Class 4 IMO 4 Years e Book 2016

10TH

Level 2

SOLVED PAPERS 4 years (2012-2014, 2016)

4

INSTANT

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IMPORTANT INSTRUCTIONS

Exam Date : 12 : 12th February 2017. 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] [email protected] for for any enquiry. Mode of exam : NCO/NSO/IMO level 2 for academic year 2016-17 will be a paper-pen objective test. Pattern of the exams : NATIONAL CYBER OLYMPIAD Class 3 to 4

5 to 12

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

No. of Questions

Marks per Question

Total Marks

30 5 35 45 5 50

1 2

30 10 40 45 15 60

1 3

NATIONAL SCIENCE OLYMPIAD Class 3 to 4

5 to 10

11 and 12

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

No. of Questions

Marks per Question

Total Marks

30 5 35 45 5 50 25 5 20 50

1 2

30 10 40 45 15 60 25 15 20 60

1 3 1 3 1

INTERNATIONAL MA M ATHEMATICS 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

Total Marks

30 5 35 45 5 50

1 2

30 10 40 45 15 60

1 3

5th

LEVEL - 2 Year 2011-12

| 5th IMO | Level-II | Class 4

2

SECTION I : LOGICAL REASONING 1.

Some letters are given which are numbered 1, 1, 2, 3, 4 and 5. 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.

3.

Find a gure from the given options which completes Fig. (X). ( X). (A)

(B)

(C)

(D)

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

(A)

4.

(C)

(D)

Which number number will replace the question mark mark in the given series? (A) 41

5.

(B)

(B) 51

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

(D) 60

Which one of the following words cannot be made from the letters of the given word? (A) NECTAR

'CARPENTER' (B) CARPET (C) PAINTER

(D) REPENT

SPACE FOR ROUGH WORK

3

5th IMO | Level-II | Class 4 |


3 6.

If the code of BAND BAND is 2465 and and the code of of PAST PAST is 1489, what what will be the code of PANT? (A) 1468

7.

(B) 1469

(C) 1465

(D) 1466

How many unit cubes are needed needed to build the given solid? (A) 34 (B) 36 (C) 32 (D) 28

8.

Akshat was facing the mall mall in the beginning. beginning. He took

3 4

turn anticlockwise and then

1 2

turn

clockwise. What is he facing now? (A) Park (B) Police post (C) School (D) Community centre 9.

Study the diagram carefully carefully.. Which numbers are are represented represented by (a) and (b)? (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 16th but before 21st April, while her brother Rohit remembers that his father's birthday was after 19 th but before 22 nd April. On what date does their father's birthday fall? (A) 19th April

(B) 21st April

(C) 20th April



4

(D) None of these


4

SECTION II : MATHEMATICAL REASONING 11. Find the difference between horizontal and vertical lines in the given gure. (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 gure is _____. (A) 87 cm (B) 92 cm (C) 88 cm (D) 90 cm 13. If

5 9

of the shapes shown are to be shaded, how many more shapes need to be

shaded? (A) 3 (B) 5 (C) 4 (D) 6 14. In the given sum the same number is missing from each box. What i s the number? (A) 4 (B) 5 (C) 6 (D) 7 SPACE FOR ROUGH WORK

5



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 ve children? (A) 135 kg

(B) 140 kg

(C) 145 kg

(D) 155 kg

17. The difference between (seven thousands, ve hundreds and ve ones) and (ve thousands and fty-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 nd the value of

(B) 1255

(C) 1525 SPACE FOR ROUGH WORK


6

(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 gure 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

(D) 72748

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

7



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 rst, how many stamps did Minnie have at rst? (A) 530

(B) 574

(C) 754

(D) 745

27. Niharika sold 842 apples on Monday. 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



8

(D) 18429


8

32. Anjali bought one dress, one shirt and one T-shirt. The T-shirt costs shirt costs

`

`

150. The

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 34. Mayank had a bottle of milk. He drank

2 8

(D) 215

in the morning and drank

3 5

of the

remainder in the evening. What fraction of the original amount of milk did he have left? (A)

2 5

(B)

3 10

3

(C)

20

3

(D)

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 follows the given rule. 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 number if both the gures follow same pattern. 1 4 36 5 5 87 6 (A) 18704

3.

23 5 12 32 43

75 84

11732 (B) 15984

3 87 5 ?

(C) 17504

(D) 19803

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

Fig. (X) (A)

4.

