Mini sudoku uses a smaller board than the standard 9×9, which makes it the friendliest way in. The rules are identical — fill the empty cells so that no digit repeats in a row, a column or a block. Every puzzle is generated on the spot with exactly one solution, free and without an account, and the cells are large enough to tap comfortably on a phone. Pick the size that suits you below.
If you're brand new, start with 4×4 easy. A puzzle takes a couple of minutes, so wins come quickly — which is exactly what keeps a child engaged. Move up to 6×6 when that feels comfortable, and once 6×6 hard is falling reliably, make your debut on the 9×9 easy sudoku, where 20 new puzzles arrive daily.
Something different
For a variant with arithmetic in it, try killer sudoku. The basic solving methods are explained in how to play sudoku, and every level is listed on the home page.