Math Puzzles for Adults: Kakuro 9x9 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles for Adults
ISBN 13 : 9781798542835
Total Pages : 124 pages
Book Rating : 4.5/5 (428 download)

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Book Synopsis Math Puzzles for Adults: Kakuro 9x9 Puzzle Collection by : Mike Petterson

Download or read book Math Puzzles for Adults: Kakuro 9x9 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles for Adults. This book was released on 2019-03-03 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Math Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles for Adults
ISBN 13 : 9781798542880
Total Pages : 124 pages
Book Rating : 4.5/5 (428 download)

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Book Synopsis Math Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection by : Mike Petterson

Download or read book Math Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles for Adults. This book was released on 2019-03-03 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Logic Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles for Adults
ISBN 13 : 9781798542682
Total Pages : 124 pages
Book Rating : 4.5/5 (426 download)

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Book Synopsis Logic Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection by : Mike Petterson

Download or read book Logic Puzzle Book for Adults: Kakuro 9x9 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles for Adults. This book was released on 2019-03-03 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Brain Teasers for Adults: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796740943
Total Pages : 116 pages
Book Rating : 4.7/5 (49 download)

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Book Synopsis Brain Teasers for Adults: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Brain Teasers for Adults: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Brain Teaser Puzzles for Adults: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796741384
Total Pages : 116 pages
Book Rating : 4.7/5 (413 download)

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Book Synopsis Brain Teaser Puzzles for Adults: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Brain Teaser Puzzles for Adults: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Brain Teasers for Office: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796741339
Total Pages : 116 pages
Book Rating : 4.7/5 (413 download)

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Book Synopsis Brain Teasers for Office: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Brain Teasers for Office: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Brain Teaser Games: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796741230
Total Pages : 116 pages
Book Rating : 4.7/5 (412 download)

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Book Synopsis Brain Teaser Games: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Brain Teaser Games: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Brain Teaser Book: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796741018
Total Pages : 116 pages
Book Rating : 4.7/5 (41 download)

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Book Synopsis Brain Teaser Book: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Brain Teaser Book: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Japanese Brain Teasers: Kakuro 8x8 Puzzle Collection

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Author :
Publisher : Kakuro Puzzles
ISBN 13 : 9781796741155
Total Pages : 116 pages
Book Rating : 4.7/5 (411 download)

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Book Synopsis Japanese Brain Teasers: Kakuro 8x8 Puzzle Collection by : Mike Petterson

Download or read book Japanese Brain Teasers: Kakuro 8x8 Puzzle Collection written by Mike Petterson and published by Kakuro Puzzles. This book was released on 2019-02-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. ============ KEYWORDS / TAGS: kakuro puzzle books - kakuro puzzle books for adults - kakuro and sudoku - kakuro cross sums - kakuro large print - math puzzles - math puzzles for adults - math puzzle books - math puzzle books for adults - math jigsaw puzzles - math puzzle logic - logic puzzles - logic puzzles for adults - logic puzzle books for teens - logic puzzle adult - logic puzzles daily

Kakuro Puzzle Book for Adults

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Author :
Publisher : Independently Published
ISBN 13 : 9781983063367
Total Pages : 115 pages
Book Rating : 4.0/5 (633 download)

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Book Synopsis Kakuro Puzzle Book for Adults by : Fumiko Kawai

Download or read book Kakuro Puzzle Book for Adults written by Fumiko Kawai and published by Independently Published. This book was released on 2018-06-02 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. ? The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3.

King-Sized Kakuro Mixed Grids Deluxe - Volume 2 - 249 Puzzles

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Author :
Publisher : PuzzleBooks.net
ISBN 13 : 1502809869
Total Pages : 292 pages
Book Rating : 4.5/5 (28 download)

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Book Synopsis King-Sized Kakuro Mixed Grids Deluxe - Volume 2 - 249 Puzzles by : Nick Snels

Download or read book King-Sized Kakuro Mixed Grids Deluxe - Volume 2 - 249 Puzzles written by Nick Snels and published by PuzzleBooks.net. This book was released on 2014-10-12 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you buy this book you get an electronic version (PDF file) of the interior of this book. King-Sized Kakuro Deluxe bundles the biggest and baddest Kakuro puzzles ever. Your brain will work overtime on these colossal logic math puzzles. Kakuro is a fun way for kids and adults to practice addition facts. Once you pick up this book, you won't be able to put it back down. You have been warned! Only 1 Kakuro puzzle per page, with lots of white space for scribbling. King-Sized Kakuro Mixed Grids is a collection of 153 puzzles: 54 Kakuro 19x19 puzzles 54 Kakuro 20x20 puzzles 54 Kakuro 21x21 puzzles 54 Kakuro 22x22 puzzles 54 extra logic puzzles The goal of Kakuro is to insert numbers into the white cells. Possible numbers are always 1 to 9. The sum of each horizontal block must equal the clue on its left. The sum of each vertical block must equal the clue above it. You can only use a number once in each horizontal or vertical block. I guarantee that every logic puzzle in this Kakuro puzzle book has been carefully checked to ensure that each puzzle has only 1 solution. None of the puzzles in this book will appear in any of the other PuzzleBooks.net books. Kakuro is also known as Cross Sums, Kakro, Kakkuro and Cross Addition. Kakuro is also quite often misspelled as Kakura.

