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.
Can you work out what this procedure is doing?
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?
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?
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. . . .
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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 efficiently can you pack together disks?
Does weight confer an advantage to shot putters?
When you change the units, do the numbers get bigger or smaller?
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.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Get some practice using big and small numbers in chemistry.
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 with numbers big and small to estimate and calculate various quantities in physical contexts.
Which units would you choose best to fit these situations?
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Can you work out which processes are represented by the graphs?
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 would you design the tiering of seats in a stadium so that all spectators have a good view?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
A problem about genetics and the transmission of disease.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Are these estimates of physical quantities accurate?
Explore the properties of perspective drawing.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Analyse these beautiful biological images and attempt to rank them in size order.
Explore the relationship between resistance and temperature
This problem explores the biology behind Rudolph's glowing red nose.
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?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
How would you go about estimating populations of dolphins?
Can you draw the height-time chart as this complicated vessel fills
Work out the numerical values for these physical quantities.
Which dilutions can you make using only 10ml pipettes?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
What shape would fit your pens and pencils best? How can you make it?
When a habitat changes, what happens to the food chain?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?