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