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#### Resources tagged with Maths Supporting SET similar to The Mean Game:

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### There are 94 results

Broad Topics > Applications > Maths Supporting SET

### Pdf Stories

##### Stage: 5 Challenge Level:

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

### Over-booking

##### Stage: 5 Challenge Level:

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

### 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.

### The Wrong Stats

##### Stage: 5 Challenge Level:

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

### Time to Evolve 2

##### Stage: 5 Challenge Level:

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

### Stirling Work

##### Stage: 5 Challenge Level:

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

### Dangerous Driver?

##### Stage: 5 Challenge Level:

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

### Whose Line Graph Is it Anyway?

##### Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

### Scientific Curves

##### Stage: 5 Challenge Level:

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

### Big and Small Numbers in the Physical World

##### Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

### Elastic Maths

##### Stage: 4 and 5

How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.

### Logic, Truth Tables and Switching Circuits Challenge

##### Stage: 3, 4 and 5

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

### Investigating Epidemics

##### Stage: 3 and 4 Challenge Level:

Simple models which help us to investigate how epidemics grow and die out.

### Guessing the Graph

##### Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

### Truth Tables and Electronic Circuits

##### Stage: 3, 4 and 5

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

### Global Warming

##### Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

### Big and Small Numbers in the Living World

##### Stage: 3 and 4 Challenge Level:

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

### Ball Bearings

##### Stage: 5 Challenge Level:

If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.

### Approximately Certain

##### Stage: 4 and 5 Challenge Level:

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

### 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.

### Building Approximations for Sin(x)

##### Stage: 5 Challenge Level:

Build up the concept of the Taylor series

### Big and Small Numbers in Physics

##### Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

### Vector Walk

##### Stage: 4 and 5 Challenge Level:

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

### Pdf Matcher

##### Stage: 5 Challenge Level:

Which pdfs match the curves?

### Brimful 2

##### Stage: 5 Challenge Level:

Which of these infinitely deep vessels will eventually full up?

### Aim High

##### Stage: 5 Challenge Level:

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

### Fix Me or Crush Me

##### Stage: 5 Challenge Level:

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

### 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?

### Polygon Walk

##### Stage: 5 Challenge Level:

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

### Big and Small Numbers in Chemistry

##### Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

### 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?

### Perspective Drawing

##### Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

### Epidemic Modelling

##### Stage: 4 and 5 Challenge Level:

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

### 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.

### Brimful

##### Stage: 5 Challenge Level:

Can you find the volumes of the mathematical vessels?

### Transformations for 10

##### Stage: 5 Challenge Level:

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

### Square Pair

##### Stage: 5 Challenge Level:

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

### 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.

### Crystal Symmetry

##### Stage: 5 Challenge Level:

Use vectors and matrices to explore the symmetries of crystals.

### Root Hunter

##### Stage: 5 Challenge Level:

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

### Choose Your Units

##### Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

### A Question of Scale

##### Stage: 4 Challenge Level:

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

### Counting Dolphins

##### Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

### Stats Statements

##### Stage: 5 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

### Bigger or Smaller?

##### Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

### More or Less?

##### Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

### Real-life Equations

##### Stage: 5 Challenge Level:

Here are several equations from real life. Can you work out which measurements are possible from each equation?

### Differential Equation Matcher

##### Stage: 5 Challenge Level:

Match the descriptions of physical processes to these differential equations.

### Debt Race

##### Stage: 5 Challenge Level:

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

### 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.