Does weight confer an advantage to shot putters?
Invent a scoring system for a 'guess the weight' competition.
Can you deduce which Olympic athletics events are represented by the graphs?
Which countries have the most naturally athletic populations?
How efficiently can you pack together disks?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Use your skill and judgement to match the sets of random data.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Is it really greener to go on the bus, or to buy local?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Get some practice using big and small numbers in chemistry.
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
What shape would fit your pens and pencils best? How can you make it?
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.
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 sketch graphs to show how the height of water changes in different containers as they are filled?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Explore the relationship between resistance and temperature
Can you draw the height-time chart as this complicated vessel fills with water?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
These Olympic quantities have been jumbled up! Can you put them back together again?
Explore the properties of isometric drawings.
Which dilutions can you make using only 10ml pipettes?
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?
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?
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.
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. . . .
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
How much energy has gone into warming the planet?
Work out the numerical values for these physical quantities.
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?