These The Centre for Industry Education Collaboration (CIEC) resources look at forces in real-life contexts. Students have an opportunity to learn about the properties of air and air resistance.

The context is that of a transport company looking for ways to reduce the drag of their lorries and so improve...

This resource features a task that explores setting up and solving simultaneous equations in a practical context.

Jon is buying fencing for his yard. Prices are given for different combinations of posts and panels. Students use information in the task to set up and then solve a solve a pair of simultaneous...

This KS2 resource supports learning about how living things can be classified into groups scientifically. Activities are based around tasks carried out in the ‘real world’ by scientists working for organisations such as Fera.

Activities include:

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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...

‘Interstellar flight’ is a series of 7 problems that plan for establishing a base in another solar system. The first four problems involve getting to the base, the final three focus on what to bring and whom to take along.

The mathematics required for the first problems include use of the formulae for...

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...

A Catalyst article about what happens as plants grow. During their growth, plants remove compounds of nitrogen, phosphorus and potassium from soil which need to be replaced to maintain the soil’s fertility. For centuries farmers have used organic manures, crop rotation or ploughed in specially grown crops; today...