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[{"key": "0", "content": "Other types in the principle of multiplication"}, {"key": "1", "content": "Principle of Addition and Multiplication Combined"}, {"key": "2", "content": "Item Matching"}, {"key": "3", "content": "Dye Counting Problem"}, {"key": "4", "content": "Combination of object quantities"}, {"key": "5", "content": "Route Matching Problem"}, {"key": "6", "content": "Geometric idea translation"}, {"key": "7", "content": "Trap-shaped irregular figure perimeter calculation"}, {"key": "8", "content": "Finding the perimeter of an irregular staircase-shaped figure"}, {"key": "9", "content": "Perimeter of Rectangle"}, {"key": "10", "content": "Perimeter of a Rectangular Composite Shape"}, {"key": "11", "content": "Perimeter formula for rectangle and square"}, {"key": "12", "content": "Geometric method to reduce blank space overall"}, {"key": "13", "content": "Geometric method remains unchanged"}, {"key": "14", "content": "Graphical Cognition"}, {"key": "15", "content": "Graphic Cut and Paste"}, {"key": "16", "content": "Divide shapes (not necessarily into equal parts)"}, {"key": "17", "content": "Perimeter of Square Composite Shape"}, {"key": "18", "content": "Rectangle and square area formulas"}, {"key": "19", "content": "Connect-the-dots method"}, {"key": "20", "content": "Finding contradictions"}, {"key": "21", "content": "Method of Eliminating Contradictions"}, {"key": "22", "content": "Half true, half false"}, {"key": "23", "content": "Integer multiple relationship"}, {"key": "24", "content": "Clever calculation of integer multiplication by factoring out the common factor (standard type)"}, {"key": "25", "content": "Direct application of distributive law"}, {"key": "26", "content": "Extracting Common Factors from Integers"}, {"key": "27", "content": "Divine Reasoning"}, {"key": "28", "content": "Perimeter of rectangle and square combination shapes"}, {"key": "29", "content": "Tabular method"}, {"key": "30", "content": "Division in column"}, {"key": "31", "content": "Off-sheet division calculation"}, {"key": "32", "content": "Arithmetic sequence general term formula"}, {"key": "33", "content": "Arithmetic Series Summation"}, {"key": "34", "content": "Integer best friends numbers"}, {"key": "35", "content": "Application of the Intermediate Value Theorem"}, {"key": "36", "content": "Multiplication and Division Cancellation"}, {"key": "37", "content": "Arithmetic sequence to find the common difference"}, {"key": "38", "content": "Clever Calculation of Integer Division by Extracting Common Divisors (Standard Type)"}, {"key": "39", "content": "Minesweeper game"}, {"key": "40", "content": "Rectangle Counting"}, {"key": "41", "content": "square"}, {"key": "42", "content": "Closure tree planting type problem (number of sections greater than 10)"}, {"key": "43", "content": "Understanding Line Segments"}, {"key": "44", "content": "Line segment counting"}, {"key": "45", "content": "Spacing Issue"}, {"key": "46", "content": "Tree planting type problem with two ends (number of sections greater than 10)"}, {"key": "47", "content": "A Tree Planting Problem"}, {"key": "48", "content": "Bell ringing problem"}, {"key": "49", "content": "Tree Planting at Both Ends Problem"}, {"key": "50", "content": "Multiplication Application (Rhyme)"}, {"key": "51", "content": "Problems of the type where trees are not planted on either end (number of segments is less than or equal to 10)"}, {"key": "52", "content": "Problem of not planting trees on either end"}, {"key": "53", "content": "Two Ends Tree Planting Problem"}, {"key": "54", "content": "Climbing stairs problem"}, {"key": "55", "content": "Fundamental Arrangement Periodic Problem"}, {"key": "56", "content": "Single Variable Reduction Problem"}, {"key": "57", "content": "Period in the Date"}, {"key": "58", "content": "Inverse operation"}, {"key": "59", "content": "Bulk Reduction Problem"}, {"key": "60", "content": "Restore Issue"}, {"key": "61", "content": "Two Dimensional Reduction Problem"}, {"key": "62", "content": "Single Return One Problem"}, {"key": "63", "content": "Divide in half"}, {"key": "64", "content": "Single person simple itinerary issue"}, {"key": "65", "content": "Dual Homing Issue"}, {"key": "66", "content": "Rectangle perimeter formula"}, {"key": "67", "content": "Triangle"}, {"key": "68", "content": "Logic Drawing"}, {"key": "69", "content": "Cycle of Numbers"}, {"key": "70", "content": "Directly apply the formula to find the unit price"}, {"key": "71", "content": "Compound Bar Chart"}, {"key": "72", "content": "Simple analysis of data"}, {"key": "73", "content": "Calculation and Solution"}, {"key": "74", "content": "Single-object bar chart"}, {"key": "75", "content": "Multiple Object Bar Chart"}, {"key": "76", "content": "Bar Chart"}, {"key": "77", "content": "Simple Statistical Table"}, {"key": "78", "content": "Two Quantity Exclusion"}, {"key": "79", "content": "Flexible Grouping"}, {"key": "80", "content": "Solve the basic chickens and rabbits in the same cage problem using the grouping method"}, {"key": "81", "content": "Original questions"}, {"key": "82", "content": "Three-quantity Inclusion-Exclusion"}, {"key": "83", "content": "Digital Comprehensive Issues"}, {"key": "84", "content": "Inclusion-Exclusion Principle"}, {"key": "85", "content": "Page Number Issue"}, {"key": "86", "content": "Number of Pages"}, {"key": "87", "content": "The Concept of a Parallelogram"}, {"key": "88", "content": "The area formula for a parallelogram"}, {"key": "89", "content": "Using area to find perimeter"}, {"key": "90", "content": "Understanding Right-Angle Trapezoids"}, {"key": "91", "content": "Method for calculating the area of a quadrilateral with two perpendicular diagonals"}, {"key": "92", "content": "Formula for the area of a trapezoid"}, {"key": "93", "content": "Use the formula method to find the area of a trapezoid"}, {"key": "94", "content": "Overlay"}, {"key": "95", "content": "Seeking forward, seeking backward, calculating area"}, {"key": "96", "content": "Directly calculate speed using formula"}, {"key": "97", "content": "Characteristics of the sides and angles of a parallelogram"}, {"key": "98", "content": "Trapezoid area formula"}, {"key": "99", "content": "Depart at the same time"}, {"key": "100", "content": "Double Simple Travel Issues"}, {"key": "101", "content": "Depart at different times and move towards each other"}, {"key": "102", "content": "Practical Application"}, {"key": "103", "content": "Logical analysis"}, {"key": "104", "content": "Start at the same time and move towards each other"}, {"key": "105", "content": "Directly