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 you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
How efficiently can you pack together disks?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Have you ever wondered what it would be like to race against Usain Bolt?
These Olympic quantities have been jumbled up! Can you put them back together again?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Can you work out which drink has the stronger flavour?
Simple models which help us to investigate how epidemics grow and die out.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
What shape would fit your pens and pencils best? How can you make it?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you work out which processes are represented by the graphs?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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.
Examine these estimates. Do they sound about right?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
When you change the units, do the numbers get bigger or smaller?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How much energy has gone into warming the planet?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Which units would you choose best to fit these situations?
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Which dilutions can you make using only 10ml pipettes?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Use your skill and judgement to match the sets of random data.
Is it really greener to go on the bus, or to buy local?
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?
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 perspective drawing.
When a habitat changes, what happens to the food chain?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Analyse these beautiful biological images and attempt to rank them in size order.
Explore the relationship between resistance and temperature
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?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?