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Posts by Paulo Ferro

I hope you have fun solving the puzzles.

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Mastering Geometry Puzzles This book will challenge mathematical skills in a totally different way from the usual geometric puzzles. These 120 puzzles are visually intriguing. Mastering Geometry Puzzles has 5 chapters of puzzle...

Get your copy today!

1 day ago 4 1 1 0
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Puzzle #9 Find the missing points in the dominoes so that the multiplication is correct. Solution

Solution

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A multiplication using dominoes. A horizontal and a vertical dominoes represent the multiplicand and the multiplier. The horizontal domino has a number of spots, from left to right, four and question mark, forming part of the multiplicand. The vertical domino has the number of spots, from top to bottom, five and question mark, the first number of spots forms part of the multiplicand and the question mark is the multiplier. The product is represented by two horizontal dominoes, side by side. The first one has the number of spots, from left to right, one and question mark, and the second one has the number of spots, from left to right, four and five.

A multiplication using dominoes. A horizontal and a vertical dominoes represent the multiplicand and the multiplier. The horizontal domino has a number of spots, from left to right, four and question mark, forming part of the multiplicand. The vertical domino has the number of spots, from top to bottom, five and question mark, the first number of spots forms part of the multiplicand and the question mark is the multiplier. The product is represented by two horizontal dominoes, side by side. The first one has the number of spots, from left to right, one and question mark, and the second one has the number of spots, from left to right, four and five.

Puzzle #9
Find the missing points in the dominoes so that the multiplication is correct.
Check the solution in the comments.
#math #logic #puzzle

2 days ago 0 0 1 0
The book Mastering Geometry Puzzles on a desk.

The book Mastering Geometry Puzzles on a desk.

My book Mastering Geometry Puzzles is officially available today!
120 geometry puzzles, 5 levels of difficulty, all with step-by-step solutions.
@routledgebooks.bsky.social
#math #geometry #puzzle #book #MasteringGeometryPuzzles #BookSky

4 days ago 9 2 1 1
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Mastering Geometry Puzzles This book will challenge mathematical skills in a totally different way from the usual geometric puzzles. These 120 puzzles are visually intriguing. Mastering Geometry Puzzles has 5 chapters of puzzle...

Get your copy today!

5 days ago 0 0 0 0
Promotion code to save 20% in the purchase of the book Mastering Geometry Puzzles from Routledge's website.

Promotion code to save 20% in the purchase of the book Mastering Geometry Puzzles from Routledge's website.

My book will be released tomorrow!
Use the code 26SMA2 at Routledge's website (link in the comments) and get 20% off its price!
Starting today until 30 September 2026.
Don't miss it!
@routledgebooks.bsky.social
#math #geometry #puzzle #book #MasteringGeometryPuzzles #BookSky

5 days ago 3 0 1 1
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Puzzle #8 The sum of the points of the dominoes in this square is 20. Find all the squares similar to this one where the sum of the points of the dominoes is 12. Note that the touching ends must match. Solut…

Solution

6 days ago 0 0 0 0
Four dominoes forming a square, each one with the number of spots, clockwise direction: two and three, three and one, one and four, and four and two. The number twenty is inside the square.

Four dominoes forming a square, each one with the number of spots, clockwise direction: two and three, three and one, one and four, and four and two. The number twenty is inside the square.

Puzzle #8
The sum of the points of the dominoes in this square is 20.
Find all the squares similar to this one where the sum of the points of the dominoes is 12.
Note that the touching ends must match.
Check the solution in the comments.
#math #logic #puzzle

6 days ago 1 0 1 0
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Puzzle #7 Find the fourth domino in the sequence. Solution Note: For each term of the sequence, turn the domino 180 degrees and add 1 point in one side then subtract the points of the last term for the other…

Solution

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Four dominoes, each one with the number of spots, from left to right, from top to bottom: six and one, two and five, three and three, and question mark and question mark.

Four dominoes, each one with the number of spots, from left to right, from top to bottom: six and one, two and five, three and three, and question mark and question mark.

Puzzle #7
Find the fourth domino in the sequence.
Check the solution in the comments.
#math #logic #puzzle

1 week ago 1 0 1 0
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Puzzle #6 Three circles are inside of a big circle. The second circle and the third circle meet at the center/centre of the big circle. What fraction of the big circle is colored? Solution As the red circle …

Solution

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Three stacked circles with different radii are inside a big circle, all tangent with each other. In the top it is the small circle, labeled/labelled pi. The medium circle is between the small circle and the bigger circle, it passes through the center/centre of the big circle and it is labeled/labelled four pi. The bigger circle is below the medium circle and it passes also through the center/centre of the big circle.

Three stacked circles with different radii are inside a big circle, all tangent with each other. In the top it is the small circle, labeled/labelled pi. The medium circle is between the small circle and the bigger circle, it passes through the center/centre of the big circle and it is labeled/labelled four pi. The bigger circle is below the medium circle and it passes also through the center/centre of the big circle.

