Is it really greener to go on the bus, or to buy local?
Can you deduce which Olympic athletics events are represented by the graphs?
How efficiently can you pack together disks?
How much energy has gone into warming the planet?
Simple models which help us to investigate how epidemics grow and die out.
Invent a scoring system for a 'guess the weight' competition.
Formulate and investigate a simple mathematical model for the design of a table mat.
Which countries have the most naturally athletic populations?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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. . . .
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
What shape would fit your pens and pencils best? How can you make it?
Work out the numerical values for these physical quantities.
Get some practice using big and small numbers in chemistry.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Examine these estimates. Do they sound about right?
Which dilutions can you make using only 10ml pipettes?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
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.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Does weight confer an advantage to shot putters?
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 drink has the stronger flavour?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
This problem explores the biology behind Rudolph's glowing red nose.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
Where should runners start the 200m race so that they have all run the same distance by the finish?
When you change the units, do the numbers get bigger or smaller?
Explore the properties of perspective drawing.
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?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Which units would you choose best to fit these situations?
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?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
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. . . .
When a habitat changes, what happens to the food chain?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
Use trigonometry to determine whether solar eclipses on earth can be perfect.