MathsConf27-Inspired Tasks and Puzzles

These are some tasks and puzzles inspired by Rob Eastaway and Pete Mattock’s talks at MathsConf27.

Original tweets:

https://twitter.com/nathanday314/status/1449847141103546378

Inspired by @robeastaway's #Mathsconf27 talk about puzzles, and a drive with @mrshawthorne7 and @MrMattock that included three Dartford crossings… pic.twitter.com/kupKqXuZfN
— Nathan Day (@nathanday314) October 17, 2021

https://twitter.com/nathanday314/status/1449860706455724032

.@MrMattock's #mathsconf27 talk got me thinking about exploring more deeply the fractional/proportional relationships underlying bar models. pic.twitter.com/pPXoV7oWvi
— Nathan Day (@nathanday314) October 17, 2021