## Problems

##### Age 7 to 11 Challenge Level:

Investigate the positions of points which have particular x and y
coordinates. What do you notice?

##### Age 7 to 11 Challenge Level:

Write down what you can see at the coordinates of the treasure
island map. The words can be used in a special way to find the
buried treasure. Can you work out where it is?

##### Age 7 to 11 Challenge Level:

Find the missing coordinates which will form these eight
quadrilaterals. These coordinates themselves will then form a shape
with rotational and line symmetry.

##### Age 7 to 11 Challenge Level:

Freddie Frog visits as many of the leaves as he can on the way to
see Sammy Snail but only visits each lily leaf once. Which is the
best way for him to go?

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outline of Little Ming playing the board game?

##### Age 7 to 11 Challenge Level:

What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?

##### Age 5 to 14 Challenge Level:

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

##### Age 7 to 11 Challenge Level:

I was in my car when I noticed a line of four cars on the lane next
to me with number plates starting and ending with J, K, L and M.
What order were they in?

##### Age 7 to 11 Challenge Level:

What are the coordinates of this shape after it has been
transformed in the ways described? Compare these with the original
coordinates. What do you notice about the numbers?

##### Age 7 to 11 Challenge Level:

You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?

##### Age 11 to 14 Challenge Level:

Draw some spirals with the LOGO programming language.

##### Age 11 to 14 Challenge Level:

Is it possible to use all 28 dominoes arranging them in squares of
four? What patterns can you see in the solution(s)?

##### Age 11 to 14 Challenge Level:

6! = 6 x 5 x 4 x 3 x 2 x 1. The highest power of 2 that divides
exactly into 6! is 4 since (6!) / (2^4 ) = 45. What is the highest
power of two that divides exactly into 100!?

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