 15. A piece of paper is folded in such a manner as shown and punched. Select the unfolded form of piece of paper. A. B. C. D. MATHEMATICAL REASONING 16. Priya earned ` 25000 in a month. The given graph shows the amount of money saved by Priya in five months. What was the amount of money she spend in five months? 10000 8000 6000 4000 2000 0 Aug. Sep. Oct. Nov. Dec. Amount (in ) ` Months A. ` 970000 B. ` 100000 C. ` 107000 D. ` 117000 17. Select the correct match. Figure Fraction of unshaded part A. 2 9 B. 2 3 C. 1 6 D. 2 3

(–9) is less than (–9) – (–2). Which of the following statements is/are correct? A. Only (i) B. Both (i) and (iv) C. Only (iv) D. Both (i) and (iii) 26. The three scales below are perfectly balanced if • = 3. What are the values of D and * respectively? (i) *****   (ii)   * * (iii) ***    A. 4, 7 B. 6, 3 C. 7, 4 D. 3, 6 MATHEMATICAL REASONING

÷ . A. 2.833 B. 0.28 C. 0.000028 D. 0.00028 36. A 5 kg bag of rice cost ` 8 per kg. Mr. Mohit bought ` 120 worth of rice. If he repacked the rice into smaller packets each weighing 3 5 kg, how many packets would he get? A. 15 B. 12 C. 9 D. 25 EVERYDAY MATHeMATICS 37. It takes 17 full specific type of trees to make one tonne of paper. If there are 221 such trees in a forest, then to save 7 13 part of the forest, how much of paper we have to save? A. 6 tonnes B. 8 tonnes C. 7 tonnes D. 4 tonnes

l/2 – l = 0 25, 20 47. Which of the following statements is correct? A. The reciprocal of a proper fraction is a proper fraction. B. The product of two improper fractions is less than both the fractions. C. To multiply a decimal number by 1000, we move the decimal in the number to the right by three places. D. Product of two fractions = Product of their denominators Product of their numerators EVERYDAY MATHeMATICS

(p * r) A. Statement 1 is true and statement 2 is false. B. Statement 1 is false and statement 2 is true. C. Both statements 1 and 2 are true. D. Both statements 1 and 2 are false. SPACE FOR ROUGH WORK

Year 2014 Class 7 Set B

8th 2 IMO - Set B 1. A is father of X; B is mother of Y. Sister of X and Z is Y. Which of the following statements is definitely not true? A. B is the mother of Z B. X is the sister of Z. C. Y is the son of A. D. B has one daughter. 2. Seven friends P, Q, R, S, T, U and V are standing in a line, facing garden. T is somewhere ahead of U. There is exactly one person standing between R and V. S is immediately behind P. U is behind both Q and S. If S and R are fourth and fifth respectively in the line, then which of the following must be true? A. P is first B. Q is first C. U is sixth D. U is seventh 3. Select the combination of numbers so that the letters are arranged accordingly to form a meaningful word. H B M R S U O 1 2 3 4 5 6 7 A. 3, 4, 2, 7, 6, 1, 5 B. 5, 2, 7, 1, 4, 6, 3 C. 4, 1, 7, 3, 2, 6, 5 D. 4, 1, 7, 3, 2, 5, 6 4. How many 1's are there in the following sequence of numbers which are immediately followed by 2, if 2 is not immediately followed by 3? 1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5 A. 2 B. 4 C. 5 D. 7 5. Select the pair which satisfies the same conditions of placement of dots. P Q R A. PQ B. QR C. PR D. None of these 6. Find the missing figure which will continue the given series. ? A. B. C. D. 7. Select the correct mirror image of Fig. (X), if the mirror is placed vertically to the right. A. Fig. (X) B. C. D. 8. Select the figure from the options which is not exactly embedded in the given Fig. (X) as one of its part. A. Fig. (X) B. C. D. logical reasoning logical reasoning

