This magic trick from the Computer Science for Fun (CS4FN) team at QMUL is based on a ‘self-working trick’. It includes a set of instructions which, so long as the commands are followed, works every time. It is, therefore, an algorithm.

The trick involves playing cards – the actual value of the cards is not...

The reduction mill reduces the thickness of a strip of steel using a series of rollers, each roller making the steel slightly thinner. The percentage reduction is constant on each pair of rollers. The mathematics used to calculate the actual reduction is similar to that used when calculating compound interest....

This is a concept development lesson on interpreting data using frequency graph and box plots.

Eight frequency graphs are presented that show scores in tests. The frequency graphs must be matched with box plots.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes...

This is a problem solving lesson where students develop their understanding of how to interpret frequency graphs that use grouped data, together with their associated box plots. Particular attention is paid to minimum and maximum values, medians and quartiles.

The lesson begins with students interpreting...

This resource features a task that involves interpreting functions that arise in practical situations.

Students are given the task of matching together worded descriptions, functions, and graphs. An example of a worded situations is a movie subscription where you get two movies free, but then you get charged...

This problem solving resource is intended to help students with recognizing and using proportional relationships, including through the use of graphs

Students are given information about a road race. They are presented with a map and information about the speeds of two runners. The race consists of four laps...

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

A repunit, which stands for repeated unit, is a number like 11, 111, or 1111 that contains only the digit 1 and extends to number bases other than base ten. This presentation challenges students to prove that any repunit...

This activity from Cre8ate maths looks at the exciting mathematics connected with the regeneration going on in our cities. The three activities are based around the construction of rigid structures and provide opportunities for practical work and mathematical problem...

This detailed exemplar explores the rocket engine performance in the BLOODHOUND SSC engineering project. It requires student knowledge of physics, chemistry and mathematics when applied in mechanical engineering.

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This task is designed to assess how well students understand:

• Symmetry
• Names of shapes
• Describing angles

A representation is shown of a Roman mosaic floor that was uncovered in Spain. The task is to describe the complete pattern as precisely as possible, so that someone...

The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

This task is designed to assess how well students understand value for money and relating this to a graph.

A graph is presented with six points. The graph plots price against weight for different bags of sugar. Students answer various questions relating the weight and price of bags. They must then determine...

This is a problem solving lesson where students develop their understanding of the following areas:

• Solve simple problems involving ratio and direct proportion.
• Choose an appropriate sampling method.
• Collect discrete data and record them using a frequency table.

A sheet...

How can STEM help us survive and thrive? From thinking about how diseases are spread or contained, to building a better skyscraper that can withstand earthquakes, this programme of activities explores both the practical and the hypothetical. Students are asked to explore the big question: Can we save the world with...