Skip over navigation
Guide and features
Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-4
Featured UK Key Stage 3-5; US Grades 5-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3 & 4
Featured UK Key Stages 3 & 4; US Grade 5-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
Worked STEP Examples
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
Meet the team
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. More information on many of our other activities can be found here.
Register for our mailing list
Copyright © 1997 - 2014. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the
Millennium Mathematics Project