1 out of 3
Why does this fold create an angle of sixty degrees?
2 out of 3
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
1 out of 3
A game for 2 or more people, based on the traditional card game Rummy.
2 out of 3
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
1 out of 3
Can you prove that the opposite angles of cyclic quadrilaterals add to $180^\circ$?
3 out of 3
Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
1 out of 3
Find the values of $\sqrt{2 + \sqrt 3}- \sqrt{2 - \sqrt3}$ and of $\root 3 \of {2 + \sqrt 5}+ \root 3 \of {2 - \sqrt 5}$
2 out of 3
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
2 out of 3
Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?
2 out of 3
Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
