Class-7-imo-5-years-e-book-l2-2017.pdf

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7

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International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

International English Olympiad

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Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

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Treasure

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CLASS 2

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

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CLASS 3

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

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CLASS 4

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

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CLASS 5

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

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CLASS 6

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning Mathematics

Learning & Knowing

Anubhuti

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CLASS 7

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Math IQ Challenge

Science IQ Challenge

Learning Computers

Learning Mathematics

Master Mental Ability in 30 Days

Learning & Knowing

Anubhuti

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CLASS 8

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Math IQ Challenge

Science IQ Challenge

Learning Computers

Learning Mathematics

Master Mental Ability in 30 Days

Learning & Knowing

Anubhuti

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CLASS 9

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

MAT for NTSE

NTSE Explorer

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International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

MAT for NTSE

NTSE Explorer

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 11

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

NEET Success Blueprint

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CLASS 12

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

NEET Success Blueprint

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

11

Class

12

Class 8

Class

Class 7

Class 9

Class 10

JEE (Main & Advanced) | NEET | BOARDS | OLYMPIAD | NTSE

FOUNDATION COURSE For Classes 6, 7, 8, 9 & 10

Class 6

Class 7

Class 8

Class 9

Class 10

IMPORTANT INSTRUCTIONS Exam Date : 11th February 2018. Center of exam : As assigned by SOF on your admit card. Kindly coordinate with your school coordinator for exact information about exam. Write to [email protected] for any enquiry. Mode of exam : IEO/NSO/IMO level 2 for academic year 2017-18 will be a paper-pen objective test. Pattern of the exams : INTERNATIONAL ENGLISH OLYMPIAD Class 3 to 4

5 to 12

Section

No. of Questions Marks per Question

Word and Structure Knowledge, Reading Achievers Section Grand Total Word and Structure Knowledge, Reading Achievers Section Grand Total

Total Marks

30

1

30

5 35

2

10 40

45

1

45

5 50

3

15 60

NATIONAL SCIENCE OLYMPIAD Class 3 to 4

5 to 10

11 and 12

Section

No. of Questions Marks per Question

Science Achievers Section Grand Total Science Achievers Section Grand Total Physics & Chemistry Achievers Section Mathematics/Biology Grand Total

30 5 35 45 5 50 25 5 20 50

1 2 1 3 1 3 1

Total Marks 30 10 40 45 15 60 25 15 20 60

INTERNATIONAL MATHEMATICS OLYMPIAD Class 3 to 4

5 to 12

Section Mathematics Achievers Section Grand Total Mathematics Achievers Section Grand Total

No. of Questions Marks per Question 30 5 35 45 5 50

1 2 1 3

Total Marks 30 10 40 45 15 60

CLASS 7

Contents ÂÂ 5th IMO - Level-2 (2012)

ÂÂ 6th IMO - Level-2 (2013)

ÂÂ 7th IMO - Level-2 (2014)

ÂÂ 8th IMO-Level 2 was an online exam. (2015)

ÂÂ 9th IMO - Level-2 (2016)

ÂÂ 10th IMO - Level-2 (2017)

5th

LEVEL - 2 Year 2011-12

2

| 5th IMO | Level-II | Class 7

Section I : Logical Reasoning 1.

If the first and sixth letters in the word 'COMPROMISE' are interchanged, also the second and seventh letters are interchanged and so on, which letter will be seventh letter from the right?



(A) I

(B) S

(C) E

2.

If in a certain code VOWEL is coded as 46553, then how will CONSONANT be coded ?



(A) 365165152

3.

Arrange the given words in a meaningful sequence and find the correct answer from the

(B) 365164152

(D) R

(C) 365154152

(D) 365164162

options.

1.

Poverty

2.



5.

Disease



(A) 2, 3, 4, 5, 1

4.

Choose the figure which is different from the rest. (A)

5.

Population

(B) 3, 4, 2, 5, 1

(B)



6.

4.

(C) 2, 4, 1, 5, 3





Unemployment

(D) 1, 2, 3, 4, 5

(D)





In the given series what will replace the question mark ?

(A)

S 17

(B)

J P Q W , , , , ___ ? 8 14 15 21 Z (C) 25

T 19

(D)

X 22

Choose the correct mirror-image of the given figure (X) if the mirror is placed along MR.

(A) 7.

Death

(C)



3.

(B)



(C)



(D)





Pointing to a boy, Meena said, "He is the son of my grandfather's only child." How is the boy related to Meena?



(A) Brother

(B) Cousin

(C) Uncle

(D) Data inadequate

8.

A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point ?



(A) 5 metres

9.

Choose the figure which is different from the rest. (A)







(B) 10 metres

(B)





(C) 20 metres

(C)





(D) 15 metres

(D)



3

5th IMO | Level-II | Class 7 |

10. The given question consists of two sets of figures. Figures 1, 2, 3 and 4 constitute 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).

(A)

(B)



(C)





(D)





11. Choose the figure from the options in which the given fig. (X ) is embedded.



(A)

(B)



(C)



(D)



12. A bus for Mumbai leaves every 40 minutes from a bus stand. An enquiry clerk told a person that the bus had already left 10 minutes ago and the next bus will leave at 10 : 45 a.m. At what time

was this information given to the man? (A) 10 : 05 a.m. (B) 9 : 55 a.m.

(C) 10 : 35 a.m.

(D) 10 :15 a.m.

13. P, Q, R and T appeared in an examination. Marks obtained by P were less than the marks obtained by Q. R's marks were more than those of Q but not more than the marks obtained by T. Who got

the second highest marks ? (A) P (B) T

(C) R

(D) Q

14. A piece of sheet is folded and cut and then unfolded. One of the four options exactly resembles the unfolded paper. Select the correct option.

(A)

(B)



(C)







(D)



15. Find the figure from the options which completes the Fig. (x).



(A)

(B)

(C)







(D)



4

| 5th IMO | Level-II | Class 7

16. P, Q, R, S, T, U, V and W are sitting in a circle and are facing the centre.

(i) P is second to the right of T who is the neighbour of R and V.



(ii) S is not the neighbour of P .



(iii) V is the neighbour of U



(iv) Q is not between S and W. W is not between U and S.



Which of the following are not neighbours ? (A) RV (B) UV

17.

Which number will replace the question mark in given figure? (A) 45 (B) 29 (C) 39 (D) 37

(C) RP

(D) All of these ? 3 22

5

13 8

18. Find the figure from the options which will continue the series established by the problem figures.



(A)

(B)



(C)



(D)





19. What is the number which is just before the middle number between 29 and 39 ? (A) 32 (B) 35 (C) 34 (D) 33 20. Find the figure from the options which will continue the series established by the problem figures. Problem Figures

(A)





(B)



(C)





(D)



Section II : Mathematical reasoning 21. What is the largest possible two digit number by which 2179782 can be divided?

(A) 88

(B) 50

(C) 66

(D) 99

22. In the given figure, ABC, BD = CD = AC, m∠ABC = 27°, m∠ACD = y. Find the value of y.



(A) 27°

(B) 54°

(C) 72°

(D) 58°

5

5th IMO | Level-II | Class 7 |

23. The sum of 9 numbers is 246. If the average of three of them is 24, what is the average of the

remaining numbers ? (A) 30

(B) 29

(C) 31

(D) 25

1 is subtracted from a number and the difference is multiplied by 3, the result is 4. What is the 3 number ? 5 7 5 7 (A) 3 (B) (C) (D) 4 2 3

24. If



25. The radius of the given circle is 7 cm, then the area of the shaded portion is ______.

(A) 129.5 cm2



(B) 128 cm2



(C) 117 cm2



(D) 135 cm2 3

8 8 26. The value of x so that   ×   5 5

(A) 0

−6

5 =  8

(B) 1

1− 2 x

is ______. (C) – 1

(D) 2

27. The area of rectangle ABCD is 48 cm2. What is the area of the shaded

B

triangle ?

