19 March 2017

500. Matchstick Grid: Count the heads

Easy Medium Hard Extreme


If you count the matchstick heads in each diagonal, vertical and horizontal row you will get to the numbers as shown above.

Your challenge is to rearrange the matchsticks to have:
- 4 heads in each row
- 4 heads in each column
- 5 heads in each diagonal row.

Your solution must still be a 2X2 matchstick grid.

18 March 2017

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

Easy Medium Hard Extreme


There are a total of 8 squares in the figure above - 6 of size 1X1 and 2 of size 2X2.

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

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There are also other solutions

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12 March 2017

498. Link between rows

Easy Medium Hard Extreme


Can you find the "link" between rows 1 and 2? If you can, you deserve winning the LOTTO!

Show Answer

Flipping Rows 1 and 2 vertically spells the word LOTTO.

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11 March 2017

497. Mathematical: 1 plus 4 is not 6

Easy Medium Hard Extreme


Move 2 matchsticks to make the equation true. Can you find both solutions?

05 March 2017

496. Triangle 4X4: Reduce to one quarter

Easy Medium Hard Extreme


Move 6 matchsticks to create a new shape one quarter of the original size.

04 March 2017

495. Rectangle 4X2: Remove 8 leaving 4 squares

Easy Medium Hard Extreme


Remove 8 matchsticks from the layout above to leave only 4 squares. The 4 squares must be equal in size and don't have to be connected.

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There are also other solutions.

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01 March 2017

494. Move 3 to create 14 squares

Easy Medium Hard Extreme


Move 3 matchsticks to create 14 squares. The squares don't have to be equal in size.

Show Answer

There are 9 squares of size 1X1, 4 squares of size 2X2 and 1 square of size 3X3.

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26 February 2017

493. Divide the grid into the ratio 1:4:4

Easy Medium Hard Extreme


Place 6 matchsticks inside a 3X3 square as shown above. The square is divided into 3 parts in the ratio 2:3:4

Move only 1 matchstick on the inside of the square to change the ratio to 1:4:4

18 February 2017

492. Pathway with 7 matchsticks

Easy Medium Hard Extreme


7 matchsticks are used to form a pathway as shown above. The challenge is to start at a point, move in the direction of the matchstick heads and visit each of the 7 matchsticks only once.

A solution is not possible in the existing figure above, but by changing the direction of 3 matchsticks it can be achieved. How would you do this?

Show Answer

The directions of matchsticks 1, 2 and 5 are changed.

There are also other solutions.

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11 February 2017

491. Triangle 3X3: Remove 6 leaving 3 triangles

Easy Medium Hard Extreme


Remove 6 matchsticks leaving 3 triangles. The 3 triangles must be of 3 different sizes.

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There are also other solutions

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04 February 2017

490. Move 3 to form 9 squares

Easy Medium Hard Extreme


Move 3 matchsticks to create 9 squares. The squares don't have to be equal in size.

Show Answer

There are 7 squares of size 1X1 and 2 squares of size 2X2. (ACGE and BDHF)

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28 January 2017

489. Mathematical: 1 plus 3 is not 2

Easy Medium Hard Extreme


Move 2 matchsticks to make the equation true.

You are good if you can find all 3 solutions.

20 January 2017

488. Four equal squares

Easy Medium Hard Extreme


Take away only 1 matchstick to leave 4 equal squares. All the squares must be connected and all matchsticks must form part of a square.

14 January 2017

487. The next number

Easy Medium Hard Extreme


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

Show Answer

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.

Show Answer

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.

Show Answer

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?

Show Answer

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.

Hide Answer

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.

Show Answer

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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