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STEP Support Programme

2006 STEP 2 Q6

The question on the question paper does not match the solution given. As shown in the link below:

http://postimg.org/image/p85p25oyn/

I think that the question is not the correct version. Firstly, it is way too easy, you just need to set a=1, b=c=2. Secondly, both the solution they give and people in TSR gives the answer x=7. Thirdly, it is completely unrelated with part ii, a huge massive jump from i to ii.

Am I correct to think that the question is not right. If so, any idea where I can find the correct question paper? I tried finding on the internet, but so far everything I found are the above version.

Thank you!

Yes, part $\mathrm{(i)}$ is just a simple application of the preceding part and setting $a=1,\; b=2$ and $c=2$ is correct. I have no idea where $x=7$ comes from but the bit your circled in the solution I think is supposed to be read as a sentence i.e. $x=\frac{1}{2}\mathrm{this}$ where $\mathrm{this}=y=z$.

Also, part $\mathrm{(ii)}$ is related to the very first part of the question as you can use the very first part to calculate the solution. I'm sure there are other methods as well but I think the questions leads you to this particular method.

Thank you for your reply! Actually, my suspicion about the question is right. I have found the correct version of the question, as shown in the link below:
http://www.mathshelper.co.uk/STEP%20II%202006.pdf
So that version of the question is actually missing a sentence. Do you have any idea how I can tell the people at the STEP website that they have used the wrong version?
http://www.admissionstestingservice.org/for-test-takers/step/preparing-f...
Otherwise, I think many more people like me will suffer in the future. It is not only this question which have a sentence missing. There is at least one other question on the paper that have a sentence missing. I know that because when I went to the STEP Easter school, I saw that correct version.

Cheers.

In 6ii - how do you know which vectors to use for [a b c] and [x y z] - is there any problem solving techniques to solve these kinds of questions? - i.e spotting key terms in the equations to help you choose the above vectors?

Bit late to the party here. Just spent hours thinking that (i) lead into (ii). Had the entire question been there, it would've been more obvious that a different vector needed to be used :(

2006 is before the Admissions Testing Service had anything to do with STEP (It looks like OCR was administrating them then).

I have let the powers that be know.

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)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)