Brain Teasers with Answers for Students: Kakuro 9x9 Puzzles - The Best Japanese Puzzles Collection

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Author :
Publisher : Kakuro Puzzle Books
ISBN 13 : 9781719898300
Total Pages : 116 pages
Book Rating : 4.8/5 (983 download)

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Book Synopsis Brain Teasers with Answers for Students: Kakuro 9x9 Puzzles - The Best Japanese Puzzles Collection by : Jeff Heldt

Download or read book Brain Teasers with Answers for Students: Kakuro 9x9 Puzzles - The Best Japanese Puzzles Collection written by Jeff Heldt and published by Kakuro Puzzle Books. This book was released on 2018-08-26 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. kakuro puzzle book - kakuro puzzle books for adults - kakuro books - kakuro white belt - kakuro black belt - kakuro absolutely - kakuro and sudoku - kakuro brown belt - kakuro belt - kakuro large print - kakuro medium - kakuro puzzle book brown belt - kakuro puzzle book easy - kakuro university - mathematical puzzle books - mathematical games and puzzle - mathematical crossword puzzle with answers - mathematical jigsaw puzzle - japanese mathematical puzzle - mathematical logic puzzle - mathematical matrix puzzle - mathematical mind puzzle - mathematical matching puzzle - math puzzles for middle school - math puzzle brain teasers

Easy Kakuro Puzzles

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Author :
Publisher : Independently Published
ISBN 13 : 9781983059384
Total Pages : 115 pages
Book Rating : 4.0/5 (593 download)

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Book Synopsis Easy Kakuro Puzzles by : Fumiko Kawai

Download or read book Easy Kakuro Puzzles written by Fumiko Kawai and published by Independently Published. This book was released on 2018-06-02 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues". A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue.

Hard Kakuro Puzzles

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Author :
Publisher : Independently Published
ISBN 13 : 9781983059452
Total Pages : 115 pages
Book Rating : 4.0/5 (594 download)

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Book Synopsis Hard Kakuro Puzzles by : Fumiko Kawai

Download or read book Hard Kakuro Puzzles written by Fumiko Kawai and published by Independently Published. This book was released on 2018-06-02 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues". A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue.

Kakuro For Kids Mixed Grids - Volume 1 - 141 Puzzles

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Author :
Publisher : PuzzleBooks.net
ISBN 13 : 1503223515
Total Pages : 98 pages
Book Rating : 4.5/5 (32 download)

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Book Synopsis Kakuro For Kids Mixed Grids - Volume 1 - 141 Puzzles by : Nick Snels

Download or read book Kakuro For Kids Mixed Grids - Volume 1 - 141 Puzzles written by Nick Snels and published by PuzzleBooks.net. This book was released on 2014-11-13 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you buy this book you get an electronic version (PDF file) of the interior of this book. Kakuro is a fun and addicting logic puzzle game that combines logic thinking with an addition math game. Kakuro is a fun way for kids to practice addition facts. Kakuro teaches your child logical thinking and deductive reasoning skills, even at a young age. Kakuro improves critical thinking and making quick decisions based upon available evidence. Kakuro is a brain game that helps to train the brain of your child. In addition, Kakuro demands attention to detail - noticing patterns, spotting opportunities, and finding the right moment to make a move. Kakuro is not only fun and interesting – it might just help prepare your kids for better success in school and in life. Kakuro For Kids Mixed Grids - Easy to Hard is a collection of 141 puzzles: 12 Kakuro 5x5 puzzles 12 Kakuro 6x6 puzzles 16 Kakuro 7x7 puzzles 16 Kakuro 8x8 puzzles 16 Kakuro 9x9 puzzles 24 Kakuro 10x10 puzzles 24 Kakuro 11x11 puzzles 21 extra logic puzzles The goal of Kakuro is to insert numbers into the white cells. Possible numbers are always 1 to 9. The sum of each horizontal block must equal the clue on its left. The sum of each vertical block must equal the clue above it. You can only use a number once in each horizontal or vertical block. I guarantee that every logic puzzle in this Kakuro book has been carefully checked to ensure that each puzzle has only 1 solution. Kakuro is also known as Cross Sums, Kakro, Kakkuro and Cross Addition. Kakuro is also quite often misspelled as Kakura.

Funny Brain Games

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Author :
Publisher : Brain Teasers with Answers
ISBN 13 : 9781717969415
Total Pages : 116 pages
Book Rating : 4.9/5 (694 download)

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Book Synopsis Funny Brain Games by : Sandra Berry

Download or read book Funny Brain Games written by Sandra Berry and published by Brain Teasers with Answers. This book was released on 2018-07-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues". A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3. brain teasers with answers - brain teaser puzzles - brain teaser games - brain teasers for adults - maths puzzles with answers - brain puzzles for adults - math puzzles for adults - brain teasers riddles - mind puzzle games - mind puzzles for adults - mind teasers - brain teaser puzzles for adults - fun for the brain - puzzle games for adults - brain busters - math brain teasers - funny brain teasers - brain teasers riddles with answers - logic brain teasers - brain teasers and answers - riddles and brain teasers

Kakuro Hard

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Author :
Publisher : Independently Published
ISBN 13 : 9781983063251
Total Pages : 115 pages
Book Rating : 4.0/5 (632 download)

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Book Synopsis Kakuro Hard by : Fumiko Kawai

Download or read book Kakuro Hard written by Fumiko Kawai and published by Independently Published. This book was released on 2018-06-02 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kakuro (also known as "Cross Sums") is a logical puzzle, a mathematical equivalent of crosswords. The puzzle consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called "the clues." A number in the top right corner relates to an "across" clue and one in the bottom left a "down" clue. ? The object of a kakuro is to insert digits from 1 to 9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 and 5, 2 and 4 but not 3 and 3.