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STEP Support Programme

General discussion

STEP II curve sketching question 2

21 February 2018

Hello,

May someone explain to me how detailed answers are expected to be ?

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STEP II Curve Sketching module

21 February 2018

Hi,

There is something which disturbs me in the STEP II curve sketching module "About this assignment" part. It states that STEP papers may not ask us to draw a graph, yet I have seen past papers up to 2014 asking to sketch a graph, and curve sketching is still an expected skill in the syllabus. Is it a typo or have I misunderstood the statement ?

Thank you !

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Cambridge state school offer-holders day 2018

8 February 2018

Hi all,

If you have an offer for Cambridge which includes STEP II and STEP III, and you are UK domiciled and attend a UK state school then you should have received an email inviting you to a STEP preparation day in March.

If you have any questions about these days then please ask! Also, if you meet the above criteria but have not received an email please contact us and let us know https://maths.org/contact.

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Assignment 7, Q4

18 January 2018

In Q4(ii)(b) the answer subtracts 1 from 3^n for the scenario where there are no weights on either scale. However the Q states the inclusion of weighing 0 pounds. Is there a mistake in the answer or am I missing something?

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Assignment 2 little typo

17 January 2018

I think Question 2(iii) should read "Sketch $y=mx+1$ ..."

Thank you very much for these; invaluable for our STEP candidates and their teachers!

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Are there any years left as past papers?

14 January 2018

I would like to leave some years as past papers in May, so I wanted to check: are there years you have left out of the modules?

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STEP3 stats Q2

11 January 2018

In the first part of question 2 of the STEP 3 stats questions (https://maths.org/step/sites/maths.org.step/files/s2s3/Stats3_hints.pdf) it gives general PGFs G(t) and H(t) for two random variables and gives another random variable, Y, defined in terms of the previous two. It then says "Given that the pgf of Y is G(H(t)), show that...".

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Q2 Curve sketching S2

10 January 2018

How do you know that the curve has rotational symmetry of 2 around the inflection point, apart from it being implied for the last result to be correct? Would you have to show that it does in the exam, or could you just state it?

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Assignment 10, STEP question ib

5 January 2018

Happy New Year STEPpers !

Looking at the aforementioned bit of the STEP question in this assignment, I notice that candidates are invited to show that f(N) is an integer 'for all N' , where f(N) has only been defined for N in Z-plus.

This surely leads to an 'embarrassing bit' at the end, where all one can do is say that until a form of f(N) , true for all N, is presented (or found, presumably by us), it is not possible to extend a result for f(N) : N in Z-plus to a result for all N.

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Vectors: 2002 S2 Q7

23 December 2017

I have two questions about the first part of the question ( and the solution given on the 'Vectors' S2 module):

1. When expressing $m_{3/4}$ as a general 3D vector, why can we just assume that the direction is the same for both vectors wouldn't we need $a\vec{i}+b\vec{j}+c\vec{k}$ for $m_3$ say and then $k\vec{i}+m\vec{j}+n\vec{k}$ for $m_4$? This is why I got stuck initially.

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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)