The opposite corners of a trapezium are joined, creating four triangles within the trapezium. The areas of the triangles formed using the parallel sides as is given. The task is to calculate the...

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...

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 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 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,...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, looks at the trigonometry and scale drawing involved in the construction of water wheels.

"A water wheel is a machine for converting the energy of flowing or falling water into useful forms of...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, asks students to use Pythagoras' Theorem and geometric constructions to find the optimal place for a water well.

"In a large semi-desert area, three small villages are to share a new well....

This short activity introduces students to the ideas of the footprint and resolution of an image, asking them to choose and use appropriate methods to calculate how these quantities would change as they moved a camera to a series of vantage points above the surface of the Earth

The Nuffield Foundation provide this resource which can be used to introduce the idea of representing objects using plans and elevations. Students will have the opportunity to identify everyday objects photographed from plan and elevation views, draw 3D sketches of solids from their plan and elevation views, as...

A triangle is shown divided into two regions by a straight line, resulting in the triangle being split into a smaller triangle and a cyclic quadrilateral. A task is set to determine the ratio of an angle and an opposite side. In each of the numerical examples given the answer to 6 significant figures is 14.

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In this activity students take on the role of Earth observation scientists submitting a request for an image they would like for their research. This gives them the opportunity to consider the possibilities of pictures taken from orbit (and the limitations) and to write scientifically for a specific audience. It...

This Core Maths task explores how standardised scores can be used to make comparisons.

The materials include a list of pupils and their marks in different subjects. They also contain the mean and standard deviation scores for each subject. By standardising the scores the...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore the mathematics behind wind turbines, including fractions, ratio and solving equations.

"A wind turbine is a device that converts the wind's...

This activity, from the Institution of Engineering and Technology (IET), allows students to investigate the uses of communications technology in the modern world. There is an opportunity to audit the students’ skills such as visualisation or map-reading to form a scale...

This engineering activity, suitable for children in computing lessons, looks at the basics of flowchart construction. Simple examples, such as the decisions made by a dog chasing a stick, are used to make flowchart representation of algorithms accessible to younger children. A simple design activity requires...