Class 4 Imo 3 Year e Book Level 2 13

Level 2

SOLVED PAPERS 3 years (2012 -2014)

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FOUNDATION COURSE For Classes 8, 9 & 10 Class 8

Class 9

Class 10

IMPORTANT INSTRUCTIONS Changes in the Mode and Pattern in SOF Level 2 Exams for year 2014- 2015 Exam Date : 7th and 8th February 2015. Kindly coordinate with your school coordinator for exact date and center for exam. Write to [email protected] for any query related to it. Mode of exam : NCO/ NSO/ IMO Level 2 for the academic year 2014-15 will be an Online Test Pattern of the exams : National Cyber Olympiad Class 3 to 4

5 to 12

Section

No. of Questions Marks per Question

Computers & IT Achievers Section Grand Total Computers & IT Achievers Section Grand Total

30 5 35 45 5 50

1 2 1 3

Total Marks 30 10 40 45 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

5th

LEVEL - 2 Year 2011-12

2

| 5th IMO | Level-II | Class 4

Section I : Logical Reasoning 1. Some letters are given which are numbered 1, 2, 3, 4 and 5. Find the combination of numbers so that letters arranged accordingly form a meaningful word. D L R O W 1 2 3 4 5 (A) 5, 4, 3, 2, 1 (B) 1, 5, 4, 3, 2 (C) 2, 5, 4, 3, 1 (D) 2, 5, 3, 4, 1 2. Find a figure from the given options which completes Fig. (X ).

(A) (C)

(B) (D)

3. Which one of the options is same as Fig. (X )?

(A)

(B)

(C)

(D)

4. Which number will replace the question mark in the given series?

(A) 41

9, 11, 20, 31, ? , 82 (B) 51 (C) 71

(D) 60

5. Which one of the following words cannot be made from the letters of the given word?

(A) NECTAR

'CARPENTER' (B) CARPET (C) PAINTER SPACE FOR ROUGH WORK

(D) REPENT

3

5th IMO | Level-II | Class 4 |

6. If the code of BAND is 2465 and the code of PAST is 1489, what will be the code

of PANT? (A) 1468

(B) 1469

(C) 1465

(D) 1466

7. How many unit cubes are needed to build the given solid?

(A) 34

(B) 36

(C) 32

(D) 28

8. Akshat was facing the mall in the beginning.

3 1 turn anticlockwise and then turn 4 2 clockwise. What is he facing now?

(A) Park

(B) Police post

(C) School

(D) Community centre

He took

9. Study the diagram carefully. Which numbers are represented by (a) and (b)?

(A) a = 2, b = 4

(B) a = 3, b = 6

(C) a = 4, b = 6

(D) a = 4, b = 8

10. Richa remembers that her father's birthday was after 16 th but before 21st April, while her brother Rohit remembers that his father's birthday was after 19 th but before 22nd April. On what date does their father's birthday fall ?

(A) 19th April

(B) 21st April

(C) 20th April

SPACE FOR ROUGH WORK

(D) None of these


4

Section II : mathematical Reasoning 11. Find the difference between horizontal and vertical lines

in the given figure. (A) 1

(B) 2

(C) 3

(D) 4

12. If QRST and TUVX are rectangles and PQXW is a square,

then the perimeter of the given figure is _____.

(A) 87 cm

(B) 92 cm

(C) 88 cm

(D) 90 cm 5 of the shapes shown are to be shaded, how many more shapes need to be 9 shaded?

13. If

(A) 3

(B) 5

(C) 4

(D) 6

14. In the given sum the same number is missing from each box. What is the

number? (A) 4 (B) 5 (C) 6 (D) 7 SPACE FOR ROUGH WORK

5


Direction (Q.No. 15-16) : The given graph shows the weight of 5 children.

15. What is the difference in weights of the heaviest child and the lightest child?

(A) 20 kg

(B) 15 kg

(C) 5 kg

(D) 10 kg

16. If Naina's weight increases by 5 kg, then what is the total weight of the five children?

(A) 135 kg

(B) 140 kg

(C) 145 kg

(D) 155 kg

17. The difference between (seven thousands, five hundreds and five ones) and (five thousands and fifty-seven ones) is ____________ .

