I'm looking to make a database of some math problems. I'm a secondary teacher and LOVE interesting problems to add to my bank. I'm looking for all kinds of problems, not just Algebra. Anything 6-12.
Here are some of my favorites:
Wine/water mixing problem - Wikipedia, the free encyclopedia
The String Around the Earth Problem .........
Connected Mathematics 2
Basically, problems that have interesting/surprising results, multiple ways to solve them, etc.
What are some of your favorites?
Find two sets, P and Q, such that:
1) P and Q are both subset of the rectangle in [itex]R^2[/itex] with vertices (-1, -1), (1, -1), (1, 1),and (-1, 1).
2) P contains the diagonally opposite points (-1, -1) and (1, 1) and Q contains the diagonally opposite points (-1, 1) and (1, -1).
3) P and Q are both connected sets.
4) P and Q are disjoint.
1) A kid and his father are 11 years apart, the kid is 9 years old the father is 36, in how many years will the age of the father be equal to 3 times the age of the kid. ( I'm not sure about these values but you get the logic that's to be used here )
2) The perimeter of a rectangle is 200 meters long, its width is 4 times smaller than its length. Give the value of width/length. Find from the reasoning you may have used ( without resorting to an equation ) Thales' Theorem.
3 ) On day 1 a farmer sells 15 chickens and 20 potatoes for 500 $, on day 2 he sells 5 chickens and 40 potatoes for 650 $. Prices of chickens and potatoes ?
4) 3 persons just got paid. The sum of the income of the 1st and 2nd is 34 $, the sum of the 2nd and 3rd is 22 $, the sum of the 1st and 3rd is 28 $. How much did each received ?
5) 3 persons share a sum of 5000 $, the first takes 1/3 plus 300 $, the second takes 3/5 plus 700 $, the third one gets the remaining part.Value ?