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RollNo.:

Total Questions: 35

[tr

t]-Tl

Time:1 hr.

s@r

xnH

SOF.Tth

INTERNATIONAL

MATHEMATICS

OLYMPIAD

Guidelines for the Candidate

1. You will get additional ten minutes to fill up information about yourself

on the Answer Sheet, before the start of the exam.

2. The Question Paper comprises four sections: Logicat Reasoning

(10 Questions), Mathematical Reasoning (10 Questions), Everyday

Mathematics (10 Questions) and Achievers Section (5 Questions)

Each question in Achievers Section carries 2 marks each, whereas all

other questions carry one mark each.

3. All questions are compulsory.There is no negative marking. Use of calculator is not permitted.

4. Write your Name, Roll No. and Class clearly on the Answer Sheet and do not forget to sign it.

5. There is only ONE correct answer. Choose only ONE option for an answer.

6. To mark your choice of answers by darkening the circles in the Answer Sheet, use an HB Pencil or a Blue / BIack ball point pen only. E.g.

Q.16; A number has nine ones, six tens and eight hundreds. What is the number?

A.869

C. 968

As the correct answer is option A, you must darken the

circle corresponding to option A in the Answer Sheet.

16.o@oo

7. Rough work should be done in the blank space provided in the booklet.

8. Return the Answer Sheet to the invigilator at the end of the exam.

9. Write your Roll No. on the Question Paper too and take it home for future reference.

CLASS

B. 896

D. 986

(2)

pattern

V

tr

1.

)(

CE

Which

of

the

following options

will

complete the in

fig.

(X)? B.

D.

FiE.0q

2.

*

Study

the

given figure carefully and

find the

value

of

Y.

A.

20

B.

98

c.

48

D.

40 A. C.

n

D.

ffi€$$

85.

There are

_

more straight lines than triangles in

the

adjoining figure.

A.3

B.1IIlore'.','*orIl9lt,DllltIliiCruJ\,,llllllYllYulE^

91,

D.5

w

flda''

'86

*g

Z

"\f)

l5

70

+

n

#

SrNUhich

of

the

following

is

needed

to

complete

the

pattern?

BX

A

U

ar/Two

positions

of

a dice

are shown below. Find

the

number

of

dots

on

the

face

of

the

-

dice

that

is

opposite

to

the

face

with

1

dot.

A.3

B.2

c.5

D.6

o

#

#

tr

2

M

?

I

m

#

1

Space for Rough Work

IMO lClass-3 lLevel 2

(3)

-O,/tnere

is a certain relatiogship between figures P and R. Establish the same relationship

\'/

between figures Q and S

to

find

the

missing figure from the options.

B

It {, P

o

B. S

E

o

E

A6

c.

*

?

# #

l,/Read

the

clues and form

a

meaningful word using

the

English alphabets.

ABC

DE

FG

H I

J

KLM

N

O

PQ

RSTUVWXYZ

Clues

:-First letter is between H and J.

Second letter is thirteenth from right end.

Third letter is fourth from left end. Fourth letter is same as

first

letter.

Fifth letter is

first

from left end.

Sixth letter is same as second letter.

A.

SQUARE

C

B.

HIGHLY

C.

INDIAN

D.

FRANCE

8.lt'B'

is called

'Z';'Z'

is called

'M'

and

'M'

is called

'L',

which letter is formed from three

v

straight lines? A. B. C. D. B

z

M L

C

C

+ I

9./Which

one word CANNOT be made from

the

letters of

the

given word ?

\-/

CoNCENTRATE

A.

CENTRE

B.

CONCERN

C.

REASON

D.

TREAT

Space for Rough Work

l i

L 7th IMO lClass-3 lLevel 2

I

I

(4)

10.5elect

the

correct mirror image

of

figure (X).

ffiu

l\rv

Figure

(X)

V

mlrror

A@

B@

B

C@

D@

11./How

\-/

manv thousands are there

in

58:/32

+

732?

C

c.e

A.

98

B.

50000

D.

9000

lg,6inathe

value

of

P

+

Q

-

R

+

S.

"5

slPl4

6

x9

3 4

610

3

t5

E4

sz

x8

A.

13

B.

15

c.

12

D.

16

438

E6

l{uow

many tens needs

to

be subtracted from 5930

to

get

230?

