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Riemann Zeta Club - Chapter 1 - Geometry

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.

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    RZC-Chp1-Geometry-Slides.pptx

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    RZC-Factsheet-Geometry.docx

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    RZC-Geometry-Worksheet1.docx

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    RZC-Geometry-Worksheet2.docx

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    RZC-Geometry-Worksheet3.docx

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Riemann Zeta Club - Chapter 9 - Pigeonhole Principle

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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    RZC-Chp9-PigeonholePrinciple-Slides.pptx

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    RZC-PigeonholePrinciple-Worksheet.docx

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Riemann Zeta Club - Chapter 4 - Combinatorics

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.

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    RZC-Chp4-Combinatorics-Slides.pptx

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    RZC-Combinatorics-Worksheet1.docx

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    RZC-Combinatorics-Worksheet2.docx

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    RZC-Combinatorics-Worksheet3.docx

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    RZC-Combinatorics-Worksheet4.docx

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    RZC-BMOCombinatoricsProblemCompilation.docx

    Exam Compilation

Riemann Zeta Club - Chapter 3 - Algebra

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.

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    RZC-Algebra-Worksheet1.docx

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    RZC-Algebra-Worksheet2.docx

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    RZC-Algebra-Worksheet3.docx

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    RZC-Chp3-Algebra-Slides.pptx

    Slides

Riemann Zeta Club - Chapter 2 - Number Theory

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.

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    RZC-Chp2-NumberTheory-Slides.pptx

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    RZC-NumberTheory-Worksheet1.docx

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    RZC-NumberTheory-Worksheet2.docx

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    RZC-NumberTheory-Worksheet3.docx

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    RZC-NumberTheory-Worksheet4.docx

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    CoprimeDemo.xlsx

    Spreadsheet

Mr Bowler's Problem Solving Booklet for University Preparation

This resource is kindly provided by Mr Bowler at Maynard School, containing 151 questions to help prepare students for undergraduate admissions interviews in mathematics.

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    TBO Problem Solving Booklet Solutions.pdf

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    TBO Problem Solving Booklet.pdf

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Riemann Zeta Club - Chapter 7 - Functional Equations

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.

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    RZC-Chp7-FunctionalEquations.pptx

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    RZC-Chp7-FunctionalEquationsWorksheet.docx

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Senior Maths Challenge questions by topic

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

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    RZC-SMC-Algebra.docx

    Exam Compilation

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    RZC-SMC-Geometry.docx

    Exam Compilation

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    RZC-SMC-NumberTheory.docx

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    RZC-SMC-SpatialReasoningCombinatorics.docx

    Exam Compilation

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    RZC-SMC-Probability.docx

    Exam Compilation

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    RZC-SMC-Answers.docx

    Exam Compilation

Riemann Zeta Club - Chapter 10 - Topics in Computer Science

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.

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    RZC-Chp10-ComputerScience.pptx

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Riemann Zeta Club - Chapter 8 - Logic

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.

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    RZC-Chp8-Logic-Slides.pptx

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    RZC-Logic-Worksheet.docx

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Riemann Zeta Club - Chapter 6 - Probability & Statistics

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).

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    RZC-Chp6-Probability.pptx

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    RZC-Chp6-ProbabilityStats-Worksheet1.docx

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    RZC-Chp6-ProbabilityStats-Worksheet2.docx

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Riemann Zeta Club - Chapter 5 - Graph Sketching, Reasoning & Limits

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.

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    RZC-Chp5-GraphSketchingReasoningLimits.pptx

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    RZC-GraphSketching.docx

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Riemann Zeta Club - Chapter 0 - Introduction

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.

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    RZC-Chp0-Introduction-Slides.pptx

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    RZC-Introduction-Worksheet.docx

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