- View more resources from this publisherCarom Maths

Carom is an extra-curricular maths club which operates at Paston College in Norfolk. Jonny Griffiths has developed these materials to provide the opportunity for students to explore different aspects of mathematics which will also broaden their skills and encourage them to find new ways to approach a problem mathematically.

These resources are drawn from the field of pure mathematics and are designed for students, in the first year of the A Level course, as bridging activities between A Level and university. Each presentation includes tasks for students to investigate, enabling them to engage with the material and to play with the mathematics.

**Geometry** - Geodesics, Kites and Darts, The Overlapping Circles, Siders, Curves of Constant Width, Wallpaper Patterns, Hyperbolic Geometry

**Algebra** - Inequalities

**Probability** - Coincidences

**Optimisation** - The Least Road Problem

**Number Theory** - Perfect and Mersenne Numbers, Repunits, Multiple-free Sets, Descent, The Distribution of Prime Numbers

**Probability **- Buffon's Needle

**Ergodic Maths** - Adding again and again...

**Set Theory and logic** - Infinity

**Logic** - The Propositional Calculus

**Complex Numbers** - The Mandelbrot Set

## Resources

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### Geodesics

Carom Maths provides this resource for teachers and students of A Level mathematics.

A geodesic is the shortest distance between two points and here two problems involving cuboids and cylinders are investigated.

The resource is designed to explore aspects of the subject which may not normally be...

### Inequalities

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation starts with the inequalities associated with triangles and challenges students to develop proofs of the inequalities found in other situations, using the arithmetic, geometric and harmonic means.

The...

### Coincidences

Carom Maths provides this resource for teachers and students of A Level mathematics.

This thought provoking presentation introduces the mathematics of coincidences, challenges students to produce a spreadsheet which shows the probabilities of sharing a birthday, as well as highlighting the coincidence of...

### The Least Road Problem

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students have to find the least amount of road needed to enable each town to be linked to others in a variety of scenarios. There is an explanation of the common theme to be found in the examples and the...