(A) 2448

(B) 2484

(C) 2844

(D) 2848

18. Which one of the following is not a factor of 96?

(A) 3

(B) 4

(C) 6

19. If

(A) 1225

(D) 7 find the value of

(B) 1255

(C) 1525 SPACE FOR ROUGH WORK

(D) 1552

.

6


20. Which of the following is equal to 14800? (A) 10000 + 400 + 8 (B) 12000 + 1800 (C) 10000 + 400 + 80 (D) 11000 + 3000 + 800 21. The sum of 3098 and 1427 is ______ less than the sum of 5420 and 2018. (A) 2139 (B) 2319 (C) 2913 (D) 2931 22. In the figure given below, how many seconds have passed?

(A) 12 seconds

(B) 25 seconds

(C) 27 seconds

(D) 33 seconds

23. Megha will be 53 years old in 2019. What was her age in 1998?

(A) 32 years

(B) 34 years

(C) 72 years

(D) 74 years

24. Find the difference between the largest and the smallest 5-digit odd numbers formed by using the digits 7, 4, 9, 2 and 6.

(A) 77148

(B) 71748

(C) 72963

25. A piece of paper is torn. In which column would the

number 201 appear?

(A) 1st

(B) 2nd

(C) 3rd

(D) 4th SPACE FOR ROUGH WORK

(D) 72748

7


Section III : everyday mathematics 26. Minnie had some stamps. After giving 214 stamps to Kanika, they had the same number of stamps. If Kanika had 326 stamps at first, how many stamps did Minnie have at first?

(A) 530

(B) 574

(C) 754

(D) 745

27. Niharika sold 842 apples on Monday. This was 92 less than the number of mangoes sold by her on the same day. On Tuesday, she sold half of all the fruits sold on Monday. How many fruits did she sell in the two days?

(A) 8324

(B) 2388

(C) 1893

(D) 2664

28. Ridhi works 6 hours 30 minutes each day. How long will she work in 5 days?

(A) 28 hours 30 minutes

(B) 30 hours 30 minutes

(C) 32 hours 30 minutes

(D) 34 hours 30 minutes

29. A small town has a population of 98776. 2345 people left the town and 5789 people arrived. How many people are there in the town now?

(A) 96431

(B) 118210

(C) 102220

(D) 191240

30. Anusha bought 1090 stickers. She gave 10 stickers to her friend and gave the rest equally to students who obtained distinction in a Mathematics test. If each student received 9 stickers, how many students obtained distinction in the test?

(A) 120

(B) 180

(C) 60

(D) 210

31. If a factory produces 869 toys each day, how many toys does it produce in 3 weeks?

(A) 6083

(B) 18249

(C) 2607


(D) 18429


8

32. Anjali bought one dress, one shirt and one T-shirt. The T-shirt costs ` 150. The shirt costs ` 250 more than the T-shirt. The dress costs twice as much as the

T-shirt. How much did she spend on the three items? (A) ` 950 (B) ` 1050 (C) ` 750

(D) ` 850

33. There were a number of children in a hall. The teacher could divide the children equally without any leftovers in groups of either 5 or 9. Which of the following

could be the number of children in the hall ? (A) 135 (B) 243 (C) 125

(D) 215

2 3 in the morning and drank of the 8 5 remainder in the evening. What fraction of the original amount of milk did he have

34. Mayank had a bottle of milk. He drank

left? 2 (A) 5

(B)

3 10

(C)

3 20

(D)

3 5

35. There are 345 red balloons and 335 yellow balloons. Amit mixes them together

and divides them into groups of 8. How many groups of balloons are there? (A) 55 (B) 77 (C) 85 (D) 75 SPACE FOR ROUGH WORK

6th


2


Section-I : Logical Reasoning 1. Find out which of the letter series follows the given rule.

