Become confident with maths and get a Feeling of Power.


Current GCSE Student Comments

“My son has achieved so much in so little time, and tells me often that he ‘really likes maths’.  His mental maths and confidence have become phenomenal with Paul’s guidance and approach."  Helen


What I offer

One-to-One Maths Tuition

  • GCSE * IGCSE * 13+ * A-Level * University * Military Applications
  • Weekly Lessons or Intensive Courses
  • 98% success rate
  • Online or Face-to-Face
  • Availability between lessons for queries
  • Highly qualified, experienced and recommended DBS checked tutor
  • Plus
  • YouTube Course Now Available
  • ... now offer *Engineering*
  • Please
  • Contact me for a free 30-min assessment

Success! Yet another GCSE pass!


Ben came to me a few months before his GCSE, keen to make sure he passed. This is what his Mum, Helen, had to say:


"Paul worked with my son for around 3 months in preparation for his Maths GCSE. He was at the time predicted a 3 or at best a 4.
Paul has the ability to simplify or explain things in such a way that it just clicks into place.  My son was engaged during each lesson and as a result achieved a 5 in his GCSE which he is thrilled about as he can now study his chosen A level courses at College.
We have no doubt that without Paul’s guidance he could not have realised that potential." 





Jamie came to me to learn maths from scratch to get the qualification he needed for a job application. He took the intensive GCSE course over weekends in one month. He took the exam the next month.

This was his reaction on receiving his C grade (4).

"Paul, I am over the moon. So happy, words cannot explain. Thank you Paul. I can now apply for my dream job in May. Enjoyed my month of maths with Paul Carson and family."


I was also able to arrange the exam for him in a local centre. 


Contact me if you'd like you or your child to share that same feeling!


Maths Tuition - From GCSE to A-Level and beyond


About My Philosophy and Mission Statement

A private tutor for 22 years, I am a professional. Tutoring is my passion and I don't just do it as an extra. I'm fully aware of the issues that students have when they come to me. I am able to identify problems very quickly and know how to remedy them. This has led to helping students regain their confidence, achieve higher grades than expected, identify strong mathematicians that school have missed due to their one-size-fits-all structure, and allow students to reclaim their self-respect. However, most of all, students report to me that they begin to enjoy maths again, and even better, lessons generate a sense of excitement and a feeling of power

Although I charge more than the 'average' - this is why. Normally, private tutors teach the same way that the school does. But since the school method has not worked for you or your child, more of the same won't work! That's why I tutor in a completely different way. If you pay the average, you'll get an average tutor. 

My method's innovations include:


  • Far easier way to multiply that can be used in 11 different areas of maths
  • 3 simple rules to learn that are repeatedly used in all levels
  • Finally understand why we do algebra
  • Use of the same concept to do indices, multiply decimals, find areas, calculate standard form...
  • Subliminal teaching of algebra (and calculus) which makes them easier to explain and understand
  • Alternative quadratic formula to solve their equations easily
  • Learn to calculate percentages in your head or in a few seconds on paper
  • Unique explanation of trigonometry and how it works that way


For the A-Level course, it is all of the above plus


  • Genuinely understand differentiation and integration as I initially explain them using numbers and pictures only
  • Know why you're solving quadratics (and cubics!) and how to solve one in seconds
  • Mastery of the binomial theorem and its hidden use in many aspects of maths
  • Utilise Pythagoras' theorem in more ways than you realised

Having taught hundreds of students in 22 years, I have a lot of experience with students

  • who have lost their confidence
  • who don't understand what their teacher is saying anymore
  • who can tackle questions in class, and not in the exam
  • who just feel lost. 

Although these are often the most common reasons my services are required, I am also able to help advanced students and push them further by testing their understanding or showing them new ways to look at ideas. I take a patient approach for all, which has led to a 98% success rate amongst my students and 100% in 2013 and 2017 in particular.

Futhermore, for every lesson that I provide, I make an unique and accompanying recap video for consolidation between lessons. As they are on YouTube, they can be watched as many times as the student likes. This really improves understanding and retention and has been a massive hit with my current students. See below for an example video.

Casio FX991EX

This is the calculator I recommend. This is allowed in all GCSE/A-level exams and has many great functions. (~£22)



Casio FX-50

If you want a calculator that does everything, I recommend this!

Click above to buy.




GCSE Higher

This book for iPhone/iPad or Kindle will help you understand the lessons you take.

Click above to buy.

17***** Reviews




This guide published in 2010 contains an interactive audio visual course on numbers, taught to 2 students. 

15 ***** Reviews

13  **** Reviews



Your tutor

My passion is tutoring maths in an interesting and exciting way. Phone or use the form!




ABOVE: I was extremely gratified and pleased to receive this message after the GCSE results of 2016. 

(See below for update in 2018!)

