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....

This resource, from the Maths Careers website, contains a quiz in which teams have to solve a different type of code of cypher in each round.

The topics covered include mobile texting, transposition of messages, pencil code, binary and frequency analysis.

The activity was written in conjunction with...

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...

This resource, from the Maths Careers website, contains data collected from 100 groups competing in a cube puzzle.

The information was collected as part of the Big Bang London Science Fair and includes a range of investigations to help explore the data. Areas covered include scatter diagrams, correlation,...

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...

The first two sheets of this excel file shows sets of data about the weight of cows in two herds. The cumulative frequencies can be revealed and the quartiles and median are shown derived from the cumulative frequency graph. The next sheet shows the comparison of the two herds as shown by the box and whisker...

This MEP resource from CIMT is taken from text book 9B which covers the mathematics scheme of work for the second half of year 9.

Cumulative frequency covers: a recap of the three types of average, a recap of range, how to graph grouped data, how to find the average of grouped data, culmulative frequency,...

This resource is part of a collection of Nuffield Maths resources exploring Algebra. The demand is roughly equivalent to that in GCE A level.

In this resource students model data measuring how long caffeine from tea, coffee or cola stays in the human body’s bloodstream. This involves drawing graphs, then...

This resource is an introduction to conversion graphs and direct proportionality in the context of currency conversion, reading and plotting graphs and calculating gradients, including using a spreadsheet.

The resource is part of the Nuffield Maths Level 1 Foundation resource collection.