Zacken
Badges: 22
Rep:
?
#1
Report Thread starter 3 months ago
#1
Welcome to the 2021 STEP prep thread. This is the place to discuss, post problems, or ask any questions you may have regarding the exam!

Note about timings: based on previous threads, there are always some who will make a start in the 2020 summer holidays. Don't worry if you're not one of them! Most people will start seriously in January 2021, because that's when Cambridge will make their STEP offers. Please do not be put off if you read the thread and can't follow the thread. This thread is open to all, no matter what your level of preparedness - please ask your questions and hopefully someone will be able to help you. The only thing I ask is to read this first post in case it already answers your question.

If you are reading this ahead of Cambridge interviews, AEA, MAT and STEP I can be great practice for problem-solving, which is basically what the interview is about. Acknowledgements: most of this information has been collected by people taking STEP in the past so hopefully you'll find the resources here useful. Particular thanks to Lord of the Flies for making the original version of this and shamika for heavily updating it.

0. General information

What is STEP?

STEP is a series of three exams taken late June each year, usually in Year 13, almost always because it forms part of a university offer. Which papers are sat depends on the university.

STEP I is the easiest, and STEP II and III are meant to be of similar difficulty.

Until recently, STEP was a Cambridge entrance exam in everything but name. These days, the majority of STEP candidates are not Cambridge offer holders.

2021 exam dates

STEP I: TBC
STEP II: TBC
STEP III: TBC

STEP grading and typical offers

STEP is graded as follows:
S - Outstanding
1 - Very good
2 - Good
3 - Satisfactory
U - Ungraded

Remember that STEP is aimed at the top 2% of all maths A-level students, so it is meant to be hard. Typical offers are:

- Cambridge: 1, 1 in STEP II and III

- Warwick: A*A*A* without STEP, A*A*A with grade 1 in any STEP paper
- Imperial: require STEP if you missed the MAT deadline, or if you had a borderline MAT result

- King's College London: require STEP or AEA if you are doing AS Further Maths - rather than the full A-level

- UCL: A*A*A without STEP, A*AA with STEP grade 1 or distinction in AEA

- Bath: recommend, and will give alternate offers if STEP is offered

- Lancaster: AAA without Further Maths or STEP, drops to ABB if a grade 3 in STEP and Further Maths

- Bristol: reduced offer with STEP

What is the point of STEP?

I'll defer to Dr. Siklos:

(Original post by Dr Siklos;undefined)
From the point of view of admissions to a university mathematics course, STEP has three purposes.First, it acts as a hurdle: success in STEP is thought to be a good indicator of potential to do well on a difficult course.

Second, it acts as preparation for the course, because the style of mathematics found in STEP questions is similar to that of undergraduate mathematics.

Thirdly, it tests motivation. It is important to prepare for STEP (by working through old papers, for example), which can require considerable dedication. Those who are not willing to make the effort are unlikely to thrive on a difficult mathematics course.

From my perspective, these are all excellent reasons for aspiring mathematicians to give STEP a go. Note that there is something very important that STEP does not do. It is not meant as a bridging course between A-Levels (or equivalent) and university. In particular, STEP requires very little additional maths beyond what you are taught at A-Level. What is different is the style and ingenuity required to answer a STEP question compared to an A-Level question.

Note: You may have heard that Cambridge is introducing entrance exams at the interview stage for all students. The Mathematics Admissions Committee have confirmed that they will continue to use STEP for the basis of their admissions.

Exam conditions:

- Each paper is 3 hours long

- No calculators are allowed

- You are not given a formula booklet from 2019 onwards. You may use a formula booklet when practicing past papers, but Siklos himself has said that the formula booklet has never been essential.

- You are given a 40 page answer booklet with lined paper. The current rules state that you may not get additional answer booklets, so be wary of your usage. This is currently volatile and may change. The first three pages of the answer booklet are admin, where you have to enter your candidate information and questions answered so the marking process can be anonymized. Do not write your name anywhere in the answer booklet where it is not explicitly asked for.

Do all of your working in this booklet. Every year someone asks whether scrap paper is given. You have no need for it - the only way you can get marks is if the examiner sees your work. This includes all arithmetic / algebra that you would want to do on the side. You don't get marks for being neat, you get marks for doing correct maths.

