How efficiently can you pack together disks?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
Can you draw the height-time chart as this complicated vessel fills
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
How much energy has gone into warming the planet?
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.
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. . . .
Analyse these beautiful biological images and attempt to rank them in size order.
This problem explores the biology behind Rudolph's glowing red nose.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Explore the properties of perspective drawing.
Examine these estimates. Do they sound about right?
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.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
A problem about genetics and the transmission of disease.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
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.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Simple models which help us to investigate how epidemics grow and die out.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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?
Is it really greener to go on the bus, or to buy local?
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?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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 deduce which Olympic athletics events are represented by the graphs?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
How would you go about estimating populations of dolphins?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Which countries have the most naturally athletic populations?
Explore the properties of isometric drawings.
When a habitat changes, what happens to the food chain?
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. . . .
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Work out the numerical values for these physical quantities.
When you change the units, do the numbers get bigger or smaller?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Which dilutions can you make using only 10ml pipettes?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.