1 out of 3
Which of these games would you play to give yourself the best possible chance of winning a prize?
1 out of 3
Can you work out the means of these distributions using numerical methods?
1 out of 3
It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?
1 out of 3
A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?
2 out of 3
Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?
1 out of 3
Can you use Proof by Induction to establish what will happen when you add more and more odd numbers?
3 out of 3
What is the largest cuboid you can wrap in an A3 sheet of paper?
3 out of 3
What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
1 out of 3
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
2 out of 3
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
