Training STEP mathematics - admission test of mathematics for University of Cambridge

From 70 C$ /h

STEP is an additional admission test for high school students who want to read mathematics in University of Cambridge. It is more technical than A-level mathematics and hence it requires extra training.
My goal here is to help aspiring young mathematicians like me (several years ago) get S (highest grade in STEP) in all three STEP papers (STEP1, 2 and 3), thereby being not only prepared but also competitive for the best mathematical education in the best universities.
Besides, I will also introduce some concepts about mathematics that we learn in universities to enrich knowledge and provide a prospect of studying mathematics further.
Finally, I wish every success for my students and cannot wait to meet and become friends with you.

Extra information

To be ambitious for pursuing an undergraduate place to read mathematics in University of Cambridge

Location

Online from United Kingdom

About Me

MMORSE (Master of Maths, Operational Res, Stats, Economics) | 2021/09-present| University of Warwick
· Jointly taught by the departments of Statistics, Mathematics, Economics, and the Warwick Business School
· Modules: Statistical modelling, Algorithmic designing, Macroeconomics, Game theory, Accounting, Corporate finance…
· Won Academic Excellence Prize - Excellent performance in first year of a Warwick Statistics course
· Cumulative Grade (up to now): First Class Honours

Education

A-LEVEL | 2018/09-2020/06| Shanghai Experimental Foreign Language School
· Was offered an undergraduate place to read Mathematics in Churchill College, University of Cambridge
· Academic records:
Further Mathematics A*, Mathematics A*, Physics A*, Economics a (AS-LEVEL), Computer Science a (AS-LEVEL)

Experience / Qualifications

Statistical Arbitrage | 2023/01-present
· Currently interested in AH (a firm dual-listed in China Mainland and Hong Kong, respectively A-share and H-share) pairs trading, attempted to develop a hedging strategy in order to arbitrage if a statistically significant difference in AH market values occurs
· Made use of Backtrader framework to test this trading idea in algorithms and kept improving

Research & Valuation | 2022/06-2023/01
· To estimate future free cash flows to a firm based on fundamental analysis
· Used financial models such as the CAPM to determine components of an appropriate discount rate, e.g., cost of equity
· Applied DCF to value several companies in different sectors

Trading Trainee | 2022/01-2022/06| London
· Attended a program for training ambitious young traders in financial markets
· Learned about a trading framework combining a top-down macro industry analysis, a bottom-up selection of stocks to construct a diversified portfolio, technical indicators for market timing, risk management and performance metrics

Convertible Bond | 2021/06-2022/01
· Traded in convertible bonds in China Mainland and aimed to spot mispricing between a convertible bond and its underlying stock. Specifically, I focused on seeking an arbitrage opportunity on conversion premium.

Teaching Assistant | 2020/09-2021/06| Shanghai Huaer Zizhu Academy
· Was invited to cooperate on teaching high-school mathematics for 2 classes of about 20 participants each
· Designed and led mini research projects on transportation problems described quantitatively for interested students

Student Representative | 2020/03| Shanghai
· Participated in organizing a local maths summit for educators and aspiring students
· Was selected to give a speech in public about how I made self-learning in mathematics effective

IT Support | 2018/09-2019/06| Shanghai Experimental Foreign Language School
· Built, managed and continued updating official websites for my high school

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

120 minutes

The class is taught in

English

Chinese

Skills

Math

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Benoit

5.0

(41)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Kevin

5.0

(41)

► Online Mathematics, Physics & Chemistry Tutor from Switzerland
► GCSE, IGCSE, A-Level, IB & International School Support
I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my main academic focus was strongly connected to Mathematics, Physics, analytical thinking and problem-solving. This technical background shaped the way I teach today: clearly, logically and with a strong focus on real understanding.
► EXTENSIVE EXPERIENCE WITH GCSE, IGCSE, A-LEVEL, IB & INTERNATIONAL SCHOOL STUDENTS
With many years of teaching experience, I have successfully supported students from prestigious schools and highly demanding academic programmes, helping them strengthen their understanding, master exam techniques and achieve excellent progress in Mathematics, Physics and Chemistry.

► Exam Preparation & Academic Support

► GCSE & IGCSE Mathematics, Physics and Chemistry
I help students build a strong foundation through clear explanations, topic-by-topic revision and carefully selected exam-style practice. My lessons focus on understanding the core ideas, improving calculation skills, avoiding common mistakes and preparing students confidently for their final exams.

