Try doing this puzzle. It should take 15 moves) Six counters - three black and three white - are place on a grid of seven squares White counters move left to right, either by esliding into a vacant space or jumping over one black counter into a vacant space. Black counters move right to left, either by sliding into a vacant space or jumping over one white counter into a vacant space. Explain the sequence of moves to reverse the positions of the two sets of counters.

With six card, each card has 32 numbers on it. If Fraudini added two new cards (and updated the old ones) so that he could "read" your mind for larger number  What numbers would appear in the upper left-hand corners of the new cards? Explain.   What would be the largest number that he could "read" (it was 63 for six cards)? Explain .   Which of his eight cards would have the number 213 on them? Explain.

if we place 1 penny on the first square of a chessboard, 3 pennies on the second, 9 pennies on the third and continue the pattern, how many pennies will be on the 120th square?