(A) 72 cm2



(B) 36 cm2



(C) 32 cm2



(D) 60 cm2

m

E

m 4c

A

8c

C

D

28. The difference between the sum of even numbers and sum of odd numbers between 10 and 20 is ______.

(A) 13

(B) 14

(C) 15

(D) 16

DIRECTION (Q.No. 29-30) : Study the following graph carefully and answer the questions given below .

29. What is the ratio of the number of females from universities P and Q together to the number of males in universities R and T together ?

(A) 27 : 32

(B) 27 : 28

(C) 25 : 28

(D) 28 : 27

6

| 5th IMO | Level-II | Class 7

30. The number of males in University Q are what percent of the total number of students in university S?

(A) 62

31. A fraction ______.

(A) 2, 3

(B) 66

(C) 64

(D) None of these

x can be expressed as a terminating decimal if y has no prime factors other than y (B) 3, 5

(C) 2, 5

(D) 2, 3, 5

32. Find the sum of ∠ a, ∠ b, ∠ c and ∠ d. a

32°

c

38°

b

d



(A) 280°

(B) 290°

(C) 360°

(D) 240°

33. In the given figure, l || m. If s and t be transversals such that s is not parallel to t, find the values of x + y.

(A) 205°



(B) 105°



(C) 75°



(D) 255°

34. If m =

t

60°

y° x°

4 pq m + 2 p m + 2q , then the value of + = _____. p+q m − 2 p m − 2q

(A) 2

s

(B) 4

(C)

2mpq (p + q)

35. If 45 – [28 – {37 – (15 – k)}] = 58, then the value of k is ______. (A) 19 (B) –19 (C) –39

l 45°

m

(D) None of these

(D) None of these

36. In the given figure, if AB = AC, then ∠ACB – ∠DBF is _____.



(A) 30°

(B) 20°

(C) 10°

37. Which of the following is not a rational number between

6 (A) 7

2 (B) 3

4 (C) 5

5 7 and ? 7 8

(D) 15°

3 (D) 4

38. If two sides of an isosceles triangle are 3 cm and 8 cm, then the length of the third side is

______. (A) 2 cm

(B) 8 cm

(C) 3 cm

(D) 1 cm

7

5th IMO | Level-II | Class 7 |

39. How many numbers between 11 and 111 are multiples of both 2 and 5?

(A) 10

(B) 12

(C) 11

(D) 70

40. Simplify : (a 3 – 2a 2 + 4a – 5) – (– a 3 – 8a + 2a 2 + 5)

(A) 2a 3 + 7a 2 + 6a – 10

(B) 2a 3 + 7a 2 + 12a – 10



(C) 2a 3 – 4a 2 + 12a – 10

(D) 2a 3 – 4a 2 + 6a – 10

Section III : Everyday Mathematics 41. At present, the ratio of the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

(A) 12 years

(B) 15 years

(C) 19

1 years 2

(D) 21 years

42. By selling a bicycle for ` 3480 a person loses 25%. What is the cost price of the bicycle ? (A) ` 2610 (B) ` 4300 (C) ` 4320 (D) ` 4640 43. A dealer sold three-fourth of his articles at a gain of 20% and the remaining at cost price. Find the gain earned by him in the whole transaction.

(A) 20 %

(B) 25 %

(C) 15 %

(D) 30 %

44. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship ?

(A) 56

(B) 70

(C) 78

(D) 80

45. A man took a loan from a bank at the rate of 12% per annum simple interest. After 3 years he had to pay ` 5400 interest for the period. The principal amount borrowed by him was _____.

(A) ` 2000

(B) ` 10,000

(C) ` 15,000

(D) ` 20,000

46. A light was seen at intervals of 3 minutes. It was seen for the first time at 9:04 a.m. and the last time at 12:07 p.m. How many times was the light seen in the interval?

(A) 62

(B) 59

(C) 60

(D) 61

47. A student gets 4 marks for a correct answer and 1 mark is deducted for a wrong answer. If she has done 80 questions in all and she has got only 240 marks, the correct answers she has attempted is ______.

(A) 40

(B) 60

(C) 64

(D) Can't be determined

48. In a single throw of a die, what is the probability of getting a number greater than 4?

(A)

1 2

(B)

1 3

(C)

2 3

(D)

1 4

49. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are ______.

(A) 300

(B) 500

(C) 800

(D) 1000

1 of his marbles to Dhruv, Dhruv 6 had twice as many marbles as Hemant. How many marbles did Dhruv have at first ?

50. Dhruv and Hemant had 60 marbles altogether. After Hemant lost

(A) 30

(B) 24

(C) 36

(D) 25

| 5th IMO | Level-II | Class 7

8 SPACE FOR ROUGH WORK

6th

LEVEL - 2 Year 2012-13

2

| 6th IMO | Level-II | Class 7

Section-I : Logical Reasoning 1.

How many pairs of letters are there in the word INSENSITIVE which have same number of letters



between them as in English alphabet? (A) Three (B) Four

2.

How many such consonants are there in the given arrangement each of which is immediately

(C) Five

(D) Six

preceded by a letter and immediately followed by a symbol? E % 3 R 5 # A 6 B I J @ 2 9 H U 4  M 1 * F 7 $ W 8 P N D

(A) None

(B) One

(C) Two

(D) Three

3. If 'sky' is called 'bright', 'bright' is called 'rain', 'rain' is called 'green', 'green' is called 'air', 'air' is called 'blue' and 'blue' is called 'water', then where does a bird fly?

(A) Air

(B) Sky

(C) Bright

(D) Blue

4. If 'M' denotes '×'; 'R' denotes '–'; 'K' denotes '+' and 'B' denotes '÷'; then

24 B 4 M 8 K 6 R 4 = ? 4 7

(B) −3

1 4



(A) −3

5.

Prabir started walking towards South. He took a right turn after walking 10 metres. He again took

(C) 52

(D) 50

a left turn after walking 20 metres. Which direction is he facing now?

(A) South

(B) North

(C) West

(D) East

6.

In a row of thirty five children, M is fifteenth from the right end and there are ten children between M and R. What is R's position from the left end of the row?



(A) 15th

(B) 5th

(C) 30th

(D) Data inadequate

7. Ashwini, Priya, Sudha, Rani, Meeta, Geeta and Mukta are sitting around a circle facing the centre. Ashwini is third to the left of Mukta and to the immediate right of Rani. Priya is second to the left of Geeta, who is not an immediate neighbour of Meeta. Who is second to the left of Rani?

(A) Ashwini

8.

Select a figure from the options which contains the same placement of dots as in the Fig. (X)?



(A)

9.

How many triangles are there in the following figure?



(A) 21



(B) Meeta

(B)

(B) 22

(C) Geeta



(C)

(C) 23

(D) Sudha



(D)



(D) None of these

3

6th IMO | Level-II | Class 7 |

10. Figures (1) and (2) bear a certain relationship. Similarly, Fig. (4) bears the same relationship to the Fig. (3). Select a figure from the options which would replace the sign of question mark (?) in Fig. (4).



(A)



(B)

(C)





(D)

11. Which of the following letters will be fourth if they are arranged alphabetically as found in the dictionary?

(A) Clever

(B) Calm

(C) Cloth

(D) Custom

12. Amongst P, Q, R, S and T, each having a different weight, R is heavier than S but lighter than T. P is lighter than S. Who amongst them is the heaviest?

(A) T

(B) Q

(C) T or Q

(D) Data inadequate

13. Pointing to a photograph of a man, Neha said, "He has no sisters or daughters, but his mother is the only daughter of my mother." How is the man in the photograph related to Neha's mother?

