30 June 2011

66. Move 3 Sticks creating 5 Squares

Easy Medium Hard Extreme


Move 3 sticks creating 5 squares. All squares must be flat on the surface and do not have to be equal in size.

29 June 2011

65. 3 Squares using 8 Sticks

Easy Medium Hard Extreme


8 sticks are used to construct 2 big squares and 1 small square as shown. Move 2 sticks to show another way of constructing 3 squares, but now 2 small and 1 big square. All sticks must be flat on the surface.

28 June 2011

64. Roman numeral: Tongue in the cheek

Easy Medium Hard Extreme


How can you make this Roman equation true by not moving any sticks?

Show Answer

Turn the puzzle around!

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27 June 2011

63. House fronting West

Easy Medium Hard Extreme


This house is fronting West. Move only 1 stick to make it front East.

26 June 2011

62. Farmer and Neighboring Sons

Easy Medium Hard Extreme


A farmer wants to sub-divide his farm between his 4 sons and at the same time retain his own piece of land in the middle for himself. His farm should be equal in size, but different in shape to those of the sons. The 4 farms of his sons should be equal in size and shape. He also wants his farm in the middle of the big farm to have them all 4 as neighbors!

How would you achieve this by adding 16 sticks?

25 June 2011

61. Roman numerals: 12 changed to 7

Easy Medium Hard Extreme


Shown here is the Roman numeral for the figure 12. Remove half the sticks to form 7.

24 June 2011

60. Black and white knights

Easy Medium Hard Extreme


In this puzzle you need to have a knowledge of the movement of knights on a chess board.

The 2 matchsticks with heads are the BLACK knights and the 2 matchsticks without heads are the WHITE knights. How can the black knights swop places with the white knights if they are only allowed to move according to the rules of chess? (Knights move like the letter L in chess)

Show Answer


The central square (position 5) can never be reached by any of the knights. So, start with any knight and move in either direction. All the other knight follow the same direction and in sequence. One solution is:
1 to 6, 3 to 8, 9 to 4, 7 to 2, 8 to 1, 6 to 7, 4 to 3, 2 to 9, 1 to 6, 7 to 2, 3 to 8, 9 to 4, 6 to 7, 2 to 9, 8 to 1 and 4 to 3.

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23 June 2011

59. Reduce 6 Squares formed by Crosses to 3 Squares

Easy Medium Hard Extreme


The crosses in the figure are placed in such a way that it forms 6 squares. Remove 3 crosses so that there are only 3 equal sized squares left. All remaining crosses should form part of squares.

Show Answer

There are also other solutions.

Hide Answer

22 June 2011

58. Reduce 5 Squares to 4

Easy Medium Hard Extreme


This is one of the most classical matchstick puzzles ever. Move only 2 matchsticks to form 4 squares equal in size.

21 June 2011

57. Dividing Figure and put together to form a Rectangle

Easy Medium Hard Extreme


How would you divide the figure in 2 equal sized shapes so that, when you put the 2 shapes together again, it forms a 4X5 rectangle? Use 5 matchsticks to achieve this.

20 June 2011

56. 25 Broken Matchsticks adding up to 15

Easy Medium Hard Extreme


Take 5 matchsticks and break each one into 5 separate pieces. The pieces with heads count 5 points, all the pieces without heads count 1 point.

Put these 25 pieces into the 9 squares so that each vertical, horizontal and diagonal row adds up to 15. You may only use the numbers 1 to 9 and may only use each number once.

Show Answer

There are 8 possible answers. Shown here is one possible solution.

Hide Answer

19 June 2011

55. Square 4X4 : How many Squares?

Easy Medium Hard Extreme


How many squares in the figure? It looks easy, but make sure you count them all!

Show Answer

Hide Answer

A total of 16 squares
1X1 squares : 9
2X2 squares : 5
3X3 squares : 1
4X4 squares : 1

18 June 2011

54. Adding Sticks without forming a Square

Easy Medium Hard Extreme


How many matchsticks can be added to the structure without forming a square?

Show Answer

A total of 8 matchsticks can be added before a square is formed.

You cannot add a matchstick at the bottom between 3 and 5, that would form a 4X4 square!

Hide Answer

17 June 2011

53. Oil and No Oil

Easy Medium Hard Extreme


What is the numerical value of each letter to make the statement true?

Show Answer

Replace letter "O" with number 7,
Replace letter "I" with number 6,
Replace letter "L" with number 1,
Replace letter "N" with number 8.

The sum then becomes:
 761
   87
 761
 +78
-----
1687

Hide Answer

16 June 2011

52. Dividing the Sphinx

Easy Medium Hard Extreme


Add 8 matchsticks to divide the sphinx into 4 parts, all equal in size and shape.

