Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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.
Does weight confer an advantage to shot putters?
Can you work out what this procedure is doing?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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.
Have you ever wondered what it would be like to race against Usain Bolt?
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.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Which countries have the most naturally athletic populations?
What shape would fit your pens and pencils best? How can you make it?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Can you deduce which Olympic athletics events are represented by the graphs?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
A problem about genetics and the transmission of disease.
Explore the properties of perspective drawing.
Examine these estimates. Do they sound about right?
Can you work out which drink has the stronger flavour?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Which dilutions can you make using only 10ml pipettes?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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.
Get some practice using big and small numbers in chemistry.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
How efficiently can you pack together disks?
How would you go about estimating populations of dolphins?
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.
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?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
When you change the units, do the numbers get bigger or smaller?
These Olympic quantities have been jumbled up! Can you put them back together again?
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How much energy has gone into warming the planet?
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.
Work out the numerical values for these physical quantities.
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. . . .
Explore the relationship between resistance and temperature
Explore the properties of isometric drawings.
Analyse these beautiful biological images and attempt to rank them in size order.