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Resources tagged with Maths Supporting SET similar to How Many Geometries Are There?:

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Broad Topics > Applications > Maths Supporting SET

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Flight Path

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

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Perspective Drawing

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the properties of perspective drawing.

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Spherical Triangles on Very Big Spheres

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

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Cross with the Scalar Product

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the meaning of the scalar and vector cross products and see how the two are related.

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Air Routes

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.

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Production Equation

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

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Track Design

Stage: 4 Challenge Level: Challenge Level:1

Where should runners start the 200m race so that they have all run the same distance by the finish?

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Brimful 2

Stage: 5 Challenge Level: Challenge Level:1

Which of these infinitely deep vessels will eventually full up?

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Fix Me or Crush Me

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make matrices which will fix one lucky vector and crush another to zero?

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Vector Walk

Stage: 4 and 5 Challenge Level: Challenge Level:1

Starting with two basic vector steps, which destinations can you reach on a vector walk?

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Stirling Work

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

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Scientific Curves

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you sketch these difficult curves, which have uses in mathematical modelling?

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Transformations for 10

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the properties of matrix transformations with these 10 stimulating questions.

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Perfect Eclipse

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use trigonometry to determine whether solar eclipses on earth can be perfect.

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Polygon Walk

Stage: 5 Challenge Level: Challenge Level:1

Go on a vector walk and determine which points on the walk are closest to the origin.

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Constantly Changing

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

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Carbon Footprints

Stage: 4 Challenge Level: Challenge Level:1

Is it really greener to go on the bus, or to buy local?

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Pdf Matcher

Stage: 5 Challenge Level: Challenge Level:1

Which pdfs match the curves?

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Operating Machines

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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The Wrong Stats

Stage: 5 Challenge Level: Challenge Level:1

Why MUST these statistical statements probably be at least a little bit wrong?

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Big and Small Numbers in Physics

Stage: 4 Challenge Level: Challenge Level:1

Work out the numerical values for these physical quantities.

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Square Pair

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the shape of a square after it is transformed by the action of a matrix.

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Crystal Symmetry

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Use vectors and matrices to explore the symmetries of crystals.

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Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

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Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level: Challenge Level:1

Which line graph, equations and physical processes go together?

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Pdf Stories

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Invent scenarios which would give rise to these probability density functions.

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Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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Designing Table Mats

Stage: 3 and 4 Challenge Level: Challenge Level:1

Formulate and investigate a simple mathematical model for the design of a table mat.

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What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

Can you work out which processes are represented by the graphs?

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Witch's Hat

Stage: 3 and 4 Challenge Level: Challenge Level:1

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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Stadium Sightline

Stage: 4 and 5 Challenge Level: Challenge Level:1

How would you design the tiering of seats in a stadium so that all spectators have a good view?

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Air Nets

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

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Maths Filler

Stage: 4 Challenge Level: Challenge Level:1

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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What Do Functions Do for Tiny X?

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Looking at small values of functions. Motivating the existence of the Taylor expansion.

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Alternative Record Book

Stage: 4 and 5 Challenge Level: Challenge Level:1

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

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Mystery Procedure

Stage: 4 Challenge Level: Challenge Level:1

Can you work out what this procedure is doing?

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Immersion

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Various solids are lowered into a beaker of water. How does the water level rise in each case?

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Robot Camera

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

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Nine Eigen

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore how matrices can fix vectors and vector directions.

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Population Dynamics Collection

Stage: 5 Challenge Level: Challenge Level:1

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

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Genetics

Stage: 4 Challenge Level: Challenge Level:1

A problem about genetics and the transmission of disease.

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Big and Small Numbers in Chemistry

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Get some practice using big and small numbers in chemistry.

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Construct the Solar System

Stage: 4 and 5 Challenge Level: Challenge Level:1

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

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How Do You React?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

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Matrix Meaning

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

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Global Warming

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

How much energy has gone into warming the planet?

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Reaction Rates

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

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Taking Trigonometry Series-ly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the advanced way of viewing sin and cos through their power series.

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Scale Invariance

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

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Data Matching

Stage: 5 Challenge Level: Challenge Level:1

Use your skill and judgement to match the sets of random data.