calculate the distance using the formula"}, {"key": "106", "content": "Rules for Adding and Subtracting Odd and Even Numbers"}, {"key": "107", "content": "Setting off at different times"}, {"key": "108", "content": "The application of odd and even numbers"}, {"key": "109", "content": "Mixed calculation of odd and even numbers"}, {"key": "110", "content": "Parity of Sum and Product"}, {"key": "111", "content": "Constructing numbers using parity rules"}, {"key": "112", "content": "Multiplication Vertical Puzzle"}, {"key": "113", "content": "Divisibility characteristics of the tail number"}, {"key": "114", "content": "First acquaintance with division"}, {"key": "115", "content": "Characteristics of multiples of 3"}, {"key": "116", "content": "Application of Congruence and Division Properties"}, {"key": "117", "content": "Understanding Odd and Even Numbers"}, {"key": "118", "content": "Division Long Division Puzzle"}, {"key": "119", "content": "Out-of-table multiplication calculation"}, {"key": "120", "content": "Addition in horizontal format"}, {"key": "121", "content": "Special Product"}, {"key": "122", "content": "Principle of Positional Value in Clever Integer Addition and Subtraction"}, {"key": "123", "content": "Finding the known positions in a table of rectangular numbers of consecutive natural numbers"}, {"key": "124", "content": "Finding the Position of Known Numbers in the Table of Rectangular Numbers of Consecutive Natural Numbers"}, {"key": "125", "content": "Sequences and Tables"}, {"key": "126", "content": "Pancake problem"}, {"key": "127", "content": "Total time and problem"}, {"key": "128", "content": "Coordination during deployment"}, {"key": "129", "content": "Distance = Speed \u00d7 Time"}, {"key": "130", "content": "Pursuit and encounter combined"}, {"key": "131", "content": "Simple Integer Equation"}, {"key": "132", "content": "Age issue difference times type"}, {"key": "133", "content": "Algebraic expression"}, {"key": "134", "content": "Application problems of solving linear equations with one unknown"}, {"key": "135", "content": "Integral Coefficient Equation"}, {"key": "136", "content": "Problem of encounters, seeking the sum of distances"}, {"key": "137", "content": "Set up equations to solve application problems"}, {"key": "138", "content": "Shortest route"}, {"key": "139", "content": "Perimeter of a square"}, {"key": "140", "content": "Cleverly Seeking the Perimeter"}, {"key": "141", "content": "Perimeter of an irregular polygon"}, {"key": "142", "content": "Number of Groups (No Repetition)"}, {"key": "143", "content": "Find the extreme values by enumeration method"}, {"key": "144", "content": "Number of Card Decks"}, {"key": "145", "content": "Pictorial Addition Vertical Number Puzzle"}, {"key": "146", "content": "Multiplication in Column Form"}, {"key": "147", "content": "Normalize first, then summarize"}, {"key": "148", "content": "Calculate the average directly"}, {"key": "149", "content": "Comprehensive Question - Standard Type"}, {"key": "150", "content": "Weighted Average"}, {"key": "151", "content": "Average Number Problem"}, {"key": "152", "content": "Fraction Addition and Subtraction"}, {"key": "153", "content": "Properties of Fractions"}, {"key": "154", "content": "The Meaning of Fractions"}, {"key": "155", "content": "Tree diagram"}, {"key": "156", "content": "Graphic period"}, {"key": "157", "content": "Ring operation cycle problem"}, {"key": "158", "content": "Period in a circumference"}, {"key": "159", "content": "Sequence pattern recognition and filling in numbers"}, {"key": "160", "content": "The Multiplication Rule of Odd and Even Numbers"}, {"key": "161", "content": "Quick calculation of integer multiplication by the distributive law"}, {"key": "162", "content": "Distributive Law of Clever Calculations in Integer Division"}, {"key": "163", "content": "The nature of business remains unchanged"}, {"key": "164", "content": "Clever Arithmetic with Integer Multiplication and Division"}, {"key": "165", "content": "Formula method for finding the area of a rectangle or square"}, {"key": "166", "content": "Sum and multiple of two quantities"}, {"key": "167", "content": "Double the amount"}, {"key": "168", "content": "Multiple and Times"}, {"key": "169", "content": "Practical Applications of Division"}, {"key": "170", "content": "Given the multiplicative relationship between two quantities and the sum of the two quantities, find the two quantities"}, {"key": "171", "content": "Given the multiple relationship between two quantities and one quantity, find multiple quantities"}, {"key": "172", "content": "Non-integer multiple difference remaining"}, {"key": "173", "content": "Submultiple deficiency less than an integer"}, {"key": "174", "content": "Large Margin"}, {"key": "175", "content": "Sum, Difference, and Multiples Problems"}, {"key": "176", "content": "Change is more than how many application problems"}, {"key": "177", "content": "Given the multiple relationship between two quantities and the difference between the two quantities, find the two quantities"}, {"key": "178", "content": "The Practical Application of Subtraction"}, {"key": "179", "content": "Integer difference times"}, {"key": "180", "content": "Dark difference type binary differential multiple problem"}, {"key": "181", "content": "Distinguish between big and small months"}, {"key": "182", "content": "Calculate the day of the week"}, {"key": "183", "content": "Method of Filling an Odd-Order Magic Square"}, {"key": "184", "content": "Date cycle in the rectangular number table"}, {"key": "185", "content": "Transforming Magic Cube"}, {"key": "186", "content": "Obtain information from statistical charts"}, {"key": "187", "content": "One-Stroke Drawing Judgment"}, {"key": "188", "content": "The application of one stroke drawing"}, {"key": "189", "content": "Unequal becomes equal (no picture)"}, {"key": "190", "content": "Standard Palace of Six"}, {"key": "191", "content": "Understanding right angles, acute angles, and obtuse angles"}, {"key": "192", "content": "Understanding of Angles"}, {"key": "193", "content": "The notation of decimals"}, {"key": "194", "content": "Comparing the magnitude of decimal numbers"}, {"key": "195", "content": "Vertical calculation of addition and subtraction of decimals"}, {"key": "196", "content": "Comparing decimals"}, {"key": "197", "content": "Decimal counting units (tenths place, hundredths place, thousandths place)"}, {"key": "198", "content": "Calculation of angles"}, {"key": "199", "content": "Using special angles to find degrees"}, {"key": "200", "content": "Basic problems with age and difference