3(5 of 3 – 7)}] A. –20 B. –15 C. 12 D. 16 17. Arrange the shaded fraction of following figures in ascending order. A. P, Q, R, S B. S, Q, R, P C. Q, R, P, S D. R, S, Q, P

d/2. A. 92° P Q R S T U a b c d B. 115° C. 112.5° D. 135.5°

9 = 5x – 3 32. Which of the following statements is INCORRECT? A. Mean, Median and Mode may be same for some data. B. The probability of getting an ace out of a deck of cards is less than 1. C. Mean of the data is always from the given data. D. Median of the data may or may not be from the given data. 33. Diameter of Earth is 12756000 m. Few years ago, a new planet was discovered whose diameter is 5/43 of the diameter of Earth. Find the radius of this planet (in km). A. 925.33 B. 428.92 C. 741.63 D. 892.99 34. Given below are heights of 15 girls of class VIII measured in cm : 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find a. The range of the given data. b. The median height of the girls. a (in cm) b (in cm) A. 26 142 B. 30 144 C. 140 28 D. 21 140 35. The three scales below are perfectly balanced if = 5. What are the values of D and ● respectively? (i) (ii) (iii) A. 8.75, 3.75 B. 4.25, 5.75 C. 9.25, 5.55 D. 2.12, 4.72 36. A milkman buys milk at ` 7, ` 8 and ` 8 per litre for three successive years. What approximately is the average cost per litre of milk if he spends ` 4000 each year? A. ` 7.98 B. ` 8 C. ` 8.50 D. ` 7.64 37. Two pens and three pencils cost ` 86. Four pens and a pencil cost ` 112. Find the cost of a pen and pencil respectively. A. ` 15, ` 8 B. ` 25, ` 12 C. ` 30, ` 8 D. ` 20, ` 21 38. Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, then how old is Sachin? A. 16 years B. 18 years C. 14 years D. None of these

1500(40 – x) = 85000 25 15 B. 2500x – 1500(40 – x) = 85000 36 4 C. 2500x × 1500(x – 40) = 85000 20 20 D. 2500x – 1500(x – 40) = 85000 15 25 47. Study the given statements. Statement-I : e and h are supplementary angles. Statement-II : c and g are equal angles. A B C D a c d e f b g h l A. Both statement-I and statement-II are true. B. Statement-I is true and statement-II is false. C. Statement-I is false and statement-II is true. D. Both statement-I and statement-II are false.

2 D. n – 3

Year 2015 Class 7 Set A

| 9th 2 IMO | Class-7 | Set-A | Level 1 1. Find the missing number, if same rule is followed row-wise or column-wise. 2 2 4 41 1 3 36 ? 91 3 0 A. 25 B. 48 C. 59 D. 73 2. Which of the following options will complete the given figure matrix? ? A. B. C. D. 3. Count the number of cubes in the given figure. A. 20 B. 35 C. 40 D. 38 4. Which of the following letter should come next in the given letter sequence? M M P M P T M P T R M P T R W M P T R W K M P ? A. P B. W C. R D. T 5. Kunal faces towards North. Turning to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next, he move 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he now from his starting point? A. South-West B. South C. North-West D. South-East 6. In a certain code language, CHEMISTRY is written as NFIDITUSZ. How is BEANSTOCK written in that language? A. CFBOSLDPU B. CFBOSUPDL C. OBFCSUPDL D. OBFCSLDPU 7. Which of the following Venn diagrams best represents the relationship amongst "Bed, Ward, Patient"? A. B. C. D. 8. There is a certain relationship between the figures (i) and (ii). Establish the same relationship between figures (iii) and (iv) by selecting a suitable figure from the options that will replace the (?) in fig. (iv). ? (i) (ii) (iii) (iv) logical reasoning

