Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Get some practice using big and small numbers in chemistry.
How much energy has gone into warming the planet?
Work out the numerical values for these physical quantities.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
How would you go about estimating populations of dolphins?
How efficiently can you pack together disks?
Examine these estimates. Do they sound about right?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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.
Which units would you choose best to fit these situations?
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?
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
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
When a habitat changes, what happens to the food chain?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Can you work out what this procedure is doing?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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?
Which dilutions can you make using only 10ml pipettes?
Explore the properties of perspective drawing.
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.
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
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?
Simple models which help us to investigate how epidemics grow and die out.
Can you deduce which Olympic athletics events 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?
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.
Explore the properties of isometric drawings.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you work out which processes are represented by the graphs?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
A problem about genetics and the transmission of disease.
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 sketch graphs to show how the height of water changes in different containers as they are filled?