| 4. | A Magic Square is set of numbers arranged in the form of a square so that the total of every row, column and diagonal is the same.
On the right is a Magic Square with 3 rows, 3 columns, and 2 diagonals, so that there are 8 totals to be found, each of which adds up to 15. |
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| An Anti-magic Square has the same arrangement but the total of every row, column and diagonal is different. Use the same numbers (1, 2, 3, 4, 5, 6, 7, 8 and 9; once and only once) as in the example above to make an Anti-magic Square with the added restriction that none of the 8 different totals must be less than 10 or greater than 18. | |||||||||||
| 5. | An alphametic is a sum in which all of the digits have been replaced by letters (each letter always representing the same digit, and each different digit always represented by the same letter) and with the resulting arrangement forming real words. After solving this alphametic |
| 6. | Carter fenced in a rectangular plot of land and then divided it into two halves by putting another fence along the main diagonal. This diagonal fence measured 41 metres exactly. Martindale also fenced in a rectangular plot of land in a similar way (including the diagonal fence) but his rectangle was one-third greater in area than Carter's plot and used less fencing. In both plots all the the dimensions (lengths, widths and diagonals) were a whole number of metres. How much more fencing did Carter use than Martindale? |
The winner of Competition #1 was Katie Ainsworth of Year 9, Pleckgate High School, Lancashire.
The answers were:
1. Mr Kitto was 38.
2. a) 100 metres;
b) Acton;
c) Fred;
d) 100 metres;
e) Javelin.
3. 65
There were a good number of entries - whole classfuls in some cases! Questions 1 and 2 were answered correctly in most cases, but Question 3 proved much harder and only about one-eighth of the entrants got that one right. Well done all of you.