- You are given no reading time, and therefore choosing the right questions is key.

If you're finding STEP hard...

You're in the right place - it is hard and this thread is designed to help you.Some stupendously intelligent people do not do well at STEP, either through lack of preparation or just a bad day. STEP is aimed at the top 2% of those who take A-Level mathematics. About 2100 STEP papers were sat in 2016, which equates to about 1000 people (because most people sat 2 papers). You have to be very good at maths to think about giving STEP a go.

That's not to say you can't prepare. If you're reading this, it means you want to do well. There are plenty of resources to help, including this thread. Most importantly, with practice and dedication, you have every chance of excelling. You do not have to be a genius to do well in STEP (but it does help of course ).

1. Required knowledge

- STEP I is based on A Level Mathematics. The paper has 11 questions across two sections: the first contains 8 pure questions, and the second contains 2 mechanics questions and 1 probability question.

- STEP II is based on A Level Mathematics and AS Level Further Mathematics. The paper has 12 questions across three sections: the first contains 8 pure questions, the second contains 2 mechanics questions, and the third contains 2 probability/statistics questions.

- STEP III is based on A Level Mathematics and A Level Further Mathematics. The paper has 12 questions across three sections: the first contains 8 pure questions, the second contains 2 mechanics questions, and the third contains 2 probability/statistics questions.

The specification changes do not mean that STEP is entirely different and you don't have any preparation resources. In the words of the ATS: "The style of the questions will remain unaltered, and most of the STEP questions from previous papers can be used for preparation."

If you are trying to prepare for STEP I, you really should cover the pure section of A-Level Mathematics - covering this material and being comfortable with it by January 2019 is highly recommended. If you want extension material before you cover C3 and C4, you might want to look at the MAT.

Krollo, Zacken and Number Nine have kindly categorised all questions by topic - see the spreadsheet in this post. STEP II questions here.

Dr. Stephen Siklos has very kindly created an online STEP question lookup database at http://stepdatabase.maths.org/index.html - the instructions on how to use it are provided on the site as well and it's an excellent tool!

2. The STEP Megapack

You can download the STEP Megapack from here: https://github.com/mzjp2/step-resources - the link contains instructions to download a zipped copy of the repository, but you should also monitor the repository for updates and additions. Feel free to suggest improvements or things you'd like to see. Also feel free to submit a pull request.

The megapack includes:
- Past papers from 1987 - 2019
- Official solutions (2004 onwards) and examiners' reports (2007 onwards)
- Both of Dr. Siklos' old booklets*
- Dr. Siklos' new book
- The grade boundaries for 2000-2019
- The old formula booklet
- A STEP questions spreadsheet.

The repository contains more information about each resource. More information about the (old) Siklos booklets:

1. Advanced Problems in Core Mathematics - 67 problems, some from STEP papers. This is the revised version of the original booklet, based on the current A-Level syllabus. More details are given than the original, with a nice intro. It is a good idea to start with this one.

2. Advanced Problems in Mathematics - 43 problems mostly taken from STEP papers, some adapted. As good as the first one but the problems are taken from older papers, so the Core Maths booklet is probably the most relevant.

Siklos has amalgamated the above booklets into a book: you can download this for free from the link at (it is also included in the megapack): http://www.openbookpublishers.com/pr...for-university

*Siklos has had an awful lot to do with STEP, including writing exams, being the principal examiner, organising the Cambridge Easter prep sessions and advising on the admissions process for Cambridge. These booklets come highly recommended and are a great place to start preparing for STEP.

3. Other Resources

- STEP Support programme and in particular their discussion forum is a Cambridge run website to support students taking STEP - it's a replacement to the STEP Easter school that used to be run. This is highly recommended and is the closest to "official STEP support" Cambridge offers, you'd be well placed to take a look at this!

- The Admission Testing Service "preparing for STEP" page - this will be the official place the 2017 papers will be released and is the official site for STEP.

- Individual STEP papers can also be downloaded from The Maths Orchard or Mathshelper or PhysicsMathsTutor

- A spreadsheet cross-referencing the Siklos booklets to STEP questions

- University of Warwick videos of worked STEP solutions (follow the links from this page).

