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