Class 4 IMO (2011-2015)

1

eb o

ok

I NTERNATIONAL MATHEMATICS OLYMPIAD

CLASS

4

5

Years (2011-2015) Solved Papers

INSTANT

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CLASS 4

Contents Â

5th IMO 2011

Â

6th IMO 2012 - SET A

Â

6th IMO 2012 - SET B

Â


Â


Â


Â


Â


Â


MTG WORKB OOK S / OLYMPIAD BOOKS CLASS 1

International English Olympiad

National Science Olympiad

International Mathematics Olympiad

Learning Science

Learning Mathematics

Reasoning

Learning & Knowing

Learning Computers

Anubhuti

CLASS 2



National Cyber Olympiad


Learning Computers

Learning Science


Learning & Knowing

Reasoning

Anubhuti

MTG WORKB OOKS / OLYMPIAD BOOKS

CLASS 3





Learning Computers

Learning Science


Learning & Knowing

Reasoning

Anubhuti

CLASS 4 CLASS 3





Reasoning

Learning Computers

Learning Science


Learning & Knowing

Anubhuti

MTG WORKB OOK S / OLYMPIAD BOOKS CLASS 5





Learning Computers

Learning Science





Learning Computers


Learning & Knowing

Learning & Knowing

Reasoning

Anubhuti

CLASS 6


Reasoning

Class 4 5th

Year 2011

2

5th IMO - 2011

SECTION I : LOGICAL REASONING 1.

, (A) 72

2.

3.

2 = 18. Find th e valu e of

×

(B) 81

.

(C) 9

Four bus es P , Q , R and S arrived at a bus terminal at four d ifferent timing s. The given chart shows the arrival times of buses P, Q, R and S respectively. Which bus was the rst to arrive at the bus terminal ? (A) P (B) Q (C) R (D) S

(D) 48 Bus

Arrival time

P Q R

Quarter past 5 5 10 minutes to 5

S

Quarter to 5

The numb ers giv en below fol low a pattern. 39, 55, 71, 87, 103, ? If the patte rn continues in the same way, which numbe r should come next ? (A) 117 (B) 119 (C) 127 (D) 130

4.

The giv en chart shows the numb er of markers on the desk of some students. Which two students have number of marke rs that could be shared equally among three students? (A) Harsh and Mohit (B) Mohit and Tanuj (C) Sanjay and Mohit (D) Sanjay and Tanuj

5.

Markers on Desks Stu dent Num be r o f M ark ers Sanjay 12 Harsh 19 Mohit 13 Tanuj 9

A number line is shown below.

Wha t is the missing number? (A) 580 (B) 640

(C) 720 SPACE FOR ROUGH WORK

(D) 760

5th IMO - 2011 6.

3

Bittoo is usi ng three cards shown be low to make a three -digit number . Which list shows all the possible three-digit numbers Bittoo can make using each card if repetition of cards is not allowed ? (A) 367, 673, 736 (B) 367, 376, 673, 736 (C) 367, 376, 637, 673, 736, 763 (D) 367, 376, 637, 673, 736, 763, 777, 333, 666

7.

7 3 6

Given map is showing the dist ances between Rehaan's house, his school and shopping mall. Which of the following statements is CORRECT ? (A) The distance between Rehaan’s house and his school is 1600 m. (B) The distance between Rehaan’s house and his school is greater than the distance between his school and the shopping mall. (C) The distance between the shopping mall and Rehaan’s house is 3535 m. (D) The distance between the shopping mall and Rehaan’s house is shorter than the distance between his school and the shopping mall.

8.

How ma ny people

in the pict ure a re wit hout

spectacles? (A) 14 (B) 15 (C) 16 (D) 17 SPACE FOR ROUGH WORK

4 9.

5th IMO - 2011 Shapes

Pre eti is sele cting a be ad for a ne ckla ce. Her

Colours Gold

choices of shape s and colo urs of bea d are shown

Star

Silver

here. Which tree diagram shows all the possible

Purple

combinations of 1 shape and 1 colour?

Orange

eart

White

(A)

(B)

(C)

(D)

10. Eve ry class that visits Lif

one o t ese

e Science Muse um is divi ded into groups of

4 stude nts

for each tour guide. Which of the following classes would not be able to form groups of 4 students with none left over? (A) c ass o stu ents (C) c ass o stu ents

SECTION II :

(B) c ass o (D) c ass o

stu ents stu ents

MATHEMATICAL REASONING

11. It is now 11:3 0 a.m. W here will the hour hand be pointing 1 hour late r ? (A) Between 11 and 12(B) Between 12 and 1 (C At 12 (D) At 1 12. Which pa ir of lines rese mbles a railway tra ck? (A)

(B)

13. Each (A) (C)

(C

(D)

st and s fo r 10 g. Fin d th e mass of th ree g g

(B) (D)

. g

SPACE FOR ROUGH WORK

g

ot

an

5th IMO - 2011

5

14. The give n list shows the numbe

r

of cars of each colour in a parking lot. • There a re 18 red cars. • There are 16 bl ue cars. • There are 6 whi te cars. • There a re 10 gr een cars . Which key correctly completes the pictograph? (A) Each

means 5 cars.

(B) Each

means 4 cars.

(C) Each

means 2 cars.

(D) Each

means 3 cars.

15. Veena wanted to take the bus at 5:10

p.m. She arriv ed a t th e bus sto p 25 min utes

before 5 : 10 p.m. W hat time did Ve ena arrive a t the bus stop? (A) 5:35 p.m. (B) 4:45 p.m. (C) 4:40 p.m.

(D) 4:25 p.m.

16. The models given below are shaded to show 3 fractions.

7/8

7/10

7/9

Which list shows these fractions in order from the greatest to the least? (A)

7 10

>

7 9

>

7 8

(B)

7 9

>

7 8

>

7 10

(C)

7 8

>

7 9

>

7 10

(D)

7 10

17. Which of the following  gures cor rectly shows a line of symmetry? (A)

(B)

(C)


(D)

>

7 8

>

7 9

6

5th IMO - 2011

18. The given table shows the number of buttons that were made at a button factor y each wee k fo r th ree wee ks. W hich of the followin g shows c orrect order of the week with the greatest number of buttons made to the wee k wit h the least number of b made? (A) Week 1, Week 3, Week 2 (C) Week 2, Week 1, Week 3

uttons

Week Week 1 Week 2 Week 3

Buttons Made Number o f B uttons 84,503 80,968 84,551

(B) Week 2, Week 3, Week 1 (D) Week 3, Week 1, Week 2

19. I am thin king of a number . If I a dd 85 to the number and then subtract 15

0 from

the result, the answer is 130. What is the number I am thinking of ? (A) 20 (B) 105 (C) 195 (D) 365 20. Wha t is t he place value of 7 in the number given below ? 32,074 (A) 7 ones (B) 7 tens (C) 7 hundreds

(D) 7 thousands

21. Which number is a common factor of 42 (A) 7 (B) 10

(D) 8

and 7 0? (C) 21

22. Mohit place d points t hat re prese nt the ve rtices of a gure on the grid. Which gure can be made by conn ecting th ese vertic es alph abe tic ally, starti ng and ending with point (A) Pentagon (B) Hexagon (C) Triangle (D) Square

P

?

23. Anjali put 50 pickles on 10 sandwiches. She put the same number of pickles on each sandwich. Which of the following number sentences can be used to nd how many pickles Anjali put on each sandwich? (A) 50 – 10 =

(B) 50

×

10 =

(C) 50 + 10 =


(D) 50

÷

10 =

5th IMO - 2011

7

24. Jama l's clues a bout his myst ery numbe r are shown in My number has 5 tens 8 thousands 2 ones 6 ten thousands 0 hundreds

the box. What is Jamal's mystery number? •

(A) 58,260

•

(B) 62,850

•

•

(C) 68,052

•

(D) 86,520 25. Look at the numbers shown below.

Subtract 2 from the 3

rd

number from the left.

The answer is the same as the ______ number from the right. (A) 1st (B) 2nd (C) 3rd (D) 4th

SECTION III :

EVERYDAY MATHEMATICS

26. Nihal rode his bike on two days. He rode a total of 12 kilometres in two days. On 7

the rst day, Nihal rode the second day ? (A)

19

1 2

kilometres

(B)

5

1 2

1

kilometres. How many kilometres did Nihal ride on

kilometres

2

(C)

4

1

kilometres

2

(D)

3

1

kilometres

2

27. Tanmay ordered 18 boxes of shirts for his store. Each box had 12 shirts. What was the total number of shirts in these boxes? (A) 54

(B) 216

(C) 378

(D) 30

28. There are a total of 516 trees in 6 parks. There are an equal number of trees in each park. Exactly how many trees are there in each park? (A) 96

(B) 86


(D) 68

8

5th IMO - 2011

29. The stud ents at a scho ol col lected cans of food. The

fou rth -grade stud ents coll ected

564 cans. The fth-grade students collected 2 times of fourth-grade students. What was the total number of cans collected by these students? (A) 1,692 (B) 1,293 (C) 175 30. Mrs. G upta is buyi ng pencils for

(D) 1,801

the students in her class. The

re a re 2 3 students

in the class. Each students will receive 2 pencils. Pencils are sold in a packet of 6. What is the least number of packets Mrs. Gupta needs to buy? (A) 4 (B) 7 (C) 8 31. Samrat spe nt

`

8,762 to paint his house. He also spent

(D) 9 `

987 to repair the roof.

