Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Invent a scoring system for a 'guess the weight' competition.
Which countries have the most naturally athletic populations?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Explore the properties of perspective drawing.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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?
Work out the numerical values for these physical quantities.
Examine these estimates. Do they sound about right?
Which dilutions can you make using only 10ml pipettes?
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. . . .
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.
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.
Get some practice using big and small numbers in chemistry.
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
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.
This problem explores the biology behind Rudolph's glowing red nose.
How efficiently can you pack together disks?
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Can you work out which processes are represented by the graphs?
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 Jo make a gym bag for her trainers from the piece of fabric she has?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Analyse these beautiful biological images and attempt to rank them in size order.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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.
Simple models which help us to investigate how epidemics grow and die out.
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.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Explore the relationship between resistance and temperature
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?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
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?
Can you draw the height-time chart as this complicated vessel fills with water?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Can you work out which drink has the stronger flavour?
Is it really greener to go on the bus, or to buy local?
Are these estimates of physical quantities accurate?
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
When a habitat changes, what happens to the food chain?