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The initial task involves using factors of 12 and -12 to set up two points. Compasses are used to draw a circle that has the two points as its diameter. An interesting feature of the resulting...

The initial investigation uses an inductive formula and two initial values to derive a sequence that results in a series of fractions before returning to the initial two values of the sequence. A spreadsheet is provided that performs the calculations given in the inductive formula. This is helpful for both checking...

There is an initial investigation of geometric progressions where the interval between the first and second, and the third and fourth terms are given, with the challenge of discovering two possible values for the first term and associated common ratio. There are ten examples to work on to enable collaboration...

This More Maths Grads resource, from the Maths Careers website, investigates the maths used in transport and is based on the travelling salesman problem.

Students are given a table containing information on the cost of air travel between nine different cities and asked to plan a route that visits each...

In this teacher presentation and collection of student worksheets a pair of simultaneous equations is given, one of which is non-linear. A second pair of similar simultaneous equations is given; that has the same solutions. Students are challenged to explain why.

Each student worksheet contains different...

A segment of a circle is created using a chord parallel to the x-axis. The resulting segment of the circle is then revolved 360° about the x-axis. The problem is to calculate the volume of the resulting annulus.

To find a general solution to the problem involves using an elemental disc ring and integrating...

Two parabolas are shown, one with a positive quadratic coefficient, the other with a negative quadratic coefficient. Each has the same linear coefficient and between the...

These activities have been developed for the National HE STEM Programme to be used in conjunction with the video resources found in this collection.

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In this activity students calculate Spearman's Rank Correlation Coefficient. The activity consists of students listening to the first few seconds of ten famous songs, ranking them and then comparing their ranking with an official ranking.

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The purpose of bin packing is to pack a collection of objects into containers called bins. The bins are all the same size and the objects to be packed are different sizes. The aim is to pack the objects into the bins using the fewest possible bins. In this example students are asked to save computer files onto a CD...

This package of Core Maths resources explore how to solve bin packing problems using the first fit decreasing algorithm.

Bin Packing: Teacher guide
The teacher guide presentation contains an introduction to the topic through the plumber’s dilemma before working through the best possible...

Most binomial questions define the binomial distribution and ask students to calculate the most likely value for x. In this activity, students are asked to explore whether the value for p can be found given the value for n and the most likely value for x. Subsequent pages of the presentation provide the solution to...

In this activity, students apply their knowledge of the binomial distribution to establish whether each of three rules, regarding the most likely outcome and the expected value, are true. The presentation contains a link to an applet which allows experimentation, and shows the binomial probabilities for various n...

This activity begins with the definition of the mean and the variance of a binomial distribution. Students are then challenged to take each definition and prove that they work for the binomial distribution B(3,p). The first task is for students to construct the probability distribution then calculate the mean and...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that if a link is suspected between a risk factor and an illness, statistical methods can be used to test whether such a link exists. Topic areas covered are:...

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