Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Get some practice using big and small numbers in chemistry.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Work out the numerical values for these physical quantities.
How much energy has gone into warming the planet?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Which units would you choose best to fit these situations?
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
When you change the units, do the numbers get bigger or smaller?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Which dilutions can you make using only 10ml pipettes?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Explore the relationship between resistance and temperature
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Examine these estimates. Do they sound about right?
Can you work out which drink has the stronger flavour?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
How would you go about estimating populations of dolphins?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Formulate and investigate a simple mathematical model for the design of a table mat.
When a habitat changes, what happens to the food chain?
Explore the properties of perspective drawing.
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?
Can you work out what this procedure is doing?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Analyse these beautiful biological images and attempt to rank them in size order.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Can you deduce which Olympic athletics events are represented by the graphs?
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.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Is it really greener to go on the bus, or to buy local?
These Olympic quantities have been jumbled up! Can you put them back together again?
Explore the properties of isometric drawings.
This problem explores the biology behind Rudolph's glowing red nose.
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?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
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?
Simple models which help us to investigate how epidemics grow and die out.
A problem about genetics and the transmission of disease.
How efficiently can you pack together disks?
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.