Formulate and investigate a simple mathematical model for the design of a table mat.
Explore the properties of perspective drawing.
How much energy has gone into warming the planet?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Get some practice using big and small numbers in chemistry.
How efficiently can you pack together disks?
Examine these estimates. Do they sound about right?
Is it really greener to go on the bus, or to buy local?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
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.
A problem about genetics and the transmission of disease.
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. . . .
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Which units would you choose best to fit these situations?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Can you work out what this procedure is doing?
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 relationship between resistance and temperature
Simple models which help us to investigate how epidemics grow and die out.
This problem explores the biology behind Rudolph's glowing red nose.
Can you work out which processes are represented by 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?
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.
Where should runners start the 200m race so that they have all run the same distance by the finish?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Can you draw the height-time chart as this complicated vessel fills
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?
Which dilutions can you make using only 10ml pipettes?
Explore the properties of isometric drawings.
When you change the units, do the numbers get bigger or smaller?
How would you go about estimating populations of dolphins?
Which countries have the most naturally athletic populations?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
Can you deduce which Olympic athletics events are represented by the graphs?
What shape would fit your pens and pencils best? How can you make it?
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Are these estimates of physical quantities accurate?
Work out the numerical values for these physical quantities.