My own method for doing maths is far superior to school's outdated and boring offerings. Every concept that is learnt at school is taught by me in an easier way, which leads to interesting lessons and ideas that put it into a relevant context. Everything is explained WHY it is, rather than being told 'it just is' at school. The video below shows just one of these many improvements, where one of my students demonstrates how to multiply numbers extremely easily. This new method has been published by the UK's largest publisher and is also in Kindle edition form on Amazon. I get messages from people all over the world who tell me their method has 'finally' helped them, as they've struggled for years until they read my book. I have also created an online video channel for students to be able to revise a method as many times as they like!

As tutoring maths is my passion as well as my profession, it still gives me a buzz when a penny drops for a student. One of the joys of my method is that not only do you become far better at maths, no matter where you start from, you begin doing things that are far beyond your expected ability, and you similtaneously lose any feeling of shame and reclaim your feeling of self-worth. Parents recommend me often and I can provide over 100 separate glowing references.

I love learning and it is my aim to instil that in my students. My motto is: "Get ready... for anything." My method teaches my students to be ready for any question by being able to think logically for themselves. And, I'm always studying something myself to remind myself what it is like and to get ready... for anything. For example, I've recently finished an Engineering degree with the Open University, I'm learning Polish and the piano, and recently completed advanced motorcycle riding lessons. 

As a mathematician, I am also able to detect and realise latent mathematical ability in students, as well as push those who have already been identified as being gifted and talented.

Apart from lessons on a weekly basis, I offer a 5 day intensive GCSE course and a 7 day intensive A-level course. These have worked extremely well and every student I have taught this way has got the grade required. These are bespoke packages tailored to you. The location can be your choice, materials required are provided by me and I guarantee the grade requested. For more details click here.

However, it's difficult to tell just from this blurb what I'm like. The best thing to do is for us to contact each other. Once we have a discussion about your requirements, I feel sure you'll be willing to give me a try!

Please use the contact form or phone and I will be in touch as soon as possible.


The course itself is also in the process of being made available on YouTube and the first video in the series is below. You can get an idea of my method and my personality from here! 

If you'd like to support my video course creation you can donate any amount at the button above.

Thank you!

Paul Carson BSc BEng (Hons) AMIMA

Selection of Qualifications

Bachelor of Engineering - BEng (Hons) (Open) 2020

BSc Pure Science (University of St Andrews) - 2002

A at A-Level Maths 

A* at GCSE Maths

Level 3 Award in Teaching and Education - 2016

NVQ in Aeronautical Engineering

IGCSE French 

IGCSE Spanish 

IGCSE Italian 

GCSE Polish 

Engineering the Space Shuttle 16.885x with MITx

Completed IAM advanced motorcyle rider training with IAM Roadsmart

Current Projects:

Learning the Polish and Irish languages and doing piano grades

Tutoring Experience: 

22 years as a private tutor of all ages from 10 upwards with some school experience in Lincolnshire.

I've tutored in Lincoln since 2005, with some work in London, online (I currently have a student in Australia!) and secondary schools in Lincoln and Cumbria. I have also published many books on my method to positive reviews.

Our Initial Meeting... 

My approach is to first identify any issues the student has via an assessment. From this I can develop a strategy for the student to understand maths more easily, which they can take on board to increase in confidence, knowledge and ability. The student will begin to find maths much more easy than they had previously thought. The normal pattern is that the student has failed by using school techniques, so repeating more of the same won't work! My methods are logical, easy and intuitive.

2 years on! More good news...

Recommended Books and Courses

First Choice

If you're studying engineering, this is a great starting point. Lucidly explained and with questions to think through as you go, I've found no better book at this level.




Once you've moved on from the previous book, this one takes you further into mathematics to give you a good all-round understanding of what can be achieved in engineering maths.



Très facile!

After years of lessons at school, it was only this course that helped me understand French to become a confident and surprisingly fluent speaker.



Learn Easily!

Polish is one of the hardest languages I've ever learnt. This course gives you a fantastic start and you'll be wowing native speakers in no time. 



New Book

This is an update of my method since it was written in 2014. Contains new concepts designed for later work. For a sneak peak, click to buy!



A Presentation On A Fast Way to Solve a Quadratic - In Your Head!
For your interest: a 5-minute presentation I wrote on how to solve a quadratic in your head. Best viewed on PowerPoint.
Paul Carson.pptx
Microsoft Power Point presentation [919.5 KB]

Courses Available

One of my inspirations - Dr Richard Feynman
  • 1 to 1 tuition on a weekly basis
  • Intensive 4-day or 7-day courses
  • Online tuition via Skype and Scribblar Whiteboard

Your form message has been successfully sent.

You have entered the following data:

Contact form

Please correct your input in the following fields:
Error while sending the form. Please try again later.

Note: Fields marked with * are required

Please be aware that the contents of this form are not encrypted
Print Print | Sitemap
© Paul Carson Maths