Get some practice using big and small numbers in chemistry.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Invent scenarios which would give rise to these probability density functions.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which line graph, equations and physical processes go together?
Why MUST these statistical statements probably be at least a little bit wrong?
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.
Was it possible that this dangerous driving penalty was issued in error?
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?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Simple models which help us to investigate how epidemics grow and die out.
Explore the properties of perspective drawing.
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Get further into power series using the fascinating Bessel's equation.
Can you match the charts of these functions to the charts of their integrals?
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Analyse these beautiful biological images and attempt to rank them in size order.
Explore the shape of a square after it is transformed by the action of a matrix.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How much energy has gone into warming the planet?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Work out the numerical values for these physical quantities.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Use vectors and matrices to explore the symmetries of crystals.
How would you go about estimating populations of dolphins?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Look at the advanced way of viewing sin and cos through their power series.
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Match the descriptions of physical processes to these differential equations.
Which units would you choose best to fit these situations?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
When you change the units, do the numbers get bigger or smaller?
Are these estimates of physical quantities accurate?
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Who will be the first investor to pay off their debt?
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
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.
A problem about genetics and the transmission of disease.
Explore the relationship between resistance and temperature
Explore how matrices can fix vectors and vector directions.
Can you make matrices which will fix one lucky vector and crush another to zero?
This problem explores the biology behind Rudolph's glowing red nose.
Can you work out which processes are represented by the graphs?
Can you work out what this procedure is doing?
Explore the properties of matrix transformations with these 10 stimulating questions.