How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
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. . . .
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Use your skill and judgement to match the sets of random data.
Estimate areas using random grids
How do you choose your planting levels to minimise the total loss at harvest time?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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.
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
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.
Simple models which help us to investigate how epidemics grow and die out.
Which of these infinitely deep vessels will eventually full up?
Can you draw the height-time chart as this complicated vessel fills with water?
Does weight confer an advantage to shot putters?
Can you work out which processes are represented by the graphs?
Can you find the volumes of the mathematical vessels?
Which pdfs match the curves?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How would you go about estimating populations of dolphins?
Which line graph, equations and physical processes go together?
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?
Use vectors and matrices to explore the symmetries of crystals.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Can you make matrices which will fix one lucky vector and crush another to zero?
Explore how matrices can fix vectors and vector directions.
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Go on a vector walk and determine which points on the walk are closest to the origin.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Can you match these equations to these graphs?
Explore the properties of matrix transformations with these 10 stimulating questions.
Who will be the first investor to pay off their debt?
Explore the relationship between resistance and temperature
This problem explores the biology behind Rudolph's glowing red nose.
Analyse these beautiful biological images and attempt to rank them in size order.
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?
Explore the properties of perspective drawing.
In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?
Match the descriptions of physical processes to these differential equations.
Here are several equations from real life. Can you work out which measurements are possible from each equation?
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Explore the shape of a square after it is transformed by the action of a matrix.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
How efficiently can you pack together disks?
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Formulate and investigate a simple mathematical model for the design of a table mat.
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?
Where should runners start the 200m race so that they have all run the same distance by the finish?