issues"}, {"key": "201", "content": "Classification and Enumeration Method for Number Figures"}, {"key": "202", "content": "Age and"}, {"key": "203", "content": "Sum of Ages Problem and Multiplication Type"}, {"key": "204", "content": "Four Mixed Operations"}, {"key": "205", "content": "Add and remove parentheses"}, {"key": "206", "content": "Mandatory Symbol Type"}, {"key": "207", "content": "24-point game"}, {"key": "208", "content": "Basic types of profit and loss issues"}, {"key": "209", "content": "Special points or areas"}, {"key": "210", "content": "Profit and loss issue"}, {"key": "211", "content": "Just finished dividing"}, {"key": "212", "content": "Loss Issue"}, {"key": "213", "content": "Addition Decomposition (Specified Amount)"}, {"key": "214", "content": "Addition Decomposition (Application)"}, {"key": "215", "content": "Distribute items to a given number of people"}, {"key": "216", "content": "Addition Decomposition (Non-identical Numbers)"}, {"key": "217", "content": "Numbers in breakdown can be repeated"}, {"key": "218", "content": "Permutation number"}, {"key": "219", "content": "Unlimited"}, {"key": "220", "content": "Addition and Subtraction for Rounding Comprehensive"}, {"key": "221", "content": "Clear and Not Clear"}, {"key": "222", "content": "Queueing Problem"}, {"key": "223", "content": "Other types in the addition principle"}, {"key": "224", "content": "Simple Application Problems Solved by Setting Up Equations"}, {"key": "225", "content": "Formula for the area of a parallelogram"}, {"key": "226", "content": "Understanding the base and height of a parallelogram"}, {"key": "227", "content": "Formula for calculating the area of a parallelogram"}, {"key": "228", "content": "Number of Increases (Number of Decreases)"}, {"key": "229", "content": "Matchstick Arrangement Numbers"}, {"key": "230", "content": "Matchstick Equation Setup"}, {"key": "231", "content": "Subtraction column puzzle"}, {"key": "232", "content": "Addition Vertical Puzzle"}, {"key": "233", "content": "Multiplication Commutative Property"}, {"key": "234", "content": "Integer multiplication operation"}, {"key": "235", "content": "Multiplication Associative Law"}, {"key": "236", "content": "Mixed operations of integers"}, {"key": "237", "content": "Construction of Distribution Law by Decomposition Method"}, {"key": "238", "content": "Not equal becomes more unequal (even more after giving)"}, {"key": "239", "content": "Age difference"}, {"key": "240", "content": "Age Axis"}, {"key": "241", "content": "Rectangle"}, {"key": "242", "content": "Comprehensive Transformation"}, {"key": "243", "content": "Item Matching (Special Requirements)"}, {"key": "244", "content": "Multiplication Principle"}, {"key": "245", "content": "Basic Applications of Permutation"}, {"key": "246", "content": "Permutation and Combination"}, {"key": "247", "content": "Rule-based cut and paste pattern (no grid)"}, {"key": "248", "content": "Mixed Operations of Multiplication and Division with Integers"}, {"key": "249", "content": "Standard Type"}, {"key": "250", "content": "Finding Pattern to Define New Operations"}, {"key": "251", "content": "Basic Operations of Gaussian Notation"}, {"key": "252", "content": "Finding the Number of Terms in an Arithmetic Sequence"}, {"key": "253", "content": "Practical Application of Arithmetic Sequences"}, {"key": "254", "content": "Pattern of Graphics"}, {"key": "255", "content": "Arithmetic Sequence"}, {"key": "256", "content": "Other dyeing"}, {"key": "257", "content": "Basic problems of solid phalanx"}, {"key": "258", "content": "Increase and decrease of solid square formation"}, {"key": "259", "content": "Square matrix problem"}, {"key": "260", "content": "Hollow Square Formation Basic Problems"}, {"key": "261", "content": "Increase and decrease of an empty square formation"}, {"key": "262", "content": "Knockout"}, {"key": "263", "content": "Single Round-Robin Tournament"}, {"key": "264", "content": "2-1-0 Credit System"}, {"key": "265", "content": "Problems of more and less"}, {"key": "266", "content": "Four Quantity Relationships in Division"}, {"key": "267", "content": "Doubling problem"}, {"key": "268", "content": "Know less, ask for more"}, {"key": "269", "content": "Word problems involving solutions to systems of linear equations with integer coefficients"}, {"key": "270", "content": "The result obtained by copying the wrong number, asking for the correct one"}, {"key": "271", "content": "Cyclical problems in time"}, {"key": "272", "content": "Consolidated issues"}, {"key": "273", "content": "Hidden conditions"}, {"key": "274", "content": "Legs doubly shaped"}, {"key": "275", "content": "Solve the problem of deformed chickens and rabbits in the same cage using the grouping method"}, {"key": "276", "content": "Head magnified type"}, {"key": "277", "content": "Formula Method"}, {"key": "278", "content": "Formula method to calculate the meeting time"}, {"key": "279", "content": "Single-person gear-shifting problem"}, {"key": "280", "content": "Simultaneously start from the same place, return, and meet"}, {"key": "281", "content": "A model of half of any quadrilateral"}, {"key": "282", "content": "The issue of two people meeting and pursuing"}, {"key": "283", "content": "Divisibility characteristic of the harmony series"}, {"key": "284", "content": "Addition and subtraction of multi-digit numbers"}, {"key": "285", "content": "Multiplication of multi-digit numbers"}, {"key": "286", "content": "Constructing Distribution Law via Integer Partition Method"}, {"key": "287", "content": "Integrate and make up the whole"}, {"key": "288", "content": "Spatial Relationship"}, {"key": "289", "content": "Cup Flipping Problem"}, {"key": "290", "content": "Simple Time Scheduling Problem"}, {"key": "291", "content": "Each point is not equivalent"}, {"key": "292", "content": "Train passing person"}, {"key": "293", "content": "Multiple People Meeting Pursuit Problem"}, {"key": "294", "content": "Item substitution"}, {"key": "295", "content": "Given the multiple difference (more or less) and the total of two quantities, find the value of one portion"}, {"key": "296", "content": "Given the multiple (more or less) and an amount between two quantities, find the multiple amounts"}, {"key": "297", "content": "Equation Basics"}, {"key": "298", "content": "Apply equations to solve application problems in the form of profit and loss issues"}, {"key": "299", "content": "Ladder-type Index Method"}, {"key": "300", "content": "Enumerate all possible routes"}, {"key": "301", "content": "Ordered Enumeration"}, {"key": "302", "content": "Five Palaces Sudoku"}, {"key": "303", "content": "Permutations and