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?
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
Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
2 out of 3
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
2 out of 3
Using only the red and white rods, how many different ways are there to make up the other colours of rod?
3 out of 3
Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.
1 out of 3
In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?
