|13.||An anagram is a word or phrase whose letters can be re-arranged to make some other word or phrase.|
For example: claim hat mate is an anagram of: mathematical.
Here are 9 anagrams to be solved - each makes a single word which is used in mathematics - and ALL 9 must be done.
|laces||Vi died||crust in boat||coster||Dina do it||cat liver||use ream||Sam, cheat Tim||implicit in a lot|
|14.||Starting in any cell of the grid on the right, moving up and down or across, but NOT diagonally, it is possible to make a tour which visits all 9 cells of the grid.|
A tour may start in any one of the 9 cells.
Given that no cell may be visited more than once (so the tour cannot cross over itself) how many different tours are possible?
|15.||The drawing shows 2 oblongs with ABCD resting on top of AECF.|
Though the oblongs are of different sizes, corners A and C are coincident.
All edges are an exact number of centimetres in length.
What are the areas of the two smallest oblongs for which this is possible?
The winner of Competition #4 was Henry Logan of Bromley
The answers were:
|10.||Many possible answers|
|11.||196 different squares|
|12.||4.51% (to 3 sig. figs.)|