(A) Brother-in-Law

(B) Grandson

(C) Nephew

(D) None of these

14. Select from the options that best illustrates the relationship among the three classes: "Pigeons, Birds, Dogs".

(A)

(B)



(C)





(D)

15. Select a figure from the options which will continue the same series as established by the Problem figures.



(A)

=



(B)

=

(C)



=



(D)

16. Select a figure from the options which will complete the Fig. (X).

? Fig.(X)



(A)



(B)



(C)



(D)

4

| 6th IMO | Level-II | Class 7

17. Which of the following options is the correct mirror image of the given word, if the mirror is placed vertically to the left?

(A) YSATNAF

(B) FNTASAY

FANTASY (C) YSATNAF

(D)

18. Select a figure from the options that resembles the Fig. (X) obtained by folding the transparent sheet along the dotted line.



(A)



(B)



(C)



(D)



19. On the basis of the following figures, you have to tell which number will come in place of question mark (?). 1 6

3 3

(i)



(A) 2

5

4 4

(ii)

(B) 3

?

2 (iii)

(C) 6

(D) 1

20. Select a figure from the options in which Fig. (X) is exactly embedded as one of its part.



(A)



(B)



(C)



(D)



Section-II : Mathematical reasoning 21. In the figure (not drawn to scale), ADE is an isosceles triangle with AE = AD, BCA is a right-angled triangle, FBA and ACD are equilateral triangles. Find ∠x.



(A) 38°

(B) 40°

22. What percentage of the figure is shaded?

(A) 38%



(B) 39%



(C) 40%



(D) 41%

(C) 42°

(D) 44°

5

6th IMO | Level-II | Class 7 |

23. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both

99 are wrong and the other digits are correct, then the correct answer would be ______. (A) 553681 (B) 555181 (C) 555681 (D) 556581

24. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8,

is ______. (A) 504

(B) 536

(C) 544

(D) 548

25. In the figure (not drawn to scale), ∠a is 2 times ∠x, ∠b is 3 times ∠x, ∠c is 4 times ∠x, ∠d is 5 times ∠x. Find ∠x. x

d c



(A) 22°

a b

(B) 24°

(C) 26°

(D) 28°

(C) 10

(D) None of these

26. The value of 96.54 − 89.63 ÷ 965.4 − 896.3 = ______. 96.54 + 89.63 9.654 + 8.963

(A) 10–2

(B) 10–1

27. A boy was asked to write the value of (2) 5 × (9)2. He wrote it as 2592. The difference between the

obtained value and the actual value is _____. (A) 0 (B) 2 × 92

1 2 28. The value of 1 + 2 (A) 1

1 of 2 1 of 2

1 2 is ______ . 1 2 1 (B) 1 3

(C) 22 × 93

(D) 23 × 94

(C) 2 2 3

(D) 3

29. If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is

subtracted from the number and then it is divided by 5? 1 2 (A) 9 (B) 10 (C) 10 5 3

(D) 11

1 5

30. In the figure (not drawn to scale), ABCD is a parallelogram, BFE is a right-angled triangle and GAD is a straight line. Find ∠x.

D

F

C

x 54° A



(A) 30°

(B) 31°

G

113°

E

B

(C) 32°

(D) 33°

31. Two numbers are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greater

number is ______. (A) 24

(B) 26

(C) 28

(D) 32

6

| 6th IMO | Level-II | Class 7

Amount of rainfall in cm

DIRECTION (32-33) : The given graph shows the amount of rainfall for each month from January to June. Study the graph and answer the following questions. 30 25 20 15 10 5 Jan

Feb

Apr

Mar

May

Jun

Months

32. In which two months is the amount of rainfall in the ratio 1 : 6? (A) June and February (B) June and January (C) February and May

(D) May and June

33. What is the amount of rainfall in July if it is 35% of the amount of rainfall in April? (A) 8 cm (B) 7 cm (C) 6 cm (D) 5 cm 2 34. What should be the least number of years in which the simple interest on ` 2600 at 6 % will be 3 an exact number of rupees? (A) 2 (B) 3 (C) 4 (D) 5 35. What is the total shaded area of the figure?

1 cm



(A) 47 sq. cm

(B) 48 sq. cm

(C) 49 sq. cm

1 cm

(D) 50 sq. cm

36. Three unbiased coins are tossed. What is the probability of getting at least 2 heads? 1 1 1 1 (A) (B) (C) (D) 4 2 3 8 37. A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise

per sq. metre is _____. (A) ` 254.50 (B) ` 258

(C) ` 262.50

38. The value of 12.1212 + 17.0005 – 9.1102 = ______. (A) 20.0015 (B) 20.0105 (C) 20.0115

(D) ` 270 (D) 20.1015

39. Which natural number is nearest to 8485, which is completely divisible by 75? (A) 8475 (B) 8500 (C) 8550 (D) 8525

7

6th IMO | Level-II | Class 7 |

40. Find the value of the expression 1152 + (–118) + (–32) – (–13) + (–56) – (–2183) – 5. (A) 1337 (B) 3137 (C) 3317 (D) 7131

Section-III : Everyday Mathematics 41. If 2 tables and 3 chairs costs ` 3500 and 3 tables and 2 chairs costs ` 4000, then how much does

a table cost? (A) ` 500

(B) ` 750

(C) ` 1000

(D) ` 1500

42. A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss (–1)

point, how many matches, in all, have they played if their score is 23? (A) 17 (B) 20 (C) 37

(D) 40

43. A team of 8 persons joins in a shooting competition. The best shooter scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the

team scored was _____. (A) 588 (B) 645

(C) 665

(D) 672

44. The ratio between the ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between

one-third age of Neelam and half of Shaan's age is 5 : 9, then what is the age of Shaan? (A) 25 years (B) 30 years (C) 36 years (D) Cannot be determined

45. Peter purchased a machine for ` 80,000 and spent ` 5000 on repairs and ` 1000 on transport and

sold it with 25% profit. At what price did he sell the machine? (A) ` 1,05,100 (B) ` 1,06,250 (C) ` 1,07,500

(D) ` 1,17,500

46. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the

same point. After what time will they meet again at the starting point? (A) 26 minutes 18 seconds (B) 42 minutes 36 seconds (C) 45 minutes (D) 46 minutes 12 seconds 1 1 of his capital at 7%; at 8% and the remainder at 10%. If his annual income 3 4 is ` 561, the capital is ______. (A) ` 5400 (B) ` 6000 (C) ` 6600 (D) ` 7200

47. A man invested

48. What will be the cost of gardening 1 metre broad boundary around a rectangular plot having

perimeter of 340 metres at the rate of ` 10 per square metre? (A) ` 1700 (B) ` 3400 (C) ` 3440

(D) Cannot be determined

49. A fruitseller sells mangoes at the rate of ` 9 per kg and thereby loses 20%. At what price per kg,

he should have sold them to make a profit of 5% ? (A) ` 11.81 (B) ` 12 (C) ` 12.25

3 2 1 of the students are girls and rest are boys. If of the girls and of the boys are 5 9 4 absent, what part of the total number of students is present? 17 18 23 23 (A) (B) (C) (D) 25 49 30 36

50. In a class,



(D) ` 12.31

7th

LEVEL - 2 Year 2013-14

2

7th IMO | Class-7 | Level 2

logical reasoning logical reasoning 1.

If O = 16, FOR = 42, then what is FRONT equal to?



A. B. C. D.

2.

A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's



A. B. C. D.

3.

Seven people – A, B, C, D, E, F and G – are standing in a single line, facing a booth. E is somewhere ahead of F. There is exactly one person standing between C and G. D is immediately behind A. F is behind both B and D. If D and C are fourth and fifth in line respectively, then which of the following must be true?



