Formulate and investigate a simple mathematical model for the design of a table mat.
Explore the properties of perspective drawing.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
How much energy has gone into warming the planet?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
A problem about genetics and the transmission of disease.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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?
Get some practice using big and small numbers in chemistry.
When a habitat changes, what happens to the food chain?
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.
Examine these estimates. Do they sound about right?
Is it really greener to go on the bus, or to buy local?
Explore the relationship between resistance and temperature
How would you go about estimating populations of dolphins?
Analyse these beautiful biological images and attempt to rank them in size order.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
This problem explores the biology behind Rudolph's glowing red nose.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Can you work out what this procedure is doing?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can you work out which processes are represented by the graphs?
Simple models which help us to investigate how epidemics grow and die out.
Which dilutions can you make using only 10ml pipettes?
Explore the properties of isometric drawings.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
What shape would fit your pens and pencils best? How can you make it?
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. . . .
Where should runners start the 200m race so that they have all run the same distance by the finish?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How efficiently can you pack together disks?
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Can you draw the height-time chart as this complicated vessel fills with water?
Work out the numerical values for these physical quantities.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
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?