Carom Maths provides this resource for teachers and students of A Level mathematics.

A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed...

A triangle is split into two parts by drawing a line from one side to the base of the triangle. The ratio in which the sides are split is shown for each of the sides connected by the line. The task is to find what multiple of the smaller triangle is the larger triangle.

The ‘something in common’ between each...

In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.

Each student worksheet contains a different triangle, but the answers all have something in common.

The solution involves...

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This short task contains two questions on applying trigonometry.

The topics covered are:

• Linking sine, cosine and tangent
• Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
• Using the Pythagorean identity sin2(x) + cos2(x) = 1...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...

In this primary resource, children work scientifically to investigate the effects of various conditions on plant growth. The activities are set in a real-life context, that of a sports company who wish to provide a turf surface suitable for a range of activities. Information is required on suitable grass types and...

This resource produced by ARKive supports the teaching of life-cycles at key stage two. It looks at mammals, amphibians, reptiles and plants and finds similarities between the life cycles of animals and plants within each group, as well as some of the similarities and differences between these groups. There is a...

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in...

This activity, from the Institution of Engineering and Technology (IET), allows students to investigate environmental issues in the context of the design and operation of a new school. Students are required to apply their mathematical understanding of formulae and...

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...

Inspired by the Born to Engineer video from Kim Cave-Ayland, an engineer whose work is helping to create a safe, low polluting power source that could change our energy future, this resource supports students to work with data on UK energy consumption, exploring how energy generation is managed and what type of...

This resource looks at the key features, advantages and disadvantages of tidal power as an energy source. Students identify the features of a landscape which will maximise the effectiveness of tidal power, considering the ideal shape of the location, whether the machinery will interfere with other activities,...

In this activity, students use the speed, distance, time equation to calculate how long it takes to travel to destinations around the globe from the UK via today's global transport options. They are then introduced to a new concept to global travel: the vacuum tube...