medium 5×5 Set 3 Unknown

This page uses a content type that does not have a custom renderer yet. Raw structured data is shown below.

{
    "_meta": {
        "schemaVersion": "2.0.0",
        "nodeId": "node-1-kenken-5x5-medium",
        "pageNumber": 3,
        "generatedAt": "2026-03-01T03:00:40.431Z",
        "generatorVersion": "v7.2.1-wp-g2",
        "seed": "1791906791269004514",
        "resolvedParams": null,
        "contractVersion": "1.0",
        "canonicalVersion": "2.0",
        "archetype": "guided-solver",
        "contentHash": "8026cc7ee427ebd7d4b46b2f7dd21fd05ec9bc24cec752cf87a260a1916b8e73"
    },
    "title": "guided-solver set 3",
    "operation": "kenken",
    "subject": "arithmetic",
    "difficulty": "medium",
    "gridSize": 5,
    "config": {
        "gridSize": 5,
        "difficulty": "medium",
        "maxNumber": 10
    },
    "problems": [
        {
            "id": 1,
            "type": "kenken",
            "gridSize": 5,
            "difficulty": "medium",
            "grid": [
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ]
            ],
            "solution": [
                [
                    2,
                    1,
                    4,
                    5,
                    3
                ],
                [
                    5,
                    2,
                    1,
                    3,
                    4
                ],
                [
                    4,
                    5,
                    3,
                    1,
                    2
                ],
                [
                    1,
                    3,
                    2,
                    4,
                    5
                ],
                [
                    3,
                    4,
                    5,
                    2,
                    1
                ]
            ],
            "cages": [
                {
                    "id": 1,
                    "cells": [
                        [
                            3,
                            1
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 2,
                    "cells": [
                        [
                            1,
                            3
                        ],
                        [
                            1,
                            2
                        ]
                    ],
                    "op": "-",
                    "target": 2,
                    "answerKey": [
                        3,
                        1
                    ],
                    "correctAnswer": "3,1"
                },
                {
                    "id": 3,
                    "cells": [
                        [
                            0,
                            0
                        ],
                        [
                            0,
                            1
                        ],
                        [
                            0,
                            2
                        ]
                    ],
                    "op": "×",
                    "target": 8,
                    "answerKey": [
                        2,
                        1,
                        4
                    ],
                    "correctAnswer": "2,1,4"
                },
                {
                    "id": 4,
                    "cells": [
                        [
                            4,
                            3
                        ],
                        [
                            4,
                            2
                        ]
                    ],
                    "op": "+",
                    "target": 7,
                    "answerKey": [
                        2,
                        5
                    ],
                    "correctAnswer": "2,5"
                },
                {
                    "id": 5,
                    "cells": [
                        [
                            3,
                            0
                        ]
                    ],
                    "op": "=",
                    "target": 1,
                    "answerKey": [
                        1
                    ],
                    "correctAnswer": "1"
                },
                {
                    "id": 6,
                    "cells": [
                        [
                            3,
                            3
                        ],
                        [
                            2,
                            3
                        ]
                    ],
                    "op": "+",
                    "target": 5,
                    "answerKey": [
                        4,
                        1
                    ],
                    "correctAnswer": "4,1"
                },
                {
                    "id": 7,
                    "cells": [
                        [
                            2,
                            1
                        ],
                        [
                            2,
                            2
                        ],
                        [
                            1,
                            1
                        ]
                    ],
                    "op": "+",
                    "target": 10,
                    "answerKey": [
                        5,
                        3,
                        2
                    ],
                    "correctAnswer": "5,3,2"
                },
                {
                    "id": 8,
                    "cells": [
                        [
                            3,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 2,
                    "answerKey": [
                        2
                    ],
                    "correctAnswer": "2"
                },
                {
                    "id": 9,
                    "cells": [
                        [
                            1,
                            0
                        ],
                        [
                            2,
                            0
                        ]
                    ],
                    "op": "×",
                    "target": 20,
                    "answerKey": [
                        5,
                        4
                    ],
                    "correctAnswer": "5,4"
                },
                {
                    "id": 10,
                    "cells": [
                        [
                            4,
                            1
                        ],
                        [
                            4,
                            0
                        ]
                    ],
                    "op": "+",
                    "target": 7,
                    "answerKey": [
                        4,