- TSR hints and tricks

- STEP hacks and tricks (made by the 2016 year!)

- STEP Questions Database by Dr. Siklos

- Notes on Mechanics by Krollo

- Clean Slate Education

4. Solutions

If you're stuck on a problem, you're basically like every single person who has prepared for STEP. Do not look at solutions unless you've thought about a problem seriously (i.e. at least for more than one day), and have asked on this thread for help.If you do need the solutions:- The Megapack has all of the official solutions since 1996. Some of these are basically hints, which are better for you in the long run (because once you see a solution, the question is basically ruined for you).

TSR has worked solutions to most papers.
5. Marking and Grade Boundaries

All questions are marked out of 20. Best 6 answers contribute to your final score.

More information about marking schemes and grade boundaries can be found on the Github repository mentioned above.

6. FAQ

When should I start?

Whenever you want. January 2021 should be sufficient time for a good Cambridge offer holder to get a 1,1 if they work hard. Using that as a benchmark might be helpful (be honest with yourself about how good you are!)

Don't worry or feel intimated by the handful of people starting preparation in the summer of 2020, they are very much in the minority. As above, starting in January 2021 gives sufficient time to prepare.

I need inspiration before the exam...

This post seems very popular. I think it's useful well before the exam though. In particular, the stuff about knowing what A \Rightarrow B means, what "if and only if" means, and the fact that \sqrt {x^2} = |x| comes up again and again in STEP.

Can I get by with just the pure?

Maybe. But the applied is often straightforward and if you ignore it, you'll be in for a shock at uni because your first year may be up to 50% applied. Things that tend to be relatively simple:

- Mechanics: collisions, projectiles
- Statistics: definitions of a pdf/cdf, expectations, counting arguments for probability.

What should I leave as mocks?

Make sure that during your prep you cover the most recent papers as this is the best indication of the current difficulty of STEP. I do not recommend that you have to leave all of the most recent papers as mocks. You should see this post for a very detailed FAQ - no need to read it all!

Should I panic about the recently changed STEP specification?

No! There changes will not be particularly grand. It's simply a reshuffle of the content (which has never been the focus of STEP) to better fit the content you now learn as part of your linear A-Levels, which is a good thing. All the previous preparation resources and advice applies equally, the style of the questions should still be the same. There is some slightly new content that hasn't featured in STEP for a while (in particular, matrices) - maths.org/stpe has a few assignments and questions to help you get used to the STEP style of those questions, for example, here is the one for matrices: https://maths.org/step/step-ii-matrices-new

7. After the exam

This advice will be updated if the 2021 process is different to 2020.

If you are a Cambridge offer holder and have missed your offer:

- Check UCAS Track: your original college may have accepted you anyway. Congrats!

- If not, you may be in the summer pool. Call up your college and provide your A-level UMS - assuming this is good it may help your case. You should keep your emails / phone with you as you may be get told that another college has accepted you. Note that the pool has access to your actual STEP scripts, not just your marks, so they will be looking in detail for who to accept.

- Your best place for advice will be the TSR Summer pool thread, where experienced people will hopefully be on hand to deal with your situation.

No matter what happens, you have become a better mathematician for attempting STEP and if you're good enough to try it, you should have no problems being a success in whatever you do, wherever you end up!




Above all, best of luck!


