This task is designed to assess how well students understand addition, working methodically, and giving a proof.

A cross is given that uses two squares on each arm around a central square to give nine squares in total. The numbers from 1 to 9 must be placed in the squares so that the vertical and horizontal...

The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.

Each example is derived from a pair of perpendicular lines....

The Crumble “Getting Started” guide includes an overview of the Crumble software and a step-by-step guide to writing your first program. It also covers:

• Sparkle control
• Motor control
• Using inputs (digital and analogue)
• Using variables and maths in your programs

This activity from Cre8ate maths explores the rotational symmetry of carefully chosen crystals. Initially students work with plain and coloured nets of cubes may use trial and improvement methods to find different possible rotations of symmetry, before exploring ways to be systematic in their investigation. For...

This activity from Cre8ate maths explores Platonic solids, which are formed from regular polygons where all their faces are identical and all their vertices are identical too. Students are told that there are only five platonic solids, which they can build using triangles, squares and pentagons. Completing the...

In this activity, students synthesise prior learning about structure and bonding, and about enzymes, and apply it to a new context: X-ray crystallography. The main part of the activity involves students pitching for funding for new equipment – how will they use the...

This resource features a short task on cubic functions.

Students are given a graph of a cubic function. They then have a series of tasks to complete relating to the function. These tasks involve; substitution, interpreting the graph, explaining how the cubic only has one solution, determining the y-axis...

This interactive excel program enables students to investigate cubic functions and the relationship between the factorised form and the graph.

The first activities require the student to use the factor theorem to...

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

This interactive excel file begins with a sheet showing the dimensions of a cuboid beside an oblique drawing of the cuboid. The student needs to calculate the area of the three different faces, the total surface area and the volume of the cuboid. The dimensions can be...

This activity is from the Association of Teachers of Mathematics (ATM) publication ‘Learning and Teaching Without a...

This podcast from the Natural Environment Research Council's (NERC) Planet Earth Online collection looks at the cunning tricks the cuckoo uses to get another bird to do the parenting, why researchers are studying snow in Sweden, and discovers an improved radiocarbon dating technique.

The cuckoo is a well-...

Two worksheet based activities that can be used to identify the impacts of technology upon people to sustain their communities in the future. The first activity considers the cultural impact upon sustainability with key questions to research and the second task is an analysis activity looking at cultural, economic...

This Catalyst article looks at salt, in particular the process of extracting salt from the sea in the salt factories of Trapani in Sicily. Located on the west coast of the island, the saline (salt ponds) were probably started by the Phoenicians around 3000 years ago. The article also looks at the structure of salt...