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

This presentation highlights the concept of infinity and its implications, as well as introducing the mathematician Georg Cantor and the arguments relating to infinity that he came up with.

The resource is designed to...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows how regular sampling of a variety of prices is used to get a measure of inflation. There is more than one possible way to do this. A measure of inflation is used to...

The initial problem looks at an area given between two curves. The first curve is a parabola with the x and y axis intercepts given. The second curve is a stretch parallel...

This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of calculating  compound interest over different periods of time (e.g. monthly vs. weekly). The task requires...

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

This presentation begins with a reminder of some transformations of the plane before introducing the less well known transformation of Inversion. Students are able to experiment with an Autograph file to explore this concept...

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

In this presentation students explore non-periodic tiling patterns using templates of kites and darts, as well as discovering the many remarkable facts to be found in these tilings.

The resource is designed to explore...

An ‘L’ shape is shown and the task is to find the centre of mass using only a straight edge and pencil. The solution makes use of the fact that the centre of mass of two objects will lie on a...

Linear Programming involves creating a function that represents a real life problem. The aim is to optimise this function given certain constraints. Simple examples of linear programming will have few variables and constraints, however, real life situations will have many more variables and constraints that will...

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

In this presentation students are given a function and explore the mapping of natural numbers, as well as being challenged to find the inverse function. A link to the online encyclopaedia of integer sequences is provided for...

A matching is a set of edges on a bipartite graph in which no two edges share a common vertex. A bipartite graph consists of two sets of vertices X and Y. The edges only join vertices in X to vertices in Y. A matching in a bipartite graph is the pairing of some or all of the vertices in X with some or all of the...

This Core Maths task is suitable for small group work and provides a good opportunity to demonstrate and encourage mathematical modelling.  Students investigate the minimum amount of metal needed to contain a given amount of drink in a can. They are encouraged to explore ...

This series of Core Maths resources explore using linear programming to maximise profit in a number of different situations.

Maximising Profit: Linear Programming Examples
This package contains three different examples for students to explore, rocking horse manufacture, minibus travel...

In this activity, students are required to find the mean, median and mode from a data set, from a frequency table, from a grouped frequency table containing continuous data and from a grouped frequency table containing discrete data.

This resource is part of the Making Stats Vital collection from Jonny...

In this activity, students are introduced to the bee academy. A small set of data is provided and members of the bee academy explain how to find the range, the interquartile range, the mean deviation from the mean, the mean squared deviation from the mean, the sample variance and the standard deviation.

This...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that income is not equally distributed among all the inhabitants of a country. This can be shown visually using a graph and also measured. The mathematical ideas covered are:
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