A. B. C. D.

4.

Rakesh's school bus is facing North when it reaches his school. After starting from Rakesh's house, it turns right twice and then left before reaching the school. What direction was the bus facing when it left the bus stop in front of Rakesh's house?

61 65 73 78

Son Uncle Nephew None of these

F A F B

is is is is

seventh first sixth first



A. B. C. D.

5.

In a school, the following codes were used during physical exercise. '1' means 'start walking', '2' means 'keep standing', '3' means 'start running at the same spot', '4' means 'sit down'. How many times will a student who performs the following sequence without error from the beginning to the end have to sit down?



A. B. C. D.

7.

Find the missing number in the given number pattern.



A. B. C. D.

8.

Select the figure from the options that will replace the question mark(?) to continue the series in Problem Figure.



A. B. C. D.

3 2 5 4

6.

How many pairs of alternate numbers have a difference of 3 in the given series? 6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6

68 27 19 58

A.

B.





C.

D.

9.

West East South North

1 2 3 4 2 3 1 4 4 3 2 2 1 2 4 3 1 4 4 1 2

Five Two Three Four







A square transparent sheet with a pattern is given. Select a figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

A.

B.





C.

D.







10. Count number of straight lines required to make given figure.

A. B. C. D.

14 13 11 12

3

7th IMO | Class-7 | Level 2

11. Unscramble the letters in the given words and find the odd one out.

A. B. C. D.

nrtiagle ubnmer getracnle irclce



2 6



B. D.

3 4

13. S e l e c t a n o p t i o n w h i c h w i l l m a k e u p t h e Figure (X).

A.

B.





C.

D.





D.



Which number lies at the bottom face in position X? A. C.

B.

C.

12. Three different positions X, Y and Z of a dice are shown in the figures given below. Answer the following question which is based upon these figures.



A.









16. Study the figure given below and answer the following question. What is the sum of the numbers which belong to one figure only?

A. B. C. D.

20 16 21 27

17. If ÷ means +, – means ÷, × means – and + means ×, (36 × 4) − 8 × 4 then =? 4 + 8 × 2 + 16 ÷ 1 A. 0 B. 8 C. 12 D. 16 18. There is a certain relationship between the figures (i) & (ii) and (iii) & (iv). Identify the relationship and find the figure from the options which will replace the question mark in figure (iv).



14. Select a figure from the options which will complete the pattern in Fig. (X).

A.

B.





C. A.

B.



C.

D.







15. Select a figure from the options which will continue the series established by the Problem Figures.

D.







19. Insert the missing character, if the same rule is followed in (i), (ii) and (iii).

A.

10



B.

15



C. D.

20 25

20. Count the number of cubes in the given solid.

A. B. C. D.

8 9 12 15



4

7th IMO | Class-7 | Level 2

Mathematical reasoning

21. The value of 1 +



A.

1 1+

1

1−

1 16

5 3 7 + 4 − 2 + 3 is ____. 2 8 8

1976 264

B.

16 11



C.

145 24



D.

294 31





Step 1 : Let the unit’s digit be x. Step 2 : Then, ten’s digit = (9 – x) \ number = 10 × (9 – x) + x ⇒ 90 – 10x + x = (90 – 9x) Step 3 : Adding 27 to the number 90 – 9x we get 117 – 9x Step 4 : Number with digits interchanged is 10x + (9 – x) = 9x + 9 Step 5 :127 – 9x = 9x + 9 Step 6 : Therefore unit’s digit = 6 and ten’s digit = 3 Step 7 : Hence the number = 36. A. Step 7 B. Step 5 C. Step 4 D. Step 3 and step 6

23. Which of the following shaded fraction represents



A. B. C. D.

` 125 ` 167.50 ` 150 None of these

26. PQRS is a rectangle. E and G is the mid-point of SR and PQ respectively, PF = FR. The ratio of total area of triangle PFQ and triangle FER to area of rectangle PQRS is ______.

22. A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Given below are the steps to find the number. Identify the wrong step.

25. A person borrows ` 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 1 6 % p.a. for 2 years. Find his gain in the transaction 4 per year.



A. B. C. D.

9: 4 3:8 5 : 8 None of these

27. The figure shows a trapezium PQRS whose lengths are in centimetres. If area of PQRS is 72 cm2 , find the value of x.

A. B. C. D.

2 4 6 8

28. The median of the given data is

98, 75, 96, 180, 270, 102, 94, 100, 610, 200, 75, 80 A. B. C. D.

100 98 97 99

 1   1   1  1   2  1 −  1 −  1 −  ....... 1 −   ?         2 3 4 10 

29. What percentage of numbers from 1 to 70 have squares that end in the digit 1?

A.



C.









B.



D.

24. Find x in the given figure.

A.

292°



B.

122°



C.

112°



D.

120°



A. B. C. D.

1% 14% 20% 21%

30. The circumference of two circles are 44 m and 88 m. Find the difference in the areas of the circles.

A. B. C. D.

142 642 462 426

m2 m2 m2 m2

5

7th IMO | Class-7 | Level 2

31. Simplify : 2p3 A. B. C. D.





+ 8p2 – 7p + 15 – 6p3 – 5p2 – 8p + 7 + 16p – 9 4p3 + p – 3p2 + 4 –4p3 – 3p2 – p + 13 –4p3 + 3p2 + p + 13 4p3 + 3p2 – p + 13

32. Match the columns.

(a)



(b)



(c)



A. B. C. D.

Column I (Solid)



(a) (a) (a) (a)

→ → → →



34. ln the figure (not drawn to scale), ABCD is a parallelogram with AB = BD = CD and ADEF is a trapezium with AD parallel to FE. Find the value of y and z respectively.

(i)





Column II (Top view)

What fraction of the total number of apples were rotten? A. 6/175 B. 4/175 C. 3/139 D. 2/171

(ii)

(iii)

(i); (b) → (iii); (c) → (ii) (ii); (b) → (iii); (c) → (i) (ii); (b) → (i); (c) → (iii) (iii); (b) → (i); (c) → (ii)

33. The bar graph shows the number of rotten apples in 7 boxes. There are 100 apples in each box.



A. B. C. D.

35. The given figure is formed by two identical circles in a rectangle. E and F are the centres of the circles. 22 Find the area of the shaded part (Take π = ). 7







86°, 45° 104°, 30° 112°, 15° 104°, 12°

A. B. C. D.

330 336 236 300

cm2 cm2 cm2 cm2

EVERYDAY MATHeMATICS 36. Rohan has just finished reading 204 pages of a storybook. He plans to finish reading the rest of the book in the next 7 days by reading the same number of pages each day. If he reads 35% of the book in the next 5 days, how many pages does the book have?

A. B. C. D.

300 400 500 600

37. There are some sweets in a jar. The sweets can be put into boxes of 3 or 7 with no sweets left over. When the sweets are put into boxes of 20, there are 5 sweets left over. What is the smallest possible number of sweets in the jar?



A.

48



B.

105



C.

112



D.

168

38. Niketan bought 8 shirts and 6 pairs of pants. Each shirt costs ` 126 and the 8 shirts cost twice as much as the 6 pairs of pants. How much did he pay for the 8 shirts and 6 pairs of pants ?

A.

` 1478



B.

` 2180



C.

` 840



D.

` 1512

6

7th IMO | Class-7 | Level 2

39. 0.6 of the pupils in a class like to play badminton. 1 of the remaining pupils like to play basketball, 6 2 pupils like soccer and 8 pupils like table tennis. How many pupils like to play badminton?



A. B. C. D.

10 18 30 40

A. B. C. D.

3.3 4.8 6.6 7.4 th

1 41. Sneh's age is   of her father's age. Sneh's father's 6 age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?