Combinations"}, {"key": "304", "content": "Passing and progressive play"}, {"key": "305", "content": "Inclusion-Exclusion Principle to Find the Average"}, {"key": "306", "content": "Number of number groups (repetitions allowed)"}, {"key": "307", "content": "Cycle issue"}, {"key": "308", "content": "Application of Division"}, {"key": "309", "content": "Individual work using formula to calculate efficiency"}, {"key": "310", "content": "Sawing wood type problem"}, {"key": "311", "content": "Tree planting types problem at both ends (number of segments is less than or equal to 10)"}, {"key": "312", "content": "Calculate the number of digits formed by enumerating several numbers"}, {"key": "313", "content": "General Group Problem"}, {"key": "314", "content": "Payment Method Enumeration"}, {"key": "315", "content": "Given the individual numbers, find the average"}, {"key": "316", "content": "Addition and subtraction of fractions with different denominators"}, {"key": "317", "content": "Common denominator"}, {"key": "318", "content": "Integer Multiplication Associative Law"}, {"key": "319", "content": "Integer uses the property of invariance of product/quotient"}, {"key": "320", "content": "Area Unit Conversion"}, {"key": "321", "content": "Length Unit Conversion"}, {"key": "322", "content": "Practical Applications of Addition"}, {"key": "323", "content": "Problems of Doubling and Multiplication"}, {"key": "324", "content": "Multiple and Exponential Problems"}, {"key": "325", "content": "Difference squared"}, {"key": "326", "content": "Square Perimeter Formula"}, {"key": "327", "content": "Computing Module"}, {"key": "328", "content": "Cycle in Time"}, {"key": "329", "content": "Query of what day of the week a certain date is"}, {"key": "330", "content": "Magic Square Numerical Relationship"}, {"key": "331", "content": "Selection Calculation Type"}, {"key": "332", "content": "Even Order Magic Square Filling Method"}, {"key": "333", "content": "Calculate the average"}, {"key": "334", "content": "Combination module"}, {"key": "335", "content": "Multiple Stroke Application"}, {"key": "336", "content": "Variation question"}, {"key": "337", "content": "Solve the inverted chicken-rabbit together cage problem using the hypothesis method"}, {"key": "338", "content": "Geometry Module"}, {"key": "339", "content": "Solve the problem of mixed shapes of chicken and rabbits in the same cage using the method of hypothesis"}, {"key": "340", "content": "Understanding decimals"}, {"key": "341", "content": "Vertical subtraction"}, {"key": "342", "content": "Vertical addition"}, {"key": "343", "content": "Understanding of Numbers, Numerals, and Digits"}, {"key": "344", "content": "Judging Angles"}, {"key": "345", "content": "transformation substitution"}, {"key": "346", "content": "Equivalent Relationship"}, {"key": "347", "content": "Equal Quantity Substitution Transfer Type"}, {"key": "348", "content": "Substitution Operation"}, {"key": "349", "content": "Alphabetic Numeration"}, {"key": "350", "content": "Express the quantitative relationship in letters (a+bx)"}, {"key": "351", "content": "Expressing quantitative relationships with letters (ax\uff0bbx)"}, {"key": "352", "content": "Profound question"}, {"key": "353", "content": "Multiplication Decomposition"}, {"key": "354", "content": "Multiplication Decomposition (Application)"}, {"key": "355", "content": "Application of Integer Partition"}, {"key": "356", "content": "Fill in symbols on both sides"}, {"key": "357", "content": "Addition Decomposition (No Requirements)"}, {"key": "358", "content": "Extract the common factor"}, {"key": "359", "content": "Seeking Darkness"}, {"key": "360", "content": "Practical application of combining numbers and shapes"}, {"key": "361", "content": "Use formula method to find the area of a triangle"}, {"key": "362", "content": "Triangle Area"}, {"key": "363", "content": "Division with remainder"}, {"key": "364", "content": "The relationship between remainder and divisor"}, {"key": "365", "content": "Perimeter definition"}, {"key": "366", "content": "Find the perimeter given the side length"}, {"key": "367", "content": "Group problems with special requirements"}, {"key": "368", "content": "Find the cyclic pattern in the calendar"}, {"key": "369", "content": "Distinguishing Leap Years from Common Years"}, {"key": "370", "content": "Dark double type binary difference problem"}, {"key": "371", "content": "Draw a statistical table"}, {"key": "372", "content": "Calculation of the area of a rectangle after changing the side length"}, {"key": "373", "content": "Formula for calculating rectangle area"}, {"key": "374", "content": "Multiple strokes change to one stroke"}, {"key": "375", "content": "Double Entry Statistical Table"}, {"key": "376", "content": "Total price = Unit price \u00d7 Quantity"}, {"key": "377", "content": "Addition and subtraction applications"}, {"key": "378", "content": "Foundations of Factors and Multiples"}, {"key": "379", "content": "Provide calculation method and result, seeking the beginning"}, {"key": "380", "content": "Using special angles to find angles"}, {"key": "381", "content": "Sequence Pattern"}, {"key": "382", "content": "The rule of moving decimal points"}, {"key": "383", "content": "Movement of the Decimal Point"}, {"key": "384", "content": "Conversion of Yuan, Jiao, and Fen units"}, {"key": "385", "content": "Finding Patterns through Combination of Numbers and Graphs (Multiple Graphs)"}, {"key": "386", "content": "Classification Graphics"}, {"key": "387", "content": "Basic types of profit and loss"}, {"key": "388", "content": "Clever Calculation of Integer Addition and Subtraction: Grouping Method"}, {"key": "389", "content": "Integer Benchmark Method"}, {"key": "390", "content": "Properties of Integer Subtraction"}, {"key": "391", "content": "Mental arithmetic of two-digit numbers minus a whole ten"}, {"key": "392", "content": "Combination number"}, {"key": "393", "content": "The greatest common divisor of multiple numbers"}, {"key": "394", "content": "Overall concept for area calculation"}, {"key": "395", "content": "Pictographic Subtraction Vertical Numeric Puzzle"}, {"key": "396", "content": "Vertical Numeral Puzzle"}, {"key": "397", "content": "Integer complement construction"}, {"key": "398", "content": "Integers directly apply the distributive law"}, {"key": "399", "content": "Classification of straight lines, rays, and line segments"}, {"key": "400", "content": "Understanding of Line Segments, Lines, and Rays"}, {"key": "401", "content": "The contrast between light and dark"}, {"key": "402", "content": "Straight Line and Intersection Point"}, {"key": "403", "content": "Combining