(B)

(C)

The positions of how many digits in the number 321465987 321465987 will remain same when the digits are arranged in ascending order? (A) None (B) One (C) Two

5.

(D)

(D) Three

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



3 6.

Identify the symmetrical symmetrical gure corresponding to the half symmetrical gure gure as shown below.

(A)

7.

(B)

(C)

(D)

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 English

8

Mathematics

9

Science

79

Total

(A) 96 8.

256

(B) 97

(C) 98

(D) 99

Which gure is embedded in Fig. (X)?

Fig. (X) (A)

(B)

(C)



4

(D)

| 6th IMO | Level-II | Class 4 9.

4

Meera is at position position A facing D. She walks forward and 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 nal position. What is her nal position? D

C F

A I (A) E

B E H

G

(B) B

(C) G

(D) F

10. What is the minimum number of different colours required to paint the given gure 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 nd 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

12. How many numbers between 50 and 100 are multiples of 6? (A) 7 (B) 8 (C) 9 13. How many (A) 28

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

(C) 30

170 (D) 250, 1500, 375

(D) 10

(D) 22


5



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, nd G. (A) 24 (B) 12 (C) 6 (D) 8 18. What fraction of the gure is unshaded?

(A)

7 20

(B)

13

(C)

20

11 20



6

(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

(C) 34

(D) 810


7



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 weight is 4 kg more than Rishab's. What fraction of Rishab's weight is Deepali's weight? (A)

1 7

(B)

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

(C) 95 SPACE FOR ROUGH WORK


8

(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 gure?

W

U 5 cm

10 cm V

T

S

R

m c 2 1

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.

2 4 5 8

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 rst person who received both a pen and a book? A.

3.

20th

B. 30th

C. 60th

D. 15th

Some letters are are given which are numbered numbered 1, 2, 3, 4, 5 and 6. 6. Find that combination 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.

4.

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

Which one word CANNOT be made from the letters of the given word? INTELLIGENCE A.

5.

CANCEL

B. INCITE

C. GENTLE

D. NEGLECT

Select the correct mirror image of the g. (X). (X).

A.

B.

C.

D.

Space for Rough Work


3

3


6.

If

means

,

means

and

means

, then which gure is

formed by exactly 10 straight lines? lines? A. 7.

9.

C.

D.

How many more sleeping lines than the vertical lines are there in the given letters? A. B. C. D.

8.

B.

10 9 7 8

Which of the following parts is NOT NOT embedded in the gure (X)? A.

B.

C.

D.

Figure (X)

Study the 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 gures on the either side of Identify the relationship and nd the missing gure.

A.

B.

C.

.

D.


4


MATHEMATICAL MATHEMATICA L REASONING

4


MATHEMATICAL MATHEMATICA L REASONING

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

DX

P

A.

P, Q, R, S

B.

DXXV

DCII S

R C. P, R, Q, S

Q P, R, S, Q

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 she has only only ` 3000, then which combination of skirt, top and jacket will she buy? Skirt

A.

S1 T2 J

Price

Top

Price

S1

`

2000

T1

`

1000

S2

`

1500

T2

`

1800

B. S1 T1 J

Jacket

Price

J

500 ` 500

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 gures? 3 3 =  −  B.  8 16 

A.

1 1 =  −  2 4

C.

1 1 =  +   6 3

3 3 =  +   8 24 

D.

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

H

T

O



5

5


16. The given gure 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.

Q P

32 cm 26 cm 30 cm 28 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

Nu mb e r o f v i si to r s

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, 6, how much was collected from ticket sale on that day? A.

` 6500

B.

`

3900

C.

` 4500

D.

5400 ` 5400


6


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 ` 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 25. Radhika bought 5 kg mangoes, 1 kg apples, 9 kg papayas. How much weight 2 3 4 did she carry home? A.

16

13 kg 12

B.

16

1 kg 12

C. 15

1 kg 13

D.

15

12 kg 13



7

7


1 26. Pranav jogged 4 times around a rectangular eld that measured 25 m by 12 m. What 2 is the total distance he jogged? 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 nd 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 20,098 in a month. Every month he spends ` 15,026 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 ` 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


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?

 

A.

2 × 6 +

C.

4×

8 3  +  = 12.076 1000 100 

 9 − 9  = 3.24  10 100 

B. 100 × (87) = 8700 D.

9 4 3 5 2 0 × × × × × 5 15 2 8 5 3

= 7.2

34. Which one of the following gures, 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

9th


MATHEMATICS

1.

