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?
Analyse these beautiful biological images and attempt to rank them in size order.
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Get some practice using big and small numbers in chemistry.
How would you go about estimating populations of dolphins?
How much energy has gone into warming the planet?
Examine these estimates. Do they sound about right?
Can you work out which processes are represented by the graphs?
Work out the numerical values for these physical quantities.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
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?
When a habitat changes, what happens to the food chain?
Can you draw the height-time chart as this complicated vessel fills with water?
A problem about genetics and the transmission of disease.
This problem explores the biology behind Rudolph's glowing red nose.
Explore the relationship between resistance and temperature
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Explore the properties of perspective drawing.
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 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?
Can you work out what this procedure is doing?
Formulate and investigate a simple mathematical model for the design of a table mat.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How efficiently can you pack together disks?
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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 dilutions can you make using only 10ml pipettes?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Where should runners start the 200m race so that they have all run the same distance by the finish?
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. . . .
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you work out which drink has the stronger flavour?
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. . . .
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
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 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.
Simple models which help us to investigate how epidemics grow and die out.
Explore the properties of isometric drawings.