The move gives check. Is it mate or can the king escape? Decide before the move is made.
Check is an attack on the king. There are three ways out: move the king, take the checking piece, or block. Checkmate is a check with no way out. Beginners often mix them up: they call mate when the king can still escape, or miss that the check is already mate.
The trainer shows a checking move with an arrow. Decide whether it is mate or just check. Positions come from lichess mate puzzles: each has a mate in one, and sometimes another check that looks very much like mate is shown instead. After the answer the move is made, and if it is just check an arrow shows the way out.
Check in order: does the king have a free square the opponent does not attack; can the checking piece be taken; can a piece be put between it and the king. If there is no way out, it is mate.
From the open lichess database of mate puzzles. Mate or not is decided by the program from the rules of chess, so the answers are always exact.
By the number of pieces: up to 12 on Easy, 13 to 20 on Medium, more than 20 on Hard. The more pieces, the harder it is to see where the king can go or who can block.
Yes, the trainer is free and works without sign-up.