Can you work out which processes are represented by the graphs?
Can you draw the height-time chart as this complicated vessel fills
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Explore the relationship between resistance and temperature
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
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?
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?
Which countries have the most naturally athletic populations?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Explore the properties of perspective drawing.
Formulate and investigate a simple mathematical model for the design of a table mat.
Analyse these beautiful biological images and attempt to rank them in size order.
How much energy has gone into warming the planet?
This problem explores the biology behind Rudolph's glowing red nose.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Work out the numerical values for these physical quantities.
A problem about genetics and the transmission of disease.
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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 physical contexts.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Get some practice using big and small numbers in chemistry.
How efficiently can you pack together disks?
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.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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.
Simple models which help us to investigate how epidemics grow and die out.
Which dilutions can you make using only 10ml pipettes?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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. . . .
How would you design the tiering of seats in a stadium so that all spectators have a good view?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Can you work out what this procedure is doing?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Can you deduce which Olympic athletics events are represented by the graphs?
These Olympic quantities have been jumbled up! Can you put them back together again?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Examine these estimates. Do they sound about right?
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. . . .
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?