| Easy | Medium | Hard | Extreme |
Shown here are 2 squares equal in size. One matchstick forms a "shared" side of the 2 squares, hence only 7 sticks are used. Can you add 17 matchsticks to form 7 equal squares by using this principle of "sharing" sticks?
(Try to figure out beforehand how the sticks should be placed as there is some maths involved)
(Try to figure out beforehand how the sticks should be placed as there is some maths involved)
Above is only one solution, there are also other solutions.
(1) There are 24 sticks in total. (17 + 7 = 24)
(2) 7 squares with no "shared" sides would have required 28 sticks. (7 X 4 = 28)
(3) So there must be 4 squares with "shared" sides. (28 - 24 = 4)
(1) There are 24 sticks in total. (17 + 7 = 24)
(2) 7 squares with no "shared" sides would have required 28 sticks. (7 X 4 = 28)
(3) So there must be 4 squares with "shared" sides. (28 - 24 = 4)
No comments:
Post a Comment