MathDB
Problems
Contests
National and Regional Contests
Belgium Contests
Flanders Junior Olympiad
2004 Flanders Junior Olympiad
2004 Flanders Junior Olympiad
Part of
Flanders Junior Olympiad
Subcontests
(3)
1
1
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rectangles
Two
5
×
1
5\times1
5
×
1
rectangles have 2 vertices in common as on the picture. (a) Determine the area of overlap (b) Determine the length of the segment between the other 2 points of intersection,
A
A
A
and
B
B
B
. http://www.mathlinks.ro/Forum/album_pic.php?pic_id=290
2
1
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Another Flemish problem.
How can you go from the number 11 to 25 by only multiplying with 2 or decreasing with 3 in a minimum number of steps?
4
1
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Very easy one.
How many pairs of positive integers
(
a
,
b
)
(a, b)
(
a
,
b
)
satisfy
1
a
+
1
b
=
1
2004
\frac1a + \frac1b = \frac1{2004}
a
1
+
b
1
=
2004
1
?