This resource provides examples of solving problems using Fermi Estimates. These examples are similar to the ones covered in the resource "Estimates From Limited Data". The tasks may be suitable for group and internet access may be beneficial.

This resource contains a short presentation which introduces three problems where approximate solutions can be calculated.

The first activity asks students to use Fermi estimation to calculate the quantity of tea used in China in a three month period. Students are also invited to calculate an estimate of the...

A Fermi problem involves making estimates and using mathematics to answer a question, in more colloquial language they might be termed ‘back of envelope’ calculations.

Many of the questions don’t have clear cut answers, and sometimes alternative paths to solutions are possible.

The level of...

‘A secret of bees’ is a series of 7 problems that looks at an interesting feature of the family tree for bees. The series shows how to take a complicated problem and break it down into manageable parts. It is recommended that the sheets are given to students one at a time.

Initially a family tree for bees is...

‘Ball bouncing’ is a series of 7 problems that looks at what happens if you put a tennis ball on top of a basketball and then drop them both. This is done through mathematical modelling. The series shows how to take a complicated problem and break it down into manageable parts. It is recommended that the sheets are...

This problem serves as an introduction to the ideas of Fermi problems. The question posed is ‘how many dump trucks would you need to move Mount Fuji, a major mountain in Japan?’
The topics required to complete this problem are calculating the volume of a pyramid, working out mass from density and volume, and...

This question asks us to consider a person opening a burger bar, doing all of the cooking themselves, and then estimate how much space should they rent?

The main topics required are rates (number of burgers per hour that one person could cook, number of customers per hour), and areas. 

This Cre8ate maths activity allows the opportunity to discuss the modelling function of mathematics. The tasks allow students to develop their own strategies and to consider the idea of an ‘efficient’ algorithm. In addition, 'First fit and full bins' activity involves work on ratio and pie charts.

Act 1

A simulation is shown of a Ferris-wheel, where one of...

This Christmas themed game suitable for early years encourages basic counting skills in an engaging way. Players race to the presents along an icy path, following instructions as they land on various squares. This resource has been provided by Early Learning HQ.

This Mathematics Matters case study looks at how mathematicians are aiding the fight against viruses. Many viruses have a symmetrical structure made from basic building blocks, and biologists have struggled to explain some of the more detailed shapes. Now mathematicians are using complex theories of symmetry to...

In this resource from CensusAtSchool, students are asked to apply their knowledge of the Poisson distribution to real life data in the context of a school problem. This resource is good at contextualising and reinforcing understanding of the Poisson distribution, it requires students to consider developing a...

Act 1

A five-way split video is shown of a student drinking...