I’ve made video solutions to various STEP problems – they can all be found in a YouTube playlist here. Links to individual videos:

STEP IPlaylistsIndividual Question Videos
2018Playlist1 2 3 4 5 6 7 8 9 10 11 12 13
20161 2 3 4 5 6 7 8 9 10 11 12 13
STEP IIPlaylistsIndividual Question Videos
20191 2 3 4 5 6 7 8 9 10 11 12 13
20171 2 3 4 5 6 7 8 9 10 11 12 13
STEP IIIPlaylistsIndividual Question Videos

You can also find grade boundaries and past papers for all STEP 1 2 and 3 papers from 2000 onward on this page.

Click the buttons below to download fully typed up solutions to all of the STEP papers from 2016, 2017, 2018, 2019 and 2020. These have kindly been prepared by a friend who has helped with marking these papers, not by me. They have decided to stay anonymous, but many thanks for the effort in producing these!

Full written STEP Solutions:

Other useful STEP resources:

  1. The official Cambridge website and the official admissions testing website.
  2. The free pdf of the book `Advanced problems in Mathematics’ by Stephen Silkos available here is a really exceptional introduction with so many practice problems, each with hints and discussions about strategy presented before the solutions.
  3. These foundation modules are also great preparation in a similar way.
  4. The STEP Database website allows you to search for individual STEP questions all the way back to 1987 by topic.
  5. This website also has free fully worked handwritten solutions to most STEP papers from 1996 to fairly recent papers.

Related reading:

For ideas of books to read to prepare for undergraduate maths take a look at the page here.  I would also highly recommend the (free!) notes How do Undergraduates do Mathematics.

Note – STEP has changed slightly for examinations from 2019 onwards, and STEP I no longer exists, but the style of the questions are unchanged and so most past paper questions remain excellent preparation for the new exams and STEP I questions are still a great starting point for preparation.