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?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
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?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.
Explore the properties of isometric drawings.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Formulate and investigate a simple mathematical model for the design of a table mat.
Explore the properties of perspective drawing.
Can you work out which processes are represented by the graphs?
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?
Can you draw the height-time chart as this complicated vessel fills with water?
How much energy has gone into warming the planet?
Is it really greener to go on the bus, or to buy local?
Can you work out what this procedure is doing?
Get some practice using big and small numbers in chemistry.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
What shape would fit your pens and pencils best? How can you make it?
Examine these estimates. Do they sound about right?
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
When a habitat changes, what happens to the food chain?
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.
Explore the relationship between resistance and temperature
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Which dilutions can you make using only 10ml pipettes?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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. . . .
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?
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?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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
Work out the numerical values for these physical quantities.
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
A problem about genetics and the transmission of disease.
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Can you deduce which Olympic athletics events are represented by the graphs?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?