A.



B. C. D.

A.



B.



C. D.

58% 2 % 3 60% 78% 62

43. Rihana took a loan of ` 1200 with simple interest for as many years as the rate of interest. If she paid ` 432 as interest at the end of the loan period, what was the time?

40. The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment. The highest marks were 47 and the lowest were 14. The difference between the new maximum and the minimum internal assessment scores is _______.



2 years 3 24 years 30 years 5 years 6

42. 1100 girls and 700 boys are examined in a test; 42% of the girls and 30% of the boys failed. The percentage of the total who pass is ______.



A. B. C. D.

3.6 years 6 years 18 years Cannot be determined

44. A park, square in shape has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road?

A. B. C. D.

576 metres 600 metres 670 metres None of these

45. A card is drawn from a pack of 52 cards. The probability of getting a queen is ________.

A.



B.



C.



D.

1 13 6 13 1 26 1 52

Achievers section 46. Study the figure carefully.

Find : (a) the perimeter (b) the area a A. 329 m B. 329 m C. 156 m D. 166 m

b 547 297 740 740

47. In the given question below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

In how many years will a sum of money put at simple interest treble itself?



I.



The rate of interest is 12 1 % . 2 III. The sum doubles itself in 8 years at simple interest. A. Any one of the three B. Any two of the three C. I and II only D. II and III only

2

m m m2 m2



II.

The interest earned in 4 years is half the sum.

7

7th IMO | Class-7 | Level 2

48. Read the statements carefully and select the correct option. Statement-1 :

124 × 93 × 4 63 × 82 × 27

+

2 × 34 × 25 9 × 42

7

 x −1 y 2   x3 y − 5  Statement-2 : If  2 −4  ÷  −2 3  x y  x y 

then A. B. C. D.

= 198

A.

= x p ⋅ yq

p = 4 and q = 2 Statement-1 is true and statement 2 is false. Statement-1 and 2 are true . Statement-1 and 2 are false. Statement-1 is false and statement-2 is true.

=1

2 3

B.



C.



D.

=1 = 11 2

−5

49. Select the incorrect match of shaded fraction.



=1

3 5

50. Fill the blank. The value of the product of two ____________ fractions is __________ each of the two fractions.

A. B. C. D.

SPACE FOR ROUGH WORK

Improper, more than Proper, more than Improper, less than Proper, equal to

9th

LEVEL - 2 Year 2015-16

Mathematics 1.

Which of the following sign will replace * in 2 × 6 – 12 ÷ 4 * 2 = 5 * 6? A. + B. – C. × D. ÷

2.

Which of the following options hold? Statement - 1 : 24 is divisible by 4 and the factors of 4, i.e. 0, 1, 2, 4, 8 also divide 24.



Statement - 2 : If a number is divisible by another number, then it is divisible by each of the multiple of that number.



A. B. C. D.

3.

In the given figure, ∠AOB = 2∠BOC, ∠AOE = 3∠BOC, ∠EOD = 4∠BOC, ∠DOC = 5∠BOC. Find 2∠AOB + 3∠BOC.

Both Statement-1 and Statement-2 are true. Statement-1 is true and Statement- 2 is false. Statement-1 is false but Statement- 2 is true. Both statement-1 and Statement- 2 are false.



A. B. C. D.

4.

Find the value of the expression.



–1152 + (–118) – (–32) – (13) – (–56) – (–2183) + 5



A. B. C. D.

5.

The H.C.F. and L.C.M of 23 × 32 × 5 × 11, 24 × 34 × 52 × 7 and 25 × 33 × 53 × 72 × 11 respectively are _______.



A. B. C. D.

2

122° 124° 168° 180°

–993 –3137 993 389

23 25 23 25

× × × ×

32 34 32 34

× × × ×

5; 22 × 33 × 52 × 7 53, 23 × 33 × 53 × 72 × 11 5, 25 × 34 × 53 × 72 × 11 53 × 72 × 11, 23 × 53 × 72 × 11

6.

Which of the following number sentence is represented on the number line shown below?



A. B. C. D.

7.

What percentage of the given figure is shaded?



A. B. C. D.

8.

 96.54 − 89.63 965.4 − 896.3  The value of 10 −3 ×  ÷ = __ ____  96.54 + 89.63 9.654 + 8.963  is equal to ______.



A. B. C. D.

9.

In the given figure, ABCD is a parallelogram, BFE is a right-angled triangle and GAD is a straight line. Find x.



A. B. C. D.

– 2 + (– 3) = 1 1 + (– 2) = – 2 1 – (+ 2) = – 1 None of these

38% 60% 40% 50%

10–4 10–1 10 10–5

30° 31° 32° 33°

m + 2 p m + 2q 4 pq + = , then the value of 10. If m = m − 2 p m − 2q p+q _____.

A. B.

2 4



C.

2mpq ( p + q)



D.

None of these | 9th IMO | Class-7 | Level 2

11. The parking fee of a certain car park is as follows: For the 1st hour ` 2.50 For every additional half an hour or part ` 0.90 thereof

If Kartikay parks his car in the car park for 5 hrs 50 mins, how much must he pay?



A. B. C. D.

` ` ` `

8.75 9.90 11.50 17

12. Aman, Rahul, Raj and Nikhil each took the same spelling test. F Aman spelled 7/10 of the words correctly. F Rahul spelled 3/4 of the words correctly. F Raj spelled 4/5 of the words correctly. F Nikhil spelled 2/3 of the words correctly.

Who spelled the least number of words correctly and arrange their fraction in ascending order?



A.



B.



C.



D.

Aman, 7 < 3 < 4 < 2 10 4 5 3 3 2 4 7 Rahul, < < < 4 3 5 10 2 Raj, < 3 < 7 < 4 3 4 10 5 2 7 3 4 < < Nikhil, < 3 10 4 5

a+b+c 13. If a = b = c , then   c 3 4 7 A. 17 B. 16 1 C. 16 D. 2

4

is equal to ____ .

14. Latika has to type a 5-pages document. Each page contains an average of 840 words. How long will she take to type the whole document if she types at the rate of 30 words per minute? 1 A. 1 hrs 12 1 B. 2 hrs 3 1 C. 1 hrs 2

D.

3 2 hrs 4

15. Find the value of 2 x − 9 . 5 A. 92 B. 22 C. 112 D. 43

9th IMO | Class-7 | Level 2 |

16. If RS || PQ and RT || UQ, then find the value of 8x – 2y.



A. B. C. D.

660 30 650 100

17. A b o y m u l t i p l i e d 9 8 7 b y a n i n t e g e r a n d obtained 559981 as his answer. If in the answer both 9’s are wrong and the other digits are correct, then the correct answer would be ______.

A. B. C. D.

553681 555181 555681 556581

 3 1 ÷ 1 1 of 5 1  2 2 3  2 is _______ . 18. The value of of   2  2 1 + 1 1 of 3 1  2 2 2 A. 56 99 56 B. 1023 28 C. 341 D. 182 31 19. Find the sum of ∠ a, ∠ b, ∠ c and ∠ d.



A. B. C. D.

280° 290° 360° 240°

20. Read the below statement carefully and complete it by selecting the correct option. Parth purchased a machine for ` 80,000 and spent ` 5000 on repairs and ` 1000 on transport and sold at ` 1,07,500. He earns _______ on this transaction.

