Year 12 Regular Problem Solving Classes

Mile End


A series of maths problem-solving sessions designed to give students the confidence to apply for university courses that require or take into consideration achievement in an admissions test.

These regular classes offer students the opportunity to develop mathematical problem-solving skills through discussion and collaboration. They are designed to help students to develop strategies and confidence when tackling unfamiliar problems in maths and will help with preparations for taking advanced papers such as the MAT, TMUA and STEP examinations.

At the same time, the problems used in the course are fun and rewarding. Attending the sessions will greatly enrich students’ mathematical experience and help them to develop a better understanding of A level Mathematics.


  • To develop initial strategies when dealing with maths problems
  • To develop confidence when dealing with maths problems
  • To provide some initial information about the problem solving involved in university admissions tests
  • To provide a platform on which to build secure problem solving techniques
  • To develop tenacity when dealing with maths problems

Who will benefit from attending?

The course is designed for any A level Mathematics students who have an enquiring mind and wish to develop their problem solving ability for their A level studies and beyond.

It is particularly useful for those students who wish to make the first steps in preparing for university admissions tests such as the MAT, TMUA and STEP examinations.


All sessions are on Wednesdays between 4 and 6pm.

  • 30 October – Algebra: The difference of 2 squares & other identities
  • 6 November – Geometry: Angles, Triangles & circles
  • 20 November – Number: Digits & Divisibility
  • 4 December – Algebra: Solving Equations
  • 18 December – Combinatorics: Counting
  • 15 January – Number: Prime factorisation, fractions & irrationals
  • 29 January – Number: Indices & logarithms
  • 12 February – Geometry: Trigonometry
  • 26 February – Algebra: Quadratics, cubics & other polynomials
  • 11 March – Geometry: Coordinates & vectors
  • 18 March – Calculus: Curve sketching & differentiation
  • 25 March – Calculus: Integration

If you would like to book places for your students, please contact James Morris.

We are also running a similar course at Kingston University.

Materials and Equipment

Students do not need any special equpiment for the course although a smartphone with the GeoGebra or the Desmos apps installed may be useful.

Other Information

The following problems provide a taste of the sort of problem solving that will be encountered in the classes

Problem 1: How many primes greater than two can be found that are one less than a square number?

Problem 2: How many pairs of integers can you find that satisfy the equation \(x^2–y^2=45\)?

Key Facts

Event ref:




Target year:

Year 12

Curriculum focus:

University admissions tests, A level Mathematics, A level Further Mathematics

Mathematical focus:

Pure, Problem solving

Event format:

Student course

Event length:

20 hours


London and South East


Queen Mary University of London,
Mile End Road,
E1 4NS


Wed 30th Oct 2019

Course times:

16:00 - 18:00

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If you have any queries about this event, please do not hesitate to contact:

Teacher Support Admin Team
[email protected]
01225 716494

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