Here's the thing nobody says out loud about activity books as presents: every one of them hands a job to somebody, and on this shelf that somebody is a parent who is not you. A cookbook means a hot oven, a supervising adult and a wrecked kitchen. Science experiments mean a trip out for vinegar and cornflour and then standing there for an hour. The nature book means leaving the house. That doesn't make any of them bad gifts — it makes them gifts with a price attached, and the price is somebody else's Saturday. So the most useful thing on this page isn't which book is best. It's what each one actually requires before it works, said plainly under every title. Pick one and stop.
I'd choose based on how much time, supervision, and extra equipment the activity needs. The drawing book is the easiest place to start because it only requires a pencil. A few things are worth checking before you buy. The Test Kitchen cookbook involves real knives and stove work and is aimed at ages 8–12. It could be a great gift for an older child who already likes cooking, but for a younger one I'd check with the parents first. Nadiya Hussain's book mixes fairy tales with recipes, so there is still plenty to enjoy even if the child never bakes. It is a UK edition, though, so availability may be less convenient. The nature book is designed to be written in, which also means it probably will not be passed down afterward. Activity books make better gifts when the child can use them right away. Add pencils to the drawing book or a whisk and apron to the cookbook.