"Number of letters skipped in between adjacent letters in the series is two" (A) MPSVYBE (B) QSVYZCF (C) SVZCGJN (D) ZCGKMPR

2. Find the missing number if both the figures follow same pattern. 14365 5876

23512 3243

11732 (B) 15984

(A) 18704

7584 (C) 17504

3875 ?

(D) 19803

3. Choose the correct mirror-image of the Fig. (X), if the mirror is placed vertically to the right.

Fig. (X)

(A)

(B)

(C)

(D)

4. The positions of how many digits in the number 321465987 will remain same when

the digits are arranged in ascending order? (A) None (B) One (C) Two

(D) Three

5. If in a certain code, O is written as E, A as C, M as I, S as O, N as P, E as M,

I as A, P as N and C as S, then how will 'COMPANIES' be written in that code? (A) SMINCPAMO (B) SEIACPAMO (C) SEINCPAMO (D) SEINCPMIO SPACE FOR ROUGH WORK

3


6. Identify the symmetrical figure corresponding to the half symmetrical figure as shown below.

(A)

(B)

(C)

(D)

7. Garima's result slip for the mid-year examination is torn. What is her highest possible mark for Mathematics? XYZ School Result Slip for Mid-Year Examination Name : Garima

(A) 96

English

8

Mathematics

9

Science

79

Total

256

(B) 97

(C) 98

(D) 99

8. Which figure is embedded in Fig. (X)?

Fig. (X)

(A)

(B)

(C)


(D)

4


9. Meera is at position A facing D. She walks forward and makes a 90° turn to the right. She walks on the next position where she makes another 90° turn to the right to reach the next and final position. What is her final position? D C B F

A I

(A) E

G

(B) B

E H (C) G

(D) F

10. What is the minimum number of different colours required to paint the given figure such that no two adjacent regions have the same colour in the given diagram?

(A) 3

(B) 4

(C) 5

(D) 6

section-II : mathematical reasoning 11. Use the working backward strategy to find the values of P, Q and R. P

(A) 300, 1800, 450

×6

Q

(B) 200, 1200, 300

÷4

R

– 130

(C) 290, 1300, 690

170 (D) 250, 1500, 375

12. How many numbers between 50 and 100 are multiples of 6? (A) 7 (B) 8 (C) 9 (D) 10 13. How many

(A) 28

1 1 are there in 3 ? 2 8 (B) 26

(C) 30


(D) 22

5


14. I am a number between 50 and 80. If you divide me by 4, 5 or 6, I will leave a

remainder of 3. What number am I? (A) 65 (B) 63

(C) 72

(D) 61

15. A number that is less than 100 is a common multiple of 6 and 8, and a factor of

120. The difference between its digits is ______. (A) 2 (B) 4 (C) 6

(D) 8

16. The graph shows the number of people who signed up for different types of games during the Family Fun Day. Study the graph carefully and answer the question.

In which game is there twice as many adults as children participating? (A) Volleyball (B) Basketball (C) Table tennis (D) Badminton 17. G is a factor of 48 but not a multiple of 4. If G is larger than 5, find G. (A) 24 (B) 12 (C) 6 (D) 8 18. What fraction of the figure is unshaded?

(A)

7 20

(B)

13 20

(C)

11 20


(D)

9 20

6


19. The second smallest 5-digit even number formed by using all the digits 9, 2, 0, 4 and

3, the digit in the ten thousands place stands for _____ hundreds. (A) 204 (B) 240 (C) 200 (D) 203

20. Danish has either ` 5 or ` 10 notes. He has a total of ` 260. How many more ` 5

notes than ` 10 notes will be there? (A) 22 (B) 26

(C) 28

(D) 10

21. The quotient of 2304 and 4 is less than the product of 6 and *. Find the smallest

possible whole number in place of *. (A) 96 (B) 88

(C) 106

(D) 42

22. Which is the standard form of the number represented by the given picture ? (A) 0,491 (B) 4,091 (C) 4,190 (D) 4,901 23. The place value of which digit is always equal to it's own value? (A) 5 (B) 1 (C) 4 (D) 0 24. When

is added to 59 hundreds, the answer is 300 tens more than 11 thousands.

