| 16. | A group of people were gathered together in one room and it was possible to count them using the following descriptions - | |
| 1 grandmother | 1 brother | |
| 1 grandfather | 2 sisters | |
| 2 fathers | 2 sons | |
| 2 mothers | 2 daughters | |
| 4 children | 1 father-in-law | |
| 3 grandchildren | 1 mother-in-law | |
| 1 daughter-in-law | ||
| This gives a total of 23 people. But there were a lot less than that. What is the LEAST number of people that could have been present in the room? | ||
| 17. | Use the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and use each digit once and once only. Divide the ten digits into two groups of five, and then arrange the digits in each group of five to make a multiplication sum. It could be done like this 0, 1, 5, 6, 9 used to make 106 x 59 (which is 6254) 2, 3, 4, 7, 8 used to make 437 x 82 (which is 35834) and the two multiplication sums have different answers. Find a way that makes the answers to both multiplication sums the same. |
| 18. |  |
| The drawing (which is NOT to scale) shows the shape of a 1-hectare field. (It is a trapezium) The wider end is 60 metres long, and the narrower end is 40 metres long. The dotted line is a fence which divides the field into two parts which are equal in area. How far is the fence from the wide end? (To the nearest metre will do.) A hectare is 10000 square metres. |
The winner of Competition #5 was Helen Galloway of Manchester
The answers were:
| 13. | scale, divided, subtraction sector, addition, vertical measure, mathematics, multiplication |
| 14. | 40 |
| 15. | 8 and 28 (1 by 8 and 4 by 7) |