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...

This resource contains six problems which require deep understanding of the working of logarithms. Students are required to develop questions which give a specific answer. It is likely that each student will provide a different solution. This presents an opportunity for rich discussion as students question and...

RISP activity Building Log Equations requires students to form equations given a set of cards and to determine, with examples, whether the equation is always, sometimes or...

This series of activities from NASA take a mathematical approach to looking at Lunar exploration. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from age 11 to 19 years.

The problems were created to be authentic glimpses of...

This series of activities from NASA take a mathematical approach to looking at magnetism. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from age 14 to 19 years.

The problems were created to be authentic glimpses of modern...

Making sense of data: 16-19 core skills resource pack consists of five sections:

• General Introduction: an overview of the materials and their uses.

• INSET pack: introduces teachers to some of the ideas of exploratory data analysis.

• Guides to the topic resources: provides...

A Markov chain is a mathematical system that undergoes transitions from one state to another, between a finite number of states.

This resource comprises a spreadsheet which allows students to enter values into the transition matrix and the initial state matrix of 2x2 and 3x3 matrices then perform a number of...

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 resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within public health engineering to supply clean water in a rural mountain area. Here students learn about the formulae used to calculate the optimum size of pipes which will ensure good pressure of water throughout the...

Mathcentre provide these resources which cover aspects of matrices, often used in the field of engineering. They include determinants, multiplying matrices, the inverse of a matrix and Cramer’s rule, which uses determinants to solve simultaneous equations.

Comprehensive notes, with clear descriptions, for...

This resource is an interactive excel program which provides dynamic drawings and graphs related to the classic maximum volume of a box problem. There are two versions of the problem, one starting with a square base and the other with a rectangular base.

This activity is designed to enable students to gain a deeper understanding of the topic of variance and the difference between finding the population variance and the sample variance. Students might expect that the sum of the deviations would be divided by n when finding the sample variance instead of (n-1). The...

In this activity students are presented with a calculation of the standard deviation of seven athletes. Students are asked to comment upon the result. It is intended that students will spot that the standard deviation is too large given the data, but can students spot the error? This resource highlights the errors...

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:
•...

Merlin is an Excel add-in developed to enable students to draw statistical diagrams and to perform a number of statistical tests. The add-in was written to support the statistical elements of the biology advanced level curriculum but will also have applications in mathematics and other subjects where statistics are...