A 3-day STEP Maths Preparation Course for students sitting STEP 1, 2 and 3 for entry to Cambridge, Warwick, UCL, Bath, Imperial College. Takes place in July, at the start of the summer holidays. Part of a series of 4 STEP courses.
If you have your sights set on a mathematics degree at a top university, you are likely to have to take the STEP exam next summer. In this course, we will guide you through STEP past questions based on Year 12 Maths, which are useful for all STEP papers. You will have a chance to work through specially-selected questions, both individually and in cooperation with some of your fellow applicants, with full solutions then presented for each question.
STEP will require you to display mathematical problem-solving abilities at a level appropriate for Maths undergraduates. Therefore, in this course, we are particularly focused on proof and the logical analysis of questions, which are tested much more severely in STEP, just as at university.
Since you will be marked in part on your presentation of proofs, we cover questions requiring proof by contradiction, counterexample, induction, and division into cases so that you can see fully explained examples of each type.
Two places where students often trip up in their answers are on knowing which manipulations are or are not permitted when dealing with inequalities, and on distinguishing between necessary and sufficient conditions, so we present questions which rely heavily on each. We also expound on the use of symmetry to understand and speed up your approach to some problems.
- Learn how to plan for and present all of the most essential kinds of proof
- Examine the subtlest aspects of manipulating inequalities
- Perfect your understanding of necessary and sufficient conditions
- Analyse unfamiliar graphs with symmetry tricks
- Master the art of dividing problems by cases
What our students said:
“The course definitely helped me focus on subtleties and showed me a different way of thinking that made the questions much more accessible. It has really helped me to improve my problem solving skills. I love that it’s at the beginning of summer as it is an incentive to keep working on STEP over the holidays.”
“A really nice way to properly begin preparing for STEP. Having already done a fair amount of STEP questions, I found the questions were well selected and how they were tackled gave me new insights into the exam.”
“Year 12 has been so hectic I hadn’t looked at proper STEP questions until this month and I found them really daunting. Now I know that if I break it down I can understand it and do it on my own.”
“This course was a great way of improving my technique for STEP papers. The tutors went through every question thoroughly and were very helpful when I didn’t understand something.”