Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Can you deduce which Olympic athletics events are represented by the graphs?
How would you go about estimating populations of dolphins?
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. . . .
Analyse these beautiful biological images and attempt to rank them in size order.
Examine these estimates. Do they sound about right?
Which dilutions can you make using only 10ml pipettes?
Can you work out which drink has the stronger flavour?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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 units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Explore the properties of isometric drawings.
What shape would fit your pens and pencils best? How can you make it?
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?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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.
Can you work out what this procedure is doing?
Get some practice using big and small numbers in chemistry.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Simple models which help us to investigate how epidemics grow and die out.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How efficiently can you pack together disks?
These Olympic quantities have been jumbled up! Can you put them back together again?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Invent a scoring system for a 'guess the weight' competition.
How much energy has gone into warming the planet?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
When a habitat changes, what happens to the food chain?
Can you draw the height-time chart as this complicated vessel fills
Is it really greener to go on the bus, or to buy local?
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. . . .
Explore the properties of perspective drawing.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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.
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.