A: Draw a 3x3 grid, with the boxes labeled 1 through 9 in the usual order (left to right; top to bottom).

B:For each of the following instructions you must write a number, greater than 10, starting in one box and going across (left to right) or down, with one digit to each box. Your answers should fill the grid, with no two answers overlapping.

C:Starting with a box whose number is a square, write a square number.

D:Starting with a box whose number is a cube, write a cube number.

E:Starting in a box whose number is prime, write a prime number whose digits add up to an even number.

F:Starting with a box whose number is even, write an even number

Unfortunately, one of the copies of my instructions had part F completely missing. Each child turned in a 3x3 grid which was correct for the version they had been given. By coincidence, they turned in identical grids.

How did they fill out their grids?

Nevermind my previous logic for discounting the cases where the niece and nephew share a 3-digit cube in their solutions. As Charlie pointed out, these cases would require the two-digit even number to end in box 9. But this is inconsistent with the 3 digit prime which must end in box nine (as there are of course no even 3 digit prime numbers).

Posted by Eric on 2005-03-15 02:28:25