An equilateral triangle is shown that has been made using three toothpicks. Three further toothpicks are given and the challenge is to find a way of using them to create a total of four equilateral triangles the same size as the first one. This challenge is suitable for Key Stage 3 and ideal to use when teaching...

The video shows a deck of cards being dealt between four people. The cards are handed out at a constant rate. The challenge is to graph the number of cards per person (‘size of hand’) against time.

Size of hand video

The resources in this Institution of Engineering and Technology (IET) collection look at the aerodynamic characteristics of objects. Students explore the requirements of aerodynamic design through testing simple shapes in a wind tunnel. The activities focus on students acquiring an understanding of aerodynamics...

This report, published by the Association of the British Pharmaceutical Industry (ABPI) in 2008, is based on a survey of ABPI and UK BioIndustry Association (BIA) member companies to review the position three years on from a previous report called Sustaining the Skills Pipeline in the Pharmaceutical and...

In this resource scalene triangles are drawn on a square grid. The challenge is to find the area of the triangle.

On each student worksheet there is a different triangle, but the solutions all have something in common.

One way to find the area is to enclose the triangle in a right-angled triangle, and...

This rich data set includes several species of slugs, and can be used to investigate their distribution across the UK. The data has been collected over a period of several years, and includes the maturity of each slug and its location.

The data is biased in terms of the date and locations for sampling – a...

The role of smart sensors in our everyday lives is becoming increasingly fundamental. The Smart Sensors topic focuses on what smart sensors are, how they are being used today and how they can be innovative in the future. We are surrounded by systems that convey information but there are questions about whether...

This is one of a series of resources to support the use of the BBC micro:bit.

In this activity pupils will make use of the BBC micro:bit to design and create a programmable system that can control the temperature and soil moisture levels in a ‘smart’ greenhouse. They will analyse a design brief and design...

This Mathematics Matters case study, produced by the Institute of Mathematics and its Applications, looks at how industry relies on cutting-edge mathematics to develop better quality communications. The amount of information we can transmit though the air is limited by the laws of physics, but the mathematics of...

In this Bowland assessment task, students are presented with an accurate drawing of a smoothie bottle. The task is to design a box that will hold twelve bottles. Students are required to measure significant parts of the bottle and use the results to help design the box, draw the net of the box, label the dimensions...

This task is designed to assess how well students understand using a description to draw the net of a shape.

Top and side views are shown of a smoothie bottle. The task is to design a package that will hold twelve of the bottles. The bottles must be held so that they do not rattle about. All of the...

Snappers, part of the T5 (Targeting Level 5) materials from the National Strategies, are short, whole-class interactive activities based around key areas of mathematics pitched at levels four and five.

Snappers provide starter activities for lessons. The worksheets could be displayed on a computer or the...

The Department of Education resource Social and Emotional Aspects of Learning Secondary SEAL – A Quick Guide looks to define SEAL and its key elements, and well as offering a six-step approach on how to get started with SEAL.