Sample GCHQ Mathematics Aptitude Test [pdf]

Nice test, but I wouldn't use #4 in an aptitude test, as it assumes familiarity with specific mathematical terminology. 'Continuous' is high school math, 'locally constant', I think, is guessable by those who have a mathematical mind, but 'almost everywhere' (https://en.wikipedia.org/wiki/Almost_everywhere)?

Also, as usual, there are a few "with a beard" that people may just know the answer to (the cake one, for example). On the other hand, knowing the answer to some of these may be enough to show mathematical aptitude.

Opening this in an airgapped machine