How many tens is (A) 4

? (B) 40


(D) 810

7


25. It was 23 : 20 when Jay reached home. If he spent 1 hr 42 mins on the bus ride, what time did he board the bus?

(A) 9:30 p.m.

(B) 10:38 p.m.

(C) 9:38 p.m.

(D) 9:38 a.m.

Section-IIi : everyday mathematics 26. The time shown in Prerna's watch was 15 minutes slow. School started at 12:45 and Prerna was right on time. What was the time shown on Prerna's watch when

she reached school? (A) 12:30 (B) 13:00

(C) 1:00

(D) 13:05

1 as much as a papaya. Misha paid ` 32 for four papayas. How 2 much did she spend on 9 apples?

27. An apple costs

(A) ` 16

(B) ` 28

(C) ` 30

(D) ` 36

28. Rishab's weight is 28 kg. Deepali's weight is 4 kg more than Rishab's. What fraction

of Rishab's weight is Deepali's weight? (A) 1 (B) 7 7 8

(C) 8 7

(D) 8 15

29. Shilpa is four times as old as Raj. Riya is 6 years younger than Raj. If their total ages is 72, how much older is Shilpa than Riya?

(A) 48 years

(B) 45 years

(C) 42 years

(D) 39 years

30. Mary bought a new exercise book and she numbered all the pages. She wrote 151 digits in all. How many pages were there in the exercise book?

(A) 80

(B) 90


(D) 91

8


31. A group of 6 boys went to a carnival. The boys paired up for the bumper car rides so that each boy will ride with each of the other boys once. How many rides did the group take in all?

(A) 12

(B) 13

(C) 14

(D) 15

32. Sagar and Samir have an equal amount of money. 3 of Sagar's money is ` 2400. 4 2 What is of Samir's sum of money? 5 (A) ` 720 (B) ` 1280 (C) ` 1600 (D) ` 900 33. Isha bought 80 peaches. She found out that out of every 10 peaches, 2 are rotten and had to be thrown away. How many peaches did she have left in the end?

(A) 70

(B) 74

(C) 64

(D) 68

34. In a zoo, there were 15 lions and peacocks altogether. The number of heads was 25 less than the number of legs. How many more peacocks were there?

(A) 20

(B) 15

(C) 10

(D) 5

35. What is the total length of wire needed to form the given figure ? 10 cm V

T

S

R

12 cm

W

U 5 cm

P

(A) 83 cm

Q

27 cm

(B) 78 cm

(C) 88 cm


(D) 92 cm

7th


2

7th IMO | Class-4 | Level 2

logical reasoning 1. What is the missing number?

A. B. C. D.

2 4 5 8

2. At a fair, every 6th person was given a pen and every 10 th person was given a book. What was the position of the first person who received both a pen and a book ?

A. 20th

B. 30th

C. 60th

D. 15th

3. Some letters are given which are numbered 1, 2, 3, 4, 5 and 6. Find that combination of numbers so that letters arranged accordingly form a meaningful word.

E Q U A R S 1 2 3 4 5 6 A. 6, 2, 3, 4, 5, 1

B. 1, 2, 4, 5, 3, 6

C. 6, 3, 2, 4, 1, 5

D. 1, 6, 5, 4, 3, 2

4. Which one word cannot be made from the letters of the given word?

Intelligence A. CANCEL

B. INCITE

C. GENTLE

D. NEGLECT

5. Select the correct mirror image of the fig. (X).

A.

B.

C.

Space for Rough Work

D.

3


6. If

means

,

means

and

means

, then which figure is

formed by exactly 10 straight lines?

A.

B.

C.

D.

7. How many more sleeping lines than the vertical lines are there in the given letters?

A. B. C. D.

10 9 7 8

8. Which of the following parts is not embedded in the figure (X)?

A.