Numbers and Diagrams to Find Patterns (Single Diagram)"}, {"key": "404", "content": "Hollow Square Matrix Comprehensive Problems"}, {"key": "405", "content": "Solid Square Array Comprehensive Problem"}, {"key": "406", "content": "Determining leap and common years for non-centennial years"}, {"key": "407", "content": "Application Problems Module"}, {"key": "408", "content": "Object transformed into an item"}, {"key": "409", "content": "Comprehensive Divisibility Characteristics"}, {"key": "410", "content": "Understanding Multiples"}, {"key": "411", "content": "Characteristics of multiples of 2"}, {"key": "412", "content": "Multiple of 5 characteristics"}, {"key": "413", "content": "Operation Law"}, {"key": "414", "content": "Several times"}, {"key": "415", "content": "Age-related Multiplicative Variant"}, {"key": "416", "content": "Gradually adjust thinking"}, {"key": "417", "content": "Idea of combining numbers and shapes"}, {"key": "418", "content": "Digital operation"}, {"key": "419", "content": "Inverse Unknown Type"}, {"key": "420", "content": "Basic problems of triangular arrays"}, {"key": "421", "content": "Time optimization for multiple people doing one task"}, {"key": "422", "content": "Equivalent at all points"}, {"key": "423", "content": "Payment Method under Discounts"}, {"key": "424", "content": "Simple Pigeonhole Principle"}, {"key": "425", "content": "The least favorable principle"}, {"key": "426", "content": "Constructive Pigeonhole Principle"}, {"key": "427", "content": "Graphic Sudoku"}, {"key": "428", "content": "Rent boats, rent cars, both large and small vehicles at the most suitable prices"}, {"key": "429", "content": "The idea of integrating numbers and shapes"}, {"key": "430", "content": "Multiplication Application Problems"}, {"key": "431", "content": "Number of digits"}, {"key": "432", "content": "Average Score"}, {"key": "433", "content": "Inverse Proportion in the Itinerary"}, {"key": "434", "content": "And unchanged"}, {"key": "435", "content": "3-1-0 Credit System"}, {"key": "436", "content": "Calculation of money"}, {"key": "437", "content": "Find the unit corresponding to the rate of quantity 1"}, {"key": "438", "content": "Square sequence"}, {"key": "439", "content": "Integer geometric sequence"}, {"key": "440", "content": "Fibonacci Sequence Recursion"}, {"key": "441", "content": "Graphic Facet Recursion"}, {"key": "442", "content": "Parallelogram"}, {"key": "443", "content": "Hierarchical division and iterative progression"}, {"key": "444", "content": "Cut the pizza"}, {"key": "445", "content": "Second-level arithmetic sequence"}, {"key": "446", "content": "Find patterns by combining numbers and shapes"}, {"key": "447", "content": "Area of a parallelogram"}, {"key": "448", "content": "Understanding Quadrilaterals"}, {"key": "449", "content": "Basic Variable Magnification"}, {"key": "450", "content": "Both quantities change by the same multiple"}, {"key": "451", "content": "Application of Trapezoid Area Formula"}, {"key": "452", "content": "Graphic Equal Division"}, {"key": "453", "content": "Multi-person meeting problem"}, {"key": "454", "content": "Inductive Reasoning"}, {"key": "455", "content": "Zoom problem"}, {"key": "456", "content": "Logical reasoning"}, {"key": "457", "content": "Solving the problem of chickens and rabbits in the same cage by the method of assumption"}, {"key": "458", "content": "Structure and Argumentation"}, {"key": "459", "content": "Application of Difference Divisibility Characteristics"}, {"key": "460", "content": "The extremum in the tail number system"}, {"key": "461", "content": "Divisibility characteristics of basic composite numbers"}, {"key": "462", "content": "Two distributions have different targets"}, {"key": "463", "content": "Solving Proportional Problems by Equation Method"}, {"key": "464", "content": "Graphic translation and rotation"}, {"key": "465", "content": "Complex proportion problem"}, {"key": "466", "content": "Finding the Perimeter of a Compound Irregular Shape"}, {"key": "467", "content": "Solve Profit and Loss Problems by Equation Method"}, {"key": "468", "content": "Reverse type"}, {"key": "469", "content": "Understanding of Triangles"}, {"key": "470", "content": "Closed Route Tree Planting Problem"}, {"key": "471", "content": "Route Traversal"}, {"key": "472", "content": "Properties of Decimals"}, {"key": "473", "content": "Rules for Reading and Writing Decimals"}, {"key": "474", "content": "Decimal counting unit"}, {"key": "475", "content": "Multiple strokes"}, {"key": "476", "content": "Simple Multiplication Tricks"}, {"key": "477", "content": "Number of digital groups (specified digit size)"}, {"key": "478", "content": "Preferential Limit Method"}, {"key": "479", "content": "Splitting and Splicing"}, {"key": "480", "content": "Careless Error Question Types"}, {"key": "481", "content": "Parity of Sums"}, {"key": "482", "content": "Data Processing"}, {"key": "483", "content": "Directly apply the formula to calculate the quantity"}, {"key": "484", "content": "Statistical charts"}, {"key": "485", "content": "Triangle three sides relationship (the sum of two sides is greater than the third side)"}, {"key": "486", "content": "Isosceles triangle"}, {"key": "487", "content": "Sum of interior angles of a polygon"}, {"key": "488", "content": "Integer division operation"}, {"key": "489", "content": "Multiple Times"}, {"key": "490", "content": "Given the multiple relationship between two quantities and multiple portions, find one portion"}, {"key": "491", "content": "Magic Square"}, {"key": "492", "content": "Inverse use of the formula for the area of a parallelogram"}, {"key": "493", "content": "Estimation in division with remainder"}, {"key": "494", "content": "Categorization and Discussion Ideas"}, {"key": "495", "content": "Turning inequality into equality (with diagrams)"}, {"key": "496", "content": "Given face value, find possible compositions"}, {"key": "497", "content": "The Meaning of Division"}, {"key": "498", "content": "Recognizing Unit 1"}, {"key": "499", "content": "Four-Quadrant Killer Sudoku"}, {"key": "500", "content": "Graphic folding and unfolding"}, {"key": "501", "content": "The number of groups formed by adding plus signs between adjacent digits"}, {"key": "502", "content": "Using translation to find the perimeter of composite shapes"}, {"key": "503", "content": "Product Principle"}, {"key": "504", "content": "Application of the Parallelogram Area Formula"}, {"key": "505", "content": "Solving Other Problems Using Equation Method"}, {"key": "506", "content": "Handshake and Toasting Problem"}, {"key": "507", "content": "Properties