Starting with two basic vector steps, which destinations can you reach on a vector walk?
How much energy has gone into warming the planet?
Analyse these beautiful biological images and attempt to rank them in size order.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
How would you go about estimating populations of dolphins?
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.
Explore the properties of perspective drawing.
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calculate various quantities in physical 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.
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.
Examine these estimates. Do they sound about right?
A problem about genetics and the transmission of disease.
Get some practice using big and small numbers in chemistry.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Which dilutions can you make using only 10ml pipettes?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Can you work out which processes are represented by the graphs?
Formulate and investigate a simple mathematical model for the design of a table mat.
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 suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Is it really greener to go on the bus, or to buy local?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the relationship between resistance and temperature
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
How efficiently can you pack together disks?
Work out the numerical values for these physical quantities.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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?
Can you draw the height-time chart as this complicated vessel fills with water?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
When a habitat changes, what happens to the food chain?
Explore the properties of isometric drawings.
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?
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. . . .
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Have you ever wondered what it would be like to race against Usain Bolt?