The jigsaw puzzle includes a baseplate used with attachable puzzle pieces. The baseplate has multiple upward-facing engagement mechanisms that are engaged with corresponding and complementary puzzle piece rear-facing engagement mechanisms. The rear-facing engagement mechanisms and the complementary puzzle piece rear-facing engagement mechanisms are designed so as to leave a space between the bottom of the puzzle piece and the top surface of the baseplate. Therefore, even when the puzzle piece rear-facing engagement mechanisms are engaged with the upward-facing engagement mechanisms, this space can accommodate the provided pry tool. The pry tool can be inserted in to the space to easily remove the puzzle pieces after play, storage, or display. Therefore, the puzzle can be used over and over.