2 out of 3
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
2 out of 3
Prove that sqrt2, sqrt3 and sqrt5 cannot be terms of ANY arithmetic progression.
1 out of 3
Which units would you choose best to fit these situations?
1 out of 3
This shape comprises four semi-circles. What is the relationship between the area of the shaded region and the area of the circle on AB as diameter?
2 out of 3
If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle?
1 out of 3
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
1 out of 3
A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
1 out of 3
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
3 out of 3
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
1 out of 3
If you had 36 cubes, what different cuboids could you make?
