Worked 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 here.

2010_I_1.pdf
2010_I_2.pdf
2010_I_3.pdf
2010_I_4.pdf
2010_I_5.pdf
2010_I_6.pdf
2010_I_7.pdf
2010_I_8.pdf


2010_II_1.pdf
2010_II_2.pdf
2010_II_3.pdf
2010_II_4.pdf
2010_II_5.pdf 
2010_II_7.pdf
2010_II_8.pdf


2010_III_1.pdf
2010_III_2.pdf
2010_III_4.pdf
2010_III_8.pdf