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STEP Support Programme

General discussion

Mistake in Trig topic notes?

11 November 2017

https://maths.org/step/sites/maths.org.step/files/s2s3/Trig_topic_notes.pdf

In the commentary bit at the end of the symmetry section on the first page it says sin(-a) = sin(a) etc. I assume it means sin(-a) = -sin(a).

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STEP support - Assignment 2 (foundation modules)

9 November 2017

Can somebody give the final answer for question ii from the warmup section?

I've got an answer but it doesn't look quite like what I would've expected.

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STEP question numbers

7 November 2017

Hi all,

All the STEP questions in the assignments have the question number and paper year visible.

For Foundation assignments 1-25 this is on the webpage of the module. For the STEP II and STEP III modules the question numbers are given on the assignment pdfs.

If anyone finds an incorrect or missing one please let me know!

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STEP dates 2018

7 November 2017

The STEP dates for 2018 have been released, see http://www.admissionstestingservice.org/for-test-takers/step/dates-and-c....

Basically:

Feb 26th: Entries Extranet opens
Apr 27th: Standard entry closes
May 11th: Late entry closes
Jun12th: STEP I (am)
Jun18th: STEP II (am)
Jun21st: STEP III (am)

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Assignment 16 Step Q

29 October 2017

I'm on part 3 but i'm confused what i am meant to do now. I have got 8x^3 -6x-root2=0 after subbing in y as 2x but i'm not sure how I can relate this to the previous question because in ii the equation involves cos3theta but in this equation we have root 2.
Any help would be appreciated.

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Stats Questions: Q5

20 October 2017

iii) You will not be able to separate the players if $$r>n-r+1,$$ $$2r>n+1,$$ $$r>\frac{1}{2} (n+1)$$ ? On the solutions it has $r>\frac{1}{2}(n-1)$ as the case instead so I was a bit confused, is this an error in the solutions or have I missed something?
Thanks a lot

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Assignment 22 Q2iv

17 October 2017

I don't understand how you can show that $e^xe^{-x} = 1$? I understand that because of the differentiation it must be a constant, and that when $x=0 , e^x=1$, but how does this show that $e^xe^{-x} = 1$? I am possibly just being thick, or perhaps something is assumed which I thought wasn't meant to be?

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Assignment 17, question 1

12 October 2017

I'm not sure I get some parts of the modulo function. I'll run through what I did in the first part and then go through what I don't get about the second.

Okay, so for the first part I put that xmoda = (x+k)moda, where k is any multiple of a. Later, we get N1 + N2 = a(m1 + m2) + n1 + n2.
Therefore, if we put N1 + N2 into the modulo function under a, we get the same function as if we put n1 + n2. This worked for N1N2 as well.

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Floor is not "the integer part of"?

12 October 2017

I'm working through Assignment 3 again and I came across the floor function. This reminded me of something I started thinking about last year: Floor (x) is often defined informally as "the integer part of" and that's fine for positive numbers and zero, but is this definition true for negative numbers? As I understand it Floor (-2.5) = -3 whereas, the way I see it at least, "the integer part of" -2.5 is -2.

So, are Floor (x) and "the integer part of" not quite the same?

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Mixed STEP I and II Mechanics/probability questions

9 October 2017

Hi all,

The Mixed STEP I and II Mechanics questions and Mixed STEP I and II Statistics and Probability questions now have hints and solutions documents available.

Please let us know if you spot any errors!

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)