I am confused by the mod calculation, could someone help me out?
I understand the reason why for example 14≡2≡-1 (mod 3)
However in the answer sheet, there are some operations without explanations which I cannot catch the idea.

Examples are:
2^n ≡ (-1)^n (mod 3)
125^m ≡ (-1)^n (mod 9)
5^n ≡ (-2)^n (mod 7)

when I take n as number in, I know the equation is right, but I don't know why the equation is satisfied.
If you ask me 5^n ≡ ? (mod 7), I won't be able to figure out by myself.

216 is missing in the first 10 cubes in the solution.

Hopefully someone will be able to clarify something small on STEP 3 Q1 2010. On every worked solution I've seen (e.g MEI step solutions/TSR solutions), when completing part (ii) the A^2 term isn't multiplied by 1/n . I understand why the summation does not remain, but surely a^2 will be multiplied by 1/n? Also in the notation for (ii), is the A^2 supposed to be with the (Xk)^2 and multiplied by 1/n, or not? Thank you in advance!

Hi all,

I have made some changes to the solutions file for the STEP II mechanics module. Please let me know if you find any mistakes!

The question says the particle is projected in a direction that makes an angle 60 with OB, but it is actually the "shadow" in the horizontal field that makes the angle 60 with OB according to the solution. I think it should be made clear in the question to avoid confusion.

Enjoyable assignment on series etc. With regard to warm-up question (i)(b), I noticed that a first term of 0.75 is problematic in that it yields a third term of zero and I thought this might merit some comment within the assignment itself or within the feedback notes.

Hi all,

You can find the materials from the state school offer holders days here: https://maths.org/step/materials-march-days-2018.

Has anyone been on or heard about the Villers Park Stepping Stones to STEP success course in the Easter holidays? The programme looks strange, and not particularly focused on STEP preperation, mostly composed of lectures on different topics that aren't really related. I was wondering if it would be useful or not, and if it expands on the Offer Holder day which I attended last week, and if it is worth spending 3 days at.
Thanks alot

Hi - I thought it might be useful to indicate where some STEP mark schemes can be found.

The Admissions Testing Service website has mark schemes for 2015, 2016 and 2017 (in the folders for STEP past papers for each year). These ones should be error free!

Hello,
I'm worried that soon I'll have run out of step past papers in the current format to do. Would you recommend doing the old format of questions or are they too different to be as helpful? Or are there any other banks of step style questions out there to tap into?
Thanks for your help.