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#### Resources tagged with Maths Supporting SET similar to Real-life Equations:

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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.

### The Wrong Stats

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

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

### Stats Statements

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

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

### Whose Line Graph Is it Anyway?

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

Which line graph, equations and physical processes go together?

### 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.

### Transformations for 10

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

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

### Debt Race

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

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

### Crystal Symmetry

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

Use vectors and matrices to explore the symmetries of crystals.

### Pdf Matcher

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

Which pdfs match the curves?

### 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?

### 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?

### 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.

### Biology Measurement Challenge

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

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

### Global Warming

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

How much energy has gone into warming the planet?

### Brimful

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

Can you find the volumes of the mathematical vessels?

### Bessel's Equation

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

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

### Integration Matcher

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

Match the charts of these functions to the charts of their integrals.

### Vector Walk

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

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

### Brimful 2

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

Which of these infinitely deep vessels will eventually full up?

### 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?

### Big and Small Numbers in Chemistry

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

Get some practice using big and small numbers in chemistry.

### Designing Table Mats

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

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

### 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?

### 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.

### Electric Kettle

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

Explore the relationship between resistance and temperature

### 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.

### 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.

### Square Pair

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

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

### Counting Dolphins

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

How would you go about estimating populations of dolphins?

### Approximately Certain

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

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

### Choose Your Units

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

Which units would you choose best to fit these situations?

### 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 the Physical World

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

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

### Reaction Rates

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

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

### Building Approximations for Sin(x)

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

Build up the concept of the Taylor series

### More or Less?

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

Are these estimates of physical quantities accurate?

### Equation Matcher

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

Can you match these equations to these graphs?

### Bigger or Smaller?

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

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

### Root Hunter

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

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

### 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.

### Back Fitter

##### Age 14 to 16 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?

### Carbon Footprints

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

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

### How Do You React?

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

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

### Scientific Curves

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

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

### 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?

### Nine Eigen

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

Explore how matrices can fix vectors and vector directions.

### Production Equation

##### Age 16 to 18 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?

### What's That Graph?

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

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