of Integer Division"}, {"key": "508", "content": "Formula for calculating the area of a square"}, {"key": "509", "content": "The inverse use of the formula for the area of a square"}, {"key": "510", "content": "Dark multiple type and multiple problem"}, {"key": "511", "content": "Question about what day of the week it will be in a few days"}, {"key": "512", "content": "accumulate magic cube"}, {"key": "513", "content": "Single Object Line Chart"}, {"key": "514", "content": "Compound Line Statistical Chart"}, {"key": "515", "content": "Area Calculation of Chord Diagram"}, {"key": "516", "content": "Find area by rotational addition"}, {"key": "517", "content": "Addition operation of decimals"}, {"key": "518", "content": "Comparing the Size of Decimals"}, {"key": "519", "content": "Interior and exterior angles of a triangle"}, {"key": "520", "content": "corner"}, {"key": "521", "content": "Related to multiples"}, {"key": "522", "content": "Sum and Difference Problems"}, {"key": "523", "content": "Summation of a truncated arithmetic sequence"}, {"key": "524", "content": "Representing the quantitative relationship with letters ax"}, {"key": "525", "content": "Power of a product"}, {"key": "526", "content": "Skillfully fill in the calculation symbols"}, {"key": "527", "content": "Square area"}, {"key": "528", "content": "Composition and reading and writing of numbers within 1000"}, {"key": "529", "content": "Clever Addition and Subtraction of Whole Numbers by Making Whole Numbers"}, {"key": "530", "content": "Comparing the Magnitude of Decimals"}, {"key": "531", "content": "Direct Angle Calculation"}, {"key": "532", "content": "Use equations in the form of sum, difference, and product to solve application problems"}, {"key": "533", "content": "Simple periodic law"}, {"key": "534", "content": "Ask for the lonely number"}, {"key": "535", "content": "Solving the problem of chicken and rabbit in the same cage using the method of assumption"}, {"key": "536", "content": "Understanding of Fractions without Simplification"}, {"key": "537", "content": "Unit Conversion"}, {"key": "538", "content": "Convert decimals to fractions"}, {"key": "539", "content": "Convert fractions to decimals"}, {"key": "540", "content": "Decimal Addition and Subtraction"}, {"key": "541", "content": "Decomposing and Rounding Off Decimals"}, {"key": "542", "content": "Finding the Angle Given Time"}, {"key": "543", "content": "Count angles"}, {"key": "544", "content": "Equilateral Triangle Counting"}, {"key": "545", "content": "Grid Point Structure Number Graphics"}, {"key": "546", "content": "Triangle Counting"}, {"key": "547", "content": "Age difference remains unchanged"}, {"key": "548", "content": "Exponentiation"}, {"key": "549", "content": "Multiplication operation of exponents"}, {"key": "550", "content": "Complete Square Formula"}, {"key": "551", "content": "Principle of Place Value in Skillful Addition and Subtraction of Decimals"}, {"key": "552", "content": "Direct application of the difference of squares formula"}, {"key": "553", "content": "Inverse application of the difference of squares formula"}, {"key": "554", "content": "Integral substitution method"}, {"key": "555", "content": "Given a small cell, find the perimeter"}, {"key": "556", "content": "Seeking a multiple relationship"}, {"key": "557", "content": "Use the multiplication table of 2 to 5 to find the quotient"}, {"key": "558", "content": "Concepts and Classification of Parallelograms"}, {"key": "559", "content": "Arithmetic multiplication: Two-digit number times two-digit number (without carrying)"}, {"key": "560", "content": "Use the multiplication table of 6 to find the quotient"}, {"key": "561", "content": "Non-digital arrangement"}, {"key": "562", "content": "Pen calculation multiplication: Two-digit number times two-digit number (carry over)"}, {"key": "563", "content": "Three-digit number times two-digit number"}, {"key": "564", "content": "Mental arithmetic multiplication: Three-digit number times two-digit number"}, {"key": "565", "content": "Closed tree planting problem (number of segments is less than or equal to 10)"}, {"key": "566", "content": "Inequality becomes inequality (still short after giving enough)"}, {"key": "567", "content": "Two-amount sum and difference problem"}, {"key": "568", "content": "Remainder problem with division with remainder"}, {"key": "569", "content": "Integer division"}, {"key": "570", "content": "Almost the same"}, {"key": "571", "content": "Judgment of Multiple Strokes"}, {"key": "572", "content": "Solve application problems using equations in the form of age issues"}, {"key": "573", "content": "Mixed operation of exponentiation"}, {"key": "574", "content": "Represent operation laws and calculation formulas with letters"}, {"key": "575", "content": "Multiple Sequences"}, {"key": "576", "content": "Enumeration method"}, {"key": "577", "content": "Multi-digit number divided by multi-digit number"}, {"key": "578", "content": "Graphic translation"}, {"key": "579", "content": "Assuming method to judge true or false"}, {"key": "580", "content": "The Correspondence Problem between Numbers and Page Numbers"}, {"key": "581", "content": "Application of Number of Digits"}, {"key": "582", "content": "Procedural Computing"}, {"key": "583", "content": "Mental Arithmetic Multiplication: Hundreds Times a Single Digit"}, {"key": "584", "content": "Application of Special Integer Numbers"}, {"key": "585", "content": "The Relationship Between Trees and The Number of Intervals"}, {"key": "586", "content": "No trees planted at both ends type of problem (number of segments greater than 10)"}, {"key": "587", "content": "Preliminary Understanding of Plane Figures"}, {"key": "588", "content": "Characteristics of square corners"}, {"key": "589", "content": "Regular shapes puzzle regular shapes"}, {"key": "590", "content": "Basic Applications of Combination"}, {"key": "591", "content": "Change one of the numbers and find the new average"}, {"key": "592", "content": "Seek one unit corresponding to the rate of quantity"}, {"key": "593", "content": "Simplest fraction"}, {"key": "594", "content": "Addition of Fractions with Different Denominators"}, {"key": "595", "content": "A fraction of the whole"}, {"key": "596", "content": "Cut the rope"}, {"key": "597", "content": "Graphic repetition"}, {"key": "598", "content": "Grid type"}, {"key": "599", "content": "Quadrant Area Deformation"}, {"key": "600", "content": "Simple Sudoku Game"}, {"key": "601", "content": "Group arithmetic formulas within 20"}, {"key": "602", "content": "Mixed Addition and Subtraction of Decimals"}, {"key": "603", "content": "In-table