|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|
|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.
|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
|15.||8 and 28 (1 by 8 and 4 by 7)|