so.. was showing yw e olympiad question tt i was talking abt in e previous post.. following which he gave me some IQ questions, together with some other lame questions.. thought i might just wanna share it with u all..

1st up, e olympiad question from e previous post:



Question: How many squares are there?
This question was actually a question from e primary school mathematical olympiad 2000..

Problem 2:



Question: With one straight line, divide the figure above into 2 portions of equal area.
This question was adapted from (i forgot wat was e original figure) e same olympiad 2000 and was e last question in part A of e competition..

Below are the questions posed by yw:

Problem 3: There is a wonder tree which inceases in height by twice per day ie. it may be 1m tall on day 1, 2m tall on day 2 etc. On day 100, it would have reached its maximum height.
Question: On which day was the tree half of it's maximum height?

Problem 4: There is this boat at sea and it has a rope ladder that dangles from the boat into the sea. The distance between the rungs on the ladder is 1m. At low tide, 1 of the rung is submerged under water. At high tide, the water level surges by 2 meters.
Question: How many rungs are submerged under water during high tide?

Problem 5: There are 8 balls, of which 1 ball is of a different weight from the rest.
Question: You are provided with a weighing scale (similar to that of the astrological Libra sign or e one carried by Lady Justice). How can you identify the odd weighted ball with only 2 weighings?

Problem 6: There are 10 packets of 10 balls each. 9 of the packets are normal, containing balls that weigh 10g each. The remaining odd weighted packet contain balls that all weigh 11g each.
Question: You are provided with a bathroom scale (one that shows u, electonically, e weight). How can you identify the odd packet with only 1 weighing? You are allowed to tear open the packets.

Lame problem 7: You were tasked to investigate the deaths of Ah Ming and Ah Hua, whom you found lying in a pool of water, with broken shards of glass littered around. Upon reaching the crime scene, you faintly hear a cat meow.
Question: How did Ah Ming and Ah Hua die?

Additional problem 8 (by me): Solve 1 + 1/[1 + 1/[1 + 1/[1 + 1/[1 + ...]]]]
this is a favourite question of mine.. and yup, it's solvable.. u might actually want to write it down to see e question more properly.. this linear way of expressing e question may not be tt clear..

Additional problem 9:



Question: Similar to problem 2. With one straight line, divide the figure above into 2 portions of equal area. Total no. of squares: 18
Just realised tt question 2 was not well constructed as there are 2 solutions for it.. hopefully i've constucted problem 9 carefully enough such tt there is only 1 solution..