The resource shows a simple Linear Optimisation problem together with its solution, obtained by software. The software is available to download.

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

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.

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).

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.

What is described here is a method of finding expressions for several sums of squares at once. The number can be determined by the user. The only drawback with this method is that it gives the expressions in polynomial form, rather than in factor form.