Question 6
(a) A chess piece can start anywhere on a $7\times7$ chessboard. It can jump over 4 or 5 vacant squares either vertically or horizontally, but it cannot visit the same square twice. At most how many squares can it visit? (1 Mark)
(b) A chess piece can start anywhere on a $9\times9$ chessboard. It can jump over 5 or 6 vacant squares either vertically or horizontally, but it cannot visit the same square twice. At most how many squares can it visit? (2 Marks)
(c) A chess piece can start anywhere on a $15\times15$ chessboard. It can jump over 8 or 9 vacant squares either vertically or horizontally, but it cannot visit the same square twice. At most how many squares can it visit? (3 Marks)
(b) A chess piece can start anywhere on a $9\times9$ chessboard. It can jump over 5 or 6 vacant squares either vertically or horizontally, but it cannot visit the same square twice. At most how many squares can it visit? (2 Marks)
(c) A chess piece can start anywhere on a $15\times15$ chessboard. It can jump over 8 or 9 vacant squares either vertically or horizontally, but it cannot visit the same square twice. At most how many squares can it visit? (3 Marks)