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          • Senior Maths Challenge questions by topic

            6 files02/06/2016

            Compilations of UKMT Senior Maths Challenge questions by topic. Answers included.

          • 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 3 - Algebra

            4 files16/06/2020

            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 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 2 - Number Theory

            6 files23/05/2020

            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 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 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 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 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 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.

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