Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Work out the numerical values for these physical quantities.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How much energy has gone into warming the planet?
Get some practice using big and small numbers in chemistry.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Can you work out what this procedure is doing?
Examine these estimates. Do they sound about right?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
This problem explores the biology behind Rudolph's glowing red nose.
Explore the relationship between resistance and temperature
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 sketch graphs to show how the height of water changes in different containers as they are filled?
Which dilutions can you make using only 10ml pipettes?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Formulate and investigate a simple mathematical model for the design of a table mat.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
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. . . .
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Explore the properties of isometric drawings.
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. . . .
How efficiently can you pack together disks?
Can you work out which drink has the stronger flavour?
How would you go about estimating populations of dolphins?
When a habitat changes, what happens to the food chain?
Is it really greener to go on the bus, or to buy local?
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?
Are these estimates of physical quantities accurate?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Simple models which help us to investigate how epidemics grow and die out.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Explore the properties of perspective drawing.
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.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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.
Can you work out which processes are represented by the graphs?