9th IMO | Class-7 | Set-A | Level 1 | 3 A. B. C. D. 9. If the letters of the English alphabetical series are arranged in reverse order, which letter will be in the midway between the 19th letter from the left end and the 18th letter from the right end? A. I B. J C. M D. S 10. Which of the following options satisfies the same condition of placement of the dot as in Fig. (X)? Fig. (X) A. B. C. D. 11. If it is possible to make a meaningful word using the sixth, the seventh and the ninth letters in the word SIMPLETON, then the second letter of the word is the answer. If no meaningful word is formed, give 'X' as your answer. If more than one such word is formed, give 'M' as your answer. A. E B. M C. N D. X 12. If the first and the third digits in each of the following numbers are interchanged, then which number will be the smallest? 348 436 652 198 563 A. 348 B. 436 C. 652 D. 198 13. Select the correct mirror image of Fig. (X), if the mirror is placed vertically to the left. 0 1 2 3 Fig. (X) A. 3 1 2 0 B. 0 1 2 3 C. 0 3 D. 3 0 14. Study the information carefully. Among M, N, O, P and Q, N is taller than only P. O is the 2nd tallest person. O is taller than both M and N. Which of the following is the tallest? A. P B. Q C. M D. O 15. A solid and its incomplete net are given. Which one of the following options will complete the given net? Solid Net A. B. C. D.

2 22. In the figure given below, ABCD is a straight line. Find x. 50° A D B F E x 40° C A. 25° B. 35° C. 45° D. 55° 23. The points A, B, C and D lie on a straight line. The ratio of the length of AB to the length of BC is 3 : 4 and the ratio of the length of AC to the length of CD is 2 : 1. Find the ratio of the length of BC to the length of AD. A B C D A. 21 : 8 B. 1 : 21 C. 8 : 21 D. 5 : 6 24. Manan bent a piece of wire of length 1.5 m to form the given figure. The figure is made up of 4 squares and 4 equilateral triangles. If the length of XY is 20 cm, how much wire did he have left with him? MATHEMATICAL REASONING

6.0017. A. 6.2963 B. 62.965 C. 629.6357 D. 62.8975 31. What is the least number which when divided by 8, 9, 12, 15 leaves a remainder 1 in each case? A. 179 B. 181 C. 359 D. 361 32. How many of the following transactions are profitable? (i) Two tables bought for ` 30,500 and sold each at ` 15,500. (ii) Three fans bought for ` 12,500 and sold each at ` 4,300. (iii) Three shirts bought for ` 450 each and sold at ` 1,430. (iv) Two computers bought for ` 15,200 each and sold at ` 38,500. (v) A pair of denims bought for ` 1,000 and sold at ` 850. (vi) Two mobiles bought for ` 49,000 and sold each at ` 25,300. A. 6 B. 3 C. 4 D. 5 33. The temperature difference between Gangtok and Shillong is ______ the temperature difference between Shillong and Mumbai. -15 -10 -5 0 5 10 15 20 25 Gangtok Shillong Kerala Delhi Mumbai A. Greater than B. Smaller than C. Equal to D. Can't be determined

| 9th 6 IMO | Class-7 | Set-A | Level 1 34. Shifting one term from one side of an equation to another side with a change of sign is known as A. Commutativity B. Transposition C. Distributivity D. Associativity 35. A rational number –2/3 ________. A. Lies to the left side of 0 on the number line. B. Lies to the right side of 0 on the number line. C. It is not possible to represent on the number line. D. Cannot be determined on which side the number lies. EVERYDAY MATHeMATICS 36. At Shimla, the temperature was –7°C on Tuesday. It then dipped by 3°C on wednesday. On Thursday, it rose by 6°C. What was the temperature of Shimla on Wednesday and Thursday respectively? A. – 4°C, –10°C B. –10°C, – 4°C C. –12°C, 8°C D. –10°C, 4°C 37. The average height of Sanchi and Aarav is 12p cm. The average height of Aarav, Charu and Deepika is 10p cm. The average height of Charu and Deepika is 8p cm. Find Sanchi's height in terms of p. A. 15 p cm B. 12 p cm C. 9 p cm D. 10 p cm 38. A shopkeeper bought 11 12 kg of onions. He packed them into packets each containing 2 15 kg of onions. (a) How many packets of onions did he get? (b) Find the weight of onions he had left. (a) (b) A. 5 5/18 kg B. 6 7/30 kg C. 6 7/60 kg D. 5 8/9 kg 39. The ratio of the number of men to the number of women at a concert is 5 : 3. The ratio of the number of women to the number of children is 2 : 5. Find the ratio of the number of children to the total number of women and men in the concert. A. 15 : 16 B. 16 : 15 C. 13 : 12 D. 12 : 13 40. Rita's watch was 10 minutes fast. Her watch showed 1:05 p.m. when she left home. She travelled for 35 minutes and arrived 5 minutes early for her dental appointment. At what time was her dental appointment? A. 13 : 20 hrs B. 13 : 25 hrs C. 13 : 35 hrs D. 13 : 55 hrs 41. Lata spent 20% of the money she had on jeans and 5% on a pair of slippers. She was left with ` 2,700. How much money did she have in the beginning? A. ` 3,600 B. ` 4,900 C. ` 3,800 D. ` 6,200 42. Juhi sells a washing machine for ` 13,500. She loses 20% in the bargain. What was the price at which she bought it? A. ` 16,875 B. ` 17,945 C. ` 18,459 D. ` 20,000 43. A class has 20 girls and 16 boys. One student is selected at random. Find the probability that the selected student is a girl. A. 1 4 B. 5 9 C. 3 4 D. 4 9 44. Raman goes to the school book store with ` 100. He purchases some books and comes back with ` 68.70 with him. After sometime, he goes again to the store with ` 250 and purchases some books and comes back with ` 165.50. How much did he spend in all and how much money is left with him? A. ` 126.93, ` 234.20 B. ` 234.20, ` 118.96 C. ` 115.80, ` 234.20 D. ` 115.80, ` 126.93