Puzzle #6
Three circles are inside of a big circle. The second circle and the third circle meet at the center/centre of the big circle.
What fraction of the big circle is colored?
Check the solution in the comments.
#math #geometry #puzzle

1 week ago 1 0 1 0
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Puzzle #5 Two squares meet at the center/centre of a circle. The yellow square has area 20. What is the area of the red square? This puzzle was published on The Guardian. Solution Let r be the radius of the …

Solution

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Two squares, one red and the other yellow, meet at the center/centre of a circle. The red square is smaller than the yellow square. The yellow square is labeled/labelled twenty.

Two squares, one red and the other yellow, meet at the center/centre of a circle. The red square is smaller than the yellow square. The yellow square is labeled/labelled twenty.

Puzzle #5
Two squares meet at the center/centre of a circle. The yellow square has area 20.
What is the area of the red square?
This puzzle was published on @theguardian.com.
Check the solution in the comments.
#math #geometry #puzzle

1 week ago 0 0 1 0
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Puzzle #4 The area of the isosceles triangle is 108. The dots separe the sides in equal parts. What is the area of the kite? Solution Let b and h be the base and the height of the isosceles triangle, respect…

Solution

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An isosceles triangle where the base is divided into two equal parts by a dot and the two equal sides are divided into three equal parts by two dots. A green kite is inside the triangle where the top vertex coincides with the vertex of the triangle and the other vertices are the two top dots of the equal sides and the dot in the base of the triangle.

An isosceles triangle where the base is divided into two equal parts by a dot and the two equal sides are divided into three equal parts by two dots. A green kite is inside the triangle where the top vertex coincides with the vertex of the triangle and the other vertices are the two top dots of the equal sides and the dot in the base of the triangle.

Puzzle #4
The area of the isosceles triangle is 108. The dots separe the sides in equal parts.
What is the area of the kite?
Check the solution in the comments.
#math #geometry #puzzle

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Puzzle #3 The figure is created out of twelve matchsticks. Modify the position of four matchsticks to get two squares. Solution

Solution

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A big square divided into four congruent small squares made with twelve matchsticks.

A big square divided into four congruent small squares made with twelve matchsticks.

Puzzle #3
The figure is created out of twelve matchsticks.
Modify the position of four matchsticks to get two squares.
Check the solutions in the comments.
#math #matchstick #puzzle

1 week ago 0 0 1 0
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Puzzle #2 The number 403 is created out of fifteen matchsticks. Modify the position of two matchsticks to get a number divisible by 9. This puzzle was published on The New York Times and on The Guardian. Sol…

Solution

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The number four hundred three made with fifteen matchsticks.

The number four hundred three made with fifteen matchsticks.

Puzzle #2
The number 403 is created out of fifteen matchsticks.
Modify the position of two matchsticks to get a number divisible by 9.
This puzzle was published on @nytimes.com and on @theguardian.com.
Check the solution in the comments.
#math #matchstick #puzzle

1 week ago 0 0 1 0
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Puzzle #1 The isosceles trapezoid/trapezium is composed of seven matchsticks. Modify the position of three matchsticks to get two equilateral triangles. This puzzle was published on NCTM and on The Guardian.…

Solution

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Trapezoid/trapezium made with seven matchsticks.

Trapezoid/trapezium made with seven matchsticks.

Puzzle #1
The isosceles trapezoid/trapezium is composed of seven matchsticks.
Modify the position of three matchsticks to get two equilateral triangles.
This puzzle was published on @nctm.org and on @theguardian.com.
Check the solution in the comments.
#math #matchstick #puzzle

1 week ago 1 0 1 0
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Mastering Geometry Puzzles (AK Peters/CRC Recreational Mathematics Series) Amazon.com: Mastering Geometry Puzzles (AK Peters/CRC Recreational Mathematics Series): 9781041245865: Ferro, Paulo: Books

(9/9)
You can pre-order it on Amazon (www.amazon.com/Mastering-Ge...) or any bookstore around the World. There are paperback, hardcover and Kindle versions available.

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(8/9)
All the puzzles have step-by-step solutions. The puzzles can be solved by geometry puzzle lovers of all ages. The puzzler does not need to be an ace in geometry to solve them.
A warning: these puzzles can lead to a serious puzzle addiction! Enjoy the challenge!

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(7/9)
The information given to solve the puzzle should be as minimal as possible, sometimes to the point that the reader might think that it is not possible to solve it. This is part of the challenge of puzzles.

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(6/9)
Puzzles should not only be fun in their design, but they should also be fun to solve. Their shape should be appealing to arouse curiosity in the reader.

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(5/9)
The first chapter, Solving a Puzzle, offers a typical puzzle, which then is solved step-by-step. It presents how geometry is used to solve it, and the logical thinking leading to the solution.

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(4/9)
There are three types of geometry puzzles in this book:
• No shape-based puzzles, i.e., triangles, circles, etc.
• General shape-based puzzles, i.e., a hamburger, a bird, etc.
• Japanese shape-based puzzles, i.e., a samurai, a bonsai, etc.

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(3/9)
Even if mathematical puzzles are new to the reader, this book is a great place to start. Puzzle solving is not only fun; it will also enhance the reader's understanding of mathematics. More experienced puzzlers will also find very challenging opportunities.

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