is the person who comes to
to explain it"
Cambridge STEP and Oxford Entrance Examination papers
Cambridge and a number of other top universities either require
applicants to sit one of these papers or at least include completion as
an option in their offers, making them worth serious consideration for
the top end candidates. Unfortunately, very few schools and
colleges will be able to spare the time to coach for these tests, and
by their very nature there is no textbook to work through or methods to
learn. Questions are designed to require only the level of maths
you will have already encountered in your Maths (and sometimes Further
Maths) A-level courses, but require a level of understanding and
intuition not usually found in A-level examinations.
their very nature, a student can't be 'taught' to solve STEP problems,
but by working alongside a tutor who knows how to encourage good
problem solving technique, can provide useful tips and model suitable
procedures for tackling unfamiliar problems. You will develop a
much more thorough understanding of functions, dealing with more and
more abstract versions of familiar scenarios and learn what to look for
and how to go about dealing with a maths problem when it is nothing
like you've ever seen before.
The most useful thing you can do in preparation for your STEP paper
is practice lots of questions (see below for past papers).
next most useful thing you can do is find someone to work through
questions with. This can be another student, but often working
alongside someone with more mathematical experience will help you to
build the intuition necessary to deal effectively with these problems.
Note: These questions are designed to be challenging -
typically you will be expected to answer 6 questions out of 13 (only
your best 6 will be marked), so expect to struggle with the majority of
these. You will need to be able to identify which questions play
to your strengths, and be prepared to go down blind alleys, try a line
of thought and abandon it if it isn't working. You should not
expect me to answer every question for you straight away, but
rather work alongside you, giving advice and modelling a good approach
to problem solving. In the long run, students find this much more
valuable than someone simply rattling off solutions with no insight
into the process involved.
STEP papers & solutions 2004-2010 zip file
Past STEP papers for papers I, II and III including solutions.
is more than a tutor. He is a brilliant mathematician, an inspiration
and a mentor who is genuinely passionate about the subject and
furthering the knowledge of his students. Couldn't have done my A-Level
Maths and Further Maths without him. WOULD recommend. (Also makes
Sam, A-level Maths student