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...

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...

This activity examines the use of percentages in research and the media. The examples used focus on the distinction between absolute and relative percentages and percentage changes. The need for improved education in the area of communication of risk is at the heart of...

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

There are six ways to write the total edge length, total surface area and volume of a cube, or cuboid, in order of size. This presentation challenges students to find a cube for each order. Autograph files are provided to...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore vectors, beginning with the definition of a vector followed by the algebra of vectors and the scalar product. The opening slides of the presentation explain the difference between scalar and vector...

The coordinates of the vertices of a tetrahedron is given. The challenge is to work out the volume of the tetrahedron. This involves calculating the area of the base,...

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

Wallpaper patterns all have one thing in common; they are all produced by repeating a single fundamental tile by translation, that one basic rule gives rise to a range of possible patterns, each with their distinctive...

In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.

The first step towards solving the problem...

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

This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.

This activity is designed to explore aspects of the subject which...

A function is defined so that f(xy) = f(x) + f(y) for all positive integers x and y. Students are given the value of f(10) and (40) and are challenged to determine the value of f(500).

In each student worksheet contains different values for f(10) and f(40) but for...

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...

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

The Fibonacci sequence is an example of a linear recurrence relation (LRS). A matrix is used to calculate future terms, as well as running the sequence backwards to see how many zeroes appear. Algebra is used to prove the...