Singapore Mathematical Olympiad for Primary Schools 2004

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The length of

Raka stands for a new tower. The length of Raka’s shadow is 1,25 meters and lenghth of the tower’s shadow is 23,3 meters. If Raka’s height is 1,5 meters, what is the lenght of the towers ?

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Mathematics Competition For Elemantary School

In equilateral triangle ABCD, line segments are drawn form a point P to the verticle A, B dan C to form three identical triangle. The point D, E dan F identical triangle. The point D, E dan F are the midpoints of three sides and they are joined as shown in the diagram.

What fraction of triange ABC as yellow shaded ?
A. 1/5
B. 5/24
C. 1/4
D. 2/9

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