An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Formulate and investigate a simple mathematical model for the design of a table mat.
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. . . .
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?
How much energy has gone into warming the planet?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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.
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.
Get some practice using big and small numbers in chemistry.
How would you go about estimating populations of dolphins?
How efficiently can you pack together disks?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Which dilutions can you make using only 10ml pipettes?
Explore the relationship between resistance and temperature
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Are these estimates of physical quantities accurate?
Which units would you choose best to fit these situations?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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?
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. . . .
A problem about genetics and the transmission of disease.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Examine these estimates. Do they sound about right?
Can you work out which processes are represented by the graphs?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
What shape would fit your pens and pencils best? How can you make it?
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?
Explore the properties of perspective drawing.
When a habitat changes, what happens to the food chain?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
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 draw the height-time chart as this complicated vessel fills with water?
Which countries have the most naturally athletic populations?
Can you deduce which Olympic athletics events are represented by the graphs?
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?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
This problem explores the biology behind Rudolph's glowing red nose.
Analyse these beautiful biological images and attempt to rank them in size order.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Is it really greener to go on the bus, or to buy local?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Have you ever wondered what it would be like to race against Usain Bolt?
Work out the numerical values for these physical quantities.