KenKen puzzles are a great way for children to gain practice with single digit operations while 3×3 addition and subtraction 3×3 multiplication and division. How to Play Kenken. KenKen is a Japanese paper puzzle by Tetsuya Miyamoto that resembles Sudoku. Some papers even offer 3×3 grids for beginners too. Introduce KenKen(R) puzzles as a classroom cooperative puzzle. . We need 3 x 3, but we also need another number that won’t “spoil” the product: 3 x 3 x 1.

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Changed your mind about a number? We’re trying to be as reasonable as possible, and it also allows us to continue to offer you an option to 33 KenKen puzzles for free. A “number ring” appears with that grid’s possible numbers.

Ask for ideas, but recognize that students are not yet likely to expect that solving a puzzle is about deduction not guessing. Use whatever strategies and orders work well for you.

So we fill kenkeb a 3 in the other square. Try our mobile app on iPhone and iPad or our Kindle version. Download transparency to use in introducing KenKen. Talented puzzlers can do krnken same thing with multiplication, too. Register now to receive free, printable, monthly sets of one-of-a-kind KenKen puzzles — handcrafted by its inventor! For example, each row of a 6×6 must multiply to There are some simple techniques that will help you solve the easier puzzles.

Tutorial (Beginner)

A completed Kenken needs to have every single number in every single row and column, only once. Fill in each horizontal row with the numberswithout repeating any of them.

With the same logic using addition, or just knowing which numbers need to be in every row and columnwe can fill in the remaining two squares. A significant part of the Law School Admission Test is a kind of kenkken puzzle that sometimes appears in schools only as a rainy-afternoon diversion for students who have finished their “real” work!


Fill in blank single boxes first. Always check all three sets of clues before putting in a number. A two must be in the top or bottom — meaning it cannot be in the middle rows. The 1 can’t go in the same column with the other 1.

For example, imagine a vertical row that already contains a 4 and a blank in the top boxes. However, X-winging is when you can eliminate all 2s from every other space in the two rows shown by the “X”. The numbers, of course, can be in any order.

Similarly, if the product of one row isthen the product of two rows must be 2. Ask students kenen might go in the two cells.

The rules take some getting used to, but once you have the basics down you can tackle Ken Kens of any size. Click here to 3xx3 the video of how it works.

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Introducing KenKen Puzzles

The “X-wing” is when you have the same possible number say, a 2 in two side-by-side boxes in two different places see example below. You’ll see examples of what this means below. Start with a 4×4 puzzle, like the one shown here. Finding the easiest places to start is part of what makes this a puzzle.

While the difficulty of the puzzle increases depending on the size, the actual rules and strategy for solving it do not. Do we know what order to write them? After waiting long enough for students to have a chance, feel free to model “finding an easy place” by pointing to an “easy place” that you see.


Revenue we raise from advertisements and subscription sales allow us to keep the program going, plain and simple. You can download this puzzle to project on a smartboard or overhead projector to introduce KenKen puzzles.

If you’d like to repeat a note notes in another square, simply drag the number from the original square to the new one.

Fun, addicting, yet educational. These puzzles should be a regular feature of your classroom, so that students see that you consider puzzles “serious work” even though they’re fun!

To delete a number or note, press C. Expand the row by row sums above to account for rows at once. Cages with just one square should be filled in with the target number in the top corner.

To hide the number ring, click the red “X. That number is the goal, no operation is needed, so we just write the number. Regardless of why, how, or where you play, KenKen are the math puzzles that make you smarter! Just follow the big, thick lines.

3 Ways to Play Kenken – wikiHow

Menken thank you for supporting these teachers and students by supporting us. Already answered Not a question Bad question Other. Know that the same rules apply no matter how big the puzzle gets. The number will disappear from the square. While you may notice some subtle differences, puzzle play should be exactly the same as always This puzzle uses only addition. Puzzles are not just motivational play.

Cages that are around only one square are the easiest to solve.