What was the total amount Samrat spent to paint his house and repair the roof? (A) ` 7,775 (B) ` 9,749 (C) ` 9,750 (D) ` 18,632 32. All the students in Mr. Kapoor’s class are working in groups. There are 6 groups of 4 students and 1 group of 3 students. What is the total number of students in Mr. Kapoor’s class? (A) 18

(B) 24

(C) 26

33. At a local fair in Delhi, Katrina had games,

`

45 on large popcorn and

left with Katrina ? (A) ` 300

(B)

`

150

` `

(D) 27

500 to spend. She spent

`

140 on video

15 on small lemonade. How much money is (C)

`

200

(D)

`

130

34. There are 48 scouts in a training camp. Initially 6 scouts were sharing a tent. How many more tents are needed if 4 scouts are to share a tent ? (A) 2 (B) 4 (C) 6

(D) 12

35. There are 140 tricycles and 276 bicycles in a park. How many wheels are there in all ? (A) 416

(B) 832


(D) 1248

Class 4 6th

Set A Year 2012

2

6th IMO - SET A


Which of th e g ive n re cta ngle has the la rge st

P

perimeter? (A) P

Q

(B) Q

R S

(C) R (D) S 2.

0

(B)

(C)

(A) 13400, 14400

10200

P

(B) 12600, 14800

13000

Q

15800

(C) 10600, 15000

(D) 11600, 14400

(C)

(D)

Which h ouse has the la rge st va lue ?

(A)

5 thousands 7 hundreds

(B)

25 ones

5.

(D)

Fin d the values of P and Q res pectively . 8800

4.

5

Which o ne of the follow ing ha s N O line of symm etry ? (A)

3.

1234

7 thousands 72 tens

50 tens 99 ones

115 ones

12 friends me t at a pa rty . Each friend shook hand

s with each other ex actly once .

Number of handshakes took place is _____. (A) 66

(B) 50


(D) 40

th

6.

3

Riya is 17

th

from the front in a queue. She is 19

th

from the end. Then how many

students are there in the queue? (A) 7.

(B)

(C

(D)

Removin g whic h of the follow ing sq uare will re sult no change in the perimeter of the given gure?

8.

(A)

(B)

(C)

(D)

If the re a re 6 cells arou nd one cell, 8 cells a round two cells in a row, then number of cells around a row of three 1

cells is _____.

9.

(A)

(B)

(C)

(D)

Rohan wa nts to move

2

just one matchstick to ma ke the e qua tion correc t. W hich

part will he take out ? (A) Q (B) (C) (D)

P

Q

R

S

10. Find the missing nu mber in F ig. ( X). (A)

40 5

(B) (C)

64 8 8 4 32

?

Fig. (X)

(D) SPACE FOR ROUGH WORK

56

4

6th IMO - SET A

SECTION II : MATHEMATICAL REASONING 11. Which of the follow ing is equivalent to "ve lakhs one hundre d and nine"? 501009

50109

(A)

500109

(B)

510090

(C)

(D)

12. The give n bar gr aph sho ws the he ight of ve chil dren. Wha t is the diff erence betwee n the height of the tallest child and the shortest child ? (A) 45 cm (B) 30 cm (C) 60 cm (D) 105 cm 13. The perimeter of

the star equals t he perimeter of t he hexagon (a ll s ides are e qual).

If each side of the hexagon is 20 cm long, then each side of the star is ____. (A) 12 cm (B) 10 cm (C) 8 cm (D) 9 cm 14. If + (A) 15

+

= 120 and (B) 110

×

15. Which of the following shows all the (A) 1, 2, 3, 5, 6, 10, 15, 30 (C) 1, 2, 3, 5, 6

= 100, then (C) 45

–

=

? (D) 65

fac tors of 30? (B) 2, 3, 5, 6, 15, 30 (D) 1, 2, 5, 6, 15, 30, 60


5

6th IMO - SET A 16. Find the va lue of Y to ma ke the e xpression tr ue. 8000 = 50 (A) 2

(B) 10

×

80

Y

×

(C) 20

(D) 100

17. Arr ange the boxes in order, beginnin g from the heaviest to lightest. (A) P, Q, R, S (B) Q, R, S, P (C) R, P, S, Q (D) S, Q, R, P 18. How much does the (A) (B) (C) (D)

` ` ` `

cost ? +

100 320 200 240

+

= 720

+

`

+

= 960`

19. Which fr actio n of the give n gur e is unsha ded? (A)

2 3 1

(C)

4

20. Whe re will the minute ha the clock ? (A) 9 (B) 1 (C) 6 (D) 12

(B) (D)

nd point after 1 hour 4

3 4 1 3

5 minutes from the time shown on 11

12

1 2

10

3

9

4

8 7


6

5

6

6th IMO - SET A

21. Roman numeral e qui valent to 89 is ___ ___. (A) LXIL (B) IXC (C) XIC

(D) LXXXIX

22. What is the we ight of ea ch box? (A) 40 g (B) 60 g (C) 240 g (D) 90 g 23. In which of the following dotted lines shows a line of symmetry? R P

S

Q

(A) P

(B) Q

(C) R

(D) S

24. The product X = 2 × 2 × 3 × 5 × 7 × 7 × 11 × 13 × 17 × 19 is NOT divisible by a number. Which is the number? (A) 220 (B) 51 25. Fin d the value o f

(C) 65

(D) 54

X.

(A) 0 (B) 3 (C) 5 (D) 4

SECTION III : EVERYDAY MATHEMATICS 26. Jenny a nd He nry sol d together 90 chocolates during a sale

s promo tion. He nry sold

twice as many chocolates than Jenny. How many chocolates did Jenny sell? (A) 30 (B) 60 (C) 46 (D) 23 SPACE FOR ROUGH WORK

7

6th IMO - SET A 27. The capacity of a small container is 380 mL and the capacity of a big container is 1250 mL. If Aakash uses 8 small containers and 1 big container of water to ll up an empty tank, then what is the capacity of the tank? (A) 3750 mL (B) 4290 mL (C) 3040 mL (D) 4190 mL 28. Priya is practicing fo

r a ra ce. She uses the

2 km

given map to nd the possible routes. The route must start from

Home

Club

her home a nd end at

k

m

1

2

the park. She wants to run exactly 7 km.

km

2

k

School

1

km

k

m

2 km

1 km

Which of the following is the best route? (A) Home - Bank - Museum - Park (B) Home - Museum - Park (C) Home - Club - School - Lake - Park (D) Home - Bank - School - Lake - Park

3

m

1

km

Bank 2

1 km

km

Museum

Lake Park

2 km

29. The length of a square eld is 480 m. Vish al runs 5 ro unds around the eld. Find the total distance ran by Vishal. (A) 2400 m (B) 960 m

(C) 9600 m

(D) 4800 m

30. Look ing at the adj oini ng gu re, how ma ny

Garima

ance stor s did Garima had four genera tions ago? (A) 64 (B) 16 (C) 32

Father

Grand father

Mother

Grand mother

Grand father

Grand mother

(D) 20 31. Arshan packed 726 burgers into packets of 3. He sold them at much did he get in all? (A) ` 7542 (B)

`

484

(C)

`

242


`

2 per packet. How

(D)

`

712

8

6th IMO - SET A

32. There are 2 00 people in a hall. They are

divi ded equally in to 7 gro ups o f adult s and

3 groups of children. If there are 2 adults in each group, then how many children are there in each group ? (A) 30 (B) 60

(C) 70

(D) 62

33. Three friends , Payal, Latika and Megha are at the corners o f a rectangu lar eld. At which point should they meet so that the distan ces they wal k to that point is minimized?

Payal E

4 km

P

m k 3

Q

R D (A) Q

F Megha

Latika

(B) P

(C) D

34. Prerna boug ht 80 pea ches. S he found ou t that out

(D) R of every 10 peache s, 2 are

rotten and had to be thrown away. How many peaches in the end are left with her ? (A) 70

(B) 56

(C) 60

(D) 64

35. In a grazing e ld there are 60 goats, 30 deers and 10 childre n. How many legs are there in the eld ? (A) 200

(B) 360


(D) 400

Class 4 6th

Set B Year 2012

2

6th IMO - SET B


Which o f the follo wing p arts mus t be sha ded so that line PQ becomes the line of symmetry? (A) I and II (B) I and III (C) I and IV (D) II and III

2.

Which of the answer gur e is the mirror image of g. (X), if the mirror is placed along PQ?

(A)

3.

(B)

(C)

Study th e a djoi ning di agra m to an swe r the question given below. Grape tr ee is sou th-east of _______. (A) Mango tree (B) Peach tree (C) Apple tree (D) Banana tree SPACE FOR ROUGH WORK

(D)

3

6th IMO - SET B 4.

Look the alpha bet se rie s be low : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z th Which of the following is 9 to the left of 3 rd alphabet from right end? (A) P (B) O (C) N (D) M

5.

Find the next g ure in the gure p attern b elow.

(A)

(B)

(C)

(D)

6. Complete the pattern in the Fig. (X) by selecting a gure from the four options.

7.

(A)

(B)

(C)

(D)

Which of th e follow ing p arts i s NOT

(A) 8.

