BRAIN GAMES 2021
SNOWED IN
Nick and his sleigh are stranded in the woods. He is desperate to get back to his cabin in time for Christmas to deliver presents to his children. His usual route would take him in a straight line directly to his cabin, but a snow drift is blocking his way. Instead he must take a lengthy diversion. Nick sledges three kilometres east to the frozen lake, before turning his sleigh 135° clockwise and travelling 1,300 metres to the reindeer stable. According to his sat-nav he is now 500 metres further south than the frozen lake. Nick then rotates his sleigh 45° clockwise, and travels 1,275 metres to his cabin. How much further has Nick had to travel due to the diversion?
![f072-01](https://article-imgs.scribdassets.com/5gtjr44i809a367d/images/fileM5NQOYHQ.jpg)
![f072-02](https://article-imgs.scribdassets.com/5gtjr44i809a367d/images/fileXMVD3Y23.jpg)
COLD AS ICE
Samuel is captaining an expedition to Antarctica on a ship. A mist has descended and the temperature has dropped to -15˚C, making the journey treacherous. Samuel is aware of an iceberg up ahead, but he is not sure how far it is from the ship. He stops the ship and sounds his foghorn. He hears the echo of the foghorn 5.2 seconds later. Samuel uses his knowledge about the speed of sound to determine the distance from the iceberg. He knows that the speed of sound at 0˚C is 331
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