∠f =180° 49. Observe the given data of the height of 15 students (in cm). 146, 139, 135, 136, 149, 166, 164, 152, 163, 141, 171, 155, 144, 159, 146 Match the columns : Column-I Column-II (i) Range of the data is (p) 151.06 cm (ii) Mean height of the (q) 146 cm students is (iii) Median of the data is (r) 36 cm (iv) Mode of the data is (s) 149 cm A. (i)→(s), (ii)→(q), (iii)→(r), (iv)→(p) B. (i)→(p), (ii)→(q), (iii)→(r), (iv)→(s) C. (i)→(r), (ii)→(s), (iii)→(p), (iv)→(q) D. (i)→(r), (ii)→(p), (iii)→(s), (iv)→(q) 50. Select the correct match. Figure Congruence criteria A. M N O A B C SAS B. A B C D F E RHS C. P T Q R S SSS D. D E F H G I ASA SPACE FOR ROUGH WORK

Year 2015 Class 7 Set B

P B 1 * Z D O 7 Y A. @ B. z C. F D. 4 6. Which of the following options satisfies the same condition of placement of the dots as in the Fig. (X)? A. B. Fig. (X) C. D. 7. In a certain code language, GRASP is coded as BMVNK. How would CRATE be coded in that language? A. FUDQH B. HWFSJ C. GVERI D. XMVOZ 8. Which of the following options is exactly embedded in Fig. (X) as one of its part? Fig. (X) A. B. C. D. logical reasoning

5) years C. (3y – 5) years D. (y – 5) years 21. There are three types of counters , and available. The value of is –2, is 3, and is –1. Now, each circle below has some of these counters and you are to place some inside the circle (if needed) so that overall sum of the counters within each circle gives the result that is shown in the box. �4 1 2 0 How many triangles are added altogether? A. 13 B. 6 C. 9 D. 16 22. Which of the following statements is TRUE? A. The products of fractions are expressed as Product of the numerators Product of the denominators . B. The product of two proper fractions is greater than the individual fractions involved in the operation. MATHEMATICAL REASONING

