FOR CHILDREN

PROBLEM # 1
You have a large wooden cube that measures 4 feet on each edge. You need to cut the cube into 64 smaller cubes that measure 1 foot on each side. If you rearrange the pieces before each cut, what is the least number of cuts you will have to make?

FOR GROWNUPS
Each shaded triangle in the circle is equilateral with side lengths of one unit. Find the length of the radius of the circle. (Figure 1)

PROBLEM # 2

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SOLUTIONS TO PROBLEMS ON 05/19/05

FOR CHILDREN

PROBLEM # 1
If the consecutive odd counting numbers are arranged as shown, what is the middle number in the 23rd row.

Row 1:  1
Row 2:  3 5
Row 3:  7 9 11
Row 4: 13 15 17 19
Row 5: 21 23 25 27 29

SOLUTION
529.

FOR GROWNUPS

PROBLEM # 2
In Figure 2, if segment FD is parallel to segment AB, determine the length of segnment EF.

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