A.

570

A

B.

900

c.

5970

D.

179

l{Ag

is

---

more than

the

product

of 9

and 8.

\-/

A.72

c

B.

38

c.

17

D.

30

\fi

V..V..V

stands

for

6,

*..'V..W

stands

for

10,

fl.g

stands for

goo,ffi

stands

for

50, then 2

@ *

39.;ft'

*

3W

stands for

A.

170

B.

172

c.

180

D:

232

o-2

k-6

A:€,

"i;?'.*w

81

7Z

Y.,,.*"-"'

l7

!'2

bi

?

S

R

*+

*B

a

r

5130

23(

<t4

576r

-

8-I

?L

L}

(5)

1$raruhat fraction

A.

15

n30

Vfi

U.

30

of

the

figure

is

unshaded ?

B.

14

30

D.

16

30

1

17/Find the

difference between

the

largest possible even number

and

smallest possible

odd

number from given digits.

f

6,

5,

8,9,3

A.

62964

U

B. 62874

C.

62847

D.

62946

tQ./nicn

is

the

largest number ?

\/

O

n

n.

(19

x

13)

hundreds L\'too

c.

i+b'*

1t'sz

tens)

1$"\(

ai. !.?

20 tens + 928

tens

h'tgo

(680

-

241) hundreds

ra3lto

B. D.

ly,{sinOthe

given balances,

find the

weight of

@o.5$

A.

8400 g

B.

5200 g

C.

7950 g

D.

7800 g

20/

Put the correct signs in the circles below in the same order so that the given statement

v

becomes true.

p

A.

*,-,(

A

n.O.uOrzOao

B.

-,*,)

C.

*,*,=

D.

-,r,=

t

t

217Tina

\'/

bought

some

pencils. Each pencil

costs

t

7.

pencils

did

she buy from

this

money?

A.

e3

il

B.

86

C.

72

lf

she had

(

672,

then how

many

D.

96

,l+80

r1,i? --6ilF

1bl

t

_

2-tq

, tl

'57

I

?0

olZ

lE

oo

.y'

n,t

a Lt:.'"

3{sry

NIAA JbUU /,"1 , -, uJrz q'/

*

+LO

A

\DD

;%,

b4o

rA\

--'a o'

\1

) .n(- r{tl

t

S

Y:A .42"

s

s65l'U-:

!rv\u_ 9$,53dq ? Go 4 6

d$3ry

qfr53h

-J"1"**'-;x*

0slJ?

66C0fi

2+

lO L) T leP

q$h

?6bFE'E{}u'

E

35de

q

'3rrmq

LOA g6 u''-' ::* -' - 'i-'r

,,+St*

*.ri

*

v4 ! *1! r-",_"",J""*****:_*_

{

18*?

-

(6)

22fohit

wants

to

buy a ball which costs

t

120. He checks his pocket and find

that

he has

v

three 50 rupees note. Which of the following statements is true?

A.

Rohit can buy the ba!! and is left with 20 rupees.

(-

B.

Rohit cannot buy the ball because he will fall short of 20 rupees.

t-

C.

Rohit can buy the ball and is left with 30 rupees.

D.

Rohit can buy the ball and is left with no money.

ry/e^n^na

drinks

16 gtasses

of

water

in

1

day.

lf

she drinks the

everyday, how much water

will

she drink in 1 week?

A.

102

glasses

C

B.

92

glasses

C.

112 glasses

same amount

of

water

D.

132 glasses

Z{soniatravelled

the

distance

of

1028 km by three modes

of

transport. She travelled 1/2

\'/

distance by car, 1/2 of left distance by bus and rest by walking. Find the distance travelted by walking.

A.

513 km

B.

257 km

C.

342 km

D.

42O km

\L .^

),

2l)Aini

has 9 boxes

of

balls. She has 24 balls in 5 boxes and two times of 24 balls each in

t/

rest of

the

boxes. Find the

total

number

of

balls she has?

A.

1s2

g

B.

312

c.

120

D.

216

r

Mrs. Garg goes

to

the dance show

with

her two Find the

total

cost of tickets she has

to

pay?

A.

{

1000

\

B.

{

1200

.J

\

c.

<

1500

6

D.