A. B. C. D.

Profit Profit Profit Profit

of of of of

` ` ` `

32000 25900 21500 19500 3

21. Shalini borrowed ` 800 which amounts to ` 1164 in 1 3 yrs. What would be the amount in 5 1 yrs? 2 2 A. ` 1800 B. ` 364 C. ` 1372 D. ` 850 22. Two numbers are in the ratio 5 : 3. If 10 is subtracted from both the numbers, their ratio changes to 5 : 7. The sum of numbers initially was ______. A. 8 B. 15 C. 13 D. 12 23. Anshu started a business investing ` 2,25,000. After 6 months Divya joined her with ` 3,25,000. Out of a annual total profit of ` 19995, Divya's share is _____ .

A. B. C. D.

` 15400 ` 17200 ` 19600 None of these

28. A boy was asked to write the value of (3)5 × (9)2 . He wrote it as 3592. The difference between the obtained value and the actual value is _____.

A. B. C. D.

29. The value of 4 x − 3 , if 2 ______.

A.



B.



C.



D.

A. B. C. D.

48 24 56 72

paise paise paise paise

25. In the given figure, ABF is a straight line. If AB = AC, then ∠ACB – ∠DBF is _____.

() () () 8 5

3

×

8 5

−6

=

5 8

1− 2 x

is

0 5 2 −1 5 −7 2

30. The given figure shows a triangle and a circle enclosed in a square. Find the area of the shaded parts. (Take p = 3.14)

24. If three quarters kg of sugar costs 90 paise, then how many paise will 200 gm cost?

0 16091 3592 4560

32 cm



A. B. C. D.

16 cm

200.96 cm2 712.96 cm2 512 cm2 818.42 cm2

31. Which of the following is correct with respect to shaded part of a figure?

A. B. C. D.

30° 20° 10° 15°

26. If books bought at price ranging from ` 200 to ` 350 are sold at price ranging from ` 300 to ` 425, what is the greatest possible profit that might be made in selling eight books ?

A. B. C. D.

` ` ` `

400 600 1800 2000



A.



B.

=

4 9



C.

=

5 10



D.

=

7 10

=

3 12

27. Which of the following is true for the value of 4xy(x – y) – 6x2 (y – y 2) – 3y 2 (2x2 – x) + 2xy(x – y).

A. B. C. D. 4

–195 for x = 0 & y = 1 2535 for x = 1 & y = 0 –2535 for x = 5 & y = 13 7605 for x = 13 & y = 5

| 9th IMO | Class-7 | Level 2

32. A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet ? (Take p = 3.14)

A. B. C. D.

78.5 cm2 23.44 cm2 87.92 cm2 26.54 cm2

33. The average cost of a shirt, skirt, blouse and a pair of pants is ` 73.50. If the average cost of the shirt, skirt and blouse is ` 72, find the cost of the pair of pants.

A. B. C. D.

` ` ` `

294 216 78 511

34. Mohit spent 45% of his salary on a laptop. If Mohit had ` 1980 left from his salary after buying the laptop, how much was his salary?

A. B. C. D.

` ` ` `

38. The given table shows the charges for parking a car in a mall. Time

Cost

8 a.m. - 5 p.m.

80 paise per half an hour

After 5 p.m.

` 2.15



Priya parked her car from 11.30 a.m. to 6.15 p.m. If she gave a ` 100 note to pay parking charges, then how much did she get back after payment?



A. B. C. D.

` ` ` `

80.30 80.95 85.85 89.05

39. In the given figure (not drawn to scale), ADE is an isosceles triangle, BCA is a right-angled triangle, FBA and ACD are equilateral triangles. If ∠ADE = 45° and ∠ABC = 52°, then find x.

2420 3069 2871 3600

35. Find the range, mean, median and mode respectively of the given data :

75, 200, 98, 75, 100, 98, 75, 96, 180, 270, 102, 94, 100, 610, 200, 75, 80



A. B. C. D.

355, 160, 100, 100 535, 148.70, 98, 75 535, 132.2, 97, 200 5, 150.29, 99, 75

36. Two unbiased dice are tossed. What is the probability of getting a product divisible by 3?

A.



B.



C.



D.

11 36 7 18 5 9 15 36

37. Find the probability of drawing a face card from a deck of 52 cards.

A.



B.



C.



D.

1 2 3 13 2 3 1 4

9th IMO | Class-7 | Level 2 |



A. B. C. D.

38° 40° 60° 44°

40. If one angle is the average of the other two angles and the difference between the greatest and least angles is 60°, then the angles of the triangle are in the ratio_____ .

A. B. C. D.

1 1 1 5

: : : :

2 4 2 7

: : : :

3 13 5 11

41. If 6(3x + 2) –5(6x – 1) – 12x = 6(x – 3) –5(7x – 6), 2x − 3 . then find the value of 4x − 3 A. 2/7 B. –1 C. 5/7 D. –5/7 42. If 20% of b = a, then a% of 20 is the same as _____.

A. B. C. D.

4% of b 5% of b 20% of b None of these 5

43. Naman bake cakes in a microwave. The microwave takes 10 minutes to warm up before the first tray of cake is baked. Each cake takes 20 minutes to bake. Which of the following tables show the relationship between the number of cakes Naman bakes and the total microwave time?

A.



B.



C.



D.

44. If p : every fraction is a rational number and q : every rational number is a fraction, then which of the following options hold?

A. B. C. D.

p is true and q is false. p is false and q is true. Both p and q are true. Both p and q are false.

45. A cricket team won 3 matches more than they lost. If a team win gives them 2 points and loss (–1) point, how many matches, in all, they have played if their score is 23?

A. B. C. D.

17 20 37 40

Achievers section 46. Which of the following shaded fraction represents   1 1 1 4  1 −  1 −  1 −  ....... 1 − 1   ?  10    2   3   4 

A.



B.



D.

47. PQRS is a rectangle. E, F and G are the mid points of SR, PR and PQ respectively. The ratio of area (PSEF) to area of rectangle PQRS is ______.



A. C. 6



What is the principal sum?



I.

The sum amounts to ` 690 in 3 years at S.I.



II.

The sum amounts to ` 750 in 5 years at S.I.



III. The rate of interest is 5% p.a.

C.



48. Given below a question is followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

9:4 5 : 8

B. D.

3:8 None of these



A. B.

Only I and III Only II and III



C. D.

Only I and II Any two of the three

3 2 ) − (2 1 ) ( 3 2 49. Find the value of (4 34 ) − (3 13 )

A.

37 97



B.

74 97



C.

1



D.

None of these

2

2

2

2

32−21 2 . ÷ 3 3 1 4 −3 4 3

23 74

| 9th IMO | Class-7 | Level 2

50. A scientist is comparing the weights of the four molecules listed in the given table.

Which one of these molecules is the lightest?



A. B. C. D.

Salt Pure water Hydrochloric acid Potassium hydroxide

SPACE FOR ROUGH WORK

9th IMO | Class-7 | Level 2 |

7

10th

LEVEL - 2 Year 2016-17

MATHEMATICS 1.

Find the value of (P + Q) + (S – P) – R.

A. –2.5



A. 1 and 3 only



B.

2 only



C.

4 only



D. 6 only

5.

In the given figure (not drawn to scale), PQRS is a rhombus, RST and PSV are isosceles triangles, STUV is a square and QRT is a straight line. Find ∠PSR + ∠SPV.

B. 2.2 C. –0.8 D. 1.4 2.

Which of the following rational numbers do not lie 4 11 ? between and 33 25

2 A. 25 14 B. 33

A. 72°

4 C. 13

C. 108°

B. 54° D. 36°

7 D. 25 3.

B. 4 C. 2 D. 5 27 x + 5 = 6 x + 5 following steps are involved. 3 Which of the following step(s) is incorrect ? To solve

Step 1 : 27x + 5 = 3(6x + 5) Step 2 : 27x + 5 = 3 × 6x + 5 Step 3 : 27x + 5 = 18x + 15 Step 4 : 27x – 18x = 15 – 5 Step 5 : 9x = 10 Step 6 : x = 2

In the given figure, state whether the triangles are congruent, if yes find the correct order of vertices.



