MATHSHELPER FOR STUDENTS


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Go here to find all STEP past papers since 1998; there are quite a few mark schemes to help you too. You should also find the examiners comments useful; if you find a question too hard to start, it's always nice to see a comment like “very few candidates made any significant progress with this problem”...you are not alone :-)

There is a world of difference between trying a question for 10 minutes and then looking at the answer and working through a problem for yourself. If I were you I would attempt a question over the course of a few days and only then going to look at the solution.

The best two documents to help you prepare for STEP are the two superb booklets by Stephen Siklos from Cambridge University:

Advanced Problems in Mathematics
Advanced Problems in Core Mathematics

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Other Documents

Some Oxbridge Maths Questions (mostly from a Trinity Cambridge Interview Test)
How Do Undergraduates Do Mathematics (Thanks to Brian of Cornwall)
Trinity Cambridge 1997 Test (Thanks to Brian of Cornwall)
Trinity Cambridge Question Analysis (Thanks to Brian of Cornwall)
University Of Wales Scholarship Exam 2003 (Thanks to Brian of Cornwall)

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STEP Past Papers

STEP contains some truly wonderful questions to test your understanding of a topic (or a mixture of topics). However, they are designed to be very hard indeed to test the very top end of A Level candidates, so don't get discouraged if you can't do a question straight away; keep coming back to it and mulling it over in your mind. The two Stephen Siklos booklets (above) are the best place to start (the first one is what I used at school).

[For the papers prior to 1998 I scanned in the originals and then put the images into a TeX document. Being a fool, I then put a footnote at the bottom of each page that I now regret, but because my old laptop was stolen I cannot now change this; IF I COULD I WOULD.]

1987 Paper 1 Paper 2 Paper 3
1988 Paper 1 Paper 2 Paper 3
1989 Paper 1 Paper 2 Paper 3
1990 Paper 1 Paper 2 Paper 3
1991 Paper 1 Paper 2 Paper 3
1992 Paper 1 Paper 2 Paper 3
1993 Paper 1 Paper 2 Paper 3
1994 Paper 1 Paper 2 Paper 3
1995 Paper 1 Paper 2 Paper 3
1996 Paper 1 Paper 2 Paper 3
1997 Paper 1 Paper 2 Paper 3
1998 Paper 1 Paper 2 Paper 3
1999 Paper 1 Paper 2 Paper 3
2000 Paper 1 Paper 2 Paper 3
2001 Paper 1 Paper 2 Paper 3
2002 Paper 1 Paper 2 Paper 3
2003 Paper 1 Paper 2 Paper 3
2004 Paper 1 Paper 2 Paper 3 Solutions
2005 Paper 1 Paper 2 Paper 3 Solutions
2006 Paper 1 Paper 2 Paper 3 Solutions
2007 Paper 1 Paper 2 Paper 3 Solutions Report
2008 Paper 1 Paper 2 Paper 3 Solutions Report
2009 Paper 1 Paper 2 Paper 3 Solutions Report
2010 Paper 1 Paper 2 Paper 3 Solutions Report
2011 Paper 1 Paper 2 Paper 3 Solutions Report
2012 Paper 1 Paper 2 Paper 3 Solutions Report
2013 Paper 1 Paper 2 Paper 3 Solutions Report
2014 Paper 1 Paper 2 Paper 3 Solutions Report
2015 to come...

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Cambridge Admissions Test

Cambridge Admissions Tests 1983 (Maths 1,2,3 & Physics)

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Oxford Mathematics Admissions Test

As always, if you have any of the missing papers, please email them to me at
jonathan.m.stone AT gmail.com and I can put them here.

Sample Paper 1 Solutions
Sample Paper 2 Solutions
Three questions from unknown Paper
1992 Paper 1 1992 Paper 2
1993 Paper 1 1993 Paper 2
1994 Paper 1 1994 Paper 2
1995 Paper 1 1995 Paper 2
1996 Paper Solutions
1997 Paper Solutions
1998 Paper Solutions
1999 Paper Solutions
2000 Paper Solutions
2001 Paper Solutions
2002 Paper Solutions
2003 Paper Solutions
2004 Paper Solutions
2005 Paper Solutions
2006 Paper Solutions
2007 Paper Solutions
2008 Paper Solutions
2009 Paper Solutions
2010 Paper Solutions
2011 Paper Solutions
2012 Paper Solutions
2013 Paper Solutions
2014 Paper Solutions
2015 Paper Solutions
2016 Paper Solutions

The Physics Admission Test also has some mathematics questions.

Maths For Physics Specimin Paper 2000 (Thanks to Brian of Cornwall)
Physics Sample Paper

Physics Paper 2006 Report
Physics Paper 2007 Report
Physics Paper 2008 Report
Physics Paper 2009 Report
Physics Paper 2010 Report
Physics Paper 2011 Report
Physics Paper 2012 Report
Physics Paper 2013 Report

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Advanced Extension Award (AEA) Past Papers

AEA contains some good questions but they can be very fiddly, rather than interestingly challenging.

2002 Paper Solutions
2003 Paper Solutions
2004 Paper Solutions
2005 Paper Solutions
2006 Paper Solutions
2007 Paper Solutions
2008 Paper Solutions
2009 Paper Solutions
2010 Paper Solutions
2011 Paper Solutions (thanks to Kevin)
2012 Paper Solutions
2013 Paper Solutions

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S Level Past Papers

I am very keen to get hold of old S Level Papers. If anyone has them please email me on jonathan.m.stone AT gmail.com and I can host them here. Many thanks.

1962 Scholarship Paper (Thanks to Brian of Cornwall)
1970 Special Paper (Thanks to Brian of Cornwall)
1972 Special Paper Solutions (Thanks to Patrick Freyne)
1984-87 Special Paper Pack (Thanks to Mark Lefley)
1992-95 Special Paper Pack Solutions