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KVS Junior Mathematics Olympiad (JMO) 2004
M.M. 100 Time : 3 hours
Note : (i) Attempt all questions. Each question carries ten
marks.
(ii) Please check that there are two printe pa!es an ten
questions in the question paper
1. "ill in the #lanks :
(a) The num#er o$ hours $rom % p.m. Tuesa& until ' am
"ria& o$ the
same week is .
(#) $ 3*+,- %1 then * equals ..
(c) n a school the ratio o$ #o&s to !irls is 3:' an the
ratio o$ !irls to
teachers is /:1. The ratio o$ #o&s o$ teachers is ..
() $ n 2 100 an n is an inte!er the smallest possi#le 4alue o$ n
is
.
(e) n the ia!ram A5 - 6 75 - 3 an 78 - 10. The area o$ the
shae
trian!le is ..
A
6
7 3 5 8
10
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,. (a) "in the num#er o$ positi4e inte!ers less than or equal to
300 that are
multiples o$ 3 or ' #ut are not multiples o$ 10 or l'.
(#) The prouct o$ the i!its o$ each o$ the three+i!it num#ers
13% ,/, an
63, is ,6. 9rite own all three+i!it num#ers ha4in! ,6 as the
prouct o$ the
i!its.
3. (a) ol4e : *, *& &,- 12
*,+ *& &,- 62
(#) The quaratic pol&nomials p(*) - a (*+3), #* 1 an q (*) -
,*, c (*+,)
13 are equal $or all 4alues o$ *. "in the 4alues o$ a # an
c.
6. (a) Two squares each with sie len!th ' cm o4erlap as shown.
The shape
o$ their o4erlap is a square which has an area o$ 6cm ,. "in the
perimeter in
centimeters o$ the shae $i!ure.
'
'
(#) A rectan!le is i4ie into $our smaller rectan!les. The areas
o$ three o$
these rectan!les are / 1' an ,' as shown. "in the area o$ the
shae rectan!le.