Arrange the the following from the greatest greatest to the the smallest. smallest.

A. 2.

DXXV

P

Q

R

S

P, Q, R, S

B. P, R, S, Q

C. R, S, Q, P

6200

B. 620

C. 62

2,500

B. 67,000

C. 70,500

39

B. 57

C. 48

D. 69,500

D. 75

240 × 87 – 12

A. > C. =

B. < D. Can't be determined

A number that that is greater than 100 and less than than 130 is a common multiple of 5 & 25, 25, and a factor of 125. The product of its digits is ______. A.

7.

D. 2600

Put the correct sign to make the given expression expression true. true. 139 × 65 + 24

6.

D. R, Q, S, P

I am a two-digi t number. number. My digits add to 12. I am an odd number. number. I am less than 41 but greater than 20. What number am I? A.

5.

DCVI

In 73,569, the difference difference between the place value value of the digit at at the ten thousand's thousand's place and the digit at the hundred's place is ______. A.

4.

C DX X I I

If 590 hundreds hundreds is added to 300 tens, then how many hundreds are there in the resulting number? A.

3.

LXIX

If A.

2

B. 4 +

4255

= 2309, 5

C. 6

= 4365 4365 and and

B. 6275

+

D. 10

= 1927, then nd the value of 5

C. 7780

+2

.

D. 8383


2

| 9th IMO | Class-4 | Level 2

8.

The product of 5420 and 18 is ______ ______ greater than the product product of 3098 and 14. A.

9.

21398

B. 54188

C. 52913

D. 52931

What is the missing missing number number in the the following expression? 28, 712 + 1,29 1 ,293 3 – 2,5 86 = ___ _ __?___ – 1,9 1 ,920 20 A. 27,409

B. 27,419

C. 29,339

D. 32,591

10. Which of the following numbers has the greatest number of factors? A.

35

B. 28

C. 48

D. 16

11. Which of the following statements is CORRECT? A.

154 beads can be divided equally into 4 and 7 bags.

B. 1024 is a common multiple of 6 and 8. C. 4 and 9 are common factors of 252 and 144. D. 7 is a factor of 28 and a multiple of 14. 12. Mukti is 21 years old. Her father is thrice as old as she is. How old will she be when her father turns 70? A.

28 years

B. 29 years

C. 27 years

D. 30 years

13. Taking 165 away from the product of 143 and X gives 979. Find the value of X. A.

8

B. 9

C. 10

14. Find the value of 2P + 3Q + 4R + S. A. 80 C. 30

B. 50 D. 75

D. 12 3

P

3

7

+ 1

3

Q

1

S

2

2

R

15. Mr. Sharma's class is going on a field trip. In each of the 2 vans, there will be 7 children and 1 adult. In each of the 4 cars, there will be 4 children and 1 adult. How many people are going on the field trip? A.

17

B. 30

C. 36

D. 38


9th IMO | Class-4 | Level 2 |

3

16. Select the CORRECT match of shaded part of the gure. 3 3 =  −  B.  8 16 

A.

1 1 =  +   4 2

1 1 =  +   6 3

C.

3 3 =  +   8 24 

D.

17. If the given figure is made up of identical squares, then find its perimeter. A. B. C. D.

68 60 64 62

cm cm cm cm

4 cm 4 cm

18. Which of the following statements can be true? A. B. C. D.

P

is S is P is R is

the the the the

2709 2799 2750 2790

largest of all the other numbers. smallest of all the other numbers. smallest of all the other numbers. largest of all the other numbers.

P Q R S

19. Greatest five digit number that can be formed using the digits 7, 9, 0, 5, 8 each only once is ______. A. B. C. D.

79058 90758 98570 98750

20. Four boxes (P, Q, R and S) each contain different number of marbles. If the total number of marbles in these 4 boxes is 75, then find the number of marbles in Box Q. A. 26 B. 27 C. 29

s 20 el

br 16 a r

o

m 12 f

8 m

4 N

0

u

b

e

P

Q

R

S

Boxes

D. 28 SPACE FOR ROUGH WORK

4


21. What is the total weight of the teddy bear and the car? A.

30 kg

B. 375 kg

490

C. 708 kg

0 70 kg

420

630 540

140

180

450

350 210 280

D. 400 kg

0 90 kg

360

270

22. Pia started doing her homework at 15:44. She completed her homework at 20:12. How long did she take to complete her homework? A.

