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The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?
Have you ever wondered what it would be like to race against Usain Bolt?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Where will the spaceman go when he falls through these strange planetary systems?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
This problem challenges you to find cubic equations which satisfy different conditions.
Was it possible that this dangerous driving penalty was issued in error?
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Get into the exponential distribution through an exploration of its pdf.
What will happen when you switch on these circular circuits?
Match the descriptions of physical processes to these differential equations.
Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?
Look at the calculus behind the simple act of a car going over a step.
In an extension to the Stonehenge problem, consider the mechanical possibilities for an arrangement of frictional rollers.
Go on a vector walk and determine which points on the walk are closest to the origin.
From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?
Do each of these scenarios allow you fully to deduce the required facts about the reactants?
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Explore the lattice and vector structure of this crystal.
Explore the Lorentz force law for charges moving in different ways.
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Can you hit the target functions using a set of input functions and a little calculus and algebra?
See how differential equations might be used to make a realistic model of a system containing predators and their prey.
Work out the numerical values for these physical quantities.
Which line graph, equations and physical processes go together?
Why MUST these statistical statements probably be at least a little bit wrong?
Which curve is which, and how would you plan a route to pass between them?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Can you match the charts of these functions to the charts of their integrals?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
How efficiently can various flat shapes be fitted together?
Which units would you choose best to fit these situations?
How many generations would link an evolutionist to a very distant ancestor?
What biological growth processes can you fit to these graphs?
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Use your skill and judgement to match the sets of random data.
Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.