Last edited by Zacken; 2 months ago
6
reply
CasperCat
Badges: 9
Rep:
?
#2
Report 3 months ago
#2
I’m attempting it in 2021 😬
1
reply
zetamcfc
Badges: 19
Rep:
?
#3
Report 3 months ago
#3
Zacken A lot earlier than usual, just trying to get it out the way ?
0
reply
S Winston
Badges: 4
Rep:
?
#4
Report 3 months ago
#4
Hi Guys, I'm an applicants to 2021 Entry Cambridge Mathematics. Hmmm, anyone considering starting a thread of 2021 maths applicants?(cuz I failed to find one...if there is already a one, can anyone send a link plz
1
reply
S Winston
Badges: 4
Rep:
?
#5
Report 3 months ago
#5
aha, I just started one here is the link: https://www.thestudentroom.co.uk/sho....php?t=6564354
0
reply
BrandonS15
Badges: 12
Rep:
?
#6
Report 3 months ago
#6
Attemping STEP in 2021
0
reply
jamiet0185
Badges: 13
Rep:
?
#7
Report 3 months ago
#7
Hi
Could somebody offer me some insight as to whether if you are asked to prove that a certain value for cosB is true like in the question below, would it be permissable to simply insert the value for cosB into an equation you've been given and show that it works?
If that doesnt make sense, hopefully you can see what I mean below:
Name:  image-cb1fba80-5eed-4354-a289-bc4b75f2ffc2655222739842995316-compressed.jpg.jpeg
Views: 145
Size:  83.0 KB
0
reply
liketorun
Badges: 9
Rep:
?
#8
Report 3 months ago
#8
(Original post by jamiet0185)
Hi
Could somebody offer me some insight as to whether if you are asked to prove that a certain value for cosB is true like in the question below, would it be permissable to simply insert the value for cosB into an equation you've been given and show that it works?
If that doesnt make sense, hopefully you can see what I mean below:
Name:  image-cb1fba80-5eed-4354-a289-bc4b75f2ffc2655222739842995316-compressed.jpg.jpeg
Views: 145
Size:  83.0 KB
When dealing with these questions, often it wants you to reach the answer that they want you to show, as a pose to using their answer in your work, so here when you get to the cubic equation in terms of cos(beta), you should solve that equation via factorising, here you should get three real solutions for cos(beta) (if my maths is correct ) , then to show cos(beta) = 3/4 ,its just a matter of rejecting the other two solutions, with justification. Hopefully this helps for future questions.

Also theres a little error in your cubic equation.
1
reply
asianism
Badges: 12
Rep:
?
#9
Report 2 months ago
#9
Hi does anyone know where to find some hard step 1 questions or step 2 and 3 questions that only require a level maths knowledge.
0
reply
theJoyfulGeek
Badges: 20
Rep:
?
#10
Report 2 months ago
#10
Is it worth doing the AEA or STEP as a NatSci applicant? Or is this just extra work which could jeopardise my application?

I've tried a few AEA papers and am getting distinctions, but I haven't tried STEP (yet! But I will soon!) Would it be worth doing the exams, or is this a stupid risk that could backfire? If I do them, which should I choose?

I've done all of the maths and further maths content (except stats, which I'm half way through), but I'm also not a Maths applicant, so this isn't really a
priority...

So, is it worth doing it or not? How risky is it?
0
reply
GreenCub
Badges: 19
Rep:
?
#11
Report 2 months ago
#11
Wow, this is an early start...

Just wanted to say good luck to everyone applying for maths at Cambridge or any other unis that require STEP next year. I got 1,1 in STEP this year and will be going to Cambridge for maths in October so I'd be happy to answer any questions you have about preparing for STEP.

(Original post by theJoyfulGeek)
Is it worth doing the AEA or STEP as a NatSci applicant? Or is this just extra work which could jeopardise my application?

I've tried a few AEA papers and am getting distinctions, but I haven't tried STEP (yet! But I will soon!) Would it be worth doing the exams, or is this a stupid risk that could backfire? If I do them, which should I choose?

I've done all of the maths and further maths content (except stats, which I'm half way through), but I'm also not a Maths applicant, so this isn't really a
priority...

So, is it worth doing it or not? How risky is it?
I wouldn't call doing STEP a "risk" for a natsci applicant. I wouldn't spend too much time preparing for it though because preparing for the NSAA and your interview (some colleges have at-interview tests) are far more important at this stage, although if you're applying for physical natsci then it might be helpful to do some STEP 1 (or perhaps STEP 2) questions, particularly mechanics so you can get used to more mathematical problems. It's not that uncommon for non-Maths applicants to take a STEP paper or two but I don't think it'd be the best idea to go out of your way too much to do lots and lots of preparation.
2
reply
Drogo Baggins
Badges: 10
Rep:
?
#12
Report 1 month ago
#12
Hi everyone - just found out today that James Munro of Oxford has started a MAT livestream prep course (found out a bit late - it started in June!). You can access past worksheets and videos here: http://www.maths.ox.ac.uk/study-here...mat-livestream

