1 out of 3
A practical experiment which uses tree diagrams to help students understand the nature of questions in conditional probability.
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What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
1 out of 3
Go on a vector walk and determine which points on the walk are closest to the origin.
1 out of 3
Can you use numerical methods to solve this equation to 1 decimal place?
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A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
2 out of 3
In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?
3 out of 3
Prove that for every right angled triangle which has sides with integer lengths: (1) the area of the triangle is even and (2) the length of one of the sides is divisible by 5.
1 out of 3
Can you prove that twice the sum of two squares always gives the sum of two squares?
3 out of 3
Investigate the mathematics behind blood buffers and derive the form of a titration curve.
