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Math Olympiad Sample Paper
Class : 9
Choose correct answer(s) from given choice 1)
Fin Find sum sum of foll follow owin ing g an angle gles,
∠abc + ∠bcd + ∠cde + ∠dea+ ∠eab
a. 540 a. 540
b. !"0 b. !"0
c. #$0 c. #$0
d. 450 d. 450
$) %shish %shish is wal&ing in north north direction. direction. %fter %fter wal&ing wal&ing for # meters, meters, he ta&es a right turn, turn, and wal&s for another $4 meters. 'ow far is he form starting point( a. $4 a. $4 meters
b. "1 b. "1 meters
c. $" c. $"
d. $5 d. $5 meters
") First picture picture below below shows a wire in circular circular shape shape with radius radius of 1$! cm. %rchana %rchana cut out out an arc from wire such that arc ma&es an angle of !0 at the center. f this arc is again bent in circular shape as shown in the second picture, find the radius of new circle.
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a. $1 a. $1 cm
b. $" b. $" cm
c. 1* c. 1* cm
d. $$ d. $$ cm
4) There are are blac& and and green balls balls in a bag. Twothir Twothird d of the balls balls are blac&. blac&. f 14 blac& blac& and # green more balls are added to the bag, which of following is correct( a. There a. There are more blac& balls than green balls b. annot b. annot be determined from given information c. There c. There are more green balls than blac& balls d. There d. There are same number of blac& and green balls
5) n a political political partpart- all the * people people present present sha&e sha&e hands with with each other other once. once. 'ow manman- hand sha&es will there be altogether( a. "! a. "!
b. * b. *
c. 45 c. 45
d. $# d. $#
!) Find Find valu value e of mis missi sing ng ang angle le
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a. "$ a. "$
b. 4$ b. 4$
c. 5$ c. 5$
d. "# d. "#
#)
/
14
/
Find value of a. 5 a. 5
b. ! b. !
c. # c. #
d. * d. *
/) 2ita and and %3o- are running running on a circula circularr trac&. 2ita is running running on outer outer edge of the trac& trac& and covers distance of !!4.4 meters in one round. %3o- is running on inner edge of the trac& and covers a distance of !51.$ meters in one round. Find width of the trac&. assume $$6#)
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a. $."1 a. $."1
b. 1./* b. 1./*
c. $.1 c. $.1
d. 1.!/ d. 1.!/
*) 7ohit remembers remembers that his his mother8 mother8s s birthdabirthda- is is after after 5 th but before 11 th of %ugust. 'is sister 2ara remembers that her mother8s birthda- is before 1! th and after * th of %ugust. 9n which date of %ugust is their mother8s mother8s borthda- ( a. 10 a. 10th
b. an b. an not be determined
c. * c. *th
d. 11 d. 11th
10) Find perimete perimeterr of a par& which is made of one one rectangle rectangle and " semicircle semicircles) s) as shown in the picture. %ll measurements are in meters, assume $$6#)
a. 1#1 a. 1#1
b. 15$ b. 15$
c. $0* c. $0*
d. 1*0 d. 1*0
: $01" ;du
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