The aim of a minimum spanning tree is to connect every vertex of the network using the edges having the least possible total weight. The task requires students to analyse information about a town centre and suggest which roads should be pedestrianized. [

Minimum spanning tree: presentation...

In this activity from the Nuffield Foundation, students match descriptions of a variety of real scenarios involving motion with the corresponding velocity–time and displacement–time graphs. Several issues will be discussed while completing this task and students will also have to consider how realistic or...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that derivatives can help to manage risk. The market in derivatives has grown enormously in recent years. On average, speculators break even. The mathematical ideas covered are:
•...

In this Core Maths task students construct line graphs for time series data, calculate the moving average and interpret the graph, stating conclusions.

Moving Averages: Front sheet
This teacher guidance gives an overview of the task including prior student knowledge, suggested...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this activity a set of numbers is referred to as multiple free if there is no pair of numbers in the set such that one is a multiple of the other and the challenge is to find the largest multiple free set from the first...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how money which circulates has a greater effect than could be expected. The activity starts by students predicting on what they will spend their wages when they get a...

This series of Core Maths presentations explore various network problems in a variety of contexts.

Networks: Teacher Guide
The teacher guide presentation contains four network problems with detailed solutions to the first two questions.

Networks: Problems
...

The Nuffield Foundation provides this activity where students suggest types of function to model ozone hole data, before using a graphic calculator or spreadsheet to find at least two particular models. They then consider how well their functions model the data and what they predict for the future. The slideshow...

A parabola is given with the x-coordinate of the minimum point, and two points on the parallelogram shown. The points are joined and then a parallel line is drawn that is a...

In this activity from the Nuffield Foundation, which uses a scenario of parking permits at a college to introduce the topic, students learn about collecting data by stratified sampling and designing a questionnaire. A full review of relevant statistical terms is provided, together with instructions of how to select...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation explores the effect of placing a single tile into an existing pattern which tessellates, referred to as a pearl tiling. New descriptions and notation are introduced and questions regarding regular polygons...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation the definition of a perfect number is explained and students are challenged to show that 496 is a perfect...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students demonstrates that coffee cools gradually because it is hotter than room temperature and heat is lost to the room. Mixing the coffee with milk also cools it but this effect is...

This activity helps learners become aware of the importance of maths in their vocational area and use mathematical language to describe aspects of a job role. Learners may need support to use appropriate mathematical vocabulary and may require a list or glossary of mathematical terms relevant to their vocational...

Many topological graphs have edges that cross. The aim is to re-draw the graph in such a way that none of the edges cross. The task informs students they are required to design a printed circuit board and since the wires are not insulated they must not cross.

Planarity: presentation - an...