This is a section taken from a book I wrote called "Puzzling Mathematics".
It presents seven thought-provoking questions relating to different configurations of cages (i.e. polyominoes) that can be found in conventional operation puzzles such as KenKen.
The section is divided into subsections, each dealing with a specific size of polyomino (2-omino, 3-omino, 4-omino, and 5-omino) and to which the seven questions are applied. The answers to these questions are contained in this Teacher Manual.
While most of the questions involve basic arithmetic to answer, the general case involving n by n operation puzzles leads to some interesting applications of algebra. They have students writing algebraic expressions, then either adding or multiplying polynomials, and finally simplifying them.
These questions/activities are ideal for enrichment/extension purposes used with talented students.
The Student Worksheets containing the questions for each of the polyomino types can be found in my store. Look for the documents entitled Operation Puzzles_Student Worksheets.
I hope that these documents can be of use to you. Any feedback/comments would be much appreciated.