What does a cage label such as 6× mean?

The digits in the cage multiply to 6

KenKen Quiz: Arithmetic Cages and Logic Rules

A Japanese math teacher named Tetsuya Miyamoto created the puzzle in 2004 to sharpen his students' thinking, and this KenKen quiz walks you through its rules and tricks. Play 10 online questions on Latin square rules, cages with operations, single-cell freebies, quick cage logic in 4 by 4 grids and the puzzle's spread through The New York Times.

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🎯 Daily Trivia Challenge • 🧠 10 Questions • ⏱️ 150 Seconds

Question 1 / 10 Time: 150s

Inventor
Who invented KenKen?
Rule
In a 4 by 4 KenKen, what must each row contain?
Cage
What does a cage label such as 6× mean?
Freebie
What do you do with a single-cell cage labeled 3?
Two cells
In a 4 by 4 grid, which pair fits a two-cell cage labeled 7+?
Product
In a 4 by 4 grid, which pair fits a two-cell cage labeled 6×?
Minus
In a 4 by 4 grid, which pair fits a two-cell cage labeled 3−?
Divide
In a 4 by 4 grid, which pairs fit a two-cell cage labeled 2÷?
Name
What does the name KenKen roughly mean?
Newspaper
Which newspaper began publishing KenKen in 2009?

Explanations: answer key for all 10 questions

Q1: Who invented KenKen?
Answer: Tetsuya Miyamoto
He was a Japanese math teacher.
Q2: In a 4 by 4 KenKen, what must each row contain?
Answer: The digits 1 to 4 once each
Columns follow the same rule, like a Latin square.
Q3: What does a cage label such as 6× mean?
Answer: The digits in the cage multiply to 6
Each cage shows a target and an operation.
Q4: What do you do with a single-cell cage labeled 3?
Answer: Write 3 in that cell
One-cell cages give a free starting number.
Q5: In a 4 by 4 grid, which pair fits a two-cell cage labeled 7+?
Answer: 3 and 4
Only 3 and 4 add to 7 using digits 1 to 4.
Q6: In a 4 by 4 grid, which pair fits a two-cell cage labeled 6×?
Answer: 2 and 3
6 cannot be used, so the only pair is 2 and 3.
Q7: In a 4 by 4 grid, which pair fits a two-cell cage labeled 3−?
Answer: 1 and 4
The difference of 3 using digits 1 to 4 is only 4 minus 1.
Q8: In a 4 by 4 grid, which pairs fit a two-cell cage labeled 2÷?
Answer: 1 and 2, or 2 and 4
Both pairs give a quotient of 2.
Q9: What does the name KenKen roughly mean?
Answer: Cleverness squared
Ken means wisdom or cleverness in Japanese.
Q10: Which newspaper began publishing KenKen in 2009?
Answer: The New York Times
Crossword editor Will Shortz championed the puzzle.

Kenken Quiz – How to Solve a KenKen

KenKen was created in 2004 by Japanese math teacher Tetsuya Miyamoto. Its name means roughly cleverness squared. Like Sudoku, each row and column of an n by n grid must contain the digits 1 to n exactly once.

The grid is divided into cages, each with a target number and an operation such as addition, subtraction, multiplication or division. Single-cell cages give free numbers. Small two-cell cages in a 4 by 4 grid often have only one possible pair.

Good solvers start with freebies and tight cages, then use row and column rules to eliminate options. The New York Times began publishing KenKen in 2009, helping it spread worldwide.

What This Quiz Teaches

Puzzle fans and math learners will enjoy these questions.

Who invented KenKen
What the rules are
How cages work
Which cages solve quickly
Where it became popular

Did You Know?

KenKen grids range from 3 by 3 to 9 by 9.
Subtraction and division cages always have two cells.
Teachers use KenKen to practice arithmetic.
Larger puzzles use all four operations.
Each puzzle should have a single solution.