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Travelling Salesperson

The aim of a travelling salesperson problem is to visit every vertex of the network and return to the starting vertex using the route that has the minimum total weight. The problem requires students to find the best route for a courier to take to deliver parcels to a number of towns and return back to base.

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Transportation

The cost of transportation is a key factor for many industries. This activity features a classic transportation problem giving the outputs of two suppliers, the demands of two consumers and the associated transportation costs. Students are asked to find the minimum transportation cost to meet the demand. Students...

Transit Math

This series of activities from NASA take a mathematical approach to looking at transits, eclipses and occultations. 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...

Torbury Festival

Torbury Festival is a set of interactive lessons around staging of a music festival. To overcome various challenges, from floods to escaped cattle to over-excited crowds storming the stage, students must apply their mathematical knowledge to real life situations. The problems are intended to promote discussion,...

Tin Can Design

Tin cans come in a variety of shapes and sizes. In this activity students consider the net of a tin can, the formula for the total surface area and the formula for the volume of the can. The first problem requires students to express the total surface area as a function of r by eliminating h. The second problem...

Tiling Patterns

Cre8ate maths provides these activities which investigate the tessellation of regular polygons and its application in construction. Initially students identify which regular polygons tessellate, providing the opportunity to discuss the interior angles of polygons and the sum of angles at a point, before looking at...

Three of a Kind

In this Bowland assessment task, students are required to use their knowledge of geometry to describe a pattern. They are presented with a pattern consisting of three hexagons made up of triangles and have to what is the same and what is different about each shape. Students are encouraged to consider lengths,...

Three Dice

In this Nuffield probability activity students play a bingo-style game. To maximize their chances of winning, students must decide which numbers are most likely to occur when three dice are thrown and the scores are added.

The key processes developed in this activity are:

*Representing - identifying...

The Z Factor

In this Bowland assessment task, students determine how long it would take for the judges to see every act that auditioned for a talent show. Students are told the total number of acts to be seen and have to determine what other information is required to find a solution. They have to make sensible estimates where...

The Three Jugs Problem

This resource from, the Maths Careers website, asks students to solve a problem involving measures of water. The worksheet asks students to share a jug of water evenly with only two empty jars of differing sizes to use for the task.

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