4 hrs 28 mins

B. 4 hrs 32 mins

C. 5 hrs 28 mins

D. 5 hrs 32 mins

23. Himanshu had 80 kg 750 g of rice. He packed the rice into 12 packets, each weighing 5 kg 600 g. How much rice was left unpacked? A.

7 kg 200 g

B. 13 kg 550 g

C. 12 kg 950 g

D. 13 kg 950 g

24. Monika's weight is less than 60 kg but more than 29 kg. If she gains 3 kg, her weight will be a multiple of 8. If she loses 4 kg, her weight will be a multiple of 7. Find Monika's weight. A.

51 kg

B. 53 kg

C. 48 kg

D. 42 kg

25. Deepti bought 1 doll and 4 teddy bears. The cost of a teddy bear is ` 20 less than the cost of a doll. If she gave the cashier a ` 1000 note, then how much change did she get? A. B. C. D.

` 680

780 ` 8100 ` 480 `

` 120

26. If the perimeter of the given figure is 50 cm, then find the value of x . A. B. C. D.

6 7 8 9

12 cm

c m 3

cm cm cm cm

x

4 cm

4 cm

4 cm

16 cm



5

27. Which of the following is equivalent to fraction of unshaded part? A.

1 3

B.

2 3

C.

1 4

D.

5 18

28. The adjoining graph shows the number of students of four sections (P, Q, R, S) of class IV. st

Find the difference between the sum of number of students of section P & R and the sum of number of students of section Q & S. A. B. C. D.

40 n e d ut

30 s f o

20 r e

35 30 85 10 b m

10 u N

0

P

Q R Class IV

S

29. 29. The given figure shows the amo unt of money Armaan saved in 5 months. He saved the same amount of money every month. How much did he save in 1 year? A. B. C. D.

180 ` 15 ` 150 ` 320 `

30. Which of the following is/are INCORRECT?

(i)

2

8 3 ×  6 + +  = 12  10 10 

(ii) 100 × (87) = 8700

(iii)

4

9 9  324 ×  − =  10 100  100

(iv)

A.

Both (i) and (ii)

B. (i), (ii) and (iii)

9 5

×

4 15

3

5

2

0

2

8

5

3

× × × × =7

C. Only (iii)

D. Both (i) and (iv)


6


ACHIEVERS SECTION

31. If QRST and TUVX are rectangles & PQXW and MLUN are squares, then the perimeter of the given figure is _____. A.

P

13 cm

Q

R

9 cm

87 cm

V

B. 92 cm

M

C. 88 cm

N

D. 98 cm

20 cm

X

W L

U 4 cm

T

S

25 cm

32. Find the value of (2P + 5Q) × 3R. A.

249

B. 228

1

D. 456 + + A.

P 6

1

6

8

2

9

P

3

6

7

2

Q

+

C. 280

33. If

7

= 3216 and +

5280 528 0

+

R

= 2304, then find the value of

. B. 4130 413 0

C. 4140 414 0

D. 5128 512 8

34. The table below shows the points scored by Latika and Garima in four games of bowling. G ames

1st

2nd

3rd

4th

Total

Lat ik a

82

?

72

90

?

G ar i ma

54

86

80

84

3 04

If Latika scored 22 points less than Garima in the 2nd game, then how many more points did Latika score than Garima in the four games played? A.

6

B. 2

C. 8

D. 4



7

35. Eight squares of side 1 cm each are cut out from the square D. Now it looks like shape E. What is the length of the boundary of shape E? 5 cm

m c 5

D

m

c

5

E

5 cm

A.

28 cm

B. 14 cm

C. 36 cm

D. None of these


8


ANSWER KEYS 5th 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. 18. 25. 25. 32. 32.

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

5. 12. 19. 26. 26. 33.

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

6. 13. 20. 20. 27. 34. 34.

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

7. 14. 21. 28. 35.

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

5. 12. 19. 26. 33. 33.

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

6. 13. 20. 27. 27. 34.

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

7. 14. 21. 28. 35.

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

5. 12. 19. 26. 26. 33. 33.

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

6. 13. 20. 27. 27. 34.

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

7. 14. 21. 28. 35.

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

6th 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)

7th 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. 25. 32.

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

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

9th IMO 1. 2. 3. 4. 5.

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

6. 7. 8. 9. 10.

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

11. 12. 13. 14. 15.

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

16. 17. 18. 19. 20.

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

21. 22. 23. 24. 25.

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

26. 27. 28. 29. 30.

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

31. 32. 33. 34. 35.

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

Class 4 IMO 4 Years e Book 2016

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