► A-Level Mathematics, Further Mathematics, Physics and Chemistry
A-Level subjects require deeper thinking, strong problem-solving ability and excellent exam technique. I support students with advanced concepts, structured revision, challenging practice questions and university preparation, especially for demanding fields such as Engineering, Medicine, Computer Science, Economics and Natural Sciences.

► International Baccalaureate — IB Mathematics, Physics and Chemistry
I provide structured support for both Standard Level and Higher Level students. My focus is on deep conceptual understanding, clear mathematical reasoning, scientific explanation and strong exam performance. Students learn how to approach complex IB-style questions with confidence and precision.

► International School Programmes
I support students following international, bilingual and private school curricula. Since every school can have slightly different expectations, I adapt my teaching to the student’s syllabus, textbook, teacher requirements and exam format, ensuring that the lessons are directly useful for school success.

► University & Foundation Courses
For older students, I offer support in Mathematics, Physics, Chemistry, Statistics and technical modules. I help students understand difficult theory, work through assignments, prepare for exams and strengthen the analytical skills needed for university-level study.

► How I Teach
► I focus on understanding, not memorisation.
I explain concepts step by step until the student truly understands why a method works.
► I adapt every lesson to the student.
Every student learns differently, so I adjust my teaching style, pace and examples individually.
► I simplify difficult topics.
Complex problems become easier when they are broken into clear, logical steps.
► I close knowledge gaps.
I identify missing foundations and rebuild them carefully so the student gains confidence.
► I train exam technique.
Students learn how to read questions properly, avoid common mistakes and solve problems under exam conditions.

► 100% COMMITMENT TO YOUR SUCCESS
With clear guidance, focused practice and a personalized learning strategy, I am fully committed to helping you understand deeply, improve consistently and achieve your strongest possible results.

► My Goal
My goal is not only to improve grades, but to help students become confident, independent and motivated learners. With the right guidance, Mathematics, Physics and Chemistry become clear, logical and much easier to master.
► Subjects: Mathematics, Physics, Chemistry
► Levels: GCSE, IGCSE, A-Level, IB, International School, Foundation Courses, University Modules
► Focus: Understanding, confidence, exam success and long-term academic progress.

Raef

5.0

(41)

The math, physics, chemistry, and SVT courses of the Swiss Maturity and Gymnasium program or French programs are given by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
Special program for Maturité and Terminale students.
As well as (International and European Schools in English).
The same goes for the start of the ECUS and EPSU academic year where the pupil can follow a complete preparation.
As well as for 1st and 2nd-year university students, can take courses in Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology and Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

David

5.0

(41)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Mohamed

5.0

(41)

I am committed to supporting each student through an active and personalized teaching approach. Drawing on my academic background and teaching experience, I provide high-quality support to help students overcome difficulties and achieve academic success.

My teaching is based on seriousness, attentive listening, and a supportive approach, allowing students to strengthen their skills and gain confidence in scientific subjects.

I offer tutoring in:
✅ Mathematics
✅ Physics-Chemistry

My courses are designed for students from the French educational system, including:

From 6th grade to final year
Students enrolled in French mission schools

Special focus on:
📚 Mathematics Speciality
📚 Physics-Chemistry Specialty

Each lesson is tailored to the student's level and objectives, with a strong focus on methodology, problem-solving, and exam preparation.

📩 Feel free to contact me for more information.

Jeremy

5.0

(41)

Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths.

Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 6 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching. In private teaching, I have experience tutoring people with learning disabilities (ADHD, Dyslexia, Discalculia and more), younger kids of ages 7-12 and older students preparing for their final baccalaureate exams in advanced maths/physics curriculums.

In my classes, I aim to:

- help students achieve better grades in exams/tests in all branches of Physics & Maths
- clearly explain and break down topics
- give context and or example applications of topics (to improve understanding and memorization)
- help with ADHD & other learning disabilities
- give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life.

Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Prashil

5.0

(41)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Reza

5.0

(41)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Fisnik

5.0

(41)

Are you taking a mathematics exam in the second session?
I offer intensive support to review the basics, target important chapters and practice effectively on typical exercises.

I support higher education students, particularly at university, college and Solvay/ULB, to understand important concepts, redo practical exercises and practice on typical exam exercises.

