Testing Luck and pure math exams vs. applied math exams

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Luck plays a significant role in exam performance, particularly in pure math compared to applied math. In applied math, students feel that thorough practice prepares them adequately, making luck less of a factor. Conversely, pure math exams often present questions in diverse ways, requiring not just practice but also a degree of luck to interpret questions correctly. Experiences shared highlight that students sometimes struggle with specific questions despite having the knowledge, attributing this to a lack of clarity or the need for a different perspective. The structure of some courses, where only the best answers are counted, provides a buffer for those challenging moments, suggesting that while preparation is crucial, the unpredictability of exam questions can introduce an element of chance.
rubrix
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has luck been a factor in your exam? How does it compare in pure math exams to applied math exams?

I personally feel that in applied math I'm able to do w/e i have practiced, luck isn't that important. But in pure math i need a luck factor as well, along with a good practice. I feel like have to be lucky enough to comprehend the questions in a certain way that it yields a fruitful answer. Maybe I'm putting this on luck b/c i don't feel secure with pure math exams.

is that just me or happens to others as well?

edit: i suppose in a applied course (say ODE), there are only certain types of question that would be asked in exam/test. One is able to practice them all...and if s/he does luck isn't that important. But in pure math, there are uncountable ways of asking a question and i guess luck is important?
 
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Yes, I remember on a discrete maths exam I sat recently, it was for 3 hours and I finished almost all of it in the first 1.5 hrs. I spent the next 1.5 hrs on this one question worth 4/120 marks. I did get it in the end, and it wasn't even that hard, I was just thinking about it the wrong way. But at my university only the best x out of y problems are counted, so there is a bit of cushion if a particular question just doesn't click on that day.
 
yeah that happens a buncha time.

anyone else with similar experience?
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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