(B)

embedded in the Fig. (X)?

(C)

(D)

If in a month of 30 days, third Tuesday falls on 17 th , what will be the last day of the month? (A) 5th Tuesday

(B) 4th Sunday

(C) 5th Monday


(D) 4th Wednesday

4 9.

6th IMO - SET B How many pos sible comb ination s of one da y and one month are the re with 5 days and 5 months? (A) 20

(B) 25

(C) 10

(D) 22

10. Find th e valu e of 15 × 50 × 80 × 40 × 20 × 10 × 10 × 100 × 0 × 100 × 20 × 100. (A) 15800

(B) 15000

(C) 168000

(D) 0000

SECTION II : MATHEMATICAL REASONING 11. I am a four digit number. Sum of my digits is 28. My thousand's digits is twice of my ten's digit. Who am I? (A) 8947 (B) 6835

(C) 4687

(D) 3869

12. The ______ value of a digit is the digit itself, whereas the ______ value of a digit is determined by the place it occupies in the numeral. (A) Face, Face

(B) Place, Face

(C) Face, Place

(D) Place, Place

13. Find the va lue of expre ssion P + Q ÷ R × S, where P, Q, R, S are to be found from given division problem. (A) 10 (B) 8 (C) 6 (D) 4 14. Which of the following gures has fraction of shaded part more than fraction of unshaded part of the g. (X)? (A)

(B)

(C)


(D)

5

6th IMO - SET B 15. If

+

+

+

Find th e valu e of (A) 4560

+

= 2780 and

+ + (B) 4650

+

+ +

+ + = ? (C) 4950

= 1960. (D) 410

16. Find the value of X, if the perimeter of the gure below (not drawn to scale) is 50 cm.

(A) 10 cm

(B) 5 cm

(C) 15 cm

(D) 6 cm

17. The number bond below shows the common factors of 36 and 54. Find the sum of P, Q and R.

(A) 16

(B) 15

(C) 20

(D) 18

18. Which of the following state ments is CO RRECT? (A) There are seven basic symbols of the Roman numerals. (B) A symbol of greater value is written to the right of a symbol of smaller value, the smaller value is added to the larger value. (C) A symbol of smaller value is written to the right of a symbol of greater value, the smaller value is subtracted from the larger value. (D) V is never written on the right of X. SPACE FOR ROUGH WORK

6

6th IMO - SET B

19. Study the given ba r graph ca refully and answer the question that follows. Find the difference in the highest and the lowest score. (A) 80 (B) 64 (C) 32 (D) 72 20. Add 936 to the product of 343 and 76. Round off the answer to the nearest ten. (A) 27004 (B) 27010 (C) 28004 (D) 27000 21. The diff

erence betwee

n eight

thou sands

six

hundr eds f ive o nes and

six thousands seventy seven ones is _______. (A) 1880 22. The sixth

(B) 2880

(C) 2528

mult ipl e of a num ber is

the quo tient

(D) 1528 of 378 a nd 9. What is t

number? (A) 9

(B) 6

(C) 8

(D) 7

23. Four small square s of sid e 5 cm are cut from ea ch of the corners of a big square with side 20 cm. The perimeter of remaining gure is _______. (A) 80 m

(B) 8 m

(C) 80 cm

(D) 8 cm

24. Which sig n belon gs in the e mpty box? 29 × 0 (A) < (C) >

7 × 10 × 0 (B) = (D) Can't be determined


he

7

6th IMO - SET B 25. The gure shows the weight of different groups of objects. What is the total weight of a ball, a teddy, and a gift box?

(A) 137 kg

(B) 147 kg

(C) 150 kg

(D) 117 kg

SECTION III : EVERYDAY MATHEMATICS 26. At a grocery store, there were 350 cereal boxes on shelves. There were 10 different brands of cereals, and there were an equal number of boxes of each brand. What is the way of determining the number of cereal boxes of each brand on these shelves ? (A) Subtract 10 from 350 (B) Add 10 and 350 (C) Multiply 350 by 10 (D) Divide 350 by 10 27. Neha's room has two chairs of 4 legs each, one table of 4 legs each and three stools of 3 legs each. How many legs are there altogether of the furniture in her room ? (A) 20

(B) 21

(C) 16

(D) 13

28. Javed has 21 comics. He got two more from his aunt, 12 more on his birthday and bought 3 more with his pocket money. How many comics does he have now? (A) 38 (B) 40 (C) 36 (D) 28 29. Mohit went for a walk and returned home at 7:00 a.m. If it took him 1 hour and 30 minutes, at what time did he start to walk ? (A) 8:30 a.m.

(B) 4:30 a.m.

(C) 5:30 a.m.


(D) 6:30 a.m.

8

6th IMO - SET B

30. Suma n uses 15 tomatoes to make ha

lf a lit re of tomato sauce.

How much sauce

can she make from 45 tomatoes? (A) One and a half litres

(B) Two litres

(C) Three litres

(D) Two and a half litres

31. There are 54 marbles and they are put into 6 bags, so that the number of marbles in each bag is same. How many marbles would 2 bags contain? (A) 9 marbles

(B) 108 marbles

(C) 18 marbles

(D) 12 marbles

`

32. 1 kg of po ta to cost 25. If 3 kg of potatoes cost as much as 5 kg of carrots, how much will it cost to buy 12 kg each of potatoes and carrots? (A) ` 400 (B) ` 180 (C) ` 480 (D) ` 300 33. Garima and Latika had an equal number of marbles. Garima gave 35 marbles to Latika. How many fewer marbles did Garima have than Latika now? (A) 35 (B) 76 (C) 105 (D) 70 34. Ms. Megha needs 96 eggs for cake. In shop A, the cost of a carton of 12 eggs is `

18 while in shop B, cost of 12 eggs is

the eggs and how much will she save? (A) Shop A and ` 18 (B) Shop B and 35. A toy soldier costs

`

`

24

`

15. From which shop should she buy

(C) Shop B and ` 26 (D) Shop A and

28 more than a toy policeman. If the cost of the two toys is

1290, how much does the toy policeman cost? (A) ` 539 (B) ` 659 (C) ` 631 `


(D)

`

531

`

15

Class 4 7th

Set A Year 2013

7th IMO - Set A

2

LOGICAL REASONING

1.

Which wo rd CA NNOT be mad e fro m the le tters of th e giv en wo rd? EXPERIMENTAL A.

2.

B. RELAX

ACE

B. DFH

A.

C. IKM

D. NPS

9000

10000

10100

B. 9100

?

9200

C. 10000

D. 11100

If in a cert ain cod e '97452' i s writ ten as 'PRIM E', '50 3' is w ritte n as 'M UG' an d '681 3' is written as 'TANG', then how will '304687' be written in the same code? A.

5.

D. METHANE

Complete the number pattern given below.

11000

4.

C. METER

Three of th e follo wing f our are alike in a certain way an d so fo rm a group. C hoose the odd one out. A.

3.

PARENT

GUTIAR

B. GUIATR

C. GUITAR

Select a gure from the options which forms th e correct mirror image of Fig. (X), if the mirror is placed along MN.

A.

B.

C.

D.

Space for Rough Work

D. GUITRA

7th IMO - Set A

6.

7.

Select a gur e from the options in which Fig. (X) is embedded as one of its part.

A.

B.

C.

D.

Riya sc ored m ore tha n Mohit . Yash sco red as much a s Tarun. An jali scor ed less than Priti. Mohit scored more than Yash. Priti scored less than Tarun. Who scored the highest? A. Anjali

8.

3

B. Riya

C. Yash

D. Mohit

Look at the given gure. Wh ich point is to the South of Point Q? A.

Point P

B. Point S C. Point F D. Point B 9.

Which line is the line of symmetry of the given gure ? A. B. C. D.

AB CD EF GH

10. If the give n matrix foll ows a certai n rule row- wise or column-wise, then nd the missing number. A. B. C. D.

112 82 14 31 Space for Rough Work

8

4

12

10

15

1

74

?

145

7th IMO - Set A

4


11. The given gure is obtained by removing some small squares from a big rectangle. The length of one side of a small square is 2 cm. Find the perimeter of the gure. A. B. C. D.

28 cm 42 cm 56 cm 160 cm

12. The smal lest num ber of squar es that mus t be shaded so th at the gure has a line of symmetry is _____. A. B. C. D.

2 3 4 5

DIRECTION (13-14) : The given graph shows the number of boys and girls enrolled in four tuition centres. Study it carefully and answer the following questions.

13. Which tuition centre has the highest enrollment of students? A.

P

B. Q

C. R

D. S

14. What would be the total number of st udents at tuition centr e P, if another 46 students want to enrol in it? A.

256

B. 296

C. 346 Space for Rough Work

D. 356

7th IMO - Set A

5

15. What fraction of the given gure is shaded? A. B. C. D.

1/2 3/7 4/7 5/7

16. How many t imes mu st 40 be add ed to itse lf to get 200 000? A.

100000

B. 80000

C. 40000

D. 5000

17. What is t he miss ing numb er in the nu mber line ?

52134

52534

52934

53334

53734

? A.

53049

B. 53490

C. 53094

D. 50934

C. 48713

D. 48731

18. Find th e sum of 4 08, 90 10 and 3 8413. A.

43781

B. 47831

19. There are _______ symmetrical gures and _______ non-symmetrical gures.

A.

