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.


  • To develop students' mathematical thinking
  • To increase students' confidence in solving unstructured problems
  • To support preparation for the AEA, MAT and STEP examinations
  • To provide some initial information about the problem solving involved in university admissions tests
  • 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.


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


The course is free for all Year 12 students.

Students should email [email protected] to apply for a place on the course.

Due to current circumstances relating to the pandemic it is not yet certain that the classes will be face-to-face in university venues. It is possible that classes will be online. Students on the course will be emailed the class venues (virtual or real) in good time.

Study Schedule

Sessions will be:

  • 5 Oct: Algebra 1
  • 2 Nov: Coordinate Geometry 1
  • 23 Nov: Series 1
  • 7 Dec: Calculus 1
  • 25 Jan: Algebra 2
  • 8 Feb: Coordinate Geometry 2
  • 8 Mar: Series 2
  • 22 Mar: Trigonometry

Students who attend regularly will obtain a School of Mathematics and Actuarial Science Certificate of Participation.

Students who attend regularly and submit the course assignment will obtain a School of Mathematics and Actuarial Science Certificate of Achievement.

Key Facts

Event ref:




Target year:

Year 12

Curriculum focus:

University admissions tests

Event format:

Student course

Event length:

20 hours


East Midlands


University of Leicester


Tue 5th Oct 2021

Course times:

16:30 - 18:00



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

Dennis Almeida
[email protected]

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