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

This presentation explores the Mandelbrot Set, a topic from Chaos Theory, which involves complex numbers and the Argand diagram. Following a set of rules, students use a spreadsheet to establish if complex numbers, on the...

In this activity, students are posed the problem of how a coffee machine should be adjusted to meet certain criteria by either adjusting the mean value of the coffee produced or adjusting the standard deviation. The presentation ends showing the solution to the problem.

This resource is part of the Making...

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

In this activity the equations of the lines, which are formed at the points of intersection of three circles, are explored and an Autograph file is used to show what happens when the equations of the circles are added...

In this resource, students consider whether two Poisson distributions can be added together to form a third Poisson distribution. The initial, discussion generating proposition is backed up by a proof. The resource also contains an accompanying spreadsheet on which students can run simulations to test the result....

In this resource, students are asked to consider data set in which the value of the mean is very close to the value of the variance. The aim of the resource is for students to understand that whilst mean being equal to variance indicates that the distribution may be a Poisson distribution that this not true in all...

In this activity, students are presented with a case in which the calculate probability is calculated using the Binomial and then the Poisson distribution. Each method produces results close to each other. Students are set the task of finding the value for n used. Subsequent slides reveal the solution.

This...

In this resource students deal with an optimisation problem involving perimeter and area based on a Greek mythological story about a princess. She wants to maximise the area contained in a given perimeter and decides on a circle. The concept of the Isoperimetric...

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

This presentation challenges students to use the rules they have been given to develop a logical system and deduce theorems which prove that the system is complete and consistent and introduces the idea of truth tables to...

The introduction to this problem involves modelling a race from one tree to another, and the requirement to touch a fence on the way. The challenge is to determine the...

This task is designed to assess how well students understand various aspects of the number system.

There are a series of short tasks on using a calculator, working with fractions, directed numbers, and extending a multiplication fact.

As an example:

12345679 x 27 = 333 333 333

and...

In this Core Maths activity students are invited to explore a range of casino based games to understand the probability, and likelihood of winning, when gambling.

The secret of winning: Teacher Guide
This teacher guidance introduces the reasoning behind the task, features of the...

Three circles are shown touching and sharing a common tangent. The radii of the two larger circles are given. The challenge is to calculate the value of the radius of the smallest circle....

In this presentation and collection of student worksheets a diagram shows a square and three right angled triangles, with each shape sharing a common side. Some of the lengths are given in surd form, from which students have to find the area of the square.

The solution involves the use of Pythagoras’ theorem...

In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

Act 1

A photograph is shown of an individual ticket, placed...