The *Riemann Zeta Club* is a lunchtime Maths enrichment club, run at Tiffin School, for Lower Sixth Form students (and Year 11 students). The sessions are intended for able mathematicians, and the content is aimed to provide sufficient grounding to effectively tackle Senior Maths Challenge, British Maths Olympiad, Maths Aptitude Test and STEP problems.

# Riemann Zeta Club - Chapter 0 - Introduction

## 2 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers set theory and aspects of proof.# Riemann Zeta Club - Chapter 1 - Geometry

## 5 files31/01/2017

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers angles, lengths, areas and geometric proofs.# Riemann Zeta Club - Chapter 2 - Number Theory

## 6 files31/01/2017

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers divisibility, modular arithmetic, digit problems, Diophantine Equations and general theory concerning the integers.# Riemann Zeta Club - Chapter 3 - Algebra

## 4 files31/01/2017

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers factorisation and use of algebraic manipulation/identities, simultaneous equations, and inequalities.# Riemann Zeta Club - Chapter 4 - Combinatorics

## 6 files31/01/2017

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers combinatoric problems (i.e. 'counting'), including combinations and permutations, and forming and solving recurrence relations.# Riemann Zeta Club - Chapter 5 - Graph Sketching, Reasoning & Limits

## 2 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers graph sketching, reasoning about solutions (using a graph), and evaluating limits, including dealing with indeterminate forms.# Riemann Zeta Club - Chapter 6 - Probability & Statistics

## 3 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers basics of probability (including Bayes' Rule), random variables and common distributions (Binomial, Poisson, Geometric).# Riemann Zeta Club - Chapter 7 - Functional Equations

## 2 files31/01/2017

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers solving functional equations, including well-known cases such as Cauchy's functional equation.# Riemann Zeta Club - Chapter 8 - Logic

## 2 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers solving logic problems by case analysis, and boolean algebra.# Riemann Zeta Club - Chapter 9 - Pigeonhole Principle

## 2 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers the Pigeonhole Principle, a concept which is intuitively obvious, but can be used to solve incredibly complex problems.# Riemann Zeta Club - Chapter 10 - Topics in Computer Science

## 1 files13/05/2016

The Riemann Zeta Club is an enrichment maths club for Lower Sixth Formers, aimed as preparation for the Maths Challenge, Maths Olympiad and Oxbridge entry.

This chapter covers basic topics in Computer Science, such as common sorting algorithms, time and space complexity of algorithms, common data structures, and recursive algorithms.

These are the last 10 questions of all Senior Maths Challenge papers from 2004-2012. Note that the answers don't have explanation. If you're really stuck, you could always find the full solution at www.ukmt-resources.org.uk. Note that precisely 50% of the questions were on Geometry alone. Thus the key to SMC high scores: master the Geometry questions!

Tiffin students: Use our UKMT database instead (please ask for login details if you have not already been provided with these).