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A problem about genetics and the transmission of disease.
Estimate areas using random grids
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Explore the shape of a square after it is transformed by the action of a matrix.
Explore the properties of matrix transformations with these 10 stimulating questions.
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Simple models which help us to investigate how epidemics grow and die out.
Explore how matrices can fix vectors and vector directions.
Can you match these equations to these graphs?
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
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.
How do you choose your planting levels to minimise the total loss at harvest time?
Use your skill and judgement to match the sets of random data.
If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.
In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
This problem explores the biology behind Rudolph's glowing red nose.
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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. . . .
Can you make matrices which will fix one lucky vector and crush another to zero?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Invent scenarios which would give rise to these probability density functions.
Use vectors and matrices to explore the symmetries of crystals.
Explore the meaning of the scalar and vector cross products and see how the two are related.
Is it really greener to go on the bus, or to buy local?
Go on a vector walk and determine which points on the walk are closest to the origin.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Get some practice using big and small numbers in chemistry.
Looking at small values of functions. Motivating the existence of the Taylor expansion.
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.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Which dilutions can you make using only 10ml pipettes?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the properties of perspective drawing.
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?
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Can you work out what this procedure is doing?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
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?