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To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
How would you go about estimating populations of dolphins?
Examine these estimates. Do they sound about right?
Are these estimates of physical quantities accurate?
When a habitat changes, what happens to the food chain?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Invent a scoring system for a 'guess the weight' competition.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
Get some practice using big and small numbers in chemistry.
Work out the numerical values for these physical quantities.
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.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How much energy has gone into warming the planet?
Which dilutions can you make using only 10ml pipettes?
Can you work out which drink has the stronger flavour?
These Olympic quantities have been jumbled up! Can you put them back together again?
Analyse these beautiful biological images and attempt to rank them in size order.
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. . . .
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Can you deduce which Olympic athletics events are represented by the graphs?
Which units would you choose best to fit these situations?
Explore the properties of isometric drawings.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
When you change the units, do the numbers get bigger or smaller?
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?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
A problem about genetics and the transmission of disease.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Have you ever wondered what it would be like to race against Usain Bolt?
This problem explores the biology behind Rudolph's glowing red nose.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Simple models which help us to investigate how epidemics grow and die out.
How efficiently can you pack together disks?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Where should runners start the 200m race so that they have all run the same distance by the finish?
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 properties of perspective drawing.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
What shape would fit your pens and pencils best? How can you make it?
Various solids are lowered into a beaker of water. How does the water level rise in each case?