Solution

24071

First name
Sophie Arthur and Leah Edwards
School
Little Heath School
Country
Age
14

For the second question, we found that the key number was 9.
The first and the second card had to add to the key number from the first room, which was 13. We put 8 and 5.
The second and third cards had to add to 9, so we put 4, as 4+5=9.
The third and fourth cards had to add up to 11, so we put 7 as 4+7=11.
The last two cards had to add up to 16, so we put nine as 7+9=16.
The fitth card was the second key, so the second key was 9.

For the third question, we got 15 as our key number.
We got this by finding the distance of the rectange, 9 cm.
If the circles were not overlapping, the distance would be 5, as this is half of 10, which is how big the distance would be if they were not, as the height of the circles is 5cm, meaning the length would be too.
However, as there was 2 circles overlapping, the box was only 9 cm long, which is one cm less than 10cm, meaning that you had to take 0.5 cm off of each circle, to add up to 1cm. This would mean the distance between the centre of each circle was 4, which squared is 16, -1 is 15, therefor the key is 15.

8 4 3
1 5
6 2 7
We got this by adding them up, as they all make 15. We then added all four coners of the boxes, which made 24. We then took away 10, giving us 14. Therefore, 14 is the fourth key number.