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### There are 93 results

Broad Topics > Applications > Maths Supporting SET

### Real-life Equations

##### Age 16 to 18 Challenge Level:

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

### Population Dynamics Collection

##### Age 16 to 18 Challenge Level:

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

### Reaction Rates

##### Age 16 to 18 Challenge Level:

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

### Pdf Matcher

##### Age 16 to 18 Challenge Level:

Which pdfs match the curves?

### What Do Functions Do for Tiny X?

##### Age 16 to 18 Challenge Level:

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

### Crystal Symmetry

##### Age 16 to 18 Challenge Level:

Use vectors and matrices to explore the symmetries of crystals.

### Constantly Changing

##### Age 14 to 16 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.

### Stirling Work

##### Age 16 to 18 Challenge Level:

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

### Pdf Stories

##### Age 16 to 18 Challenge Level:

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

### Whose Line Graph Is it Anyway?

##### Age 16 to 18 Challenge Level:

Which line graph, equations and physical processes go together?

### Over-booking

##### Age 16 to 18 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?

### Designing Table Mats

##### Age 11 to 16 Challenge Level:

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

### Building Approximations for Sin(x)

##### Age 16 to 18 Challenge Level:

Build up the concept of the Taylor series

### Far Horizon

##### Age 14 to 16 Challenge Level:

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

### The Wrong Stats

##### Age 16 to 18 Challenge Level:

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

### Big and Small Numbers in the Living World

##### Age 11 to 16 Challenge Level:

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

### Global Warming

##### Age 14 to 16 Challenge Level:

How much energy has gone into warming the planet?

### Approximately Certain

##### Age 14 to 18 Challenge Level:

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

### Guessing the Graph

##### Age 14 to 16 Challenge Level:

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

### Biology Measurement Challenge

##### Age 14 to 16 Challenge Level:

Analyse these beautiful biological images and attempt to rank them in size order.

### Investigating the Dilution Series

##### Age 14 to 16 Challenge Level:

Which dilutions can you make using only 10ml pipettes?

### Dangerous Driver?

##### Age 16 to 18 Challenge Level:

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

### Bessel's Equation

##### Age 16 to 18 Challenge Level:

Get further into power series using the fascinating Bessel's equation.

### Cross with the Scalar Product

##### Age 16 to 18 Challenge Level:

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

### Counting Dolphins

##### Age 14 to 16 Challenge Level:

How would you go about estimating populations of dolphins?

### Scientific Curves

##### Age 16 to 18 Challenge Level:

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

### Nutrition and Cycling

##### Age 14 to 16 Challenge Level:

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

##### Age 14 to 16 Challenge Level:

Which units would you choose best to fit these situations?

### Debt Race

##### Age 16 to 18 Challenge Level:

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

### Differential Equation Matcher

##### Age 16 to 18 Challenge Level:

Match the descriptions of physical processes to these differential equations.

### Matrix Meaning

##### Age 16 to 18 Challenge Level:

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

### Scale Invariance

##### Age 16 to 18 Challenge Level:

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

### Taking Trigonometry Series-ly

##### Age 16 to 18 Challenge Level:

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

### Big and Small Numbers in Chemistry

##### Age 14 to 16 Challenge Level:

Get some practice using big and small numbers in chemistry.

### Square Pair

##### Age 16 to 18 Challenge Level:

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

### Transformations for 10

##### Age 16 to 18 Challenge Level:

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

### More or Less?

##### Age 14 to 16 Challenge Level:

Are these estimates of physical quantities accurate?

### Big and Small Numbers in Physics

##### Age 14 to 16 Challenge Level:

Work out the numerical values for these physical quantities.

### Stats Statements

##### Age 16 to 18 Challenge Level:

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

### Big and Small Numbers in the Physical World

##### Age 14 to 16 Challenge Level:

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

### Bigger or Smaller?

##### Age 14 to 16 Challenge Level:

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

### Vector Walk

##### Age 14 to 18 Challenge Level:

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

### Fix Me or Crush Me

##### Age 16 to 18 Challenge Level:

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

### Polygon Walk

##### Age 16 to 18 Challenge Level:

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

### Carbon Footprints

##### Age 14 to 16 Challenge Level:

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

### Fill Me up Too

##### Age 14 to 16 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?

### Nine Eigen

##### Age 16 to 18 Challenge Level:

Explore how matrices can fix vectors and vector directions.

### Epidemic Modelling

##### Age 14 to 18 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.

### Robot Camera

##### Age 14 to 16 Challenge Level:

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

### Aim High

##### Age 16 to 18 Challenge Level:

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