An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
How much energy has gone into warming the planet?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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?
Get some practice using big and small numbers in chemistry.
Simple models which help us to investigate how epidemics grow and die out.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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?
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.
Work out the numerical values for these physical quantities.
Formulate and investigate a simple mathematical model for the design of a table mat.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Is it really greener to go on the bus, or to buy local?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
How would you go about estimating populations of dolphins?
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. . . .
Explore the properties of perspective drawing.
Which dilutions can you make using only 10ml pipettes?
When a habitat changes, what happens to the food chain?
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 biological contexts.
Explore the relationship between resistance and temperature
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
How efficiently can you pack together disks?
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.
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.
Are these estimates of physical quantities accurate?
When you change the units, do the numbers get bigger or smaller?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
A problem about genetics and the transmission of disease.
What shape would fit your pens and pencils best? How can you make it?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Can you work out which processes are represented by the graphs?
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?
Examine these estimates. Do they sound about right?
Can you draw the height-time chart as this complicated vessel fills with water?
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?
This problem explores the biology behind Rudolph's glowing red nose.
Analyse these beautiful biological images and attempt to rank them in size order.
Which countries have the most naturally athletic populations?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Various solids are lowered into a beaker of water. How does the water level rise in each case?