This task is designed to assess how well students understand calculating the volume and surface area of a cylinder.

A drinks company is designing a can for a new drink that is to be sold in 200 ml cans. Students consider the effects of using different values for the radius of the can. They then go on to...

This Core Maths task investigates various aspects of gambling. Students investigate various aspects of gambling and helps develop a realistic...

This package of Core Maths resources ask students to produce a quote for a building a garden following a simple plan. Students are asked to use volume and area calculations, unit conversions and create precedence table and activity network.

Garden design: Overview
This teacher guide...

The Nuffield Foundation provide this activity which uses graphical methods to find a suitable model to connect two sets of data. There are a variety of ways in which the data could be used, depending on the focus required. It is possible to use a log graph to find an exponential model, which is the intended focus...

This resource requires problem solving skills to identify linear and quadratic relationships in a realistic context.

Students investigate covering square table tops with three types of tile; square tiles, half tiles, and quarter tiles. They create examples and then identify the resulting sequences.  

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This resource develops the concept of manipulation and calculation with polynomials. Particular attention is paid to switching between algebraic and visual representations of polynomial expressions.  

Students focus on sequences generated from shading in parts of ‘dot’ diagrams. As an example, (n^2...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...

This resources, from Siemens, looks at how an electric car works, the components of the system and the function of each component. Students research the charge and discharge cycles of a battery-powered device and consider the advantages and disadvantages of battery power. They look at what is meant by the capacity...

This Core Maths resource is a precursor to the linked tasks of Due dates, Baby boom and Chicken and egg, on the Normal distribution....

This activity from the Nuffield Foundation introduces the use of moving averages and weighted moving averages to smooth out seasonal fluctuations in UK house prices, enabling the yearly trend to be identified. The data provided is adapted from The Halifax House Price Index spreadsheet and although the arithmetic...

This extension activity, from the Institution of Engineering and Technology (IET), follows on from the How Much Waste?...

This activity, from the Institution of Engineering and Technology (IET), challenges students to calculate the dimensions of an underground tunnel system. Students are encouraged to move beyond an ‘out of sight, out of mind’ approach to sewage as they use and develop...

This activity focuses on the link between water usage at home and the number of people living in their household, as well as comparing the water usage within the UK to that of other countries.

Students estimate how...

This activity focuses on the link between the UK’s current water usage and the predicted increase expected in the future. Looking at a water board website, students think about how the website is set up and the formulae that are being used. They then work in groups to...