There are 18 rectangles that can be drawn by joining points in the arrangement of three regular hexagons. The given points form the vertices of the hexagons.

1. Counting
How many rectangles
can be drawn by joining
points in this arrangement?
The given points are the
vertices of three regular
hexagons.

2. Sharp Observer
C
D
ABCD square
BE = BF
F
A
E
B
Determine the position
of the points E and F so that
the area of the quadrilateral
DEBF is equal to half the
area of the square.

3. Sum of squares
The following numbers can be expressed as the sum of
two square numbers.
Establish the correspondence. Do this mentally!
160
92 + 72
130
122 + 142
193
42 + 122
200
340
2
2
2
2
11 + 7
12 + 7

4. Single trace
Two of the following three figures can be traced without lifting your
pencil from the paper or repeating any line. Identify them!
Figure A
Figure B
Figure C

5. Primes
Place the digits 1 to 9,
one in each cell, in such a
way that the sum of the
digits in each row and each
column is a prime number.

6. Your time is limited …
don't waste it living
someone else's life.
Steve Jobs