Any comments, questions or suggestion can be emailed to:

Below are some applications of advanced mathematics, a collection of thoughts, my university work and some educational resources. Some people humour me every now and then and show a vague level on interest so here it all is presented together. The links below take you to various different musings.

Personal page of Danny Hoskin                                   Teacher, Private Maths Tutor, PhD Student

I can offer online Maths tuition for students aged 11 to 18, Key Stage 3, GCSE, Core Maths, A-level and Further Maths. I have been teaching Maths for 10 years in a variety of settings across these ages and am currently Head of Maths at Paston Sixth Form College. Lessons are tailored to individual needs, delivered via screen sharing on Skype (free download version), and all lessons are saved for future reference. Lessons are arranged to suit both parties and last for an hour each session. Students are also free to email additional questions outside of lesson time for a prompt response.


In addition to teaching qualifications and being DBS checked I have a 1st class Undergraduate Degree, a Masters Degree,

and currently involved with research. My full CV is available to look at.


For further enquiries please email

Prices: £35 after each session, or £150 in advance of 5 sessions.




This section includes work on pendulums. It is a mathematical study into the motion of pendulums, including - most interestingly - mathematical and then experimental proof of how a pendulum can be made to stand on its end (as an inverted pendulum) by vibrating it’s pivot vertically. Also the idea is extended for a double inverted pendulum, and then explained mathematically for any number of pendulums.

Skipping Stones


Included on this page is the mathematics behind skipping stones. This is an extract from my MSc work which in general was about objects impacting on fluid surfaces. The whole MSc is also included.

Horse Racing Systems


I was interested in a couple of suggestions on horse racing systems that could be used to successfully place bets on horse raced based purely on the mathematics and no previous horse racing knowledge. There are two detailed systems, one that is a standard cumulative system, and the slightly more advanced binary logistic regression model.

Tea Experiment


It is a classic physics question… “If you require the tea to stay warmer for longer, should you put the milk in straight away or wait until you want to drink it?”. Here we did the experiment.

Football Strategy Part 1


Football Strategy Part 2


The links open up pdf files rather than a new webpage. It is split into two sections which will make sense when read through. The idea presented it using “lay-betting” on Betfair to guarantee making a profit on certain football matches. The idea is pretty sound but I have not been brave enough to see it through and would not to take responsibility for it of someone did and failed.

Functional Mathematics


This is a maths lesson resource website for teachers. I have created the website using work that I have done at school with another one of my colleagues.