                        3
                    ],
                    "correctAnswer": "4,3"
                },
                {
                    "id": 11,
                    "cells": [
                        [
                            4,
                            4
                        ],
                        [
                            3,
                            4
                        ],
                        [
                            2,
                            4
                        ]
                    ],
                    "op": "×",
                    "target": 10,
                    "answerKey": [
                        1,
                        5,
                        2
                    ],
                    "correctAnswer": "1,5,2"
                },
                {
                    "id": 12,
                    "cells": [
                        [
                            1,
                            4
                        ]
                    ],
                    "op": "=",
                    "target": 4,
                    "answerKey": [
                        4
                    ],
                    "correctAnswer": "4"
                },
                {
                    "id": 13,
                    "cells": [
                        [
                            0,
                            3
                        ],
                        [
                            0,
                            4
                        ]
                    ],
                    "op": "+",
                    "target": 8,
                    "answerKey": [
                        5,
                        3
                    ],
                    "correctAnswer": "5,3"
                }
            ],
            "answer": "2,1,4,5,3,5,2,1,3,4,4,5,3,1,2,1,3,2,4,5,3,4,5,2,1",
            "correctAnswer": "2,1,4,5,3,5,2,1,3,4,4,5,3,1,2,1,3,2,4,5,3,4,5,2,1",
            "_meta": {
                "cageCount": 13
            }
        },
        {
            "id": 2,
            "type": "kenken",
            "gridSize": 5,
            "difficulty": "medium",
            "grid": [
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ]
            ],
            "solution": [
                [
                    2,
                    1,
                    3,
                    5,
                    4
                ],
                [
                    4,
                    3,
                    2,
                    1,
                    5
                ],
                [
                    1,
                    4,
                    5,
                    2,
                    3
                ],
                [
                    5,
                    2,
                    4,
                    3,
                    1
                ],
                [
                    3,
                    5,
                    1,
                    4,
                    2
                ]
            ],
            "cages": [
                {
                    "id": 1,
                    "cells": [
                        [
                            3,
                            2
                        ],
                        [
                            3,
                            3
                        ]
                    ],
                    "op": "×",
                    "target": 12,
                    "answerKey": [
                        4,
                        3
                    ],
                    "correctAnswer": "4,3"
                },
                {
                    "id": 2,
                    "cells": [
                        [
                            1,
                            0
                        ],
                        [
                            2,
                            0
                        ]
                    ],
                    "op": "+",
                    "target": 5,
                    "answerKey": [
                        4,
                        1
                    ],
                    "correctAnswer": "4,1"
                },
                {
                    "id": 3,
                    "cells": [
                        [
                            4,
                            3
                        ],
                        [
                            4,
                            2
                        ]
                    ],
                    "op": "×",
                    "target": 4,
                    "answerKey": [
                        4,
                        1
                    ],
                    "correctAnswer": "4,1"
                },
                {
                    "id": 4,
                    "cells": [
                        [
                            2,
                            1
                        ],
                        [
                            2,
                            2
                        ],
                        [
                            3,
                            1
                        ]
                    ],
                    "op": "+",
                    "target": 11,
                    "answerKey": [
                        4,
                        5,
                        2
                    ],
                    "correctAnswer": "4,5,2"
                },
                {
                    "id": 5,
                    "cells": [
                        [
                            1,
                            2
                        ],
                        [
                            0,
                            2
                        ],
                        [
                            1,
                            3
                        ]
                    ],
                    "op": "+",
                    "target": 6,
                    "answerKey": [
                        2,
                        3,
                        1
                    ],
                    "correctAnswer": "2,3,1"
                },
                {
                    "id": 6,
                    "cells": [
                        [
                            4,
                            4
                        ],
                        [
                            3,
                            4
                        ]
                    ],
                    "op": "-",
                    "target": 1,
                    "answerKey": [
                        2,
                        1
                    ],
                    "correctAnswer": "2,1"
                },
                {
                    "id": 7,
                    "cells": [
                        [
                            4,
                            0
                        ],
                        [
