Can you work out what this procedure is doing?
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.
Have you ever wondered what it would be like to race against Usain Bolt?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Does weight confer an advantage to shot putters?
What shape would fit your pens and pencils best? How can you make it?
Formulate and investigate a simple mathematical model for the design of a table mat.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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?
Explore the properties of perspective drawing.
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?
Is it really greener to go on the bus, or to buy local?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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 which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
A problem about genetics and the transmission of disease.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Examine these estimates. Do they sound about right?
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?
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. . . .
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
When a habitat changes, what happens to the food chain?
Get some practice using big and small numbers in chemistry.
Can you work out which processes are represented by the graphs?
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.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
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.
How would you go about estimating populations of dolphins?
Analyse these beautiful biological images and attempt to rank them in size order.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
These Olympic quantities have been jumbled up! Can you put them back together again?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Can you deduce which Olympic athletics events are represented by the graphs?
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.
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.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Work out the numerical values for these physical quantities.