Whilst not STEP, there are some very nice questions and James is very good at communicating maths! There is also a nice video where he rips apart his (11 year old) personal statement.
3
reply
Integer123
Badges: 14
Rep:
?
#13
Report 1 month ago
#13
(Original post by asianism)
Hi does anyone know where to find some hard step 1 questions or step 2 and 3 questions that only require a level maths knowledge.
All the questions would probably be classified as 'hard' (apart from some of the older papers where you got a mix between very hard, average, and pretty easy questions). On the new syllabus, only STEP I can be guaranteed to use no FM content. On the old syllabus, STEP II did not use FM either. You might want to use the STEP database to look for certain questions on a topic and then check the year/number to see if you have the requisite knowledge. (There is, from my memory, a small-ish number of questions on STEP III that only used A-Level maths—but sometimes the FM is integrated within the question, so it can't be guaranteed.) I'd recommend taking a look at the resources in the opening post to this thread.
0
reply
Integer123
Badges: 14
Rep:
?
#14
Report 1 month ago
#14
(Original post by theJoyfulGeek)
Is it worth doing the AEA or STEP as a NatSci applicant? Or is this just extra work which could jeopardise my application?

I've tried a few AEA papers and am getting distinctions, but I haven't tried STEP (yet! But I will soon!) Would it be worth doing the exams, or is this a stupid risk that could backfire? If I do them, which should I choose?

I've done all of the maths and further maths content (except stats, which I'm half way through), but I'm also not a Maths applicant, so this isn't really a
priority...

So, is it worth doing it or not? How risky is it?
Maybe try emailing the relevant admissions departments. People might have different opinions—though unless you sit the exam before you apply (i.e. in Y12), I can't imagine the tutors would care that much (since anyone could say they'll sit AEA/STEP after applying and then fail/not do the exam).
1
reply
Drogo Baggins
Badges: 10
Rep:
?
#15
Report 1 month ago
#15
(Original post by asianism)
Hi does anyone know where to find some hard step 1 questions or step 2 and 3 questions that only require a level maths knowledge.
You could try looking at the STEP database (https://stepdatabase.maths.org/database/index.html) and searching for "C1". This should find STEP questions that only need the old C1 module content. It's not perfect though!

Pre 2019 STEP 2 Pure questions should only need A level knowledge (though this is based on the Pre 2019 A levels so might not be a perfect match).
0
reply
asianism
Badges: 12
Rep:
?
#16
Report 1 month ago
#16
(Original post by Drogo Baggins)
You could try looking at the STEP database (https://stepdatabase.maths.org/database/index.html) and searching for "C1". This should find STEP questions that only need the old C1 module content. It's not perfect though!

Pre 2019 STEP 2 Pure questions should only need A level knowledge (though this is based on the Pre 2019 A levels so might not be a perfect match).
Aight thanks
0
reply
thorpo
Badges: 3
Rep:
?
#17
Report 3 weeks ago
#17
Is anyone interested in creating a group where people share particularly interesting/challenging STEP problems, as prep for STEP 2021?
1
reply
zetamcfc
Badges: 19
Rep:
?
#18
Report 3 weeks ago
#18
(Original post by thorpo)
Is anyone interested in creating a group where people share particularly interesting/challenging STEP problems, as prep for STEP 2021?
I mean that's kinda how these threads work. Though not too many people at this point of the year.
0
reply
HMDN12
Badges: 9
Rep:
?
#19
Report 2 weeks ago
#19
What is the deadline for applying for STEP 2021? Can’t seem to find.
0
reply
Drogo Baggins
Badges: 10
Rep:
?
#20
Report 2 weeks ago
#20
(Original post by HMDN12)
What is the deadline for applying for STEP 2021? Can’t seem to find.
It will be similar to last year. Entries open about Feb time and I think final entries are in May. There is a "late fee" time period before the final entries close.
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

Current uni students - are you thinking of dropping out of university?

Yes, I'm seriously considering dropping out (33)
17.74%
I'm not sure (5)
2.69%
No, I'm going to stick it out for now (65)
34.95%
I have already dropped out (3)
1.61%
I'm not a current university student (80)
43.01%

Watched Threads

View All