The software will present the pupil with a binary number which must be identified. The range of numbers presented can be constrained to: a single bit, and octal number (exactly 3 bits), a decimal number (less than 10), or a hexadecimal number (exactly 4 bits). The number of correct answers is recorded.

This single sheet shows how the area of a figure (bounded by straight lines) can be derived, using the process shown on the sheet.

The Software will produce graph paper on A4 paper, having the option of Linear, Square, Square Root, Log, and Antilog. The download contains a software setup to install the software on your computer. The software was created on a Dell PC using Macafee antivirus software. Not withstanding that, you will probably get multiple warnings about installing it. It’s my honest belief that the software is virus-free, and I have installed it onto another of my PCs without and problems.

This article provides a fully worked example of a linear optimisation. Every detail of the working is explained so that students can us the techniques in further work.

The software simulates the generation and display of the results of sampling. The user can order up to 5 colours, and each colour can present a sampling pool of from 1 to 30 items. Sampling then takes place from the above pool of items. The user can define the number of samples up to 200, and each sample can specified to have from 1 to 7 items. The simulation is a useful demonstration of the variability of samples from a specific pool.

This small simple resource shows two methods of squaring 2-digit numbers in the head

The resource is in two parts. Firstly, a software application which generates trinomials, and their solutions. Secondly a detailed step-by-step method of solution. Applicable from GCSE to A Level and beyond.

The work sheet guides participants to investigate the numbers involved in the SUM of CUBES. While the material could be a useful introduction to the sum of cubes at 6th form level, it is also accessible to pupils in the lower school, and class 6 in primary schools. In the sixth form it could be an introduction to the sum of cubes, which can be followed up with rigorous proof. The intention for pupils below the age of 16 would be to introduce the wonder and excitement in some of the relationships found in mathematics.

The program will draw from 1 to 10 cubes, with variable line-thickness, variable numbers of internal cubes, and variable perspective views. The cubes can then be used in an almost endless number of mathematical applications. It isn’t an application for pupils, it’s an application which can help to produce material for pupils.

The resource gives an investigation of numbers involved in the 12 days of Christmas. A formula is developed for variations where any other number is used.

The software enables users to explore the Simplex Algorithm for small problems. Linear Programming problems can be entered, edited, saved, and loaded. The solution can be followed stage by stage, allowing users to specify pivot points, or providing the pivot points automatically. If required, the whole Simplex solution can be performed automatically. An installation for the software can be downloaded from the link below. https://share.ue.internxt.com/d/sh/file/8fa2b330-6e61-47cf-aa5b-4a245124ad39/ee2a701db0334350e5aff1e233d61037b1d83ea6ba98492ec588f4d40320ec90 The installation program is inside the downloaded zip file.

Factorise is a 64-bit program for Windows which will factorise three types of expression: A number, A quadratic trinomial, or A cubic polynomial (which has factors). Recently enhanced, download link: https://drive.google.com/file/d/1Ef7THvPuEYfjY3iXmn5WuNI1Eb0DzuEB/view?usp=drive_link If you have any comments to make about this item, I would be pleased to receive them at n3.14158r@yahoo.com

The short article shows two methods of discovering the formula for calculating Triangular Pyramid Numbers.

The resource shows a simple Linear Optimisation problem together with its solution, obtained by software. The software is available to download. The software provides the facility to enter an LP problem, and then to solve it. The limits of the software are way above any size of problem likely to be encountered in the educational environment. The software can be downloaded directly from this entry. It is provided zipped, and must be unzipped before installation. The installer will install the software and several simple examples in c:\Optimisation\LPSolver_3. You may get a number of warnings about installing the software. I can confirm that the software and installation set were prepared on a PC with full virus protection, It is highly unlikely that you would suffer any negative effects from the installation. If you have any comments to give me about this resource, I shall be very pleased to receive them. An email address is displayed at the top of the software.

This short note explains how distance under constant acceleration can be calculated without recourse to calculus.

The resource shows a method of deriving the sum of squares of integers which can be easily understood by secondary pupils (up to year 11).

The resource shows how the formula for the sum of cubes can be teased out using quite simple pattern recognition.

The work involved in evaluating polynomials can be considerably reduced by using the principle of nesting.

The PDP8 was the world’s first widely available computer. It has a very small instruction set and had a maximum of 32768 words of 12-bit memory. Instructions (in binary) can be entered via the 12 switches on the front panel, and programs can be run at full speed, or in single-step mode. During program execution, the accumulator is displayed on the panel. It can load programs off images of paper tape. A copy of the installation can be obtained by emailing pdp@meltonisl.com

A level students will encounter the expressions for the sums of powers of integers, often using mathematical induction to prove their validity, but I don’t remember students ever being asked to investigate and derive those expressions. This note shows how the sum of fourth powers of integers can be derived and understood by A-level, or younger students. It must be understood that this method does not prove the validity of the expression obtained, but it will allow readers to understand how the expression can be derived.

This article describes how to obtain the formula for a hexagon made up of circles.