5 = 7 C. 3x – 1 = –1 D. 3x – 1 = 1

| 9th 6 IMO | Class-7 | Set-B | Level 1 33. Simran mixed 75 ml of fruit juice and 225 ml of water to prepare 3 cups of fruit punch. Which of the following shows the right proportion of fruit juice and water if she makes 4 cups of fruit punch? Fruit Juice Water A. 100 ml 300 ml B. 300 ml 100 ml C. 300 ml 900 ml D. 900 ml 300 ml 34. Rahul has 5 red balls and 7 green balls. He choose a ball randomly. Find the probability that the chosen ball is of green colour. A. 5 12 B. 7 12 C. 1 6 D. 2 3 35. Find the value of y – x. Principal (in `) Rate (% p.a.) Time (in yrs) S.I. (in `) 1000 13 2 x y 15 5 750 A. 1000 B. 540 C. 260 D. 740 36. In a basket, 5 9 of the fruits are apples and the rest are oranges. 3 10 of the apples are green in colour. If there are 15 green apples, then how many fruits are there in the basket? A. 45 B. 50 C. 90 D. 135 37. The distance above the ground is represented by positive integers and the distance below the ground by negative integers. An elevator begins to descend from 15 m above the ground at a rate of 5 m per minute. What will be its position after 45 minutes? A. 210 m B. –210 m C. 225 m D. –225 m 38. The weight of grain in one store is twice that in the other. If 750 tonnes of grain from the first store and 350 tonnes of grain from the second store are taken out, the weight of grain in both the stores will be the same. Find the weight of grain in each store (in tonnes). A. 800, 400 B. 400, 200 C. 1200, 600 D. 1000, 500 39. For investing money in a firm, Roy and Rajesh get interest at the rate of 18% per annum. What interest will they get after 6 years, if they deposit ` 10000 with the firm now and ` 5000 three years from hence? A. ` 13500 B. ` 14020 C. ` 15062 D. ` 60000 40. A jar contains 3 blue, 2 black, 6 red and 8 white balls. If a ball is drawn at random, find the probability that the ball drawn is not red. A. 12 19 B. 5 19 C. 13 19 D. 10 19 41. A vehicle covers a distance of 64.8 km in 4.4 L of petrol. How much distance will it cover in 2 L of petrol? A. 29.45 km B. 36.38 km C. 42.39 km D. 50.03 km 42. Neha bought a mobile for ` 12,500 and sold it at a profit of 13%. How much money did she get for it? A. ` 12,632 B. ` 12,926 C. ` 13,280 D. ` 14,125 EVERYDAY MATHeMATICS

9th IMO | Class-7 | Set-B | Level 1 | 7 43. Anju saves ` 600 from her allowance. If this is 20% of her allowance, what is her allowance? A. ` 2500 B. ` 3000 C. ` 4500 D. ` 4200 44. A door of dimensions 3 m and 2 m is fitted in a wall. The dimensions of the wall are 10 m and 9 m. Find the cost of whitewashing the wall, if the rate of whitewashing is ` 4 per m2 . A. ` 336 B. ` 315 C. ` 250 D. ` 275 45. The average age of Rahul, Amit, Vijay and Salman is 4q years old. Rahul is 2q years old, Amit is q years old and Vijay is 14 years old. How old is Salman? A. (14q) years B. (13q) years C. (14q – 13) years D. (13q – 14) years Achievers section 46. Select the correct match. Figure Net A. B. C. D. 47. Fill in the blanks. A number that can be expressed in the form p q , where p and q are __(i)____ and ___(ii)____ is called a rational number. All ___(iii)____ and ___(iv)____ are rational numbers. ___(v)____ is neither a positive nor a negative rational number. (i) (ii) (iii) (iv) (v) A. Natural q ≠ 0 Integers Fractions 0 numbers B. Integers q ≠ 0 Integers Fractions 0 C. Integers q = 0 Natural Integers 1 numbers D. Natural q ≠ 0 Natural Integers 1 numbers numbers 48. Study the statements carefully. (P) The line segment joining a vertex of a triangle to the mid point of its opposite side is called a median of the triangle. A triangle has 3 medians. (Q) The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes. Which of the following options hold? A. Both (P) and (Q) are true. B. Both (P) and (Q) are false. C. (P) is true, (Q) is false. D. (P) is false, (Q) is true. 49. In the figure below, the square ABCD is made up of two parts, X and Y. The part X, is formed by a semicircle and the line AB. The perimeter of X is 36 cm and the perimeter of the shaded part Y, is 64 cm. A B D C X Y (a) Find the perimeter of the square ABCD. (b) Find the area of the shaded part Y. (a) (b) A. 58 cm 129 cm2 B. 56 cm 129 cm2 C. 58 cm 119 cm2 D. 56 cm 119 cm2

| 9th 8 IMO | Class-7 | Set-B | Level 1 50. The area of rectangle ABCD below is 180 cm2 . EF divides the rectangle into two equal parts. If DP = PQ = QC, find the ratio of the area of DDFQ to the area of DDEF. A B D C E F P Q A. 1 : 3 B. 3 : 2 C. 2 : 3 D. 3 : 1 SPACE FOR ROUGH WORK