2, 4

B. 4, 2

20. Express

5 of a day in hours. 12

A.

2 hours

B. 10 hours

C. 5, 1

D. 3, 3

C. 12 hours

D. 22 hours


21. A box contains 86 compact discs. A fac tory shipped out 12 boxes of compact discs. Find the total number of compact discs shipped out. A.

1302

B. 1032


D. 1320

7th IMO - Set A

6

22. Mohit has 245 more marbles tha n Rohit. If Rohit has 1429 marbles , how many marbles do they have altogether? A.

3116

B. 2874

C. 1345

23. 120 adul ts and 345 chi ldren we nt to a concert. If eac h person pai d they pay altogether? A.

`

162750

B.

`

162780

C.

`

106278

D. 3103 `

350, how much did

D.

`

160275

1 of it to her neighbour and ate 2

24. Mrs. Pr iya bake d a choco late ca ke. She ga ve

1 of it. 4

What fraction of the cake is left with Mrs. Priya? A.

1 2

B.

1 7

C.

1 4

D.

1 8

25. Garima had ` 42700 in the bank. She put in another ` 250. How much more money must she put in, if she wants to have a sum of ` 60000? A.

`

17800

B.

`

17050

C.

`

14080

D.

`

10480

1 26. Anuj' s weigh t is 64 kg an d his si ster is 1 times to his weight. What is the total weight 4 of both of them? A.

109 kg

B. 102 kg

C. 112 kg

D. 144 kg

27. Latika started her part time job at 9:30 and nished at 17:45. Her tea break was 45 minutes long. How much time did she spend doing her job? A.

7 hrs 45 mins

B. 7 hrs 30 mins

C. 8 hrs 15 mins

D. 8 hrs 30 mins

28. There are 18 pupils in a queue. If the distance between two pupils is 80 cm, how long is the queue? A.

1063 cm

B. 1036 cm

C. 1630 cm

D. 1360 cm

29. Raj scored a total of 267 marks for three subjects in the Mid-year Examination. He obtained 80 marks for English and 94 marks for Science. How many marks did he score for Mathematics? A.

80

B. 93

C. 89

D. 94

30. Mrs. Beena had 4 kg of our. She used 3 kg 60 g our to bake some cakes. How much our had she left? A.

930 g

B. 940 g

C. 40 g Space for Rough Work

D. 960 g

7th IMO - Set A

7

ACHIEVERS SECTION

31. What is the number represented by

28

?

40

A. B. C. D.

6 8 10 16

30 30

48

20

32. What is the weig ht of marble P?

A.

300 g

B. 250 g

C. 240 g

D. 350 g

33. Find the sum of the shaded p arts below and expr ess the answ er as a mixed n umber. +

A.

3

1

B.

2

3

+

1

+

C.

8

2

3 4

?

=

D.

2

1 2

34. Which o f the follow ing sta temen ts is CORR ECT? A.

3965

÷

8 leaves a remainder of 5.

C. Sum of 1

3 3 1 +2 is 2 + 1 . 4 8 8

B.

3 1 is greater than but less than 1 . 4 5 3

D. There are 86 hundreds in 86439.

35. Which of the following is the greates t 1-digit n umber that has 4 factors? A.

6

B. 7


D. 9

Class 4 7th

Set B Year 2013

7th IMO - Set B

2

LOGICAL REASONING

1.

How many unit cubes are there in the given gure? A. B. C. D.

2.

3.

18 19 20 17

Find the odd one out. A. BCDE B. PQRS

C. WXYZ

Look at the given number-letter codes. Number

5

Lettercodes

1

X

L

3 M

The code for 430521 is ______. A. BDFMXP B. BMDXPL 4.

D. STUW

0 D

2 P

4 B

C. BMDXLP

7 F D. BMXPDL

Select the com binat ion of n umber s so th at let ters a rrange d acco rding ly form a mean ingful word. PIGRSN 123456

A. 5.

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

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

Find the m issing n umber, if a mat rix fo llows ce rtain tr end row-wise or column-wise. A. B. C. D.

6.

1, 4, 5, 2, 3, 6

10 5 6 3

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

18

4

11

16

18

17

8

2

?

How ma ny 6's are there in the g iven s eries , each o f which is imm ediat ely fol lowed b y 3 but not preceded by 7? 12635986763485163456736534 A. None B. One C. Two D. Three Space for Rough Work

7th IMO - Set B

7.

3

Which of the fol lowing s hapes i s NOT emb edded in Fig. (X) ?

Fig. (X) A.

8.

B.

C.

D.

Which of the following numbers is the wrong term in the given series? A.

15389

B. 16489 14389

C. 17589 D. 18989 9.

15389

16489

17589

18989

There is a denite relationship between gures P and Q. Establish a similar relationship between gures R and S by selecting a suitable gure from the options that would replace the (?) in Fig. (S).

? P

A.

Q

B.

R

S

C.

D.

10. If Mohi t is facin g north- east an d he makes an anti-clockwise facing now? A.

3 4

Library

-turn, where will he be

Park BusStop

Post Ofce

Swimming Pool Bank Petrol

B. Petrol Pump

Post Ofce

C. Park D. Shopping Mall Space for Rough Work

Pump Shopping Mall

7th IMO - Set B

4


11. What is the sum of the rst and second common multiple of 4 and 6 ? A.

36

B. 144

C. 72

D. 288 8 cm

12. Rohit us ed a piece of wir e to form the giv en shap e. What was the length of wire that he had used? A. 23 cm B. 25 cm C. 32 cm

2 cm

2 cm 2 cm

7 cm

D. 34 cm 13. Which of the following squares must be shaded so that the given gure is symmetrical? A. B. C. D.

P

P Q R S

Q

R

S

DIRECTION (14-15) : Study the given table carefully and answer the following questions. Number of books borrowed by each pupil

0

1

2

3

4

Numberofpupils

98

136

184

95

28

14. What is the total number of books borrowed during the week? A. B. C. D.

443 901 541 999

15. How many pupils borrowed more than 2 books? A. B. C. D.


7th IMO - Set B

5

16. Select the INCOR RECT match . A. B. C. D.

LVIII = 58 CII = 102 XCVIII = 108 LXII = 62

17. Sheela reached the library at 12 : 05. The bus ride t o the Library lasted 45 minu tes. At what time did she board the bus ? A.

11 : 20 a.m.

B. 12 : 50 a.m. C. 11 : 20 p.m. D. 12 : 50 p.m. 18. 43 thou sands l ess tha n 47374 3 is ____ _. A. B. C. D.

43000 430743 443074 437430

19. Find the v alue of P – Q + R in the num ber line sh own below . P 5 A.

6

2 5

R 6

B.

7

3 5

Q

7 C.

8 2

4 5

D.

7

2 5

20. There is a numb er between 80 and 90 . When the numbe r is divided by 7, it leaves a remainder of 5. What is the twice of that number among the given options? A. B. C. D.


7th IMO - Set B

6


21. There wer e 180 apples in a box. 15 of them were rot

ten and the rest wer e packed into

packets of 8. How many packets of apples were there in the end? A.

20

B. 21

C. 22

D. 23

22. Sarah bought 6 boxes of mu ffins. The re were a dozen mu ffins in each box . Her friends ate some and there were 5 muffins left. How many muffins were eaten by her friends? A.

18

B. 31

C. 67

D. 77

23. Harsh placed 14 c hairs in a row at equal dis tances. The dis tance betwe en the first and fourth chair was 6 m. What was the distance between the fourth chair and fourteenth chair? A.

20 m

B. 26 m

C. 22 m

D. 24 m

24. Akshat needs 7 2 ice-cream s for a party . For every 5 ice-crea ms he buys, he gets one free. How many ice-creams will he need to buy for? A.

70

B. 55

25. In a ra ce, M ohit ran

1 5

C. 65

km, jogged

1 10

km and walked

he covered? 5

B.

km

2 5

km. What was the total dist ance

7

4

3

A.km

D. 60

C.

5

4

km 10

D.

10

km

26. An aeropla ne took off at 1 0 : 20 p.m. It flew for 1 h our and 35 minu tes. At what t ime did the aeroplane arrive at its destination? A.

11 : 55 p.m.

B. 1 : 55 p.m.

27. Ajay buys a piggy bank. He has

C. 11 : 55 a.m.

D. 1 : 55 a.m.

52 one rupee coin s, 26 fifty pais e coins and 32

twenty-five paise coins. How much money does he have? 74 A.

`

B.

73

`

C.

68

`


D.

`

80

7th IMO - Set B

7

28. Of his collection of books, Sandeep ga ve 350 books to th e local library and 25 books to each of his 7 grandchildren. How many books did Sandeep had in his collection? A.

530

B. 425

C. 525

D. 500

29. Shruti had 52 6 stamps in her co llection. If each p age in her album can h old 25 stamps , how many pages has she used if all the stamps are pasted in the album? A.

20

B. 23

C. 21

D. 22

30. A school field measur es 42 m by 36 m. How far does Lat ika run if she runs 4 time s round the field? A.

624 m

B. 524 m

C. 182 m

ACHIEVERS SECTION

31. Find the pe rimeter of th e given figu re, if all t he sides ar e of length 3 tens – (10 ones + 4 ones) cm. A.

110 cm

B. 128 cm C. 138 cm D. 150 cm

32.

