The Quiz 1 Birthdays On my last birthday

The Quiz

1. Birthdays On my last birthday, my friend said to me: “In 15 years’ time, your age will be the square of your age 15 years ago!” How old I am? A. 10 B. 19 C. 21 D. 23 E. None of the above

2. Ants Twenty ants are dropped on a metre ruler. Each ant is travelling either to the left or the right with constant speed 1 metre per minute. When two ants meet they instantaneously reverse direction and maintain their speed. When any ant reaches an end of the ruler it falls off. What is the least number of seconds after the ants are dropped when the ruler will definitely have no ants on it? A. 30 B. 60 C. 6000 D. Impossible to tell

3. Island A circular island is empty apart from 6 trees. A tree is hidden only when it lies directly behind another tree from the perspective of the observer. What is the highest possible number of people that can stand on the island, with each person seeing a different number of trees? A. 3 B. 4 C. 5 D. 6 You may arrange the trees however you like.

4. Round table Arthur, Merlin, Lancelot, Guinevere and Barry go to their favourite restaurant to share some mead and grilled meats. They sit down at a round table for five, and as soon as they do, Lancelot notes, "We sat down around the table in age order! What are the odds of that? ” A. 1/12 B. 1/24 C. 1/6 D. 1/120 E. None of the above