Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How much energy has gone into warming the planet?
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.
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.
Which units would you choose best to fit these situations?
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?
How would you go about estimating populations of dolphins?
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?
Explore the relationship between resistance and temperature
When a habitat changes, what happens to the food chain?
Explore the properties of perspective drawing.
Examine these estimates. Do they sound about right?
This problem explores the biology behind Rudolph's glowing red nose.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Which dilutions can you make using only 10ml pipettes?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Can you work out what this procedure is doing?
Formulate and investigate a simple mathematical model for the design of a table mat.
A problem about genetics and the transmission of disease.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
How efficiently can you pack together disks?
Are these estimates of physical quantities accurate?
Can you draw the height-time chart as this complicated vessel fills with water?
Analyse these beautiful biological images and attempt to rank them in size order.
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?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
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.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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 which processes are represented by the graphs?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can you work out which drink has the stronger flavour?
Have you ever wondered what it would be like to race against Usain Bolt?