B.

C.

D.

Figure (X)

9. Study the adjoining diagram to answer the question given below. Grape tree is south-east of _______. A. Mango tree B. Peach tree C. Apple tree D. Banana tree 10. There is a certain relationship between the pair of figures on the either side of Identify the relationship and find the missing figure.

A.

B.

C.


D.

.

4


mathematical Reasoning 11. Arrange the following from the smallest to the greatest. CDXXII

DX

P A. P, Q, R, S

DXXV

DCII

R C. P, R, Q, S

Q B. P, R, S, Q

S D. P, Q, S, R

12. Given below is the price list of three items. Latika wants to purchase the combination of 1 skirt, 1 top and 1 jacket. If she has only ` 3000, then which combination of skirt, top and jacket will she buy?

Skirt

Price

Top

Price

Jacket

Price

S1

` 2000

T1

` 1000

J

` 500

S2

` 1500

T2

` 1800

A. S1 T2 J

B. S1 T1 J

C. S2 T2 J

D. S2 T1 J

13. Which of the following options is correct with respect to fraction of unshaded parts of the figures?

3 3  =  −  B.  8 16 

A.

 1 1 = −   2 4

C.

 1 1 =  +  D. 6 3

3 3  = +  8 24 

14. Factors of sum of the common factors of 18, 24 and 36 is ________.

A. 1, 2, 3, 4, 6, 12

B. 2, 4, 6, 12

C. 1, 2, 4, 12

D. 1, 2, 4, 6, 12

15. How many beads should be removed from the tens place and hundreds place in the abacus shown here if it has to represent number 28 tens less than the number shown in the abacus?

A. B. C. D.

2, 8, 2, 3,

2 2 1 0 Space for Rough Work

H

T

O

5


16. The given figure is formed by two rectangles. The length of each rectangle is 16 cm and its breadth is 10 cm. P and Q are the mid-points of the sides of the rectangles. Find the perimeter of the shaded part.

A. B. C. D.

32 26 30 28

Q P

cm cm cm cm

17. I am a 4-digit number. All my digits are different. They add up to 23. The one's digit is half the hundred's digit and the one's digit is double the ten's digit. What number am I? A. 9824 B. 8663 C. 7826 D. 9653 18. Put the correct sign to make the expression true. 40 × 87 – 12

A. > C. =

39 × 65 – 24 B. < D. Can't be determined

19. The given table represents the number of visitors at a Zoo on a certain day, where each represents 40 visitors. Study it carefully and answer the question that follows. Time

Number of visitors

10 am - 12 noon 12 noon - 2 pm 2 pm - 4 pm 4 pm - 6 pm 6 pm - 8 pm

If the price of an entrance ticket was ` 6, how much was collected from ticket sale on that day?

A. ` 6500

B. ` 3900

C. ` 4500


D. ` 5400

6


20. What is the number that is a multiple of 7 as well as a factor of 119?

A. 28

B. 49

C. 17

D. 119

Everyday mathematics 21. Sanya went to her friend's house at 9:45 am. Her mother told her to reach back home in 180 minutes. If given clock shows incorrect time when she reached back home then which of the following statements is correct?

A. B. C. D.

Clock Clock Clock Clock

is is is is

15 30 15 30

minutes minutes minutes minutes

slow. slow. fast. fast.

22. Komal wants to decorate the boundary of a rectangular design with lace. If she uses 48 cm length of lace costing ` 15 per cm, then which are the possible dimensions of design and total cost of lace?

A. l = 16 cm, b = 8 cm and ` 1920 C. l = 4 cm, b = 8 cm and ` 620

B. l = 8 cm, b = 4 cm and ` 720 D. l = 16 cm, b = 8 cm and ` 720

23. Rahul has 90 pens costing ` 1350. Shipra bought 7 dozen pens from him. How much amount did Shipra pay to Rahul?

A. ` 1060

B. ` 960

C. ` 1260

D. ` 1360

24. Rehan's mother has gone to her friend's house on 19th December 2013 and stayed there for 1 month. If 11th January 2014 is Saturday, then on which day Rehan's mother left for her friend's house?

