I am a uni student with very good knowledge of maths and I would be aiming my lessons to KS3 and KS4

I will ask the student first what they are struggling with, identify it, and go through the question and/or subject step by step making sure they have a foundation and understanding of the concept and through multiple questions with me. Then give them questions to do on their own utilizing everything I have taught them and see how far they understand. Any mistakes will be corrected by assisting not by telling.