Get some practice using big and small numbers in chemistry.
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.
How much energy has gone into warming the planet?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
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?
Which units would you choose best to fit these situations?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Examine these estimates. Do they sound about right?
When you change the units, do the numbers get bigger or smaller?
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?
Explore the relationship between resistance and temperature
When a habitat changes, what happens to the food chain?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
How would you go about estimating populations of dolphins?
Which dilutions can you make using only 10ml pipettes?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Formulate and investigate a simple mathematical model for the design of a table mat.
Explore the properties of perspective drawing.
Explore the properties of isometric drawings.
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 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.
This problem explores the biology behind Rudolph's glowing red nose.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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?
Analyse these beautiful biological images and attempt to rank them in size order.
Can you work out which processes are represented by the graphs?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
How efficiently can you pack together disks?
Is it really greener to go on the bus, or to buy local?
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.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
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.
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.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
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. . . .
Can you draw the height-time chart as this complicated vessel fills with water?
Can you work out which drink has the stronger flavour?
Where should runners start the 200m race so that they have all run the same distance by the finish?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?