Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Explore the properties of isometric drawings.
Can you work out which drink has the stronger flavour?
Examine these estimates. Do they sound about right?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Invent a scoring system for a 'guess the weight' competition.
What shape would fit your pens and pencils best? How can you make it?
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. . . .
When a habitat changes, what happens to the food chain?
Which dilutions can you make using only 10ml pipettes?
How would you go about estimating populations of dolphins?
Get some practice using big and small numbers in chemistry.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
These Olympic quantities have been jumbled up! Can you put them back together again?
Are these estimates of physical quantities accurate?
Can you deduce which Olympic athletics events are represented by the graphs?
Can you work out what this procedure is doing?
Formulate and investigate a simple mathematical model for the design of a table mat.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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?
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?
Explore the relationship between resistance and temperature
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the properties of perspective drawing.
Analyse these beautiful biological images and attempt to rank them in size order.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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?
Have you ever wondered what it would be like to race against Usain Bolt?
Is it really greener to go on the bus, or to buy local?
Work out the numerical values for these physical quantities.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
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?
This problem explores the biology behind Rudolph's glowing red nose.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
A problem about genetics and the transmission of disease.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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?