Our Year 12 mathematicians recently delivered a series of outstanding presentations exploring the many ways mathematics shapes and influences the world around us.

As part of the project, pupils were challenged to research an advanced mathematical topic of their own choosing before presenting their findings to their peers and members of the Mathematics Department. The result was an inspiring display of intellectual curiosity, independent research and confident communication, with pupils not only presenting sophisticated ideas but also responding thoughtfully to probing questions from their audience.

We were impressed by how the way pupils connected complex concepts to the mathematics they are currently studying, demonstrating how classroom learning underpins a remarkable range of real-world applications. The breadth of topics was exceptional. Several pupils explored mathematics through an economic lens, investigating wealth inequality and the tragedy of the commons, while others examined the technology we rely on every day, including the mathematics that makes GPS navigation possible.

Pupils also highlighted the importance of mathematics in science and medicine. Presentations covered the calculations behind safe drug dosages, the mathematics of radioactive decay and the role of epidemiological modelling in understanding and predicting the spread of disease. These topics provided fascinating links to recent studies of exponentials and logarithms.

One particularly intriguing presentation introduced the class to Zipf’s Law and its appearance in language patterns, from the works of Shakespeare to a recent speech by King Charles. Another explored the beautiful relationship between mathematics and music, tracing harmony and musical scales back to the discoveries of Pythagoras and the numerical ratios that underpin musical notes.

Across every presentation, pupils demonstrated impressive depth of understanding, careful preparation and genuine enthusiasm for their subject. The quality of discussion during the question and answer sessions was especially noteworthy, reflecting the thoroughness of each pupil’s research and their ability to engage critically with complex ideas.

We are incredibly proud of all our Year 12 mathematicians for the creativity, dedication and academic ambition they brought to this project. Their presentations showcased not only their mathematical knowledge but also the confidence and curiosity that are at the heart of learning at Bromley High.

A special congratulations goes to Iris, Alisha, Imogen and Ella, whose presentations were particularly engaging and delivered with exceptional confidence and clarity. Copies of some of the presentations can be found below.

The Birthday Paradox

The Mathematics of Drug Dosage

Tragedy of the Commons

Covid Pandemic Vaccine

Zipf’s Law