A problem about genetics and the transmission of disease.
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.
Simple models which help us to investigate how epidemics grow and die out.
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
How much energy has gone into warming the planet?
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?
Is it really greener to go on the bus, or to buy local?
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?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Explore the properties of perspective drawing.
When a habitat changes, what happens to the food chain?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
What shape would fit your pens and pencils best? How can you make it?
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. . . .
Which countries have the most naturally athletic populations?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
This problem explores the biology behind Rudolph's glowing red nose.
How would you go about estimating populations of dolphins?
Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?
Analyse these beautiful biological images and attempt to rank them in size order.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Can you deduce which Olympic athletics events are represented by the graphs?
When you change the units, do the numbers get bigger or smaller?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
These Olympic quantities have been jumbled up! Can you put them back together again?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Explore the properties of isometric drawings.
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Can you work out which drink has the stronger flavour?
Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the relationship between resistance and temperature
Can you work out which processes are represented by the graphs?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
Which dilutions can you make using only 10ml pipettes?
Can you work out what this procedure is doing?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Work out the numerical values for these physical quantities.