2 3

A. B.

of 6 m is same as ______. 2 3 1 3 2

C. D.

× 1m +

3 2 3

×

5m+

2 3 1 3

×

5m

× 1m

2 2 mm × ×m ×× m×m m 3 3

2

2

2

3

3

3

2 2 mm + +m ++ m+m m 3 3

2

2

2

3

3

3


D. 156 m

7th IMO - Set B

8

33. A number that is less than 100 is a common multiple of 6 and 8. The sum of its digit is 9 but the difference between them is 5. What is the number? A.

45

B. 72

C. 84

D. 94

34. Which of the following statements is INCORRECT? A. 8/12 lies between 1/12 and 3/4. B. 5 ten thousands, 48 tens, 16 ones written in numerals is 50496. C. 56 × 36 is same as 50 × 36 + 6. D. A square has 4 lines of symmetry. 35. Aarav started working in the m orning as shown on the clock. He stopped working after

9

3 4

hours. When did Aarav stopped working?

A. 4 : 55 p.m. B. 5 : 12 p.m. C. 4 : 58 p.m. D. 5 : 02 p.m. Space for Rough Work

Class 4 8th

Set A Year 2014

A I

SET 8th

-

MO

1

LOGICAL REASONING 1.

Mohit was facing the library. He made a 3/4 turn anticlockwise. Where would he be facing? A.

School Ofce

Library

O f ce

Lib ra ry

Park House

B. Home C. Hospital

Park

D. Ofce 2.

Hospital Police station

Given below is the folded form of paper. Which of the following is t he correct gur e when the paper is unfolded along the dotted line?

A.

3.

Post ofce

Mohit

B.

C.

D.

Which of the following gures will continue the given gur e pattern? ___ ?__

A. 4.

B.

D.

Find the missin g number, if a certain ru le is followe d in the given gure. A. 342 456 C.

5.

C.

25 26

B. 339 135 D.

24

27

?

318 332 325

Find the m irror image of gure (X), if the mirr or is placed along the dotted line MN . Figure (X)

M

N

A.

B.

C. Space for Rough Work

D.

8th IMO - SET A

2

6.

In a pl ay com petit ion, th ere are 5 na lists . Priya : She has only one girl behind her. Beena : She is not the rst. Garima : She is just after Latika. Megha : She is just before Priya. _____ and ____ stood at rst and last positions respectively. A.

7.

Garima, Latika

C. Garima, Megha

D. Megha, Beena

Which of the following gures is symmetrical along the dotted line?

A.

8.

B. Latika, Beena

B.

C.

D.

Select a gur e in which shape (X) is exactly em bedded as one of its part.

(X) A.

9.

B.

C.

D.

Varun, Tarun and Akash are standing i n a qu eue. ● Varun is standing at one of the ends. ● There are ve persons between Varun and Akash. ● Tarun is standing midway between Varun and Akash. How many people are standing in a queue? A.

5

B. 6

C. 7

D. 8

10. Some letters ar e given which are number ed 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combination of numbers so that letters arranged accordingly form a meaningful word. A U I G R T 1 2 3 4 5 6 A.

4, 3, 5, 6, 1, 2

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

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


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

A I

SET 8th

-

MO

3

MATHEMATICAL REASONING 1

11. How many m ore sq uares must be sh aded so tha t

A.

1

B. 2

3

of the gure is shaded?

C. 3

D. 4

12. The difference between (eighty s ix thousand and forty) and (seven thousan d nine hundred and sixty four) is _______. A. 80686 B. 78076

C. 67607

D. 70976

13. The common factors of 40 and 96 which are also multiples of 4 ar e ______. A.

4, 8, 12, 16

B. 4, 8

C. 1, 4, 8

D. 1, 4, 40, 96

14. Find the values of X, Y and Z respectively in the given multiplication problem. A. B. C. D.

2, 7, 2, 7,

7, 3, 7, 4,

9 6 8 6

2 4 6

+

3 X

8 9

1 Y Z

4 6 0

2 0 2

20 cm

15. Find the perimeter of the given gure (not drawn to scale). A.

2 ×

5 cm

88 cm 24 cm

B. 93 cm

16 cm

C. 98 cm D. 103 cm

8 cm

16. Which of the following gures has only two lines of symmetry?

A.

B.

C.


D.

13 cm

8th IMO - SET A

4

17. Latik a is practi cing for a rac e. She use s the give n map to nd the possible routes. The route must start from her school and end at home. She wants to run the shortest route. Which of the following is the best route? A. School – Park – Bank – Home B. School – Lake – Home C. School – Library – Lake – Home D. School – Library – Museum – Home

nk Ba

2 km

Park

Home

3 km

Bank

Lake

6k

m

1 km

4 km School

Museum 5 km

3

m k

4 km

Library

2 km Lib ra ry

3 km

18. The numb er shown in the aba cus is rea d as ______ ____.

HThT Th

A. B. C. D.

Th

H

T

O

Five hundred forty two thousand seven hundred and ninety six. Five ten thousand forty two hundred thousand seven hundred ninety six. Five lakhs forty two thousand seven hundred ninety six. Fifty four thousand two thousand seven hundred ninety six.

19. Which of the following statements is INCORRECT? A. B. C. D.

V, L, D can never be subtracted while writing roman numerals. Symbol I can be subtracted from V and X only once. X cannot be subtracted from L. None of these

20. The weigh t of each of th e 6 identic al balls is _ ___. 500 g 500 g

A.

250 grams

B. 350 grams

500 g

C. 450 grams


D. 500 grams

A I

SET 8th

-

MO

5

EVERYDAY MATHEMATICS 21. Shonali started play ing the piano at 14:45. She played for 45 minutes before starting her homework. If Shonali nished doing her homework at 5:30 pm, how long did she take to nish her homework? A. 2 hours C. 3hours

B. 2 hours 30 minutes D. 3hours30minutes

22. There were 160 balls in a box. 50 of the balls were red. There were 5 more red balls than green balls. The rest of the balls were blue. How many blue balls were there? A.

44

B. 52

23. There are

5

1 4

C. 55

m red cloth in the shop and

2

2 3

D. 65

m red cloth is sold. How much cloth

is left? A.

3

1 2

m

B.

2

8 9

m

C.

3

1 3

m

D.

2

7 12

m

24. On Friday , 6759 people watched the football match. On Saturday , the attendance was 8513 and on Sunday, the attendance was 9876. How many people in all watched the match on three days? A.

25184

B. 25148

C. 21548

D. 21584

25. Two candidates contested an election. 83,457 votes were polled in all. 49,682 votes were polled in favour of one candidate and 2,974 votes were found invalid. How many votes were polled in favour of the other candidate? A.

30,711

B. 30,811

C. 30,801

D. 38,001

26. Each day 31 airplanes depart from an airport. If same number of planes depart on each day, then how many planes depart in a year (365 days)? A.

11315

B. 13115

C. 15131

D. 18132

27. The book stor e-kee per orders 25 boo ks of Mathem atics for ` 90 each and 32 books of Hindi for ` 80 each. How much does he have to pay in all? A. 4830`

B.

8480`

C.

4810 `


D.

`

5210

8th IMO - SET A

6

28. Sneha has 4 m 30 cm of cloth. If she needs on ly 2 m 70 cm of cloth to m ake a dress, then how much cloth will remain after making the dress? A.

2 m 60 cm

B. 1 m 60 cm

C. 1 m 30 cm

D. 5 m 60 cm

29. A train leaves Delhi at 11:00 a.m. and reach es Ambala at 2:20 p.m. How long is the journey? A.

3 hrs 20 mins

B. 4 hrs 40 mins

C. 4 hrs 10 mins

D. 4 hrs 20 mins

30. Neha spent her holidays of 6 weeks 2 days in Kerala, Jaipur and Goa altogether. She stayed in Kerala for 1 week 3 days and in Jaipur for 2 weeks 6 days. How much time did she spend in Goa? A.

2 weeks

B. 14 days

C. 1 week 5 days

D. Both A and B

ACHIEVERS SECTION 31. Sanch i thinks of two numbers. • The difference between the numbers is 8. • The product of the numbers is 128. • Both the numbers are even numbers. What is the sum of the value of numbers and value of smaller number? A.

28, 4

B. 24, 8

C. 32, 8

D. 24, 16

32. The given table s hows the amount spent by Vansh and Veer in a month . Items

Vansh (in

`)

Veer (in `)

Food

2450

2560

Transport

1120

1160

Shopping

?

?

Insurance

300

250

Miscellaneous

1450

1850

Total

6000

6200

Who spent more on shopping and by how much? A.

Veer,300 `

B. Vansh,

380 `

C. Veer,


250 `

D. Vansh,

`

300

A I

SET 8th

-

MO

7

33. Two rectangles and a square f orm the gi ven gure. The length of rectangle P is thrice that of square R. Find the perimeter of the entire gure. A. B. C. D.

100 cm 25 cm 50 cm 40 cm

R

m c P Q 5 1

34. 64 thousands 80 hundreds 75 tens – 17 thousands 9 2 hundreds 68 tens 19 ones = ____. A.

