Starting with two basic vector steps, which destinations can you reach on a vector walk?
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.
Various solids are lowered into a beaker of water. How does the water level rise in each case?
Explore the properties of perspective drawing.
How would you go about estimating populations of dolphins?
Can you draw the height-time chart as this complicated vessel fills with water?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Formulate and investigate a simple mathematical model for the design of a table mat.
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?
Can you work out which processes are represented by the graphs?
Get some practice using big and small numbers in chemistry.
A problem about genetics and the transmission of disease.
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?
How much energy has gone into warming the planet?
Explore the relationship between resistance and temperature
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Are these estimates of physical quantities accurate?
Analyse these beautiful biological images and attempt to rank them in size order.
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.
This problem explores the biology behind Rudolph's glowing red nose.
How efficiently can you pack together disks?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
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?
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.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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.
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. . . .
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?
Simple models which help us to investigate how epidemics grow and die out.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Have you ever wondered what it would be like to race against Usain Bolt?
When you change the units, do the numbers get bigger or smaller?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Which units would you choose best to fit these situations?
Does weight confer an advantage to shot putters?
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Work out the numerical values for these physical quantities.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Which dilutions can you make using only 10ml pipettes?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the properties of isometric drawings.
When a habitat changes, what happens to the food chain?