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.) |