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The size of the layout shown above is exactly 4 square matchsticks. Make sure to understand that A + B is exactly 1 square matchstick.

MOVE 4 matchsticks to reduce the size of the shape to exactly 3 square matchsticks.

A Collection

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The size of the layout shown above is exactly 4 square matchsticks. Make sure to understand that A + B is exactly 1 square matchstick.

MOVE 4 matchsticks to reduce the size of the shape to exactly 3 square matchsticks.

Easy | Medium | Hard | Extreme |

There are 6 equal triangles in the layout above. MOVE 2 matchsticks to form 5 equal triangles.

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TAKE AWAY 6 matchsticks so that there are no triangles left.

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ADD 3 matchsticks to make the equation true.

The following rules apply:

- No number is greater than 9

- Negative numbers are not allowed

- You may not change the equal (=) sign

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The above square is divided into 3 parts in the ratio 2:3:4. Change this ratio to 2:2:5 by moving only 1 matchstick.

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Three matchsticks form 2 right angles as shown in Figure A above. By moving only 1 matchstick you can create 3 right angles as shown in Figure B. However, this is only one solution and there are 7 more where 3 right angles can be created. Can you find them all?

The rules are:

- Start each time with the layout as in Figure A.

- Move only 1 matchstick.

- You may not move the horizontal matchstick in Figure A.

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Move only 2 matchsticks to create 6 squares. The squares are allowed to differ in size.

However, squares must be linked and each matchstick must form the side of at least one square.

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A farmer lives on the area marked "A" on his farm. He decides to divide the rest of the farm between his 4 sons with the SIZE and SHAPE of each of the 4 farms exactly the same.

Add as many matchsticks as you want to the layout to show how he has done this.

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The length of a matchstick is 1 unit, so in the layout above 12 matchsticks were used to create an area "W" of 3 square units. (see puzzle 121 and also how area W was calculated below)

There is another way to create 3 square units, but you may NOT MOVE the matchsticks which from line AC. Can you find it?

Take note of the calculations below as you might need some of the information in your solution.

The area W was calculated as:

= Total area ABC - area X - area Y - area Z

= 1/2(3 X 4) - 1 - 1 - 1

= 3 square units

Angle 𝛳 was calculated as:

= arcsine(AB/AC)

= arcsine(3/5)

= 36.869898 degrees

We must now proof that the area of the parallelogram is 3 square units.

To calculate the height:

sin𝛳 = height/1

height = sin(36.869898)

height = 0.6 unit

The area of the parallelogram is:

= base X height

= 5 X 0.6

= 3 square units

To calculate the height:

sin𝛳 = height/1

height = sin(36.869898)

height = 0.6 unit

The area of the parallelogram is:

= base X height

= 5 X 0.6

= 3 square units

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The length of a matchstick is 1 unit. Use 12 matchsticks to create an area of 3 square units. To make your life easier, 8 of the 12 matches have already been placed in the correct positions.

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There are 5 squares in the layout above, 4 small and 1 big.

Move 2 matchsticks to create 3 squares of 3 different sizes.

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There are three islands in the ocean and your challenge is to construct a bridge to connect them. Unfortunately, as can be seen with matchsticks A, B and C, the length of a matchstick is just too short to connect the islands directly.

How would you construct an interlocking bridge, that can actually carry some weight in real life, by only using matchsticks A, B and C? Also, the three matchsticks are not allowed to touch the ocean.

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MOVE 2 matchsticks in the layout above to divide it into 2 parts equal in shape and size.

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A rugby player missed a kick to goal by kicking the ball to the right of the posts and also lower than the crossbar.

MOVE only 2 matchsticks to make the ball go through the posts and over the crossbar. You may not move the ball.

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There are no squares in the layout above. Move 4 matchsticks to change the cross into 4 EQUAL squares.

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You would need math skills to solve this one.

The equation 7/9 = 3 is not true. Move only 2 matchsticks to make it true.

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Shown above is an eight sided convex polygon built from 2 squares and 6 triangles. 17 matchsticks were used to achieve this. The outside angles are all greater than 180 degrees as illustrated with angle "a" above.

Create your own convex polygon. The following rules apply:

1. Polygon must have 7 sides

2. 12 matchsticks to be used

3. All outside angles to be greater than 180 degrees

4. There must be 3 equal sized triangles

5. There must be 2 equal sized squares

6. All matchsticks must be flat on the surface.

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Move 4 matchsticks to convert the cup and saucer into 3 DIFFERENT in size triangles.

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In the figure above are 4 equal triangles. Move 4 matchsticks to create 2 equal triangles.

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MOVE 3 matchsticks to create only 3 squares. The 3 squares must have 3 DIFFERENT sizes.

Note that all matchsticks form part of a square i.e. there are no redundant matchsticks. There are also other solutions.

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There are 4 squares in the layout above. A broken matchstick is exactly half the length of a full length matchstick. Also, matchstick A is placed exactly in the middle of matchstick B.

Move 3 matchsticks to create 8 squares. All matchsticks don't have to be flat on the surface and square sizes may differ.

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Reduce the number of squares from 3 to 2 by moving 3 matchsticks. Squares may differ in size.

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Move 4 matchsticks to create 5 triangles. The triangles may differ in size.

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In the layout above is a sand timer consisting of two equilateral triangles. Move 4 matchsticks to turn the sand timer upside down.

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