< 1050

kids, one friend and friend's

two

kids.

Cost of tickets

Adult < 250/- oer Derson

chitd < 125/- per person

2J/Rohan put

420 cupcakes into baking trays.

lf

he uses 35 trays, then how many cupcakes

will

he

put

exactly in each tray?

A.

14

9

B.

12

c.

17

D.

15

28.,tthere are

8

boxes

of

sweets. Each

box

has

26

sweets. Each sweet

costs

t

5.

Then

-

the cost

of

all

sweets

in

8

boxes is

A.

{

940

C

B.

r

960

c.

r

1040

D.

{

1060 l+ ?_6

rB

\--." *Ar"a '

Lo8

5

to+0

5ao

#a

"tc

JJ

3

spacefor Roush

Work

iA

+? 7+

?x7

L*"

t-, ---! "-*

,fi-

ttz

tZs

+

70

(7)

JZg.

Latika

is

15 cm taller than Beena. Priya

is 5 cm

shorter than Garima.

-

are

of

same height.

lf

Garima

is

158

cm tall,

then height

of

Latika is

$ n.

158

cm

B.

168

cm

C.

160

cm

D.

Beena and Priya 153 cm

,f1

n

B.

230 pizzas and 170 chocolates

D.

225 pizzas and 170 chocolates

SO/Cntrag

sold

125 pizzas and

90

chocolates.

lf

Yogesh

sold

20

less pizzas

and 10

less

\'/

chocolates than Chirag,

then how

many pizzas and chocolates they

sold

altogether?

A.

13O pizzas and 190 chocolates

C.

250 pizzas and 170 chocolates

31.}Vhich

v

of

the

following is

the

INCORRECT match?

*J,

r

:

===

i

A.

lH rE=1000-346

B'

t

= 1000

-

424 t)

V

= 1000

-

335 = 1000

-

343

32VSludy

the

statements carefully and select

the

correct option.

\'/

Statement 1 : Place value of 6 in addition

of

4029 and 588 is 6.

Statement2

:

Product of

9

x

8

x7 x6

x

5 x

4

x3

x

9

x

8

x 7

x6x

5

x

0

x

4

x3

x2

is 1378.

A.

Both statement 1 and statement

2

are true.

B

B.

Both statement 1 and statement

2

are false.

C.

Statement 1 is true and statement 2 is false.

D.

Statement 1 is false and statement 2 is true.

337Mr. Jindal wrote

a 3-digit

number on

the

blackboard. Three students Giya, Megha and

\'/

Piya said

the

following about

that

number :

Giya

: "lt

is a 3-digit number but not the least".

Megha

: "lt

is 153 less than the predecessor of greatest 3-digit number".

Piya

: "lt

is having thlee different digits". What is the

number? U

A.

847

B.

864

c.

764

D.

845

space for Roush

y8f

lz$

1a

ffi*_

fiYA*W

q?

i

d,66

ls1

{rL

ffi"1a-t,'t

L

-

(8)

S4,,Find

the

value

of

P

+ Q

-

R

+

S.

A.

12

B.

15 r

c.

13 u

D.

14

96r

x1.

-3lPl

7'

@os,

Bs sE:

3l.,/Arrange

the

following

in

descending order.

v

(P)

6 thousands 3 hundreds 0 tens 9 ones

(O) 6 thousands 3 hundreds 9 tens 0 ones

(R) 6 thousands 0 hundreds 0 tens 9 ones

(S)

6 thousands

t

hundreds 9 tens 3 ones

A.

BQ,R,S

B.

R,BQ,S

C.

S,Q,BR

T

t-D.

S,Q,R,P

Space for Rough Work

Lz

qic

Y 'tq

sFp SOF in ossinionwith aaE&n${ aaq.iacf. oiltourtcs

str

3g

1t

sa

7Z

552

?-?

G*?

.s*

I

B-5

t)

sYr siilr

II@

SOF NATIONAL

il@

IIE

IIE

CYBEROTYMPIAD

SOF

NATIONAL

SOF INTERNATIONAL SOF INTERNATIONAL

SCIENCE OLYMPIAD MATHEMATICS OTYMPIAD ENGLISH OLYMPIAD

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)

Contact your SOF Olympiad lncharge Teacher / Principal Toda

References

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