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Resources tagged with Maths Supporting SET similar to Transformations for 10:

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Broad Topics > Applications > Maths Supporting SET

Transformations for 10

Stage: 5 Challenge Level:

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

Nine Eigen

Stage: 5 Challenge Level:

Explore how matrices can fix vectors and vector directions.

Square Pair

Stage: 5 Challenge Level:

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

Matrix Meaning

Stage: 5 Challenge Level:

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

Fix Me or Crush Me

Stage: 5 Challenge Level:

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

Vector Walk

Stage: 4 and 5 Challenge Level:

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

Cross with the Scalar Product

Stage: 5 Challenge Level:

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

Polygon Walk

Stage: 5 Challenge Level:

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

Air Routes

Stage: 5 Challenge Level:

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.

The Wrong Stats

Stage: 5 Challenge Level:

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

Pdf Matcher

Stage: 5 Challenge Level:

Which pdfs match the curves?

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Big and Small Numbers in Physics

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Crystal Symmetry

Stage: 5 Challenge Level:

Use vectors and matrices to explore the symmetries of crystals.

Back Fitter

Stage: 4 Challenge Level:

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?

Immersion

Stage: 4 Challenge Level:

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

Aim High

Stage: 5 Challenge Level:

How do you choose your planting levels to minimise the total loss at harvest time?

Brimful

Stage: 5 Challenge Level:

Can you find the volumes of the mathematical vessels?

Maths Filler 2

Stage: 4 Challenge Level:

Can you draw the height-time chart as this complicated vessel fills with water?

Who's the Best?

Stage: 3 and 4 Challenge Level:

Which countries have the most naturally athletic populations?

Curve Fitter 2

Stage: 5 Challenge Level:

Can you construct a cubic equation with a certain distance between its turning points?

Brimful 2

Stage: 5 Challenge Level:

Which of these infinitely deep vessels will eventually full up?

Constantly Changing

Stage: 4 Challenge Level:

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

Perspective Drawing

Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

Robot Camera

Stage: 4 Challenge Level:

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

What's That Graph?

Stage: 4 Challenge Level:

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

Pdf Stories

Stage: 5 Challenge Level:

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

Population Dynamics Collection

Stage: 5 Challenge Level:

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

How Do You React?

Stage: 4 Challenge Level:

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

Genetics

Stage: 4 Challenge Level:

A problem about genetics and the transmission of disease.

Designing Table Mats

Stage: 3 and 4 Challenge Level:

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

Fill Me up Too

Stage: 4 Challenge Level:

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?

Maths Filler

Stage: 4 Challenge Level:

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

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

Stage: 4 and 5 Challenge Level:

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

Scientific Curves

Stage: 5 Challenge Level:

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

Dangerous Driver?

Stage: 5 Challenge Level:

Was it possible that this dangerous driving penalty was issued in error?

Stirling Work

Stage: 5 Challenge Level:

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

Global Warming

Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

Scale Invariance

Stage: 5 Challenge Level:

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

Data Matching

Stage: 5 Challenge Level:

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

Differential Equation Matcher

Stage: 5 Challenge Level:

Match the descriptions of physical processes to these differential equations.

Taking Trigonometry Series-ly

Stage: 5 Challenge Level:

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

Reaction Rates

Stage: 5 Challenge Level:

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

Big and Small Numbers in Biology

Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

Debt Race

Stage: 5 Challenge Level:

Who will be the first investor to pay off their debt?

The Monte Carlo Method

Stage: 5 Challenge Level:

Estimate areas using random grids

Odd One Out

Stage: 5 Short Challenge Level:

In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?

Production Equation

Stage: 5 Challenge Level:

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

Weekly Challenge 48: Quorum-sensing

Stage: 4 Short Challenge Level:

This problem explores the biology behind Rudolph's glowing red nose.