How efficiently can you pack together disks?
Invent a scoring system for a 'guess the weight' competition.
Is it really greener to go on the bus, or to buy local?
Explore the properties of isometric drawings.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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.
Get some practice using big and small numbers in chemistry.
Can you work out which drink has the stronger flavour?
A problem about genetics and the transmission of disease.
Examine these estimates. Do they sound about right?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Have you ever wondered what it would be like to race against Usain Bolt?
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. . . .
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Can you work out what this procedure is doing?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Which dilutions can you make using only 10ml pipettes?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Where should runners start the 200m race so that they have all run the same distance by the finish?
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 perspective drawing.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you work out which processes are represented by the graphs?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
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?
When a habitat changes, what happens to the food chain?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Analyse these beautiful biological images and attempt to rank them in size order.
This problem explores the biology behind Rudolph's glowing red nose.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?
How would you go about estimating populations of dolphins?
Explore the relationship between resistance and temperature
Work out the numerical values for these physical quantities.
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?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How much energy has gone into warming the planet?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.