Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How much energy has gone into warming the planet?
Which units would you choose best to fit these situations?
Get some practice using big and small numbers in chemistry.
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?
Are these estimates of physical quantities accurate?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
When you change the units, do the numbers get bigger or smaller?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Work out the numerical values for these physical quantities.
Explore the relationship between resistance and temperature
How would you go about estimating populations of dolphins?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Which dilutions can you make using only 10ml pipettes?
Examine these estimates. Do they sound about right?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
Analyse these beautiful biological images and attempt to rank them in size order.
A problem about genetics and the transmission of disease.
Simple models which help us to investigate how epidemics grow and die out.
Explore the properties of perspective drawing.
When a habitat changes, what happens to the food chain?
Can you work out which drink has the stronger flavour?
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. . . .
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?
Explore the properties of isometric drawings.
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.
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?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
This problem explores the biology behind Rudolph's glowing red nose.
Have you ever wondered what it would be like to race against Usain Bolt?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Where should runners start the 200m race so that they have all run the same distance by the finish?
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. . . .
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
How efficiently can you pack together disks?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
These Olympic quantities have been jumbled up! Can you put them back together again?
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.
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?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?