Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
How efficiently can you pack together disks?
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.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Get some practice using big and small numbers in chemistry.
Examine these estimates. Do they sound about right?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Which dilutions can you make using only 10ml pipettes?
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?
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?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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. . . .
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Analyse these beautiful biological images and attempt to rank them in size order.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
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.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
How much energy has gone into warming the planet?
Explore the properties of perspective drawing.
Which units would you choose best to fit these situations?
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 physical contexts.
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?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Explore the properties of isometric drawings.
Can you draw the height-time chart as this complicated vessel fills with water?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
When a habitat changes, what happens to the food chain?
Simple models which help us to investigate how epidemics grow and die out.
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?
What shape would fit your pens and pencils best? How can you make it?
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. . . .
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.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Are these estimates of physical quantities accurate?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.