There are two main aspects to target for STEM exams. Understanding the concepts, and exam technique. Just because a student may thoroughly understand a topic doesn't mean they are prepared to answer exam questions that score highly in the mark scheme. And conversely a student that is very familiar with the mark scheme may still be thrown off on large questions, not knowing where to begin, if they...
There are two main aspects to target for STEM exams. Understanding the concepts, and exam technique. Just because a student may thoroughly understand a topic doesn't mean they are prepared to answer exam questions that score highly in the mark scheme. And conversely a student that is very familiar with the mark scheme may still be thrown off on large questions, not knowing where to begin, if they lack a proper understanding of the concept.
Depending on which aspects the student struggles with (including if they struggle with both) I would focus lessons to improve their weaknesses. Offering homework questions to work on will give me an idea on where they are losing marks (understanding or not writing to fit the mark scheme) which I can then discuss with the student in the following lessons.
But importantly, I hope to make lessons enjoyable and encourage curiosity. Learning science will not only serve students in their secondary school exams but hopefully in the far future, especially if they choose to pursue a career in STEM. If time allows and they are interested I think it would be beneficial for students to learn about topics that may not be in their syllabus and I would be happy to have a conversation about my experience doing a STEM degree and what exciting new ideas and research I have come across.
If students are interested in the Oxbridge entry process, then lessons can be arranged to prepare them for interviews or entrance exams as well as advice on what to write on their personal statement.