Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Are these estimates of physical quantities accurate?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
When a habitat changes, what happens to the food chain?
How would you go about estimating populations of dolphins?
Simple models which help us to investigate how epidemics grow and die out.
How much energy has gone into warming the planet?
Work out the numerical values for these physical quantities.
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?
How efficiently can you pack together disks?
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?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Analyse these beautiful biological images and attempt to rank them in size order.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
This problem explores the biology behind Rudolph's glowing red nose.
Get some practice using big and small numbers in chemistry.
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. . . .
When you change the units, do the numbers get bigger or smaller?
Examine these estimates. Do they sound about right?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
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.
What shape would fit your pens and pencils best? How can you make it?
Explore the properties of isometric drawings.
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.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
Formulate and investigate a simple mathematical model for the design of a table mat.
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 deduce which Olympic athletics events are represented by the graphs?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Have you ever wondered what it would be like to race against Usain Bolt?
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 Jo make a gym bag for her trainers from the piece of fabric she has?
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?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Explore the relationship between resistance and temperature
Explore the properties of perspective drawing.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
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?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
These Olympic quantities have been jumbled up! Can you put them back together again?
How would you design the tiering of seats in a stadium so that all spectators have a good view?