Matching a game to a child”s age saves a lot of guesswork. For four and five-year-olds, look for chunky, simple games with clear rules and short rounds, so there is not much waiting between turns. Bee Genius, pitched at younger children, is one example that uses big pieces and a single, easy-to-grasp goal.

Home escape room games take the idea of a real-life escape room and pack it into a box. You work through a story by solving a chain of puzzles, cracking codes, reading hidden clues and combining objects until you reach the final answer. Most are built for two to six players working together, which makes them a good fit for a family evening or a small get-together.

A good travel game earns its place in the bag by being compact and quick. You want something that sets up in seconds, plays in a few minutes and does not rely on a large board or dozens of loose pieces that scatter across a car footwell. Card games and self-contained puzzle games tend to win here, because everything stays in one small box or tin.

For gift ideas sorted by age band, with the number of players and rough playing time listed for each, browse the games-by-age pages at brain teaser puzzles.

Solo puzzle games are useful when you need to keep one child occupied without a second player. The Genius Square and Genius Star are self-contained, so a child can roll, place and solve on a tray table or a picnic blanket without anyone else joining in. Card games such as Flip 7, available from The Happy Puzzle Company, come into their own when the whole family wants a quick round at a campsite or in a holiday cottage.

For a hand-picked selection of Christmas games and stocking-filler puzzles for every age, browse the seasonal range at brain teaser puzzles.