4. The equilateral triangle ABC has sides of integer length N . The
advised to concentrate on these problems first.
triangle is completely divided (by drawing lines parallel to the sides of
the triangle) into equilateral triangular cells of side length 1.
• The use of rulers and compasses is allowed, but
calculators and protractors are forbidden.
A continuous route is chosen, starting inside the cell with vertex A
and always crossing from one cell to another through an edge shared
• Start each question on a fresh sheet of paper. Write
on one side of the paper only. On each sheet of
by the two cells. No cell is visited more than once. Find, with proof,
the greatest number of cells which can be visited.
working write the number of the question in the
top left hand corner and your name, initials and
school in the top right hand corner.
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