14 January 2017

487. The next number

Easy Medium Hard Extreme


Replace the "?" with the next number in the sequence.

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Each figure has one node (connection of 2 or 3 matchsticks) less than the previous one.

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07 January 2017

486. Divide into 2 equal parts

Easy Medium Hard Extreme


Add 3 matchsticks to the shape above to to divide it into 2 equal parts.

02 January 2017

485. Rectangle 4X2: Take away 9 to leave 4 squares

Easy Medium Hard Extreme


Take away 9 matchsticks to leave 4 squares. The 4 squares must be equal in size.

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There are also other solutions.

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31 December 2016

484. The 12 matchstick challenge

Easy Medium Hard Extreme


There are 12 matchsticks in the top row, the bottom row, the left column and the right column as shown above.

Your challenge is to TAKE AWAY 4 matchsticks and rearrange the remaining matchsticks to still leave you with 12 matchsticks in the top- and bottom rows as well as the left- and right columns.

All matchsticks must be flat on the surface and no matchsticks may be broken.

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TAKE AWAY 4 matchsticks in the middle row. Move one matchstick to each corner as shown with the arrows.

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30 December 2016

483. Odd one out

Easy Medium Hard Extreme


Which layout above is the odd one out?

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C is the odd one out. Adding 1 matchstick to any other layout forms a capital letter.

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29 December 2016

482. Mathematical: 7 minus 0 is not 6

Easy Medium Hard Extreme


MOVE 3 matchsticks to make the equation true. Can you do this within 30 seconds?

27 December 2016

481. Move 4 to create 5 triangles

Easy Medium Hard Extreme


Move 4 matchsticks to form 5 triangles. The triangles do not have to be equal in size. All matchsticks must be flat on the surface.

23 December 2016

480. Triangle 3X3: Remove 3 to leave 9

Easy Medium Hard Extreme


Take away 3 matchsticks to leave 9 triangles. The 9 triangles do not have to be equal in size.

Show Answer

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

There are also other solutions.

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19 December 2016

479. Reduce the area to 8

Easy Medium Hard Extreme


If the length of 1 matchstick is 1 unit, the area of the shape above is 12 square units. Move 6 matchsticks to reduce the area to 8 square units.

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There are also other solutions

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17 December 2016

478. Divide into 3 shapes

Easy Medium Hard Extreme


Add 7 matchsticks to divide the shape above into 3 smaller shapes. The 3 shapes must be equal in size and shape.

16 December 2016

477. Ten Triangles

Easy Medium Hard Extreme


Shown above are 5 equal triangles formed with 15 matchsticks. Note how the triangles are placed exactly in the middle of an adjacent triangle.

Move 3 matchsticks to form 10 triangles. The rules are:

- All matchsticks must be flat on the surface
- No matchstick may be broken
- The full length of each matchstick must form part of a triangle
- 6 of the 10 triangles must be equal in size.

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Triangles f, g, h, j, k and m are equal in size.

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11 December 2016

476. Increase the crossings

Easy Medium Hard Extreme


Shown above are 4 matchsticks crossing one another at 6 points. (marked with blue circles) How many crossings can be formed with 5 matchsticks?

Show Answer

There are 10 possible crossings. It might be easier to try this with 5 straws.

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10 December 2016

475. Rectangle 4X2: Take away 7

Easy Medium Hard Extreme


Take away 7 matchsticks to form 4 squares. The 4 squares must be equal in size.

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There are also other solutions.

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09 December 2016

474. Polygon with 7 sides

Easy Medium Hard Extreme


Shown above is a six sided convex polygon built from 1 square and 2 triangles. 8 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 to 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 to be flat on the surface.

03 December 2016

473. The matching pair

Easy Medium Hard Extreme


How quick is your brain to find the 2 figures that match perfectly?

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Numbers 5 and 9 match perfectly.

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02 December 2016

472. Rectangle 3X2: Move 3 to create 5 squares

Easy Medium Hard Extreme


Move 3 matchsticks to create 5 squares. All the squares must be equal in size.

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There are many other solutions.

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25 November 2016

20 November 2016

470. Roman numerals: 5 minus 4 is not 4

Easy Medium Hard Extreme


Another tongue-in-cheek!

How would you show that the above statement is correct by just adding 1 matchstick?

19 November 2016

469. Broken matchstick migration

Easy Medium Hard Extreme


Place 6 broken matchsticks (2 with heads and 4 without heads) as shown in the figure left above. The challenge is to move the broken matchsticks and to end as shown in the figure right. Only 1 broken matchstick may be in a square when moving.

Can you achieve this in only 9 moves?

Show Answer

The following is 1 solution:
E to C
F to A
C to F
D to C
H to B
I to D
F to I
G to F
I to E

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18 November 2016

468. Move 4 to create 2 squares

Easy Medium Hard Extreme


Move 4 matchsticks to create 2 squares. The 2 squares must NOT be equal in size.

12 November 2016

467. Building with blocks

Easy Medium Hard Extreme


The 4 blocks above (A, B, C and D) are used to build the shape as shown. In how many different ways can you construct the same shape by just moving the blocks within the shape? To achieve this, only the matchsticks inside the shape may be moved.

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There are 5 solutions - the one in the original question and the 4 above.

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11 November 2016

466. From 0 to 7 triangles

Easy Medium Hard Extreme


There is not a single triangle in the layout above. However, by just adding 2 matchsticks you could have 7 triangles. How would you do this? All matchsticks don't have to be flat on the surface.

Show Answer

The 7 triangles are:

ACB
AGD
GFH
CJH
JEF
CEG
BED

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06 November 2016

465. Remove 12 to form 3 squares

Easy Medium Hard Extreme


Take away 12 matchsticks to form 3 squares. The 3 squares must be equal in size.

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There are also other solutions.

05 November 2016

464. Mathematical: 4 plus 3 is not 6

Easy Medium Hard Extreme


The equation above is not true. Move only 1 matchstick to make it true.

04 November 2016

463. Change to equal ratio

Easy Medium Hard Extreme


The sizes of the 3 shapes are in ratio of 5:3:1. Move only 1 matchstick to change the ratio to 3:3:3.

30 October 2016

462. Move 6 to create 4 squares

Easy Medium Hard Extreme


Move 6 matchsticks to create 4 squares. Exactly 3 of the 4 squares must be equal in size.

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There are also other solutions.

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