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Move 3 matchsticks to create 2 squares. The 2 squares must be equal in size.

A Collection

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The size of the cross shown above is exactly 5 square matchsticks. 12 matchsticks were used to achieve this. Make sure you agree with all of this.

Move 4 matchsticks to reduce the size of the shape to exactly 4 square matchsticks. The number of matchsticks in the new shape must still be 12.

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Add 4 matchsticks to the layout above to create 18 squares. With the exception of 2 matchsticks, all other matchsticks must be flat on the surface. All squares in your solution do not have to be equal in size.

The 18 squares are:

Size 2X2:

ACJG

Size 1X1:

ABED, BCFE, DEHG, EFJH

Size ⅔X⅔:

ELVN, KFPU, MTRH, SOJQ

Size ⅓X⅓:

EKSM, KLTS, LFOT, MSUN, STVU, TOPV, NUQH, UVRQ, VPJR

Size 2X2:

ACJG

Size 1X1:

ABED, BCFE, DEHG, EFJH

Size ⅔X⅔:

ELVN, KFPU, MTRH, SOJQ

Size ⅓X⅓:

EKSM, KLTS, LFOT, MSUN, STVU, TOPV, NUQH, UVRQ, VPJR

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Three shapes are cut from a piece of cardboard and placed as shown above to form a combined shape. If the matchsticks on the inside of the shape are ignored, you will note that the combined shape is not symmetrical along any vertical axis.

However, a combined shape with vertical symmetry (again ignoring the inside matchsticks) can be created by flipping and/or rotating one of the shapes. Show how you would do this by moving only 3 matchsticks to create a combined shape that is vertically symmetrical.

The piece of cardboard in the middle is flipped vertically and then rotated 90 degrees clockwise.

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Move 5 matchsticks to create 4 squares. In your solution there must be:

- at least 2 squares of size 3X3

- at least 1 square of size 2X2

- at least 1 square of size 1X1

- The 2 squares of size 3X3 are AIKF and BJLG

- The 2X2 square is CEHF

- The 1X1 square is ABDC

Below is the suggested way of constructing the solution above:

1. Place 3x3 squares overlapping, since only 5 can be moved, it has to come from the internals of the 3x3 squares.

2. Leave a 2x2 square within the original.

3. In order for the 3x3 to overlap, there has to be a line cutting the 2x2 into 1/2s.

There are also other variations of this solution.

- The 2X2 square is CEHF

- The 1X1 square is ABDC

Below is the suggested way of constructing the solution above:

1. Place 3x3 squares overlapping, since only 5 can be moved, it has to come from the internals of the 3x3 squares.

2. Leave a 2x2 square within the original.

3. In order for the 3x3 to overlap, there has to be a line cutting the 2x2 into 1/2s.

There are also other variations of this solution.

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You have printed 2 digital numbers on 2 different sheets of transparency film. When sheet 1 is placed exactly on top of sheet 2 (or vice versa) it shows the digital number 98 as illustrated above. You then discover that the number on sheet 1 plus the number on sheet 2 is also equal to 98. What are the 2 digital numbers printed on the 2 sheets?

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An amazing little stunt with matchsticks! It is very important to build the structure EXACTLY as shown above and on a flat and hard surface.

Without touching matchstick A, how can you make matchstick A do a somersault (or a flip) in the air?!!

Tap down quick and hard with your finger on the circled area and see what happens. You might not get it right the first time, but just try again!

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