Formulate and investigate a simple mathematical model for the design of a table mat.
What shape would fit your pens and pencils best? How can you make it?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Can you work out what this procedure is doing?
Explore the properties of perspective drawing.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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.
Does weight confer an advantage to shot putters?
Is it really greener to go on the bus, or to buy local?
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?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Have you ever wondered what it would be like to race against Usain Bolt?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Which countries have the most naturally athletic populations?
How much energy has gone into warming the planet?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Can you work out which drink has the stronger flavour?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Simple models which help us to investigate how epidemics grow and die out.
Which dilutions can you make using only 10ml pipettes?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Explore the properties of isometric drawings.
Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
How efficiently can you pack together disks?
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?
When a habitat changes, what happens to the food chain?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Get some practice using big and small numbers in chemistry.
Can you work out which processes are represented by the graphs?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Are these estimates of physical quantities accurate?
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.
Which units would you choose best to fit these situations?
Can you deduce which Olympic athletics events are represented by the graphs?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
This problem explores the biology behind Rudolph's glowing red nose.
Analyse these beautiful biological images and attempt to rank them in size order.