Year 2016 Class 7 Set A

| 10th 2 IMO | Class-7 | Set-A | Level 1 1. Select a figure from the options which will complete the given figure matrix. ? A. B. C. D. 2. Ajay runs 30 m towards East, turns right and runs 20 m. He turns right and runs 8 m. He again turns left and runs 6 m and then turns left and runs 15 m. Finally he turns left and runs 7 m. In which direction is he facing now? A. North B. North-East C. East D. West 3. Find the missing number, if same rule is followed in all three figures. 5 4 10 30 7 5 9 28 6 6 ? 54 A. 38 B. 36 C. 12 D. 15 4. Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing the centre. (i) A, who is sitting immediately between G and C, is just opposite to F. (ii) E, who is sitting immediately between H and C is second to the right of A and second to the left of F. (iii) D is sitting second to the left of G. Who is sitting between D and G? A. A B. B C. F D. E 5. Count the number of cubes in the given figure. A. 35 B. 36 C. 26 D. 34 6. In a certain code language, '315' means 'good sweet fruit', '632' means 'good red rose' and '295' means 'rose and fruit'. Which of the following stands for 'fruit' in that language? A. 1 B. 5 C. 3 D. 2 7. How many such pairs of letters are there in the word CLASSROOM each of which has as many letters between them in the word as there are between them in the English alphabet? A. Three B. Five C. Four D. Two 8. Which of the following Venn diagrams correctly describes the relationship amongst, "Clothes, Flowers and Bright things"? A. B. logical reasoning

10th IMO | Class-7 | Set-A | Level 1 | 3 C. D. 9. Select a figure from the options which satisfies the same conditions of placement of dots as in Fig. (X). Fig. (X) A. B. C. D. 10. Select the odd one out. A. B. C. D. 11. Find the next term in the given series. PMT, OOQ, NQN, MSK, ? A. LWI B. LVH C. LVI D. LUH 12. Select the correct mirror image of Fig. (X), if the mirror is placed vertically to the left. Fig. (X) A. B. C. D. 13. In which of the following figures, Fig. (X) is exactly embedded as one of its part? Fig. (X) A. B. C. D. 14. Which of the following figures will complete the given figure series? ? A. B. C. D. 15. A square transparent Sheet (X) with a pattern and a dotted line is given. Select the option figure from the options which shows the folded form of Sheet (X) along the dotted line. Sheet (X) A. B. C. D.

0.09 (15 – x) = 0.07 (15) A. 12 B. 0.10 C. 10 D. 0.01 19. If l || m and CD is transversal, ∠1 and ∠2 represents . 2 1 l m C D A. Co-interior angles B. Corresponding angles C. Alternate interior angles D. Exterior angles 20. Which of the following is correct relation between x and y? x y B C A A. x > y B. x < y C. x = y D. x y = 1 2 21. Which of the following triangles is congruent to the given triangle? 80° 8 m 5 m A. 8 m 80° 5 m B. 70° 5 m 8 m C. 80° 8 m 5 m D. 80° 8 m 5 m 22. Which of the following statements is CORRECT? A. The product of 231 119 and 117 118 is greater than 231 119 . B. The product of 17 25 117 225 and is greater than 17 25 . C. The product of 1735 2001 2734 2724 and is greater than 1735 2001 . D. 1 3 4 5 of is greater than 3 4 8 7 of . 23. The runs scored in a cricket match by 11 players is as follows: 9, 15, 121, 51, 101, 81, 50, 16, 82, 11, 11 Find the mean, mode and median respectively of this data. A. 48, 11, 51 B. 49.81, 11, 51 C. 49.90, 11, 50 D. 49.81, 11, 50 24. In the given figure, ABCD is a trapezium. FG and EC are straight lines. Find ∠GBC. A B D C E F G 30° 45° A. 70° B. 105° C. 150° D. 60° MATHEMATICAL REASONING