Click here to download pdf of the STEP course booklet as used on the 2018-9 Greenwich course

Click here for the ‘Drop Homework here” subfolder. Your work will be commented on and re-uploaded to that same subfolder with a filename now including “commented”.

Click here for the bigger Google Drive folder which includes the ‘Drop Homework Here’ subfolder, plus other stuff which may be useful in the course.

Click here for the “Writing Maths: From Euclid to Today” presentation

Peter Mitchell’s model answers to STEP questions (there are also “official” model answers for the more recent papers, and other model answers for older papers elsewhere).

Tasters: some simply-stated sample STEP problems

As from 2019, there is no longer a formula booklet provided for STEP. However, if a question requires knowledge of a formula beyond what you will have learned for A level, then the formula will be given in the question. Click here to see what knowledge of formulas and such is assumed in STEP (and click here to see all the 2019 changes in specifications).

The course booklet was originally based on rearranging material from Michael Gibson’s STEP course available on the Integral Maths website. It contains a weblink to a solution for most problems except the easiest; or some problems have a reference to Gibson’s solutions, found in subfolders “1”, “2”, “3”, etc. in the Google Drive folder mentioned above.

I’m constantly revising the course booklet: please email me at when you detect errors, unclear bits, etc.

STEP (Sixth Term Examination Paper) is a maths exam, taken around the same time as A level and depending only on A level knowledge of formulas and such, but designed to require much more thought and imagination to answer the questions.

STEP is used by Cambridge and Warwick universities as part of their regular admissions process, and other big maths departments will also value a good STEP result highly.

STEP is rarely taught in schools, so we are running a STEP-preparation course at Greenwich University, for students from schools across South East London and beyond, on Saturdays.

Greenwich STEP course, 2018-9, schedule. All sessions 9:30 to 13:00 in room QA075, Queen Anne Court, University of Greenwich. (Variation on 15 Dec: see below).

3 – Leigh Baxandall, Martin Thomas, Zhaoqi Chen (+ Ana + Gayatri) – A sample STEP problem. Diagrams, reconfiguring problems, and writing words
17 – Yuliia Tereshchuk, Zack Bassman, Zhaoqi Chen (+ Gayatri) – Symmetry and simple-cases

1 – Yuliia Tereshchuk, Leigh Baxandall (+ Ana) – How to write maths
15 – Yuliia Tereshchuk, Marcel Armour, Zhaoqi Chen – The maths of “how to count without counting” and probability in STEP. [Please arrive for 9am on 15 Dec. Because we’re not allowed to stay on site without a member of university staff present, we have to finish early, at noon, on 15 Dec].

19 – Marcel Armour, Leigh Baxandall (+ Gayatri) – Statistics and mechanics in STEP
26 – Yuliia Tereshchuk, Zack Bassman (+ Ana) – Graph-sketching

2 – Marcel Armour, Leigh Baxandall (+ Gayatri) – More probability and statistics
16 – Marcel Armour, Martin Thomas (+ Ana) – Factorise, factorise, factorise
23 – Marcel Armour, Yuliia Tereshchuk (+ Gayatri) – Swimming underwater

16 – Leigh Baxandall, Zack Bassman (+ Gayatri) – Reprise
23 – Marcel Armour, Yuliia Tereshchuk (+ Ana) – More probability questions, or edgy mechanics (students choose whether to do probability, or mechanics, or both)
30 – Yuliia Tereshchuk, Martin Thomas, Zhaoqi Chen (+ Gayatri) – Juggling with two related variables

6 – Yuliia Tereshchuk, Martin Thomas, Zhaoqi Chen (+ Ana) – Choosing STEP questions and attempting papers: practice with the 2015, 2016, and 2017 papers, and STEP I 2011

Below: the tutors – Leigh, Marcel, Martin, Yuliia, Zack, Zhao

Click here for the (tweaked) latest version of the course booklet (last updated 21/3/19)

Some booklets by Stephen Siklos are the nearest things to “textbooks” for STEP.

“Advanced Problems in Mathematics’ (2016 edition)

“Advanced Problems in Mathematics’ (2008 edition)

“Advanced Problems in Core Mathematics” (2008 edition)

For other STEP-relevant stuff on this site, click this link:

Below is the schedule from the 2017-8 Greenwich STEP course:

25 November – Zack, Leigh, and Yuliia
2 December – Martin, Marcel, and Yuliia
16 December – Martin, Leigh, and Yuliia
20 January – Leigh, Zack, and Yuliia – QA138 or QA139
27 January – Marcel, Martin, and Yuliia – QA063 or QA075
10 February – Yuliia, Martin – QA138 or QA139
3 March – cancelled due to snow
10 March – Yuliia, Marcel, Leigh – QA138 or QA139 – Factorise, factorise, factorise!
24 March – Yuliia, Marcel, Martin – QA280 or QA220 – Swimming underwater
21 April – Marcel, Leigh – QA 100 and QA120 – Probability
5 May – Martin, Leigh – QA065 and QA180 (both lecture theatres) – Statistics
12 May – Leigh – QA075 – “Second spiral”
19 May – Yuliia, Martin, Zack – QA075 – Mini-mocks
26 May – Yuliia, Marcel, Leigh, Martin – QA138 – Mini-mocks