A.

Yes, DPQR @ DSRT 



B.

No, they are not congruent



C.

Yes, DRST @ DRPQ



D.

Yes, DSTR @ DRPQ

7.

A bottle is

How many more triangles in the given figure must be shaded to make the fraction of unshaded part equal 5 to ? 8

A. 3

4.

6.

10 9

3 full of soft drink. The drink in the bottle 4 can fill 6 glasses. If the drink in the bottle is poured out to fill 4 glasses, find the fraction of drink left in the bottle.

1 A. 4 1 B. 3 1 C. 6 1 D. 2 | 10th IMO | Class-7 | Level 2

8.

The average of 5 numbers is 6x. If four of them are x, 7, 6, 4, then find the fifth number. Give your answer in terms of x.

17 + x A. 5

B.

A. ` 6000 B. ` 6500 C. ` 7500

29x – 17

D. ` 5500

C. 6x – 17 D. 5x – 17 9.

13. Sam sold a guitar at a profit percentage of 25%. If he earns the profit of ` 1500, then what was the selling price of the guitar?

The given figure shows a circle, centred at O, enclosed in a square. Find the total area of shaded parts.

14. If the hypotenuse of a right angled triangle is 5th multiple of remainder of (2379 ÷ 4) and one of its sides is the highest common factor of 18 and 27, then what is the length of the other side (in cm)? A. 12 B. 15 C. 18 D. 10



A. 121 cm2



B.

2

145 cm



C.

130 cm2



D. 119 cm2

15. The ages of 9 students are given as 18, 27, 18, 18, 19, 26, 26, 19 and 36. Find the mean, mode and median respectively.

37 1 = 2+ 10. If , then (b + c) (11a –13) 1 13 a+ b+c is equal to



A.

20, 18, 18



B.

23, 18, 19



C.

23, 18, 18



D.

19, 19, 18

16. A cube is rolled, if the numbers –1, –2, 0,1, –2, 3 are written on the faces of cube, then

A. –11 B. 5 C. 11



(i)

D. –4



(ii) Find the probability of getting 3.

11. A long metallic wire of length x 2y + 5xy + 6xy 2 is bent in the form of a triangle. If the two sides are 3xy + 4x 2y and 2x 2y + 2xy, then find the length of third side.

A.

6x2y + 5xy

B. 4xy2 – 3x2y C. 6xy – 5x y 2

2

D. 4x2y – 3xy2 + 5xy 12. In a zoo, the ratio of the deers and elephants was 3 : 4. When two new deers are added to the group, the ratio of the deers to the elephants becomes 4 : 5. How many deers and elephants respectively are there in the zoo now?

A.

32, 40



B.

30, 40



C.

30, 42



D.

32, 42

10th IMO | Class-7 | Level 2 |

Find the probability of getting –2.

(i)

(ii)

A. 1/6

1/3

B. 1/3

1/6

C. –2/6

3/6

D. –4/6

3/6

11  −1  17. Subtract   from and add the result in addition  9  12 5 1 of  and  . 8 2 1 A. 8 113 B. 72 9 C. 113 263 D. 72 3

18. When two parallel lines are cut by a transversal, which pair of angles will always be supplementary?

A. Corresponding angles



B.

Alternate angles



C.

Vertically opposite angles



D. Interior angles on the same side of the transversal

B. C.

19. Garima bakes a cake, she uses 250 g brown sugar in 1 kg of flour. Find the ratio of

(i)

Sugar to flour



(ii) Flour to sugar



(iii) Sugar to the amount of sugar and flour together (i) (ii) (iii)

D.

23. The teacher tells the class that the highest marks obtained by a student in her class is four times the lowest marks plus 5. The highest marks is absolute value of (–6 × 13), find the lowest marks. A. 18.25



A. 4 : 1

1 : 4

1:5

B. 40



B. 3 : 2

3 : 2

2:5

C. 36.5



C. 2 : 3

3 : 2

2:5

D. 25



D. 1 : 4

4 : 1

1:5

24. In a school, 10x 2 + 3xy + y 2 , 2x 2 + 9x + 2yx and 7x 3 + 8xy + 2y 3 students are enrolled for NCO, NSO and IMO respectively. Find the total number of students enrolled for all the three exams when x = 2 and y = 3.

20. Find the value of P, Q and R.

A. 321 B. 263 C. 261 D. 250 P

Q

a c and , if ad > bc, then b d _____ and if ad < bc, then ______.

R

25. In two rational numbers

A. 4 5 1 B. 5 8 1

a c a c A. < and < b d b d

C. 7 2 6 D. 8 2 4  1  1 1 1 1 21. Solve :  3 ÷ 1 −  2 − −  4  4 2 2 4

1     6  

A. 78

a c a c B. > and < b d b d a c a c C. > and > b d b d

B. 100



C. 128

26. Two towers 18 m and 28 m high stand upright on a ground. If their feet is 24 m apart, then the distance between their tops is _______.

D. 26 2x + 7 2x + 3 , then find the value of x and correct = 3 2 representation on the number line.

22. If

A.

4



D. None of these



A. 26 m



B.

24 m



C.

8m



D. 18 m | 10th IMO | Class-7 | Level 2

27. Select the correct option.

32. If the average of first 50 natural numbers is 25.5, then sum of numbers is _______.



A. Orthocentre is the point of intersection of the perpendicular bisectors of the sides of a triangle.



B. Incentre is the point at which the three angle bisectors of a triangle meet.

B. 2550



C. Circumcentre is the point at which the medians of triangle meet.

D. 1470



D. Centroid is the point at which the altitudes of a triangle meet.

A. 1275 C. 1500

(Direction 33-35) : Study the given graph and answer the following questions.

28. The number of diagonals drawn from one vertex of a polygon of 17 sides is _______. A. 16 B. 15 C. 14 D. 17 4

 32   16  29. If  ×   243   81 

x+2

16

4 =  9

, then find the value

2

 x2 + x + 1  of  .  x 2 + x − 1  9 A. 4 3 B. 2 C. 9 1 D. 3 30. If two third of a number, half of the same number and one seventh of the same number and the number itself are added, the result is 3 less than 4th multiple of 10. The number is _______. 2 97 2 B. 16 97 2 C. 18 97 2 D. 17 97

A. 14

31. In ______ the incentre of triangle coincides with its circumcentre, orthocentre and centroid.

A. A right angled triangle



B.

An isosceles triangle



C.

An equilateral triangle



D. A scalene triangle

10th IMO | Class-7 | Level 2 |

33. What fraction of students like Science to the students like English? 3 A. 5 2 B. 1 5 5 C. 3 2 D. 5 34. Ratio of students who like Social Science and Hindi together to the students who like English, Mathematics and Science together is _______.

A. 25 : 34



B.

33 : 22



C.

5:3



D. 3 : 5

35. What percent of students like Hindi?

A.

18.64%



B.

19.35%



C.

10.50%



D.

20.12% 5

36. 35% of the total population of a town are men and 25% are children. If 7,00,000 are men, then what is the total population of the town?

A. 1683



A.

20,00,000

D. 1263



B.

25,00,000



C.

11,00,000



D.

2,00,000

37. In the given figure (not drawn to scale), ABCD is a rhombus, FHI is an equilateral triangle and CEFG is a trapezium with EC parallel to FG. DCFI, BCG and GFH are straight lines. Find ∠CGF and ∠ECF.

B. 423 C. 1983

41. In a two digit number, ten's digit is twice the unit digit. The number formed by interchanging the digits is 27 less than the original number. The original number is ______. A. 36 B. 63 C. 84 D. 42 42. In a DABC, which of the following conditions holds? A. AB – BC > CA B. AB + BC < CA C. AB – BC < CA



A.