                            4,
                            1
                        ]
                    ],
                    "op": "-",
                    "target": 2,
                    "answerKey": [
                        3,
                        5
                    ],
                    "correctAnswer": "3,5"
                },
                {
                    "id": 8,
                    "cells": [
                        [
                            3,
                            0
                        ]
                    ],
                    "op": "=",
                    "target": 5,
                    "answerKey": [
                        5
                    ],
                    "correctAnswer": "5"
                },
                {
                    "id": 9,
                    "cells": [
                        [
                            0,
                            1
                        ],
                        [
                            1,
                            1
                        ],
                        [
                            0,
                            0
                        ]
                    ],
                    "op": "+",
                    "target": 6,
                    "answerKey": [
                        1,
                        3,
                        2
                    ],
                    "correctAnswer": "1,3,2"
                },
                {
                    "id": 10,
                    "cells": [
                        [
                            1,
                            4
                        ],
                        [
                            0,
                            4
                        ]
                    ],
                    "op": "-",
                    "target": 1,
                    "answerKey": [
                        5,
                        4
                    ],
                    "correctAnswer": "5,4"
                },
                {
                    "id": 11,
                    "cells": [
                        [
                            2,
                            4
                        ],
                        [
                            2,
                            3
                        ]
                    ],
                    "op": "×",
                    "target": 6,
                    "answerKey": [
                        3,
                        2
                    ],
                    "correctAnswer": "3,2"
                },
                {
                    "id": 12,
                    "cells": [
                        [
                            0,
                            3
                        ]
                    ],
                    "op": "=",
                    "target": 5,
                    "answerKey": [
                        5
                    ],
                    "correctAnswer": "5"
                }
            ],
            "answer": "2,1,3,5,4,4,3,2,1,5,1,4,5,2,3,5,2,4,3,1,3,5,1,4,2",
            "correctAnswer": "2,1,3,5,4,4,3,2,1,5,1,4,5,2,3,5,2,4,3,1,3,5,1,4,2",
            "_meta": {
                "cageCount": 12
            }
        },
        {
            "id": 3,
            "type": "kenken",
            "gridSize": 5,
            "difficulty": "medium",
            "grid": [
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ]
            ],
            "solution": [
                [
                    2,
                    1,
                    4,
                    5,
                    3
                ],
                [
                    4,
                    5,
                    3,
                    1,
                    2
                ],
                [
                    1,
                    4,
                    2,
                    3,
                    5
                ],
                [
                    3,
                    2,
                    5,
                    4,
                    1
                ],
                [
                    5,
                    3,
                    1,
                    2,
                    4
                ]
            ],
            "cages": [
                {
                    "id": 1,
                    "cells": [
                        [
                            0,
                            4
                        ],
                        [
                            0,
                            3
                        ]
                    ],
                    "op": "-",
                    "target": 2,
                    "answerKey": [
                        3,
                        5
                    ],
                    "correctAnswer": "3,5"
                },
                {
                    "id": 2,
                    "cells": [
                        [
                            0,
                            1
                        ]
                    ],
                    "op": "=",
                    "target": 1,
                    "answerKey": [
                        1
                    ],
                    "correctAnswer": "1"
                },
                {
                    "id": 3,
                    "cells": [
                        [
                            2,
                            1
                        ],
                        [
                            2,
                            2
                        ]
                    ],
                    "op": "×",
                    "target": 8,
                    "answerKey": [
                        4,
                        2
                    ],
                    "correctAnswer": "4,2"
                },
                {
                    "id": 4,
                    "cells": [
                        [
                            1,
                            1
                        ]
                    ],
                    "op": "=",
                    "target": 5,
                    "answerKey": [
                        5
                    ],
                    "correctAnswer": "5"
                },
                {
                    "id": 5,
                    "cells": [
                        [
                            1,
                            3
                        ],
                        [
                            1,
                            4
                        ],
                        [
                            2,
                            3
                        ]
                    ],
                    "op": "+",
                    "target": 6,
                    "answerKey": [
                        1,
                        2,
                        3
                    ],
                    "correctAnswer": "1,2,3"