Division Calculation"}, {"key": "604", "content": "One type of tree planting problem (the number of segments is less than or equal to 10)"}, {"key": "605", "content": "Symmetry type games"}, {"key": "606", "content": "Properties of Equations"}, {"key": "607", "content": "Conversion of units among square centimeters, square decimeters, and square meters"}, {"key": "608", "content": "\u201cStandard\u201d character method for recording data"}, {"key": "609", "content": "Given changes in length and width, calculate the change in area"}, {"key": "610", "content": "Count the number of line segments"}, {"key": "611", "content": "Integer multiplication distributive law"}, {"key": "612", "content": "The concept of arithmetic progression"}, {"key": "613", "content": "Skillfully Fill in the Parentheses Type"}, {"key": "614", "content": "Remainder Characteristics"}, {"key": "615", "content": "Mental Arithmetic Multiplication: Two-digit number times two-digit number (without carrying)"}, {"key": "616", "content": "Know 0"}, {"key": "617", "content": "Given the time to saw into certain sections, calculate the time to saw into different number of sections"}, {"key": "618", "content": "Dictionary ordering method"}, {"key": "619", "content": "Simple cycle calculation"}, {"key": "620", "content": "Understanding Area Units"}, {"key": "621", "content": "Contour model is being used multiple times"}, {"key": "622", "content": "Judgment of Parallelograms"}, {"key": "623", "content": "Reverse thinking"}, {"key": "624", "content": "Line Graph"}, {"key": "625", "content": "Geometric Counting of Principle of Inclusion and Exclusion in Large Quantities"}, {"key": "626", "content": "Addition and Subtraction Rhymes"}, {"key": "627", "content": "Sum of the interior angles of a polygon"}, {"key": "628", "content": "Finding perimeter using translation method"}, {"key": "629", "content": "Use rounding down according to the actual situation"}, {"key": "630", "content": "Polynomial combined with graphical area"}, {"key": "631", "content": "One-sided Tree Planting Issue"}, {"key": "632", "content": "Problem of not planting trees at both ends"}, {"key": "633", "content": "Tree planting on both ends and both sides issue of planting the same type"}, {"key": "634", "content": "Comparison of Fractions without Simplification"}, {"key": "635", "content": "A type of tree planting problem (number of sections greater than 10)"}, {"key": "636", "content": "Chickens and Rabbits in the Same Cage problem"}, {"key": "637", "content": "Twice assumptions"}, {"key": "638", "content": "Special Number Series"}, {"key": "639", "content": "Arithmetic Progression and Estimation"}, {"key": "640", "content": "Pen and paper division: three-digit number divided by a two-digit number"}, {"key": "641", "content": "Only add or subtract in the equation"}, {"key": "642", "content": "Find Factors from Known Product"}, {"key": "643", "content": "Other graphic divisions"}, {"key": "644", "content": "True and false words"}, {"key": "645", "content": "Use list method to find correspondences"}, {"key": "646", "content": "Adding-line counting method"}, {"key": "647", "content": "Extracting common factors in multiple numbers"}, {"key": "648", "content": "Operations and digit sums of multi-digit numbers"}, {"key": "649", "content": "Finding the Number at a Known Position in an Arithmetic Sequence Rectangle Table"}, {"key": "650", "content": "Finding the Position of Known Numbers in an Arithmetic Sequence Rectangle Table"}, {"key": "651", "content": "Cancellative Counting"}, {"key": "652", "content": "Half model of a rectangle"}, {"key": "653", "content": "Comprehensive Application of Area Formulas"}, {"key": "654", "content": "Application of Triangle Area Formula"}, {"key": "655", "content": "One Stroke Drawing"}, {"key": "656", "content": "Standard Four Palaces"}, {"key": "657", "content": "Integer addition operation"}, {"key": "658", "content": "Addition and Subtraction Cancellation Method"}, {"key": "659", "content": "Utilize the parity rule to construct equations"}, {"key": "660", "content": "Solve the equation: ax + b = c of this type"}, {"key": "661", "content": "Fundamental Issues Related to Age"}, {"key": "662", "content": "Geometric thought translation"}, {"key": "663", "content": "Geometric thought rotation"}, {"key": "664", "content": "Area of an irregular polygon"}, {"key": "665", "content": "The Practical Application of Multiplication"}, {"key": "666", "content": "Concurrent issues"}, {"key": "667", "content": "Fraction Decomposition"}, {"key": "668", "content": "General Term Induction"}, {"key": "669", "content": "Determining Points on a Line by Recursion"}, {"key": "670", "content": "Trapezoid area"}, {"key": "671", "content": "Operational Issues"}, {"key": "672", "content": "The number of split numbers is uncertain"}, {"key": "673", "content": "Touch the small ball"}, {"key": "674", "content": "Addition Decomposition (Specific Number)"}, {"key": "675", "content": "The practical application of point-line arrangement"}, {"key": "676", "content": "The Extreme Value of Point-Line Arrangement"}, {"key": "677", "content": "Inclusion and exclusion criteria (non-overlapping)"}, {"key": "678", "content": "Overall problem"}, {"key": "679", "content": "Water ingress and drainage issues"}, {"key": "680", "content": "Transform into a vegetable garden, issues related to the perimeter of fences and the like"}, {"key": "681", "content": "Procedural"}, {"key": "682", "content": "Graphic cognition angle"}, {"key": "683", "content": "Counting and number puzzles"}, {"key": "684", "content": "Enumeration thought"}, {"key": "685", "content": "Contour models are being used for the first time"}, {"key": "686", "content": "With a basket (bucket, bottle, etc.) including the items inside (without considering the weight of the basket, bucket, bottle, etc.)"