45831

B. 45841

C. 45851

35. Read the given clues and nd out the answer. As I was passing by, I saw four men walking together having 2 kids. Each kid had two bags. In each bag, there were four dogs. Every dog had four puppies. How many eyes were there altogether? A. 174 B. 108 C. 178 Space for Rough Work

D. 45861

D. 184

Class 4 8th

Set B Year 2014

B I

SET 8th

-

MO

1

LOGICAL REASONING

1.

Select the correct mirror image of Fig. (X).

A. 2.

B.

C.

D.

How ma ny tri angles are there in the given gure? A. 11 B. 12 C. 10 D. 14

3.

If Nisha is 2 nd from the left end and Preeti is 3 rd from the right end, and 4 girls are standing between them, then number of girls in the row is ________. A.

4.

10

B. 11

C. 8

D. 9

Which of the following shows the correct gur e when the paper given below is unfolded along the dotted line?

A.

5.

B.

C.

Latika is facing towards her home. How many turns she must move in the clockwise direction to face the school? A.

5/4

B. 3/8 C. 5/8 D. 3/4 Space for Rough Work

D.

8th IMO - SET B

2

6.

Which of the following gures has exactly four lines of symmetry?

A. 7.

Only (v)

B. Both (ii) and (iv)

C. Both (iii) and (iv)

D. Only (ii)

There is a denite relationship between Fig. (i) and (ii). Establish a similar relationship between Fig. (iii) and (iv) by selecting a suitable gure from the o ptions which will replace the (?) in g. (iv).

A.

8.

B.

C.

D.

Study the given arrangement carefully .

Which ower is second to the right of sixth ower from the left end? A.

9.

B.

C.

D.

Select the gur e from th e options which when placed in blank space of Fig. (X) would complete the pattern.

Fig. (X) A.

B.

C. Space for Rough Work

D.

B I

SET 8th

-

MO

3

10. In which of the following options, Shape (X) is exactly embedded as one of its part?

Shape (X) A.

B.

C.

D.


11. What fraction of the gure is unshaded ? A. 3/8 B. 1/4 C. 1/2 D. 1/3

12. Weight of a pineapple is ______ g. A.

33

B. 22 C. 28 D. 9 13. Mohit went for swimming at 2:30 pm and returned back home he came back home is ______.

A.

B.

C.

14. The perimeter of the given gure (not drawn to scale) is 65 cm. Find the length of PY. A. 3 cm B. 4 cm C. 5 cm D. 2 cm Space for Rough Work

31 2

hours later. The time

D.

8th IMO - SET B

4

15. Fill i n the c orrect s ign. LXXVI + XLIII – XV

LXXXVII – LIV + X

A. > C. =

B. < D. Can't be determined

16. 12 thousands + 12 hundreds + 12 tens + 12 = _________. A.

12228

B. 12252

C. 13308

D. 13332

17. Which of the following numbers has the least number of factors? A.

12

B. 15

C. 13

D. 20

18. In 46832, the place value of the digit '6' is how many times as much as the place value of the digit '3'? A.

2

B. 20

C. 200

D. 2000

19. Which of the foll owing is NOT equal to 84 × 47? A.

80 × 47 + 4 × 47 B. 84 × 40 × 7

C. 84 × 40 + 84 × 7 D. 82 × 47 + 2 × 47

20. The given table shows the number of chairs sold by 2 factories over a period of 4 months. Months

FactoryP

FactoryQ

September October

2545 1864

1389 1354

November

900

1268

December

1217

2513

How many more chairs did factory Q sell than factory P in December? A.

1864

B. 1183

C. 1296

D. 1543


21. Sanchi ea rned ` 1500 in 5 days. She spent 3/10 of it and saved the rest. If she earns equal amount of money everyday, then how much did she save in a day? 40 A.

`

B.

210

`

C.

450

`


D.

`

1050

B I

SET 8th

-

MO

5 st

22. Mr. Kapoor lled 3L 500mL petrol in his car on 1 December, 2L 750 mL on 5 th December th and 4L 250 mL on 9 December. How much petrol did he ll in his car in the rst week of December? A.

6 L 250 mL

B. 10 L 500 mL

C. 1 L 500 mL

D. 105000 mL

23. Last year, Mini celebrated her twelfth birthday . This year , her brother is twice as old as Mini. How old will be her brother in three years time? A.

26 years

B. 27 years

C. 29 years

D. 32 years

24. Varun has some stickers. He can share them equally with 6 friends. He can also share them equally with 8 friends. What is the fewest possible number of stickers he can have? A.

12

B. 32

25. Rohan's school is

2

1 2

C. 24

kilometres from his house. He cycles this distance daily. One day,

his cycle tyre got punctured after he had gone he had to walk? A.

1

3

km

4

D. 48

B.

2

1

C.

km

2

26. Saurabh bought 56 kg 500 g

1

1 4

3

3

kilometres. What was the distance km

4

of rice from one shop

D.

1

1

km

4

and 48 kg 750 g of rice from

another. How much rice did he buy? A.

105 kg 150 g

B. 105 kg 250 g

C. 250 kg 105 g

D. 1052500 g

27. In a farm, ther e are 9 hens and some cows. If t here are 26 legs altogether , how many cows are there? A.

5

B. 6

C. 4

D. 2

28. If one notebook contains 260 pages, how many pages do 185 notebooks contain? A.

4450

B. 4810

C. 48100

D. 5100

29. 4600 people were to be transported in 100 buses. How many people could 1 bus carry, if each bus carry equal number of people? A.

46

B. 460


D. 200

8th IMO - SET B

6

30. Gautam wakes up at 6:15 a.m., takes 45 minutes to get dressed, 12 minutes to eat breakfast and 20 minutes to reach school. At what time does he reach the school? A.

7:30 a.m.

B. 7:32 a.m.

C. 7:28 a.m.

D. 7:35 a.m.

ACHIEVERS SECTION

31. The given bar graph shows the favourite ice-cream avours of a

group of children.

_____ of the children prefer strawberry avour.

A.

1/4

B. 1/5

C. 1/6

D. 4/15

32. Alia is thinking of a fraction. The numerator is 4 more than the denominator . The numerator and the denominator have only three common factors 1, 2 and 4. The denominator is a number greater than 4 but smaller than 10. What is the fraction Alia is thinking of? A.

4/8

B. 8/4 P

33. Find the value of A.

C. 12/8

D. 16/12

−Q +R

1

.

S

38

3

)

19

P

72954

(

−38

349 −3 Q

B. 4

2 75

−

C. 6

38

3R 4 −

D. 7

S 2

34. The movie tickets of 8 people cost A.

`

342

300

B.

`

5000

`

1000. What will be the cost of 24 tickets? C.

`

3000


D.

`

4500

B I

SET 8th

-

MO

7

35. The given gure (not drawn to scale) is made up of square PQRS and a rectangle LMNO. LR is thrice the length of LQ. LM = RO. (a) Find the sum of PS and RO. (b) Find the length of LM. (a) (b) A. B. C. D.

12 cm 16 cm 12 cm 14 cm

6 8 8 6

cm cm cm cm Space for Rough Work

Class 4 9th

Set A Year 2015

LOGICAL REASONING

1.

Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four option s containing combinations of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word.

A. 2.

6, 2, 3, 5, 4, 1

L

E

D

G

2

3

4

5

6

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

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

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

B.

C.

D.

If ‘Chocolate’ means ‘Toffee’, ‘Toffee’ means ‘Cake’ and ‘Cake’ mean s ‘Butter’, then what is cut on birthday? A.

4.

O

1

Selec t the odd one out. A.

3.

N

Cake

B. Butter

C. Toffee

How ma ny pos sible combin ations of 1 co lor and 1 dress is possible from the given colors and dresses? A.

12

B. 35

D. Chocolate Dress

Color

Frock

Blue

Saree

Red

Suit

Black

C. 21 D. 49 5.

White

Which of the following gur e is obtained when Figure (X) is folded along the dot ted line?

Figure (X) A.

B.

C.

D.


2

| 9th IMO | Class-4 | Set-A | Level 1

6.

Find the mirror image of Figure (X), if the mirror is placed along MN. M

Figure (X) N A.

7.

B.

C.

D.

In which of the following gures, Figure (X) is exac tly embedded as one of its part?

Figure (X) A.

8.

B.

C.

Study the adjoining diagram carefully .

D.

Police Station

Library

Mohit is facing towards Park. If Theatre and Hospital interchange their positions, and Mohit takes

1 4

Hospital

turn anticlockwise,

then he will be facing towards ________. A.

Office

Park

Book Store

Mohit

B. Theatre C. Police Station

Mall

D. Hospital 9.

Theatre

MTG

Park

Mall

Find the m issing number , if a certain rule is followed in all the three gures. 15 6

A.

8

B. 9

12 12

8

10 13

?

C. 12

14

D. 13


9th IMO | Class-4 | Set-A | Level 1 |

3

10. Read the information carefully. ● Manu is taller than Chinku. ● Tanu is taller than Chunnu. ● Chunnu is taller than Manu. Who among the following is the tallest? A.

Manu

B. Chinku

C. Tanu

D. Chunnu


11. Find P, Q, R and S respectively. A.

1, 6, 1, 4

_

P 4 6 2 5 4 S

_

R 8 5 1 7 Q

44

B. 1, 4, 6, 1 C. 1, 4, 1, 6

9

D. 4, 1, 1, 6 12. How many multiples of 10 are there from 20 to 150? A.

13

B. 14

C. 15

D. 12

13. 94560 in words is written as _________. A.

