Next Step Maths
STEP Tutor, TMUA Tutor and University Admissions Specialist
I’m Nicole Taylor, a Mathematics graduate of the University of Cambridge, a specialist STEP tutor, expert TMUA tutor and university admissions coach for ambitious university applicants applying for a mathematical or scientific degree.
Through 1-to-1 online tuition and carefully designed resources, I help students prepare for STEP, MAT and TMUA, building the deep problem-solving skills and exam technique needed to succeed at the highest level.
Explore the resources below to strengthen your preparation and approach your exams with confidence.
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About The Tuition And Resources I Offer
This site was created to give you everything you might need to prepare successfully for mathematics-related university admissions in the UK. Whether you’re aiming for Cambridge, Oxford or another competitive university, you’ll find structured guidance, carefully organised resources and practical advice designed to support you at every stage of the process.
Most of the content on this site is completely free, because cost should never be a barrier to academic ambition. You’ll find past papers, worked solutions, preparation guides, FAQs and topic-based resources to help you build confidence and depth of understanding.
For students who would benefit from more personalised support, I also offer a range of paid services, including specialist STEP tutoring, TMUA tuition, university interview preparation and admissions coaching, as well as A Level Maths and Further Maths tuition.
Scroll down to explore the resources available and find the right support for your goals.
One-To-One Tuition
I’m a Cambridge Mathematics graduate and an experienced online STEP tutor and TMUA tutor, specialising in university mathematics admissions tests and university interview preparation. I also provide expert tuition in A Level Maths and Further Maths, helping students build confidence, sharpen problem-solving skills and achieve top grades.
Since 2019, I’ve supported hundreds of students worldwide in securing Oxbridge offers and excelling in their admissions tests and A Levels. My teaching is fully personalised, with each lesson tailored to a student’s strengths and areas for improvement.
University admissions tests can be challenging, but with focused preparation and the right guidance, success is within reach. Whether you’re preparing for STEP, TMUA, or interviews, I’ll guide you through every stage of the process.
Nicole is an excellent tutor who provides her students with exceptional support for TMUA preparation.Her teaching style is very engaging and structured over the months leading to the final examination.She instills confidence in her students and provides tips to tackle challenging problems. I thoroughly recommend her.
Nicole worked with my son for 18 months to prepare him for maths university entrance exams. She was extremely helpful. I cannot recommend her enough.
Nicole has been such a wonderful tutor thought GCSE and A level maths. She had always been so supportive in her approach and can always think of different ways to explain difficult concepts. Especially through the exam periods, she has always been keen to help in any way she can, and will help explain questions outside of tutoring sessions. Thank you very much Nicole- I couldn’t have done it without you !!
Thank you so much Nicole, you have been amazing at helping my son through these past 2 years. The subjects haven’t been easy for him, but your help has made the learning so much smoother. You’ve been so great in responding to his questions on WhatsApp whenever he was unsure. Once again, thank you so much from me! From Arjun: Nicole has been a fantastic tutor who has helped me achieve A*A* in Maths and Further Maths, as well as achieving a very strong grade in TMUA (top 10%), allowing me to receive offers from prestigious universities – which I feel is an incredible achievement for me, given I am not a natural mathematician. She has been excellent at explaining complex mathematical ideas in a simple, intuitive manner, focusing on both theoretical understanding and practical technique to answering questions. With her help, I have been able to use her tips and tricks to improve my exam technique, especially useful for the TMUA, allowing me to save time and work through questions efficiently. Her approach to teaching and explaining has meant that content I would’ve struggled over for hours and hours, is tackled in a single session. In addition, Nicole has extensive understanding of the exam board and knows the different styles of questions that tend to come up, allowing me to target my revision and save so much time. Nicole is warm, kind, and caring – she genuinely wanted to see me succeed. Thank you so much Nicole for everything these past 2 years. I honestly couldn’t have achieved my grades without you. Arjun
Nicole has been an amazing tutor. She helped me to prepare for STEP through online sessions on zoom and focused not only on my weaker areas to ensure that I could attempt all of the questions but also my stronger areas so that I could achieve higher marks in those topics. Nicole had new questions for me to try every week and allowed me to work through them, only giving me hints when I really needed them which helped to push me as much as possible.
Nicole has been of great help to me in my preparation for the STEP 2 and 3. She taught me invaluable mathematical tricks and showed me quicker and more elegant alternative solutions to difficult problems I solved, expanding my horizon. Nicole made me work on a broad variety of problems, giving me a sense of security and making sure that I don’t miss out on problem types that often come up. After we’d touched on most areas, she focussed on the topics I wished to consolidate and adapted her teaching perfectly to my needs. To sum up, Nicole was the perfect tutor for me, and I would recommend her to anyone preparing for STEP or a similar examination.
Nicole's preparation to Oxbridge maths interviews is brilliant. She is patient, thorough and available for any clarifications during and after the sessions.
STEP Tuition and Resources
Access specialist STEP tuition from a Cambridge Mathematics graduate, explore detailed FAQs, and use a fully searchable database of every STEP question and paper (1998–present). Find questions organised by topic, complete past papers with mark schemes and examiner insights, and follow a structured guide on how to prepare effectively for STEP 2 and STEP 3.
TMUA Tuition And Resources
Achieve your best possible TMUA score with expert one-to-one TMUA tuition tailored to your current level and specific goals. Alongside personalised support, you can practise using the TMUA Exam Simulator, designed to replicate the real computer-based testing environment, allowing you to complete full papers with a countdown timer, realistic navigation, and the same on-screen format you’ll experience on test day. You’ll also have access to a comprehensive library of TMUA past papers with detailed solutions and answer keys, as well as clear, concise TMUA FAQs covering the exam format, scoring, and effective preparation strategies.
TMUA is frequently required by leading universities, such as the University of Cambridge, Imperial College London and Durham University, as part of their mathematics, economics and related degree admissions processes.
A Level Maths And Further Maths
Strengthen your A Level performance with focused A Level Maths and Further Maths Tuition tailored to your exam board and individual goals. I have extensive experience supporting both UK and international students across all major specifications, including Edexcel, OCR and AQA. Alongside structured lessons, you can practise using carefully curated resources from ALevelMathsRevision, designed to target key topics, sharpen exam technique and streamline your revision for maximum efficiency and confidence.