Tangram
Tap a piece, then drag it into the dark shape.
Pieces snap to the dots. Turn goes an eighth of a turn at a time. Only the slanted box ever needs Flip.
For grown-ups
A tangram is seven flat pieces (two big triangles, a medium one, two small ones, a square and a slanted box) that fit together into pictures. Drag a piece onto the dark shape; it snaps to the dots, and Turn spins it an eighth of a turn. Level 1 uses two pieces and shows the lines between them; level 2 uses three; level 3 uses four and shows only the outline; level 4 uses all seven. Every shape is the pieces put together, so each one can be solved, and a hint button shows where the next piece goes. It practises spatial reasoning, mental rotation and patience, and nothing is typed or timed.