My goal is simple: to help you understand the logic behind the methods, know when to use each formula, recognize the correct reasoning in a statement and gain autonomy when facing exercises.

Subjects covered according to your program:

• Limits and continuity:
Calculation of limits, indeterminate forms, left-hand and right-hand limits, limits at infinity, horizontal, vertical and oblique asymptotes, continuity and behavior of a function.

• Derivatives and function analysis:
rules of differentiation, derivative of a composite, logarithmic derivative, increasing/decreasing, extrema, convexity/concavity, inflection points, variation tables and complete graphical representation.

• Optimization:
maximum/minimum problems, economic optimization, cost functions, revenue, profit, elasticity, choice of method and interpretation of results.

• Functions with several variables:
partial derivatives, gradient, differentials, two-variable optimization, local extrema, Hessian matrix, first-order conditions and economic interpretation according to your course.

• Constrained optimization:
Lagrange method, budget constraint, utility maximization, cost minimization, Lagrange multipliers and interpretation of results.

• Linear algebra:
vectors, matrices, matrix operations, determinants, inverse matrices, rank of a matrix, systems of linear equations, Gauss's method and solving systems.

• Sequels and series:
arithmetic and geometric sequences, limits of sequences, convergence, sums, simple series and economic or financial applications according to your program.

• Integrals:
antiderivatives, definite integrals, area under a curve, simple calculation methods, graphical interpretation and applications.

• Financial mathematics:
Simple and compound interest, capitalization, discounting, present value, future value, annuities, monthly payments, equivalent rate, effective rate, loans, repayments, NPV, IRR and basic financial applications.

• Exam preparation:
reading statements, choosing the right method, identifying the formulas to use, typical exercises, past exams, guided corrections and problem-solving methods.

Method of working :

1. We quickly identify the chapters that are causing problems;
2. I re-explain the theory with simple examples;
3. We redo the important exercises together;
4. I will show you how to recognize good reasoning in the exam;
5. We construct a clear method that can be reused independently.

I don't just provide a correction: I explain the reasoning step by step so that you are able to redo the exercises without help.

I have been giving private lessons for over 7 years in mathematics, statistics, economics, and accounting. I have also tutored first and second-year Bachelor's students at Solvay/ULB in mathematics, statistics, and microeconomics as part of a university tutoring program.

My professional experience in finance and business controlling at Deloitte has also allowed me to develop a very structured approach to numbers, analysis, financial models and problem-solving.

Courses available in French or English, online or in person in Brussels or the surrounding area.

Silvia

5.0

(41)

Children learn best when head, heart and hands work together.Numbers don't have to be scary. In my lessons, children experience math through rhythm, movement, stories and imagination, and discover why it works, not just how to get the answer.

*About the class*
Based on Waldorf pedagogy, this online class helps children aged 6–12 build a deep, lasting relationship with mathematics. Instead of drilling and memorizing, we start from the whole and move to the parts: from stories, images and hands-on activity to number sense and confident calculation.
This approach nurtures curiosity, concentration and confidence, so math becomes something children enjoy rather than endure.

Helena

5.0

(41)

Looking for a university Statistics tutor or Quantitative Methods tutor? I help university and postgraduate students with Statistics, Quantitative Methods, Data Analysis, Probability, Excel, statistical analysis and exam preparation.

I have a BSc in Statistics and 10+ years’ professional experience in data analytics with KKR, Dell and Deutsche Bank.

I provide clear, structured, patient support with difficult concepts, problem-solving, coursework, assignments and exam preparation, helping students understand the methods rather than simply memorise formulas.

Aws

5.0

(41)

I offer personalized mathematics lessons adapted to each student’s level, goals, and learning style.

As a first-year Bachelor of Science student at École Polytechnique and an experienced mathematics Olympiad participant, I focus not only on teaching formulas and techniques, but on developing mathematical reasoning, intuition, and problem-solving skills.

During the lessons, we can work on:

📚 Understanding and reviewing school mathematics concepts
✏️ Solving exercises and preparing for exams
🧠 Developing logical and problem-solving skills
🏆 Olympiad-style problems and advanced mathematics
🔍 Identifying and correcting gaps in understanding
🎯 Building a personalized study plan based on the student's goals

My goal is to make mathematics clear, rigorous, and enjoyable, while helping students become more independent and confident problem solvers.