Year 12 Advanced Problems Course



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.

The problems in the course are based year 12 pure mathematics topics but are unstructured and challenging. Students on the course are expected to do preparatory reading prior to the problems classes.

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.


  • The development of students' mathematical thinking.
  • Increasing students' condence in solving unstructured problems.
  • Improved preparation for the MAT, TMUA, AEA and STEP examinations.

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.


The course covers a wide range of mathematical disciplines with problems. These can include:

  • Algebra: the difference between two squares and other identities
  • Geometry: angles, triangle and circles
  • Number: digits and divisibility
  • Algebra: forming and solving equations
  • Combinatorics: systematic counting
  • Number: prime factorisation, fractions and irrationals
  • Algebra: sequences and series
  • Number: indices and logarithms
  • Algebra: quadratics, cubics and other polynomials
  • Geometry: trigonometry
  • Combinatorics: further systematic counting and placement
  • Geometry: coordinates and vectors
  • Calculus: curve sketching and differentiation
  • Calculus: integration
  • Combinatorics: the binomial expansion

Other Information

The first session will be in October 2022, and the course will run until April 2023. The exact dates (and timings for the face-to-face classes) will be announced in late August.

Students who attend regularly will obtain a University of Leicester School of Computing and Mathematical Sciences Certificate of Participation.

Students who attend regularly and submit the course assignment will obtain a University of Leicester School of Computing and Mathematical Sciences Certifcate of Achievement.


The course is free for all year 12 students.

Key Facts

Event ref:




Target year:

Year 12

Curriculum focus:

University admissions tests

Mathematical focus:

Problem solving

Event format:

Student course

Event length:

20 hours


East Midlands


University of Leicester


Mon 3rd Oct 2022

Course times:

16:30 - 18:00


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

Stephen Wilkinson
[email protected]

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