In this Core Maths activity students are asked to play a ‘ladder game’ in order to improve decision making and explore probability theory.

Fitting Numbers: Overview
This teacher guidance contains a range of information including prior student knowledge, suggested approaches and possible...

The network flow problem involves finding the optimum route through a flow network; a directed graph where each arc has a capacity and each arc receives a flow. Typical examples include: evacuation plans and delivery services. The problem involves students analysing the plan of a school canteen and deciding whether...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the mechanical and electrical engineering power industry. Here students learn how statistical models are used to set alarms which detect changes in vibration above normal values. The alarms highlight that...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within Formula One racing. Here students learn about the models which are used to develop race strategy, since every F1 team must decide how much fuel their cars will start each race with, and the laps on which they will...

This excel file contains a series of sheets which give practice in rearranging formulae and substituting values. Clicking on the subject of the formula reveals the rearranged form. The answers to the calculations are also available.

Composite Functions
The first five sheets all have a similar format. A number is operated on by...

The first of two RISP activities, Periodic Functions, asks students to write down as many periodic functions as they can. The activity progresses to look at what happens...

Mathcentre provide these resources which cover aspects of functions and graphs. They include explanations of linear functions, the exponential constant, the graph of a function and linear relationships.

Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant...

Mathcentre provide these resources which cover aspects of functions and graphs and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to functions, the hyperbolic,...

Mathcentre provide these resources which cover aspects of functions and graphs often used in the field of engineering. They include descriptions of the hyperbolic function and identities, the logarithm function and its graph as well as the graphs of the trigonometric functions.

Comprehensive notes, with...

Following on from the resource ‘Indices’, this resource from Susan Wall contains four activities designed to explore the rules of indices as well as differentiating and integrating functions containing indices. 

The rules of indices with...

This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you calculate the energy used, or made available, when the volume of a gas is changed? A bicycle pump, a refrigerator and the internal combustion engine change the...

The Nuffield Foundation provide this activity which uses graphical methods to find a suitable model to connect two sets of data. There are a variety of ways in which the data could be used, depending on the focus required. It is possible to use a log graph to find an exponential model, which is the intended focus...

The first of two RISP activities, Venn Diagrams explores lines in co-odinate geometry and quadratic functions...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...