Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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.
Which dilutions can you make using only 10ml pipettes?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
How much energy has gone into warming the planet?
Work out the numerical values for these physical quantities.
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 rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Examine these estimates. Do they sound about right?
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?
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?
Have you ever wondered what it would be like to race against Usain Bolt?
How would you go about estimating populations of dolphins?
Can you work out which drink has the stronger flavour?
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?
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. . . .
Formulate and investigate a simple mathematical model for the design of a table mat.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Explore the properties of perspective drawing.
Get some practice using big and small numbers in chemistry.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
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?
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Simple models which help us to investigate how epidemics grow and die out.
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?
When a habitat changes, what happens to the food chain?
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?
Explore the properties of isometric drawings.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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.
What shape would fit your pens and pencils best? How can you make it?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Can you deduce which Olympic athletics events are represented by the graphs?