A. Thursday

B. Saturday

C. Wednesday

D. Friday

1 1 1 kg mangoes, 1 kg apples, 9 kg papayas. How much weight 3 2 4 did she carry home?

25. Radhika bought 5

A. 16

13 kg 12

B. 16

1 kg 12

C. 15


1 kg 13

D. 15

12 kg 13

7


1 times around a rectangular field that measured 25 m by 12 m. What 2 is the total distance he jogged?

26. Pranav jogged 4

A. 323 m

B. 333 m

C. 433 m

D. 443 m

27. Garima went to movie with her two friends. She gave ` 1000 to counter for movie tickets, 1 bucket of popcorn and 3 pepsi cans, what information is needed to find the amount she will get back?

A. B. C. D.

Movie name Movie time Number of tickets Cost of a movie ticket

` 75 ` 50

28. Ankur earns ` 20,098 in a month. Every month he spends ` 15,026 and saves the rest. How much will he save in 2 years?

A. ` 21,728

B. ` 2,20,728

C. ` 1,21,728

D. ` 2,21,728

29. Sanchi takes 24 mins 25 sec to draw 15 rectangular designs. How long does she take to draw 30 rectangular designs if all are drawn in equal period of time?

A. 48 mins 50 sec

B. 49 mins 50 sec

C. 49 mins 10 sec

D. 48 mins 10 sec

30. Manha can only pack 16 apples into a box. If there are 560 apples to be packed, how many boxes of apples will be there?

A. 35

B. 15

C. 45

D. 25

achievers section 31. A number multiplied by 5 and then added to 209, become 364. Three times of the number is _________. Which of the following statements is/are true with respect to answer of the above question? Statement 1 : Greater than 85 and less than 95. Statement 2 : Number is multiple of 3.

A. Only statement 1 is true C. Both statements 1 and 2 are true

B. Only statement 2 is true D. Neither statement 1 nor 2 is true


8


32. Fill in the blank. Subtract 65 minutes from the sum of 140 minutes and _________. The answer is 2 hrs. 35 mins.

A. 1 hr 20 mins

B. 1 hr

C. 1 hr 40 mins

D. 1 hr 25 mins

33. Which one of the following is incorrect?

8 3   + A. 2 ×  6 +  = 12.076  1000 100 

B. 100 × (87) = 8700

9  9 = 3.24 C. 4 ×  −  10 100 

D.

9 4 3 5 2 0 × × × × × = 7 .2 5 15 2 8 5 3

34. Which one of the following figures, each made up of 3 cm squares, has the greatest perimeter?

A.

B.

C.

D.

35. A number is greater than 50 but smaller than 59. It has only two factors. What is the number?

A. 51

B. 55

C. 53 Space for Rough Work

D. 57

ANSWER KEYS 5 th IMO 1. 8. 15. 22. 29.

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

2. 9. 16. 23. 30.

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

3. 10. 17. 24. 31.

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

4. 11. 18. 25. 32.

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

5. 12. 19. 26. 33.

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

6. 13. 20. 27. 34.

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

7. 14. 21. 28. 35.

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

5. 12. 19. 26. 33.

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

6. 13. 20. 27. 34.

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

7. 14. 21. 28. 35.

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

5. 12. 19. 26. 33.

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

6. 13. 20. 27. 34.

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

7. 14. 21. 28. 35.

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

6 th IMO 1. 8. 15. 22. 29.

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

2. 9. 16. 23. 30.

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

3. 10. 17. 24. 31.

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

4. 11. 18. 25. 32.

(D) (B) (C) (C) (B) 7 th IMO

1. 8. 15. 22. 29.

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

2. 9. 16. 23. 30.

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

3. 10. 17. 24. 31.

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

4. 11. 18. 25. 32.

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

Class 4 Imo 3 Year e Book Level 2 13

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