22 July 2016

408. Move 3 to create 2 squares

Easy Medium Hard Extreme


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

Show Answer

The 2 squares are:

ACGE, BDHF

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17 July 2016

407. Rectangle 4X2: Remove 5 to create 4 squares

Easy Medium Hard Extreme


Remove 5 matchsticks to create 4 squares. All the squares don't have to be equal in size.

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There are also other solutions.

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12 July 2016

406. The hidden square

Easy Medium Hard Extreme


Think outside the box! Move 1 only matchstick to form a square.

Show Answer

The arrow shows where the square is formed.

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11 July 2016

405. Move 3 to create 5 squares

Easy Medium Hard Extreme


Move 3 matchsticks to create 5 squares. The 5 squares should be equal in size.

10 July 2016

404. Divide into 2 equal pieces

Easy Medium Hard Extreme


Add 13 matchsticks to the shape above to divide it into 2 identical pieces.

This is not easy, good luck!

Show Answer

Rotate shape B clockwise 90 degrees and then flip it horizontal. You will now see shape A is identical to shape B.

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09 July 2016

403. House from a different angle

Easy Medium Hard Extreme


Move 3 matchsticks to show how this house would look like from a different angle.

08 July 2016

402. Reduce from 5 to 4 square matchsticks

Easy Medium Hard Extreme


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.

Show Answer

The size of A plus the size of B is exactly 1 square matchstick.

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07 July 2016

401. Create 2 squares

Easy Medium Hard Extreme


The broken matchsticks are exactly half the length of the full length matchsticks. How would you create 2 squares, all equal in size, with the 6 matchsticks? All matchsticks don't have to be flat on the surface.

06 July 2016

400. Add 4 to create 18 squares

Easy Medium Hard Extreme


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.

Show Answer

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

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05 July 2016

399. Remove 3 to create 7 equal squares

Easy Medium Hard Extreme


There are 11 squares in total in the layout above - 9 of size 1X1 and 2 of size 2X2. Confirm that you agree.

Your challenge is to remove only 3 matchsticks to create 7 squares. The 7 squares must all be equal in size.

04 July 2016

398. Two glasses

Easy Medium Hard Extreme


Shown above are 2 glasses and 2 crosses. The distance between A and B is exactly the length of one matchstick.

Move 4 matchsticks to place the crosses inside the 2 glasses. You may not move the crosses.

03 July 2016

397. Route map: 4 squares

Easy Medium Hard Extreme


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.

Show Answer

There are 6 routes:

ABCFJ
ABEFJ
ABEHJ
ADEFJ
ADEHJ
ADGHJ

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26 June 2016

394. Mathematical: 5 minus 2 is not 8

Easy Medium Hard Extreme


Move 2 matchsticks to make the statement true. Consider yourself very good if you can solve it within 30 seconds!

25 June 2016

393. Rectangle 4X2: Remove 4 to create 5 squares

Easy Medium Hard Extreme


Take away 4 matchsticks to create 5 squares. The squares must all be equal in size.

Show Answer

There are also other variations of this solution.

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24 June 2016

392. Vertical Symmetry

Easy Medium Hard Extreme


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.

Show Answer

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

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22 June 2016

391. Square 3X3: Move 5 to create 4 squares

Easy Medium Hard Extreme


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

Show Answer

- 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.

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20 June 2016

390. Transparent 98

Easy Medium Hard Extreme



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?

19 June 2016

389. The 5 smaller farms

Easy Medium Hard Extreme



Divide the above farm into 5 smaller farms by adding 11 matchsticks. The 5 farms must be equal in size and shape.

Show Answer

There are also other solutions.

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18 June 2016

388. Snake to 2 squares

Easy Medium Hard Extreme


Move only 2 matchsticks to convert the snake into 2 squares.

17 June 2016

387. Series of matchsticks

Easy Medium Hard Extreme


Try to work out the logic behind this series of 7 matchstick shapes and replace the question mark.

Show Answer

The row consists of the lower matchsticks of the numbers 1 to 7 and number 8 is the next one to replace the "?".

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16 June 2016

386. Reduce the area to 6 square units

Easy Medium Hard Extreme


If the length of 1 matchstick is 1 unit, the area of the shape above is 9 square units. Move 6 matchsticks to change the area to 6 square units.

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There are also other variations of this solution.

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12 June 2016

385. Matchstick somersault

Easy Medium Hard Extreme


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?!!

Show Answer

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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11 June 2016

384. Move 2 to create 6 triangles

Easy Medium Hard Extreme


There are 6 triangles in the figure above. All the triangles are equal in size.

Move 2 matchsticks to still have 6 triangles, but now all the triangles don't have to be equal in size.