In this resource students are asked to find the value of several calculations that involve addition, subtraction and the squaring of fractions. Students are asked to spot patterns and similarities within the questions in order to generalise. The investigation concludes bu using algebra to prove their conjectures....

This More Maths Grads resource, from the Maths Careers website, investigates the maths used in transport and is based on the travelling salesman problem.

Students are given a table containing information on the cost of air travel between nine different cities and asked to plan a route that visits each...

This activity, from the Institution of Engineering and Technology (IET), introduces students to the differences between analogue and digital communication. An analogue signal can be rendered useless by small amounts of interference, whereas a digital signal remains...

This resource uses the context of the INEOS TEAM UK America's cup base in Portsmouth for students to explore the factors surrounding, using and installing solar panels on the roof of the building.  It includes the modeling required to maximise the roof area that can be used for solar panels and the data anlysis...

The purpose of bin packing is to pack a collection of objects into containers called bins. The bins are all the same size and the objects to be packed are different sizes. The aim is to pack the objects into the bins using the fewest possible bins. In this example students are asked to save computer files onto a CD...

This resource requires students to be able to use a calculator efficiently and accurately and to be able to round their answer to two decimal places or to know how to set up their calculator to give answers to two decimal places. The cards file contains nine pages of bingo answer cards with four cards on each page...

In this activity, students create colour images from satellite data. This allows them to study how different surfaces reflect different wavelengths of light, how coloured images are created using an RGB model, and how band combinations can be chosen to examine a particular landscape effectively.

In this resource students are given four coordinate points and asked to find the equation of the lines that connect them. The four lines intersect to form a rectangle- can students find the area of the rectangle?

Each student worksheet contains different coordinate points, but the solutions all have...

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...

In this resource students are given a quadrilateral with one angle of 60 degrees and varying side lengths- with two of the sides of equal length. The challenge is to calculate the lengths of the diagonals.

Each student worksheet contains a different quadrilateral, but the solutions all have something in...

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...

The Nuffield Foundation provides this activity which uses examples in the context of shape and space to help students understand how big errors may be, and how errors accumulate when measurements are used in calculations. This is particularly important in scientific contexts. Students are required to find the upper...

The Nuffield Foundation provide this resource for students to collect data and then use statistical methods to analyse the results. The activities require that students investigate the extent to which people follow the advice from the Department of Health, which recommends that everyone eats at least five portions...

Students work in teams to design and make a prototype device that can design and make a prototype of a simple device (to be sold in stores like B&Q) that will allow homeowners to remove water from their house during periods of flooding.

In this challenge the device will have to move 100ml of water from...