Earlier quoted context omitted.
I have a number of good friends who are teachers, including maths, and they talk about it a lot. While you may not think your system is good, it sounds like the UK system is encouraging mediocrity. For example, when I was at school 20 years ago, we had to memorise formulas for common thing ( speed = distance over time, and similar). Apparently the kids are given the formulas in exams now. There doesn't appear to be s…
I have also memorised the formulas for d/s/t and f/a/p but struggle to see how these translate in to academic excellence of any type, or even why giving them to someone is encouraging mediocrity. There is (imho) nothing of value in memorizing simple formulas, and everything in the value of knowing how and when to apply those formulas, or where to Google for them.
In my highschool physics exam, about 2/3rds was of questions based on memorised formulae. For example, the bouncing ball problem, with a series of questions to tease out our application of calculus, memorisation of compression rules and so on.
Then comes the final question. I remember it well because at first, I did not know which formula to apply. Water wells into a pool at rate X per hour, falls over a waterfall into a second pool below, which drains at rate Y per hour. When it falls over the edge of the waterfall, the water is at temperature A; at the start of the problem the temperature in the bottom pool is C.
After an hour, what will the temperature in the second pool be?
To solve this problem you actually need to consider the thermic effect of water falling. You need to build a single equation to accounts for acceleration due to gravity and the beginning temperatures of each pool. Then you need some calculus to transform it into an equation that will spit out the final numerical answer.
The only reason I was able to attempt and solve this problem was because I had memorised the equations. There simply would not have been enough time to try to reverse-engineer a bunch of anonymous letters in-flight.
Similarly, when I studied law, all exams were open-book. This is because, as a law professor told me, "it lets us ask harder questions". There's simply no way to synthesise thousands of pages of material in an exam setting. Either you learnt it beforehand, including a whole bunch of flat out memorisation of details of cases, or you didn't. Having your casebooks for reference is useful, but only to check a detail or reuse a quote.