Page No: 20 Dulwich Despatch
It Makes You Think ...
Brain Busters
1.You set up a tent and go for a walk, you walk 1 mile south and then 1 miles east, and then1 mile north at which point you stop as you see a bear next to your tent. What colour is the bear? 2.You look in the mirror which shows you from the waist upwards. You then walk backwards 5 metres: Can you see more of yourself, less of yourself, all of yourself or the same amount of yourself? Guess before trying for yourself in the mirror. 3.A woman is 21 years older than her son, in six years’ time she will be 5 times as old as her son. How old is the son? 4. You want to time 30 minutes, You have no way of timing it, except, that you have been given some matches and a piece of string that takes 1 hour to burn from one end to the other. (But no watch and no other equipment.) The string is an uneven thickness and so MAY only take five minutes to burn one half and 55 to burn the other half, this means you cannot fold the string and wait for it to burn to the middle point. How can you time 30 minutes? 5.A rugby team has won a big tournament and they are to run back on to the pitch (which is 100 metres in length) after the game to do a victory lap. The groundsman decides it would be good if the team could run under bunting which goes from one end of the pitch to the other end and is propped up in the middle. If the grounds man buys 101 metres will the team be able to fit under? Options: A) Not at all. B) Crawl under. C) Bit of a squeeze. D) Some will have to duck. E) Easily. 6.Two trains, both travelling at 50 miles per hour are heading towards each other and start 100 miles apart. A bird starts at the front of one train and flies toward the other train, the bird can fly at 60 miles per hour, when the bird reaches the second train it turns around and flies back towards the first train. How far will the bird fly before the two trains crash and the bird is squished between the two trains? 7.A king is scared of an invasion from a neighbouring country and so he wants more warriors and so needs more men. He creates a rule: If a woman has a child and it is a girl, she can have no more children, but if she has a boy she must have another child. And depending on if the second child is a boy or a girl she must have another child or no more children. After 10 years of the censors 1000 children have been born, roughly what is the ratio of boys to girls? 8.100 ants have been placed on a metre stick with no way of passing each other. When an ant reaches the end it will fall off. Each ant can walk a metre in one minute. If an ant meets another ant it will turn around, and walk the other way. The ants never stop walking. They start facing random directions. What is the maximum time it takes for all the ants to fall off? Think of any 3 digit number (that is not a palindrome) e.g. 564 and then repeat it as shown: 564564. Your number will be divisible by 11 and also 7, and also 13. If you divide it by 11 and 7 and 13 in any order you will get your original 3 digit number. As long as your number and its reverse are under 500: If you take your 3 digit number and add it to its reverse, e.g. 324 + 423 = 747, it will always equal a palindrome. Did you know? 100 metres Sounds hard but they are actually super simple:
Some information taken from How many socks make a pair? By Rob Eastaway
ANSWERS ON PAGE 29
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