What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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?
How efficiently can you pack together disks?
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?
Explore the properties of perspective drawing.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Is it really greener to go on the bus, or to buy local?
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?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Have you ever wondered what it would be like to race against Usain Bolt?
Can you work out what this procedure is doing?
A problem about genetics and the transmission of disease.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
Explore the properties of isometric drawings.
How much energy has gone into warming the planet?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Can you work out which processes are represented by the graphs?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Analyse these beautiful biological images and attempt to rank them in size order.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
This problem explores the biology behind Rudolph's glowing red
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Which countries have the most naturally athletic populations?
Can you draw the height-time chart as this complicated vessel fills
Explore the relationship between resistance and temperature
Can you deduce which Olympic athletics events are represented by the graphs?
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. . . .
These Olympic quantities have been jumbled up! Can you put them back together again?
When a habitat changes, what happens to the food chain?
Can you work out which drink has the stronger flavour?
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. . . .
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Simple models which help us to investigate how epidemics grow and die out.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Which dilutions can you make using only 10ml pipettes?
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.
Which units would you choose best to fit these situations?