15 June 2011

51. Land, Water and Island

Easy Medium Hard Extreme


You are standing on the LAND and want to get to the ISLAND. 1 matchstick is just too short to build a bridge to the ISLAND over the WATER. In what other way would you construct a bridge using only 2 matchsticks?

14 June 2011

50. Vertical, Horizontal and Diagonal Rows

Easy Medium Hard Extreme


Shown here are 7 matchsticks placed in such a way that it forms a horizontal row (matchsticks 2,4,6), two vertical rows (matchsticks 1,2,3 and 5,6,7) and two diagonal rows (matchsticks 1,4,7 and 3,4,5) Note the 3 matchsticks in a row each time. The vertical and horizontal distance between matchsticks is exactly one matchstick.

The challenge is to add 2 matchsticks so that there are 6 diagonal rows, 3 vertical rows and 1 horizontal row, still with 3 matchsticks in a row.

13 June 2011

49. EAT and ATE and TEA

Easy Medium Hard Extreme


Each letter represents a number. If a 1 is placed before TEA, what should the numerical value of each letter be to make the calculation true?

Show Answer

E = 5
A = 5
T = 0

Hide Answer

12 June 2011

48. 13 Squares Reduced to 8

Easy Medium Hard Extreme


Remove 4 matchsticks leaving 9 squares. All the squares don't have to be equal in size.

11 June 2011

47. 6 Farms to 6 Farms

Easy Medium Hard Extreme


Shown here is a farm, subdivided into 6 smaller camps using 13 matchsticks. If the length of a matchstick is 1 unit, the total area of the farm is 3 square units.

Can you rearrange the matchsticks, using ONLY 12, to form another farm, again with 6 camps, so that the total area of the farm is between 2.5 and 3 square units? All matchsticks must be flat on the surface and no matchsticks may be broken.

Show Answer

Applying Pythagoras:
(0.5)² X (A)² = (r)² (where r=1)
A²= (0.75)²
A = 0.866 units

The total area of the 6 triangles:
= 6 X (1/2 X 1 X 0.866)
= 6 X 0.433
= 2.598 square units

Hide Answer

10 June 2011

46. Reduce 6 Triangles to 3

Easy Medium Hard Extreme


Move 4 matchsticks to reduce the number of triangles from 6 to 3. All triangles don't have to be equal in size.

09 June 2011

45. Turn matchsticks in the circle

Easy Medium Hard Extreme


In the layout above 8 matchstick heads are pointing to the OUTSIDE. The challenge is to turn 7 of the 8 matchsticks so that the heads are pointing to the INSIDE. The following rules apply when turning matchsticks:

1. Start every time on a matchstick with head pointing to the OUTSIDE.
2. Skip 3 matchsticks (INCLUDING the one you started on) and turn the 4th matchstick with head pointing to the INSIDE.
3. You may only move CLOCKWISE.

For example, start on matchstick number 7, count clockwise, 7, 8, 1 and turn stick no 2. Another example would be to start on number 5, count 5, 6, 7 and turn number 8.

Show Answer

One solution is:

8,1,2 turn 3
5,6,7 turn 8
2,3,4 turn 5
7,8,1 turn 2
4,5,6 turn 7
1,2,3 turn 4
6,7,8 turn 1

A general solution would be to turn the matchstick on which you started the previous round. Look at the solutions above. If you turn number 7, you should have started on 7 the previous round.

Hide Answer

08 June 2011

44. Remove 3 leaving no Triangles

Easy Medium Hard Extreme


Shown here are 7 triangles. Confirm that you agree.

Remove 3 matchsticks leaving NO triangles.

07 June 2011

43. Maze 5X5 : Move 4 creating 3 Squares

Easy Medium Hard Extreme


Move 4 matchsticks to create 3 squares. The 3 squares must be different in size.

06 June 2011

42. 6 Squares reduced to 5

Easy Medium Hard Extreme


Shown here are 6 equal sized squares. Move 3 matchsticks to create 5 equal sized squares.

05 June 2011

41. Move 3 creating 9 Squares

Easy Medium Hard Extreme


Shown here are 5 squares equal in size. Move 3 to create 9 squares, not necessarily all equal in size.

Show Answer

There are 2 squares of size 2X2 and 7 squares of size 1X1.

Hide Answer

04 June 2011

40. Digital Mirror Image

Easy Medium Hard Extreme


Shown here is the mirror image of a digital clock. Without using a mirror, what is the real time?

Show Answer

To confirm the answer above you need to put a mirror to the LEFT or RIGHT of the puzzle.

Hide Answer