100°, 46°



B.

48°, 60°



C.

48°, 58°



D.

72°, 120°

38. The value of x such that 2x + 3 = [(–4) × (–9) × (–25)] × [(–8) × (–1) × (–2) × (–5) × (0)] is _____. A. 0 −3 B. 2 2 C. 3 3 D. 2 39. The price of an object A is ` 100 less than 6 times the price of an object B. A similar set of one object A and 4 object B is priced at ` 1400. Find the price of object A. A. ` 750 B. ` 600 C. ` 850 D. ` 800 40. Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder. 6

D. AB + CA < BC 43. The marked price of an article is 12% higher than cost price. A discount of 10% is given on the marked price. In this kind of sales, the seller _______.

A. Loses



B.

Bears no gain, no loss



C.

Gains



D. Data inadequate 1

 x a  ab 44.  b  x 

1

 x b  bc  c  x

1

 x c  ca  a  = _______ . x

A. 1 1 B. abc x 1 C. ab + bc + ca x ab D. ab + bc x 45. Solve : 999 1 + 999 2 + 999 3 + 999 4 + 999 5 + 999 6 7 7 7 7 7 7 A. 5997 B. 5994 C. 5979 D. 2997 | 10th IMO | Class-7 | Level 2

ACHIEVERS SECTION Statement-1 : Mode is most frequently occurring value in a given data. It is always less than the median of the data.

46. In the given figure (not drawn to scale), PQRS is a square with QT = QU. If SR = (7x – 6) cm and SP = (2x + 9)cm, then find

Statement-2 : Median of the data (1, 2, 2, 3, 2, 3, 4, 2, 3, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3) is less than the mode.

The value of x



(i)



(ii) Area of DTRQ

(iii) ∠QTU and ∠UTR

A. Statement-1 is true and Statement-2 is false.



B.

Statement-1 is false and Statement-2 is true.



C.

Both Statement-1 and Statement-2 are false.



D. Both Statement-1 and Statement-2 are true.

49. Find the values of P, Q, R and S.

(i)



(ii) 56.25 cm2

A. 3

2

(iii) 60°, 30°



B.

3

56.25 cm

67.5°, 22.5°



C.

5

65.75 cm2

67.5°, 25.5°



D. 5

65.75 cm2

80°, 20°

Principal

Rate p.a.

Time

Simple Interest

Amount

` 6000

P

4 years

Q

` 7200

R

12%

3 years 4 months

S

` 17584

P

Q

R

S

47. Match the following:



A.

5%

` 1000

` 15,024

` 4250

Expression

Value of x



B.

5%

` 1200

` 12,560

` 5024

5 9 x × 35 × ( 27)3 (P) 2 = 27 (i) 4 3 (3) × (81)



C.

4%

` 1800

` 12,560

` 5024



D.

4%

` 1100

` 14,231

` 4250



(Q) 25(x + 3) = (5)3x – 5

9 (R)   4

2x

50. Find the value of x + y in the given figures.

(ii) 11

6  256  2 7 ÷ = 10 (iii)   81  3 2

(S) 2x = (32)1/3

(iv)

−7 2

A. P → (ii) ; Q → (i) ; (R) → (iv) ; (S) → (iii) B. P → (i) ; Q → (ii) ; (R) → (iii) ; (S) → (iv) C. P → (iv) ; Q → (iii) ; (R) → (ii) ; (S) → (i)

(a)

(b)

D. P → (iii) ; Q → (ii) ; (R) → (iv) ; (S) → (i)

A. 128°

114°

B. 130°

90°

C. 80°

66°

D. 114°

128°

48. Read the statements carefully and select the correct option.

SPACE FOR ROUGH WORK

10th IMO | Class-7 | Level 2 |

7

ANSWER KEYS 5th IMO 1. (B) 8. (A) 15. (C) 22. (C) 29. (B) 36. (D) 43. (C) 50. (C)

2. (A) 9. (C) 16. (A) 23. (B) 30. (C) 37. (B) 44. (C)

3. (C) 4. (D) 5. (D) 6. (D) 7. 10. (B) 11. (A) 12. (D) 13. (C) 14. 17. (C) 18. (D) 19. (D) 20. (D) 21. 24. (A) 25. (A) 26. (C) 27. (B) 28. 31. (C) 32. (B) 33. (D) 34. (A) 35. 38. (B) 39. (A) 40. (C) 41. (B) 42. 45. (C) 46. (D) 47. (C) 48. (B) 49.

(A) (B) (D) (C) (A) (D) (B)

6th IMO 1. (D) 8. (B) 15. (A) 22. (C) 29. (B) 36. (B) 43. (C) 50. (C)

2. (B) 9. (B) 16. (B) 23. (C) 30. (B) 37. (B) 44. (D)

3. (C) 4. (D) 5. (A) 6. (D) 7. 10. (B) 11. (D) 12. (C) 13. (B) 14. 17. (A) 18. (A) 19. (D) 20. (B) 21. 24. (D) 25. (B) 26. (A) 27. (A) 28. 31. (C) 32. (B) 33. (B) 34. (B) 35. 38. (C) 39. (A) 40. (B) 41. (C) 42. 45. (C) 46. (D) 47. (C) 48. (C) 49.

(C) (A) (B) (C) (B) (C) (A)

7th IMO 1. (D) 2. (D) 8. (A) 9. (C) 15. (D) 16. (A) 22. (B) 23. (B) 29. (C) 30. (C) 36. (B) 37. (B) 43. (B) 44. (A) 50. (A)

3. (C) 4. (A) 5. (D) 6. (A) 7. 10. (B) 11. (B) 12. (B) 13. (A) 14. 17. (A) 18. (A) 19. (C) 20. (D) 21. 24. (C) 25. (D) 26. (B) 27. (A) 28. 31. (C) 32. (A) 33. (A) 34. (B) 35. 38. (D) 39. (B) 40. (C) 41. (D) 42. 45. (A) 46. (C) 47. (A) 48. (B) 49.

(D) (C) (D) (D) (B) (B) (D)

8th IMO-Level 2 was an online exam. Hence, paper cannot be included in the booklet.

9th IMO 1. 2. 3. 4. 5. 6. 7. 8.

(A) (D) (C) (C) (C) (D) (C) (D)

9. (B) 10. (A) 11. (C) 12. (D) 13. (B) 14. (B) 15. (D) 16. (A)

17. (C) 25. (D) 33. (C) 41. (C) 49. (B) 18. (C) 26. (C) 34. (D) 42. (A) 50. (A) 19. (B) 27. (C) 35. (B) 43. (C) 20. (C) 28. (B) 36. (C) 44. (A) 21. (C) 29. (D) 37. (B) 45. (C) 22. (A) 30. (B) 38. (D) 46. (D) 23. (D) 31. (A) 39. (C) 47. (B) 24. (B) 32. (B) 40. (A) 48. (D)

10th IMO 1. (C) 2. (A) 3. (A) 4. (B) 5. (A) 6. (D) 7. 8. (B) 9. (D) 10. (A) 11. (C) 12. (A) 13. (C) 14. 15. (B) 16. (B) 17. (D) 18. (D) 19. (D) 20. (B) 21. 22. (A) 23. (A) 24. (B) 25. (B) 26. (A) 27. (B) 28. 29. (C) 30. (B) 31. (C) 32. (A) 33. (A) 34. (A) 35. 36. (A) 37. (B) 38. (B) 39. (D) 40. (A) 41. (B) 42. 43. (C) 44. (A) 45. (A) 46. (B) 47. (D) 48. (C) 49. 50. (A)

(A) (A) (A) (C) (A) (C) (B)