STEP Mathematics: All exams from 1986 to 2018

STEP Mathematics is a type of examination used by colleges at the University of Cambridge as part of a conditional offer to read its mathematics undergraduate degree; STEP itself is an acronym for Sixth Term Examination Paper. Specimen papers, for the guidance of examiners and candidates, were issued in 1986. The first STEP Mathematics exams took place in summer 1987 and have continued every summer since then.STEP Mathematics is not just used by the University of Cambridge; it has been used, and continues to be used, by the University of Warwick as part of conditional offers to read its mathematics undergraduate degree, and the mathematics departments of many universities besides Cambridge and Warwick have, for some years, recommended that their applicants practise on STEP Mathematics past papers prior to arriving at university, even if they do not sit any STEP Mathematics papers officially.Including the specimen papers from 1986, there were three STEP Mathematics papers every year from 1986 to 2019, referred to as Papers I, II, and III, or as Papers 1, 2, and 3. Paper I was subsequently discontinued; the last Paper I was in 2019. Papers II and III have continued to be produced every year since 2019.This book contains all of the STEP Mathematics papers from 1986 to 2018 inclusive. The cut-off point has been chosen as 2018 for two reasons: firstly, the STEP Mathematics syllabuses were quite consistent from 1986 to 2018, but underwent modifications in 2019; secondly, candidates were allowed to use a formula booklet up to and including 2018, but not thereafter.In brief, this book contains:an informative Introduction;99 past papers;832 pure mathematics problems;321 mechanics problems;248 probability and statistics problems;1401 mathematics problems;the 2010 syllabuses;a formula booklet from 2011.This book is potentially useful to many people. It has the following five purposes:to help STEP Mathematics candidates prepare for their exam(s) by practising on past papers;to help students prepare for university mathematics courses;to help educators find inspiration for creating new mathematics problems;to serve as a repository of mathematical results;to serve as a collection of mathematics problems for anyone. Read more