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Flight Charges

Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an...

F=ma in a Lift

This activity is produced by the Maths Magic project. F=ma in a Lift provides examples and ideas for A-level mathematics and physics students investigating what happens when they are being weighed in a lift and to have a discussion about mass and weight and the difference between the two quantities. Ideally...

F=ma in a Helicopter

This activity is produced by the Maths Magic project. F=ma in a Helicopter provides examples and ideas for A-level mathematics and physics students investigating what happens to packages hanging below a helicopter. The lesson plan describes an active lesson designed to promote discussion about what happens when the...

Electromagnetic Math

This series of activities from NASA take a mathematical approach to looking at electromagnetic radiation. 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...

Earth Math

This series of activities from NASA take a mathematical approach to looking at the Earth and its atmosphere. 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...

Drinks Cans

Drinks cans are made by stamping out circular discs from a sheet of tin. Given the dimensions of the sheet of tin and the diameter of the circle stamped out, students are required to calculate the wastage and to investigate whether there is a more efficient method. The problem requires students to be able to...

Dijkstra's Algorithm

Dijkstra's algorithm finds the shortest path for a given problem. Dijkstra's algorithm can be used to find the shortest route between two cities. This algorithm is so powerful that it not only finds the shortest path from a chosen source to a given destination, it also finds all of the shortest paths from the...

Curved Fold

This resource, from the Royal Institution, provides students with the opportunity to explore the formation of a parabola through a paper folding activity. Students follow a set of simple instructions which describe how to fold a piece of A4 paper and are asked to describe what shape is produced. The activity is...

Coil Feed Line

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...

Circles with Whole Number Points

Produced by the Maths Magic project, Circles with Whole Number Points provides teacher inspiration for investigating equations of a circle and Pythagoras’ theorem. The student task sheet refers to the use of Geogebra. The task consists of drawing circle, centre (0,0), radius 5 and finding all the points with...

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