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 activity highlights the difficulty finding quartiles for small samples sizes as there appears to be more than one method to be found dependent upon the book being used. In this activity a sample size of 11 is chosen as finding the quartiles for this sample size is straightforward. Students are told the number...

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...

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...

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...

The reduction mill reduces the thickness of a strip of steel using a series of rollers, each roller making the steel slightly thinner. The percentage reduction is constant on each pair of rollers. The mathematics used to calculate the actual reduction is similar to that used when calculating compound interest....

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

A repunit, which stands for repeated unit, is a number like 11, 111, or 1111 that contains only the digit 1 and extends to number bases other than base ten. This presentation challenges students to prove that any repunit...

This detailed exemplar explores the rocket engine performance in the BLOODHOUND SSC engineering project. It requires student knowledge of physics, chemistry and mathematics when applied in mechanical engineering.

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The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

This report, jointly published by the School Curriculum and Assessment Authority (SCAA) and Ofsted under the chairmanship of Ron Dearing, presents the findings of an investigation into whether standards in GCSE and A level examinations were maintained in the period up to 1995. The improving examination grades...

This report contains eighteen recommendations relating to the importance of the teaching of statistics in the English education system. There are four recommendations under the heading of Statistics in our national life; five recommendation under the heading of Statistics in the School Curriculum; three...

As LSIS STEM Support draws to a close, the Learning Legacy document aims to share the approaches, consider the lessons learnt and signpost resources and the ongoing support infrastructure available to improve teaching and learning across STEM in the Further Education and Skills sector. The Final Impact Review shows...

In this Core Maths activity students are invited to explore a range of casino based games to understand the probability, and likelihood of winning, when gambling.

The secret of winning: Teacher Guide
This teacher guidance introduces the reasoning behind the task, features of the...