                },
                {
                    "id": 6,
                    "cells": [
                        [
                            3,
                            2
                        ],
                        [
                            3,
                            1
                        ]
                    ],
                    "op": "-",
                    "target": 3,
                    "answerKey": [
                        5,
                        2
                    ],
                    "correctAnswer": "5,2"
                },
                {
                    "id": 7,
                    "cells": [
                        [
                            4,
                            1
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 8,
                    "cells": [
                        [
                            3,
                            3
                        ],
                        [
                            4,
                            3
                        ]
                    ],
                    "op": "+",
                    "target": 6,
                    "answerKey": [
                        4,
                        2
                    ],
                    "correctAnswer": "4,2"
                },
                {
                    "id": 9,
                    "cells": [
                        [
                            2,
                            0
                        ],
                        [
                            1,
                            0
                        ]
                    ],
                    "op": "×",
                    "target": 4,
                    "answerKey": [
                        1,
                        4
                    ],
                    "correctAnswer": "1,4"
                },
                {
                    "id": 10,
                    "cells": [
                        [
                            4,
                            0
                        ],
                        [
                            3,
                            0
                        ]
                    ],
                    "op": "×",
                    "target": 15,
                    "answerKey": [
                        5,
                        3
                    ],
                    "correctAnswer": "5,3"
                },
                {
                    "id": 11,
                    "cells": [
                        [
                            4,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 1,
                    "answerKey": [
                        1
                    ],
                    "correctAnswer": "1"
                },
                {
                    "id": 12,
                    "cells": [
                        [
                            0,
                            0
                        ]
                    ],
                    "op": "=",
                    "target": 2,
                    "answerKey": [
                        2
                    ],
                    "correctAnswer": "2"
                },
                {
                    "id": 13,
                    "cells": [
                        [
                            3,
                            4
                        ]
                    ],
                    "op": "=",
                    "target": 1,
                    "answerKey": [
                        1
                    ],
                    "correctAnswer": "1"
                },
                {
                    "id": 14,
                    "cells": [
                        [
                            1,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 15,
                    "cells": [
                        [
                            2,
                            4
                        ]
                    ],
                    "op": "=",
                    "target": 5,
                    "answerKey": [
                        5
                    ],
                    "correctAnswer": "5"
                },
                {
                    "id": 16,
                    "cells": [
                        [
                            4,
                            4
                        ]
                    ],
                    "op": "=",
                    "target": 4,
                    "answerKey": [
                        4
                    ],
                    "correctAnswer": "4"
                },
                {
                    "id": 17,
                    "cells": [
                        [
                            0,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 4,
                    "answerKey": [
                        4
                    ],
                    "correctAnswer": "4"
                }
            ],
            "answer": "2,1,4,5,3,4,5,3,1,2,1,4,2,3,5,3,2,5,4,1,5,3,1,2,4",
            "correctAnswer": "2,1,4,5,3,4,5,3,1,2,1,4,2,3,5,3,2,5,4,1,5,3,1,2,4",
            "_meta": {
                "cageCount": 17
            }
        },
        {
            "id": 4,
            "type": "kenken",
            "gridSize": 5,
            "difficulty": "medium",
            "grid": [
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ],
                [
                    0,
                    0,
                    0,
                    0,
                    0
                ]
            ],
            "solution": [
                [
                    5,
                    3,
                    2,
                    4,
                    1
                ],
                [
                    2,
                    5,
                    3,
                    1,
                    4
                ],
                [
                    4,
                    2,
                    1,
                    5,
                    3
                ],
                [
                    1,
                    4,
                    5,
                    3,
                    2
                ],
                [
                    3,
                    1,
                    4,
                    2,
                    5
                ]
            ],
            "cages": [
                {
                    "id": 1,
                    "cells": [
                        [
                            1,
                            4
                        ],
                        [
                            1,
                            3
                        ],
                        [
                            2,
                            3
                        ]
                    ],
                    "op": "×",
                    "target": 20,
                    "answerKey": [
                        4,
                        1,
