Here are some worked examples of a selection of Pure Mathematics STEP questions from the 2010 papers.
They are not intended to be perfect model answers, but rather are intended to give you a flavour of how your written STEP answers might look. Our students used some scrap paper for workings out which are not included here, so don't panic if your work doesn't look as neat as theirs!
We asked the students who completed their questions to annotate in red pen any useful techniques or clever tricks they used when solving the problems. We hope you find it useful to see some of their thought processes.
REMEMBER: You will get much more out of the STEP preparation process if you tackle the questions for yourself first before looking at hints, answers or worked solutions.
You can download the 2010 papers along with other STEP papers from here.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.