M1.Where did the extra square above come from?
M2. How many times can you subtract the number 2 from 20?
M3. I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?
M4. A certain number has three digits. The sum of the three digits equals 36 times this number. Seven times the left digit plus 9 is equal to 5 times the sum of the two other digits. 8 times the second digit minus 9 is equal to the sum of the first and third. What is the number?
M5. Which triangle has a bigger area: a) A triangle with sides measuring 300, 400, and 500 or b) A triangle with sides measuring 300, 400, and 700?
M6. Find the four digit number in which the first digit is one fourth of the last digit, the second digit is 6 times the first digit, and the third digit is the second digit plus 3?
M7. What’s wrong with this proof:
x = y
x^2 = xy
x^2 – y^2 = xy – y^2
(x – y)(x + y) = y(x – y)
x + y = y
x + x = x
2x = x
2(1) = 1
2 = 1?
M8. Five shipwrecked men find themselves on a deserted island with a monkey. They collect all the coconuts they can find before the sun sets and agree to share them equally the following morning. The 1st man, not trusting the others, sneaks out in the moonlight and takes his share but there is 1 coconut left over so he gives it to the monkey before silently returning to sleep. The 2nd man does the same and divides the number of coconuts he finds by five and takes his share. But again there is 1 left over so he too gives it to the monkey. The 3rd and 4th men follow shortly after in quick succession and do the same thing each time giving the extra coconut to the monkey. The 5th man sleeps deeply and awakes and goes to the coconut pile. What is the least number of coconuts he could find?
M9. A sphere has three, a circle has two, and a point has zero what?
M10. In a lottery a gambler has to select 6 numbers between 1 and 49. Assuming that he only selects prime numbers, how many tickest would he have to purchase in order to cover every combination?
M11. You have 12 bricks. One of the bricks is either lighter or heavier than the other 11, but you dont know which one it is. all you have is a balance scale, and you must find the odd brick out in 3 or less tries, and be able to tell if its lighter or heavier. How?
M12. The number 7 fell out of the following sequence: 8 5 4 9 1 6 10 3 2. Where does it belong?
M13.
More to come…
