During the 2010s, I worked at various problem solving events for A-level students, some of which focussed on STEP. Over that time, I collected some problems which are harder than A-level questions, but are designed for strong A-level students. Since it's taken me 10 or so years to finish writing this booklet, it is very unlikely that I will provide solutions. Hopefully there aren't many errors in the questions themselves: Here they are in the pdf below.