Ninety-four hundred and fty-six

B. Nine thousand, four hundred and fty six

C. Nine thousand, ve hundred and sixty

D. Ninety-four thousand, ve hundred and sixty

14. What fraction of the owers are red? A.

9/20

B. 1/2 C. 1/4 D. 19/40 15. If

+ +

A.

25

+ +

+ +

+

= 125 and

=

+ 4, then nd the value of

. B. 45

C. 50

D. 92


4


16. If the weigh t of each A.

33

B.

22

is same, then weight of

is ______ g.

0 g

25

C. 28

20

D. 9 17. The bar graph shows the savings of ve children. Akansha needs to save another ______ so that she has twice as much money as Mohit.

15

5

0 g

25

10

20

15

5 10

Kiran Jyoti Mohit

A. B.

` `

50 150

C.

`

100

D.

`

200

Akansha Shalini 0

50 100 150 20 0 250 300 350 400 Amount (in `)

18. How long did Varun take to complete his homework? A.

1 hr 45 mins

B. 1 hr 30 mins C. 1 hr 50 mins Start doing homework

D. 1 hr 40 mins 19. The given gure is made up of three rectangles.

5 cm A

Find the length of CD. A.

Completed homework

B

4 cm E

10 cm

F

?

B. 7 cm

D

C

C. 8 cm

G

H

D. 13 cm

17 cm

20. Figures (i) and (ii) shows two identical rectangles X and Y which are arranged differently. What is the difference between the perimeters of both the gures? A.

2 cm

B. 6 cm

2 cm

C. 4 cm

X

Y

10 cm (i)

D. 8 cm

X

Y

(ii)



5


21. The ight from Chennai to Dubai took off at 4:45 hours. It landed at Dubai at 9:15 hours. How long was the ight? A.

4 hrs 50 mins

B. 3 hrs 55 mins

C. 4 hrs 30 mins

D. 4 hrs 10 mins

22. Mrs. Latika bought 2 L 500 mL of milk. She used 750 mL to make coffee and fed her cat with 350 mL of milk. Find the quantity of milk that is left over. A.

1 L 100 mL

B. 2 L 50 mL

C. 2 L

D. 1 L 400 mL

23. The contents in Anaya’s school bag are given below. Text books – 675 g, Notebooks – 415 g, Pencil box – 175 g. If the empty bag weighs 205 g, calculate how much does the school bag weigh with its contents? A.

1 kg 520 g

B. 1 kg 470 g

C. 1 kg 220 g

D. 2 kg

24. In a bag, there were 5600 red beads and 6540 white beads. Kavya sold 3680 beads. How many beads were left in the bag? A.

12140

B. 6240

25. Charu had 36 cookies. She gave

C. 4620 1 9

D. 8460

of the cookies to her brother . How many cookies had

she left with her? A.

32

B. 28

C. 30

D. 16

26. Megha collected 324 seashells. She collected 78 more seashells than Beena. How many seashells did they both collected altogether? A.

246

B. 570

C. 492

D. 726

27. The total number of children in a class is 40. 7 children were absent on Monday. What fraction of the class was present on Monday? A.

7 40

B.

33 40

C.

40 7

D.

40 33


6


28. To decorate a banquet hall, 354 electric bulbs were bought. If the cost of each bulb is ` 28, what is the total cost of 354 electric bulbs? A. 9912`

B.

7660`

C.

4944 `

D.

`

9940

29. Garima travels 504 km to her ofce in a month. If she works for 28 days in the month, nd the distance she travels in one day. A.

9 km

B. 12 km

C. 18 km

D. 22 km

30. A music store sold 192 CDs every week. Find the number of CDs sold in 38 weeks. A.

5376

B. 6144

C. 8064

D. 7296

ACHIEVERS SECTION

31. Fill in the blanks. A multiple of a number is __P ____ small er than the number. A multiple o f an even n umber is __Q ____ odd. 1 is the __R____ of every number. P

Q

R

Never

Factor

B. Never

Never

Factor

C. Always

Always

Multiple

D. Never

Always

Multiple

A.

Sometimes

32. The figure shows the amount of water in 3 beakers at rst. Karan poured 150 mL of water from beaker P to beaker Q. He then poured 200 mL of water from beaker Q to beaker R. Finally, he poured 100 mL of water from beaker R to beaker P. Which one of the following statements is true? A.

500 mL

500 mL

500 mL

400

400

400

300

300

300

200

200

200

100

100

100

P

Q

R

Beaker P contained more water than the other beakers at the end.

B. Beaker Q contained more water than the other beakers at the end. C. Beaker R contained more water than the other beakers at the end. D. The three beakers contained the same amount of water at the end. SPACE FOR ROUGH WORK


7

33. Find P, Q, R and S respectively. A.

IX, XI, IV, II

_

B. II, III, VIII, IV

C. IV, VII, VIII, II

P 85 Q 3 RS 5 5 43 2

D. VIII, VII, IV, II

34. The gure is obtained by removing some small identical squares from a big rectangle. The length of each side of a small identical square in the obtained gure is 2 cm. Find the perimeter of the gure. A.

40 cm

B. 56 cm

C. 64cm

2 cm

D. 128cm

2 cm

35. The table shows the number of points scored by different teams at a sports meet. Which two teams had a total of 538 points?

A.

Team(s)

Yellow

Points

351

Green 187

Yellow and Purple B. Red and Purple

Red 308

Blue 402

Purple 298

C. Yellow and Green D. Red and Green


8


Class 4 9th

Set B Year 2015

logical reasoning

1.

Which of the following series is following the given rule? Rule : Number of letters skipped in between adjacent letters in the series decreases by one.

A.

TOJEZUP

B. VOIDZWU

C. IGECAYW

D. NKHEBV

2.

There is a denite relationship bet ween gures (i) and (ii). Establish the same relationship between gures (iii) and (iv) by selecting a suitable gure from the options that would replace the (?) in g. (iv). ? (i)

A.

B.

3.

(ii)

(iii)

(iv)

C.

D.

Which of the following will be the next term in the given number patt ern ?

A.

90

B. 65 C. 120

1

2

6

24

?

D. 29 4. A.

In a certain code, '14567' is written as 'LXR ZA' and '9823' is written as 'VPIC'. How will '94623' be written in the same code? VXZIA

5.

B. VXIAZ

C. VXAIZ

D. VXZIC

Which of the following s hows the correct mirror image of Fig. (X), if the mirror is placed along PQ? A.

P

B.

Fig. (X)

D.

Q


2

| 9th IMO | Class-4 | Set-B | Level 1

6.

Find the option which will complete the given gure pattern.

?

A.

B.

7.

C.

D.

In which of the following gures, Fig. (X) is exactly embedded as one of its part?

Fig. (X) A.

B.

8.

A.

C.

D.

Garima faces Mango tree, goes straight and takes a left turn to reach Orange tree. She again takes a left turn to reach Apple tree. In which direction is she facing now?

Mango tree

Orange tree

Island

North

Garima

B. East

Apple tree

C. West D. South 9.

Guavatree

Mohit’s birthday falls just after 3 rd Monday of August 20XX. On which date does Mohit celebrate his birthday? 23

rd

B. 22

nd

A.

Papayatree

August 20XX

August August

C. 15th August D. 20th August

Mon

Tue

1

2

Wed 3 10

Thu

Fri

4

5 11

Sat Sun 6

7

8

9

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31


9th IMO | Class-4 | Set-B | Level 1 |

3

10. Select the CORRECT match. Figure of symmetry

Number of lines

Figure of symmetry

A.

2

B.

1

C.

1

D.

4

Number of lines

mathematical reasoning

11. Which of the given gures has the least perimeter? A.

Fig. P

4 cm 5 cm

B. Fig. Q

2 cm

P

2 cm Q

2 cm

4 cm

2 cm

5 cm

C. Fig. R

2 cm

R

4 cm

4 cm

D. Can’t be determined 12. Which of the following gures has 2 pairs of parallel lines and 2 pairs of perpendicular lines? A.

B.

C.

D.

3

13. Which of the following gures represents B.

A.

5

2

− 5 shaded fraction? C.

D.

14. The number represented by the abacus is written in words as _______. A.

Twenty ve thousand three hundred and forty seven

B. Two ten thousands and ve thousand three hundred and forty seven C. Twenty ve thousand three hundred and seven

tt

t

h

t

o

D. None of these SPACE FOR ROUGH WORK

4


15. Shailesh is celebrating Diwali with his friends. He knew that recrackers can be burst only till 10 p.m. The time shown by the clock is the starting time when Shailesh starts bursting crackers in the night. For how much time can Shailesh and his friends enjoy bursting crackers? A.

20 minutes

B. 45 minutes

C. 40 minutes

D. 56 minutes

16. There are ___________ even factors of 48. A.

4

B. 5

C. 6

D. 8

17. Read the menu of a hotel and answer the question. mu

Item

Cost (in

Soup

30.00

Chips

Juice

10.00

Coffee

Pizza

70.00

Tea

Cutlet

`)

Item

12.00

Cost (in `) 10.00 3.00 2.00

Water bottle

12.00

Rohan has given a party to two of his friends. He bought 2 packets of chips, 1 pizza and 2 juices. How much he has to pay ? 150 A.

