Easy | Medium | Hard | Extreme |

Place 6 matchsticks inside a 3X3 square as shown above. The square is divided into 3 parts in the ratio 2:3:4

Move only 1 matchstick on the inside of the square to change the ratio to 1:3:5

A Collection

Easy | Medium | Hard | Extreme |

Shown in the puzzle above are one- and two-way roads. In total, how many different routes are there from point A to point J? You may only move in the direction of the matchstick heads and only travel on the same road once during the route.

There are 12 routes in total:

1. ABCFJ

2. ABEFJ

3. ABEHJ

4. ADEBCFJ

5. ADEFJ

6. ADEHJ

7. ADGHEBCFJ

8. ADGHEFJ

9. ADGHJ

10. ABEDGHJ

11. ABCFEDGHJ

12. ABCFEHJ

Easy | Medium | Hard | Extreme |

5 matchsticks, placed horizontally and vertically, divide the square into 2 equal parts as shown above. The 2 parts are equal in shape and size. Another obvious solution would be 1 vertical and 4 horizontal matchsticks based on the same principle.

But there is another clever solution! In what other way can you place the 5 matchsticks inside the square to divide it exactly into 2 parts equal in shape and size?

AC is exactly the length of 3 matchsticks and BC exactly 4 matchsticks. Applying the Pythagoras's theorem you can proof that AB is exactly the length of 5 matchsticks:

(AB)² = (BC)² + (AC)²

(AB)² = 16 + 9

AB = √25

AB = 5

(AB)² = (BC)² + (AC)²

(AB)² = 16 + 9

AB = √25

AB = 5

Easy | Medium | Hard | Extreme |

This puzzle is similar to numbers 492 and 502.

14 matchsticks are used to form a pathway as shown above. The challenge is to start at a point, move in the direction of the matchstick heads and visit each of the 7 matchsticks only once.

A solution is not possible in the existing figure above, but by changing the direction of only 1 matchstick it can be achieved. Which matchstick would you change and can you find the pathway?

The direction of matchstick 3 is changed.

One pathway is to start with matchstick 1 and end with matchstick 14.

One pathway is to start with matchstick 1 and end with matchstick 14.

Easy | Medium | Hard | Extreme |

Rectangle A is one third of the size of rectangle B with 6 and 14 matchsticks used in A and B respectively.

Transfer 1 matchstick from B to A which means you now have 7 matchsticks in A and 13 matchsticks in B. Create 2 new shapes, not necessarily rectangles, with shape A still one third of the size of shape B.

Easy | Medium | Hard | Extreme |

This puzzle is similar to but different from number 479.

If the length of 1 matchstick is 1 unit, the area of the shape above is 12 square units. Move 8 matchsticks to reduce the area to 8 square units.

Easy | Medium | Hard | Extreme |

You are playing REVERSED Tic-Tac-Toe. This means the LOSER is the first player with 3 in a row (horizontal, vertical or diagonal).

The next move is yours. Where would you place the broken matchstick with head to guarantee yourself a win?

You can place the broken matchstick with head on any of the open places as long as it does not form a row (horizontal, vertical or diagonal).

Below is one example:

Place your broken matchstick in the middle top row as shown above. The other player can now only play position 3. (1 or 2 would make him/her a loser). Thereafter your move could be 1 or 2.

Below is one example:

Place your broken matchstick in the middle top row as shown above. The other player can now only play position 3. (1 or 2 would make him/her a loser). Thereafter your move could be 1 or 2.

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