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Resources tagged with Maths Supporting SET similar to Weekly Challenge 42: What's My Equation?:

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Broad Topics > Applications > Maths Supporting SET

Differential Equation Matcher

Stage: 5 Challenge Level:

Match the descriptions of physical processes to these differential equations.

Crystal Symmetry

Stage: 5 Challenge Level:

Use vectors and matrices to explore the symmetries of crystals.

Reaction Rates

Stage: 5 Challenge Level:

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

Bessel's Equation

Stage: 5 Challenge Level:

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

Taking Trigonometry Series-ly

Stage: 5 Challenge Level:

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

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?

The Wrong Stats

Stage: 5 Challenge Level:

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

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?

Equation Matcher

Stage: 5 Challenge Level:

Can you match these equations to these graphs?

Counting Dolphins

Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

Integration Matcher

Stage: 5 Challenge Level:

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

Dangerous Driver?

Stage: 5 Challenge Level:

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

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.

Pdf Stories

Stage: 5 Challenge Level:

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

Square Pair

Stage: 5 Challenge Level:

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

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...

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?

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

Transformations for 10

Stage: 5 Challenge Level:

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

Polygon Walk

Stage: 5 Challenge Level:

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

Stirling Work

Stage: 5 Challenge Level:

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

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?

Vector Walk

Stage: 4 and 5 Challenge Level:

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

Fix Me or Crush Me

Stage: 5 Challenge Level:

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

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.

Perspective Drawing

Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

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.

Debt Race

Stage: 5 Challenge Level:

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

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?

More or Less?

Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

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.

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?

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.

Electric Kettle

Stage: 4 Challenge Level:

Explore the relationship between resistance and temperature

Building Approximations for Sin(x)

Stage: 5 Challenge Level:

Build up the concept of the Taylor series

Biology Measurement Challenge

Stage: 4 Challenge Level:

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

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.

Stats Statements

Stage: 5 Challenge Level:

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

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.

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.

Alternative Record Book

Stage: 4 and 5 Challenge Level:

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

Scientific Curves

Stage: 5 Challenge Level:

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

What's That Graph?

Stage: 4 Challenge Level:

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

Designing Table Mats

Stage: 3 and 4 Challenge Level:

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

Spherical Triangles on Very Big Spheres

Stage: 5 Challenge Level:

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.