An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Formulate and investigate a simple mathematical model for the design of a table mat.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How much energy has gone into warming the planet?
Which units would you choose best to fit these situations?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
When you change the units, do the numbers get bigger or smaller?
Is it really greener to go on the bus, or to buy local?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Work out the numerical values for these physical quantities.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
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.
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?
Examine these estimates. Do they sound about right?
Which dilutions can you make using only 10ml pipettes?
Explore the relationship between resistance and temperature
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
How efficiently can you pack together disks?
A problem about genetics and the transmission of disease.
Where should runners start the 200m race so that they have all run the same distance by the finish?
When a habitat changes, what happens to the food chain?
Explore the properties of perspective drawing.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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?
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?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Can you work out which processes are represented by the graphs?
Simple models which help us to investigate how epidemics grow and die out.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Can you draw the height-time chart as this complicated vessel fills with water?
Analyse these beautiful biological images and attempt to rank them in size order.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
How would you go about estimating populations of dolphins?
Are these estimates of physical quantities accurate?
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?
Have you ever wondered what it would be like to race against Usain Bolt?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
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 work out which drink has the stronger flavour?
These Olympic quantities have been jumbled up! Can you put them back together again?
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?