`

B.

100

C.

`

110

`

D.

`

120

18. Difference between the place values of 4 and 5 in the number given below is _____. 409500 A.

1

B. 399500

C. 39500

D. 39590

19. This is a part of biscuit packet wrapper. Which of these informations can be found out from this? A.

The number of biscuits in this pack

TIGER Biscuits Net. wt. 100 g MRP: ` 7

B. The price of each biscuit C. The total weight of biscuits D. The weight of each biscuit SPACE FOR ROUGH WORK


5

20. Find the symbol in the box. CX + XXXVI – XXIII A.

>

LX – XXXVIII + XI

B. <

C. =

D. Can’t be determined everyday mathematics

21. Shikha has

22 3

m of green ribbon and Priya has

7 3

m of yellow ribbon. Who has more

ribbon and by how much? A.

Shikha, 5 m

B. Priya, 5 m

C. Shikha, 7 m

D. Priya, 7 m

22. Samrat was given one week time to complete his geometry project. He realized that 3 days and 17 hours had already gone by. How much time is left for Samrat to complete his project? A.

3 days 7 hours

B. 3 days 9 hours

C. 4 days

D. 3 days 6 hours

23. Varun undertook a pilgrimage on foot. He walked 3 km 550 m on the rst day, 5 km on the second day and 2 km 675 m on the third day. Find the total distance he walked in the three days. A.

10 km 500 m

B. 10 km 225 m

C. 11 km 225 m

D. 11 km 500 m

24. Nimmi’s baby sister weighed 3 kg 250 g at birth. After a month she was found to be 4 kg 175 g. How much weight did she gain in a month? A.

820 g

B. 925 g

C. 1 kg 25 g

D. 1 kg 250 g

25. Vinay lled one-fourth of a glass with fruit juice and two-fourths with water. What part of the glass is lled? A.

1/2

B. 2/3

C. 3/4

D. 1/5

26. A restaurant can accommodate 2500 guests. If there are 931 adults and 602 children in the restaurant, how many more guests can be accommodated in the restaurant? A.

645 27. Mr. Das earns A.1,23,052 `

B. 792 `

C. 854

D. 967

9,876 per month. What would be his annual income? B.

1,11,082 `

C.

1,18,512 `

D.

`

1,25,432


6


28. Parking space in theatre P is for 79,407 cars, while the same in theatre Q is for 58,868 cars. How many more cars can be parked in theatre P than in theatre Q? A.

38,275

B. 21,549

C. 21,461

D. 20,539

29. 990 cold drink bottles are to be placed in crates. Each crate can hold 18 bottles. How many crates would be needed? A.

50

B. 55

C. 60

D. 65

30. A library has 35 shelves. Each shelf has 455 books. Find the number of books in the library. A.

15925

B. 15625

C. 14825

D. 13965

achievers section

31. Pinku, Ravi, Brijesh and Raghu are friends. The graph shows the toy cars each of them have. What can we conclude from the given graph? Pinku A. Brijesh has one-third the number of toy cars Pinku has. Ravi Raghu

B. Three children have more than 20 toy cars.

Brijesh C. Ravi has twice as many toy cars as Brijesh. 10 20 30 Number of toy cars

D. Brijesh has 1 toy car less than Raghu.

40

32. Match the fractional number (P) on number line shown in Column-I with fraction in Column-II.

umn-I

Column-II (a) (b) (c) (d) A.

(P)

0

p.

1 (P)

0

1 (P)

0

1 (P)

0

1

(a)

→

C. (a)

→

7 10 2

q.

10

r.

10

s.

10

3

5

p, (b)→q, (c)→r, (d)→s

B. (a)→s, (b)→q, (c)→p, (d)→r

s, (b)→r, (c)→q, (d)→p

D. (a)→r, (b)→s, (c)→q, (d)→p SPACE FOR ROUGH WORK


7

33. Which of the following statements is INCORRECT ? A.

1 is a factor of every number.

B. Every multiple of a number is greater than or equal to the number. C. The greatest factor of every number is the number itself. D. Number of factors of any number are always one more than the number. 34. Rahul took 162 sweets to school on his birthday. He distributed all sweets to the 32 children in his class equally. How many sweets did each child get? How many sweets were left with him? A.

5, 2

B. 2, 8

C. 9, 5

D. 5, 7

35. Which of the following gures have same perimeter? 42 cm 18 cm

18 cm

(i)

6 cm

(ii)

8 cm

22 cm

2 cm

2 cm 8 cm 28 cm

4 cm

(iii)

12 cm

2 cm 16cm

16cm

14 cm

A.

(ii) and (iii)

B. (i) and (iii)

C. (i) and (ii)

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


8


ANSWER KEYS 5TH IMO (2011) 2.

21.

(B) (B) (A)

31.

(B)

1. 11.

3.

22.

(D) (D) (A)

32.

(D)

12.

4.

23.

(B) (B) (D)

33.

(A)

13.

5.

24.

(D) (B) (C)

25.

(B) (B) (A)

34.

(B)

35.

(C)

14.

15.

6. 16. 26.

(C) (C) (C)

8.

27.

(C) (D) (B)

7. 17.

9.

28.

(B) (D) (B)

18.

10.

29.

(B) (C) (A)

30.

(C) (B) (C)

19.

20.

6TH IMO (2012) 1.

(B)

2.

(A)

3.

(D)

4.

(B)

5.

SET A (A) 6.

(A)

7.

(C)

8.

(B)

9.

(A)

10.

(C)

11. 21.

(C) (D)

12. 22.

(A) (B)

13. 23.

(A) (B)

14. 24.

(C) (D)

15. 25.

(A) (C)

(A) (A)

17. 27.

(C) (B)

18. 28.

(C) (C)

19. 29.

(D) (C)

20. 30.

(D) (B)

31.

(B)

32.

(D)

33.

(A)

34.

(D)

35.

(C)

1.

2.

(D) (B) (D)

(D) (A) (B)

8.

(C) (A) (A)

9.

(B) (C) (C)

10.

25.

(D) (B) (B)

7.

24.

(B) (D) (B)

5.

23.

(A) (C) (C)

4.

22.

(C) (C) (D)

3.

21.

(C) (A) (C)

(D) (D) (A)

31.

(C)

32.

(C)

33.

(D)

34.

(B)

35.

(C)

(B) (C) (B)

8.

(B) (B) (D)

9.

(A) (D) (B)

10.

(A) (A) (B)

8.

(C) (B) (C)

9.

(A) (A) (D)

10.

(C) (D) (C)

8.

(C) (A) (B)

9.

(C) (C) (A)

10.

(D) (C) (D)

8.

(D) (C) (C)

9.

(B) (B) (A)

10.

(D) (A) (B)

8.

(D) (D) (A)

9.

(B) (C) (C)

10.

(C) (C) (C)

8.

(D) (B) (D)

9.

(B) (C) (B)

10.

16. 26.

SET B

11.

12.

13.

14.

15.

6. 16. 26.

17. 27.

18. 28.

19. 29.

20. 30.

7TH IMO (2013) SET A 1. 11. 21. 31.

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

2.

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

2.

12. 22. 32.

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

3.

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

3.

13. 23. 33.

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

4.

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

4.

14. 24. 34.

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

5.

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

5.

15. 25. 35.

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

6. 16. 26.

(B) (D) (D)

7.

(C) (C) (A)

7.

17. 27.

18. 28.

19. 29.

20. 30.

(D) (B) (B)

SET B 1. 11. 21. 31.

12. 22. 32.

13. 23. 33.

14. 24. 34.

15. 25. 35.

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

6. 16. 26.

17. 27.

18. 28.

19. 29.

20. 30.

(B) (D) (A)

8TH IMO (2014) SET A 1. 11. 21. 31.

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

2.

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

2.

12. 22. 32.

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

3.

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

3.

13. 23. 33.

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

4.

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

4.

14. 24. 34.

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

5.

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

5.

15. 25. 35.

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

6. 16. 26.

(B) (D) (A)

7.

(B) (D) (B)

7.

17. 27.

18. 28.

19. 29.

20. 30.

(D) (A) (D)

SET B 1. 11. 21. 31.

12. 22. 32.

13. 23. 33.

14. 24. 34.

15. 25. 35.

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

6. 16. 26.

17. 27.

18. 28.

19. 29.

20. 30.

(A) (C) (B)

9TH IMO (2015) 2.

21.

(A) (A) (C)

31.

(A, B)

1.

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

1. 11.

11. 21. 31.

3.

22.

(A) (B) (D)

32.

(C)

2.

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

12.

12. 22. 32.

5.

24.

(A) (D) (D)

25.

SET A (A) 6. (A) (D) 16. (B) (A) 26. (B)

34.

(A)

35.

(C)

4.

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

5.

4.

23.

(C) (D) (B)

33.

(D)

3.

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

13.

13. 23. 33.

14.

14. 24. 34.

15.

15. 25. 35.

SET B (A) 6. (A) (C) 16. (D) (C) 26. (D) (C)

7. 17. 27.

7. 17. 27.

18. 28.

18. 28.

19. 29.

19. 29.

20. 30.

20. 30.

(C) (B) (D)

(B) (A) (A)

Class 4 IMO (2011-2015)

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