why do i need to know this for settlement
I think it’s actually less intentional. Most of the questions that you’ve posted were things I learned at an English public school (many are things I’ve subsequently forgotten), including the ones that are either factually incorrect or misleading. Public school boys are severely over represented in both the civil service and politics. I wouldn’t be at all surprised if this is genuinely what they think everyone in Britain knows.
They should have outsourced it to one of the companies that designs pub quizzes if they wanted something actually representative.