Proofs advice/places to find more practice proofs

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To improve at writing proofs in grade 12 algebra, focus on understanding the fundamental concepts and practicing logical reasoning. It's beneficial to study examples of proofs and analyze their structure to gain insight into effective techniques. For additional practice questions, resources such as geometry and discrete mathematics textbooks, online educational platforms, and math forums can provide suitable problems that avoid calculus topics. Engaging with peers or educators for feedback on your proofs can also enhance your skills. Consistent practice and seeking out diverse resources are key to mastering proof writing.
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Hey I have 2 quick questions...

1) Any advice for proofs, I am just starting with them, and wondering how I can make good proofs, i know very little about the now :| anything that other people expierienced while starting proofs would be great, (its grade 12 algebra)

2) Anyone know where i can find additional proof questions? Preferably having nothing to do with calculus, because...i haven't really learned that yet.

Thanks a lot for any suggestions.


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Geometry and Discrete Mathematics?...
 
Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
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