                        5
                    ],
                    "correctAnswer": "4,1,5"
                },
                {
                    "id": 2,
                    "cells": [
                        [
                            2,
                            1
                        ],
                        [
                            2,
                            0
                        ]
                    ],
                    "op": "÷",
                    "target": 2,
                    "answerKey": [
                        2,
                        4
                    ],
                    "correctAnswer": "2,4"
                },
                {
                    "id": 3,
                    "cells": [
                        [
                            3,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 5,
                    "answerKey": [
                        5
                    ],
                    "correctAnswer": "5"
                },
                {
                    "id": 4,
                    "cells": [
                        [
                            4,
                            2
                        ],
                        [
                            4,
                            1
                        ]
                    ],
                    "op": "×",
                    "target": 4,
                    "answerKey": [
                        4,
                        1
                    ],
                    "correctAnswer": "4,1"
                },
                {
                    "id": 5,
                    "cells": [
                        [
                            0,
                            0
                        ],
                        [
                            0,
                            1
                        ]
                    ],
                    "op": "-",
                    "target": 2,
                    "answerKey": [
                        5,
                        3
                    ],
                    "correctAnswer": "5,3"
                },
                {
                    "id": 6,
                    "cells": [
                        [
                            3,
                            4
                        ],
                        [
                            4,
                            4
                        ]
                    ],
                    "op": "+",
                    "target": 7,
                    "answerKey": [
                        2,
                        5
                    ],
                    "correctAnswer": "2,5"
                },
                {
                    "id": 7,
                    "cells": [
                        [
                            2,
                            2
                        ],
                        [
                            1,
                            2
                        ]
                    ],
                    "op": "×",
                    "target": 3,
                    "answerKey": [
                        1,
                        3
                    ],
                    "correctAnswer": "1,3"
                },
                {
                    "id": 8,
                    "cells": [
                        [
                            1,
                            0
                        ],
                        [
                            1,
                            1
                        ]
                    ],
                    "op": "×",
                    "target": 10,
                    "answerKey": [
                        2,
                        5
                    ],
                    "correctAnswer": "2,5"
                },
                {
                    "id": 9,
                    "cells": [
                        [
                            4,
                            3
                        ]
                    ],
                    "op": "=",
                    "target": 2,
                    "answerKey": [
                        2
                    ],
                    "correctAnswer": "2"
                },
                {
                    "id": 10,
                    "cells": [
                        [
                            3,
                            3
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 11,
                    "cells": [
                        [
                            0,
                            4
                        ],
                        [
                            0,
                            3
                        ]
                    ],
                    "op": "+",
                    "target": 5,
                    "answerKey": [
                        1,
                        4
                    ],
                    "correctAnswer": "1,4"
                },
                {
                    "id": 12,
                    "cells": [
                        [
                            3,
                            1
                        ],
                        [
                            3,
                            0
                        ]
                    ],
                    "op": "+",
                    "target": 5,
                    "answerKey": [
                        4,
                        1
                    ],
                    "correctAnswer": "4,1"
                },
                {
                    "id": 13,
                    "cells": [
                        [
                            4,
                            0
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 14,
                    "cells": [
                        [
                            2,
                            4
                        ]
                    ],
                    "op": "=",
                    "target": 3,
                    "answerKey": [
                        3
                    ],
                    "correctAnswer": "3"
                },
                {
                    "id": 15,
                    "cells": [
                        [
                            0,
                            2
                        ]
                    ],
                    "op": "=",
                    "target": 2,
                    "answerKey": [
                        2
                    ],
                    "correctAnswer": "2"
                }
            ],
            "answer": "5,3,2,4,1,2,5,3,1,4,4,2,1,5,3,1,4,5,3,2,3,1,4,2,5",
            "correctAnswer": "5,3,2,4,1,2,5,3,1,4,4,2,1,5,3,1,4,5,3,2,3,1,4,2,5",
            "_meta": {
                "cageCount": 15
            }
        }
    ],
    "layout": {
        "columns": 2,
        "problemsPerPage": 20
    },
    "_archetype": null,
    "_generatorId": null
}