21 May 2017

517. Increase the inner triangles

Easy Medium Hard Extreme


In the figure above 10 matchsticks were placed on a grid to form 8 inner triangles.

What is the maximum number of inner triangles you can create by rearranging the 10 matchsticks?

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The maximum number of triangles is 14.

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19 May 2017

516. Triangle 3X3: Take away 3 to leave 6 triangles

Easy Medium Hard Extreme


TAKE AWAY 3 matchsticks to leave 6 triangles. The triangles must all be equal in size.

07 May 2017

514. Divide square into 4 equal parts

Easy Medium Hard Extreme


This puzzle is similar to but different from Number 507.

Add 10 matchsticks to the 4X4 square above to divide it into 4 equal parts. The 4 parts are allowed to have different shapes but the sizes must be exactly the same. No matchsticks may be broken.

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There are also other solutions.

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06 May 2017

513. Rectangle 4X3: Remove 4 to create 8 squares

Easy Medium Hard Extreme


There are 20 squares in total in the layout above:

2 of size 3X3 (ADUR and BEVS)
6 of size 2X2 (ACNK, BDOM, CEPN, FHTR, GJUS and HLVT)
12 of size 1X1

Take away 4 matchsticks to leave only 8 squares all equal in size.

05 May 2017

512. The 7 small triangles

Easy Medium Hard Extreme


Shown above are 3 triangles of size A and 1 small triangle of size B.

ADD 3 matchsticks to create 7 small triangles of size B and 3 of size A. The full length of each matchstick must form part of a triangle or triangles. All triangles don't have to be flat on the surface.

01 May 2017

511. Only 1 head in each node

Easy Medium Hard Extreme


The place where 2 or more matchsticks meet is called a node. How many matchsticks can you add to the grid above so that you only have 1 matchstick head in each node?

Show Answer

You can add 5 more matchsticks (in grey).

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30 April 2017

510. Take away 4 to leave 5 squares

Easy Medium Hard Extreme


TAKE AWAY 4 matchsticks to leave only 5 squares. All squares must be linked.

23 April 2017

22 April 2017

508. Move 2 to create 6 squares and 4 rectangles

Easy Medium Hard Extreme


Move only 2 matchsticks to create 6 squares and 4 rectangles. The following rules apply:

1. Squares must be equal in size
2. Rectangles must be equal in size
3. Not all squares or rectangles have to be connected

Show Answer

It is easy to see the 6 equal squares. The 4 equal rectangles are ACGE, BDHF, JLPN and KMQO.

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17 April 2017

507. Divide square into 4 equal parts

Easy Medium Hard Extreme


Add 9 matchsticks to the 4X4 square above to divide it into 4 equal parts. The 4 parts are allowed to have different shapes but the sizes must be exactly the same. No matchsticks may be broken.

14 April 2017

506. Triangle 3X3: Take away 6

Easy Medium Hard Extreme


Take away 6 matchsticks to leave only 4 triangles. Triangles don't have to be equal in size.

05 April 2017

504. Move 2 to create 9 squares

Easy Medium Hard Extreme


Move 2 matchsticks to create 9 squares. All the squares don't have to be equal in size.

Show Answer

Shown above are 8 squares of size 1X1 and 1 of size 2X2.

There are also other solutions.

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01 April 2017

503. Relationship of 4 figures

Easy Medium Hard Extreme


What is the relationship or link between the 4 figures above?

Show Answer

Remove the same 2 matchsticks from each figure and turn your head to the right. It forms the letters V W X Y.

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26 March 2017

502. Pathway with 19 matchsticks

Easy Medium Hard Extreme


19 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 19 matchsticks only once.

A solution is not possible in the existing figure above, but by changing the direction of 2 matchsticks it can be achieved. Which 2 matchsticks would you change and can you find the route?

Show Answer

The direction of matchsticks 5 and 14 are changed.

The path starts with matchstick 1 and ends with matchstick 19.

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25 March 2017

501. Remove 1 leaving 9 squares

Easy Medium Hard Extreme


Take away 1 matchstick to leave you with only 9 squares. All squares don't have to be equal in size.

Show Answer

Don't miss the square of size 2X2.

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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.

Show Answer

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