}, {"key": "687", "content": "The difference between darkness and light"}, {"key": "688", "content": "Cut, complement, and translate to find the area of the polygon"}, {"key": "689", "content": "Point sure line recursion"}, {"key": "690", "content": "Rectangular formation total number request"}, {"key": "691", "content": "Basic problems of hexagonal array"}, {"key": "692", "content": "Venn Diagram"}, {"key": "693", "content": "Using equations to solve application problems in the form of word problems"}, {"key": "694", "content": "2-0 Points System"}, {"key": "695", "content": "Sequence manipulation periodicity problem"}, {"key": "696", "content": "Application of Exponentiation"}, {"key": "697", "content": "Asking what the nth number is"}, {"key": "698", "content": "Straight-line distance problem"}, {"key": "699", "content": "Specific quantity engineering problem"}, {"key": "700", "content": "Difference Divisibility Characteristic"}, {"key": "701", "content": "Application of Divisibility Characteristics of Last Digits"}, {"key": "702", "content": "Judgment of Odd and Even Numbers"}, {"key": "703", "content": "Overlapping straight line type"}, {"key": "704", "content": "Basic Decimal"}, {"key": "705", "content": "Other Variant Sudoku"}, {"key": "706", "content": "Application problems of solving multivariable linear equations"}, {"key": "707", "content": "Solving the problem of chickens and rabbits in the same cage using the grouping method"}, {"key": "708", "content": "Black and White Dyeing"}, {"key": "709", "content": "In-table multiplication calculation"}, {"key": "710", "content": "Multi-digit numbers divided by a single-digit number"}, {"key": "711", "content": "Understanding Multiplication"}, {"key": "712", "content": "Miss the train"}, {"key": "713", "content": "Two encounters"}, {"key": "714", "content": "Changes in the perimeter of a long rectangle cut and pieced together"}, {"key": "715", "content": "Apply the method according to the actual situation"}, {"key": "716", "content": "Multiplicativity of Remainders"}, {"key": "717", "content": "The mutual transformation between parallelogram and trapezoid"}, {"key": "718", "content": "Comprehensive Properties of Remainders"}, {"key": "719", "content": "Area"}, {"key": "720", "content": "Inverse-duplication monosomy problem"}, {"key": "721", "content": "Overlapping Set Type"}, {"key": "722", "content": "Matchstick games"}, {"key": "723", "content": "Application of the Maximum Principle in Geometry"}, {"key": "724", "content": "Number of card packs drawn"}, {"key": "725", "content": "Given the total, find the average"}, {"key": "726", "content": "Multiplication Sequence"}, {"key": "727", "content": "Addition and Subtraction Combined"}, {"key": "728", "content": "Number arrangement pattern"}, {"key": "729", "content": "Application of Division Characteristics of Composite Numbers"}, {"key": "730", "content": "Application problems of indeterminate equations"}, {"key": "731", "content": "Conversion between horizontal and vertical formats"}, {"key": "732", "content": "Multiplication of 7"}, {"key": "733", "content": "Division involving 0 in the middle"}, {"key": "734", "content": "Pen and paper division: Two-digit number divided by a one-digit number"}, {"key": "735", "content": "Mental Division: Two-digit number divided by a single-digit number"}, {"key": "736", "content": "Accumulative Invariance Property"}, {"key": "737", "content": "Classification of Fractions"}, {"key": "738", "content": "Split the difference directly between two fractions"}, {"key": "739", "content": "Last digit"}, {"key": "740", "content": "Construct parallel lines"}, {"key": "741", "content": "decimal"}, {"key": "742", "content": "Arithmetic operations of decimals"}, {"key": "743", "content": "Contour model"}, {"key": "744", "content": "Extreme Value Problems of Multiple Exclusion and Inclusion"}, {"key": "745", "content": "Corresponding Legal Numerical Graphics"}, {"key": "746", "content": "Meeting problem to find the speed of a party"}, {"key": "747", "content": "Encounter back and forth"}, {"key": "748", "content": "Graphic cognition parallelogram"}, {"key": "749", "content": "Transformed into a vegetable garden, issues with areas like fences"}, {"key": "750", "content": "Given a unit and a partial quantity, find the rate (percentage)"}, {"key": "751", "content": "Grouping method"}, {"key": "752", "content": "A square within a circle, a circle within a square"}, {"key": "753", "content": "Dark and slightly darker"}, {"key": "754", "content": "The maximum and minimum product of two numbers"}, {"key": "755", "content": "Method of Setting Numbers"}, {"key": "756", "content": "Set out at the same time, walking in opposite directions"}, {"key": "757", "content": "Variable magnification binomial difference magnification problem"}, {"key": "758", "content": "Multiplication Distributive Law"}, {"key": "759", "content": "Group combination"}, {"key": "760", "content": "Nail board art"}, {"key": "761", "content": "Coding"}, {"key": "762", "content": "Time Calculation"}, {"key": "763", "content": "Subtraction of multi-digit numbers"}, {"key": "764", "content": "Symbolic Mathematics Principles"}, {"key": "765", "content": "Understanding Unit of Length"}, {"key": "766", "content": "Given the current ages of two people, find how many years later (or before) one will be n times the other"}, {"key": "767", "content": "Understand the base and height of a trapezoid"}, {"key": "768", "content": "Given the unit one and the partial amount, seek the ratio"}, {"key": "769", "content": "Number of trailing zeros in the product"}, {"key": "770", "content": "Equilateral triangle"}, {"key": "771", "content": "Classification of triangles"}, {"key": "772", "content": "Solve the equation: a(x\uff0db)\uff1dc of this type"}, {"key": "773", "content": "Multiplication ending with 0"}, {"key": "774", "content": "Long division: a three-digit number divided by a single-digit number"}, {"key": "775", "content": "Additivity of remainders"}, {"key": "776", "content": "Finding the Rule in Remainders"}, {"key": "777", "content": "Classification of Plane Figures"}, {"key": "778", "content": "Conversion between single and multiple statistical tables"}, {"key": "779", "content": "The concept of a trapezoid"}, {"key": "780", "content": "direction"}, {"key": "781", "content": "Construct lattice"}, {"key": "782", "content": "Square and Rectangle"}, {"key": "783", "content": "Solid square formation"}, {"key": "784", "content": "Exponential Notation"}, {"key": "785", "content": "Integer Partition"}, {"key": "786", "content": "Distance Speed Time"}, {"key": "787", "content": "Remainder problem"}, {"key": "788", "content": "The top base, bottom base, and height of the trapezoid"}, {"key": "789", "content": "Replacement of a kind of object on each side of the scale"}, {"key": "790", "content": "Substitution of a balance with various objects on one side"}, {"key": "791", "content": "Converting text into algebraic substitution"}, {"key": "792", "content": "Equal substitution addition and subtraction type"}, {"key": "793", "content": "Including the basket (bucket, bottle, etc.) with its contents (considering the weight of the basket, bucket, bottle, etc.)"}, {"key": "794", "content": "Clip and Thumbtack Issues"}, {"key": "795", "content": "Subtraction horizontal format"}, {"key": "796", "content": "Enumeration of possible match scores"}, {"key": "797", "content": "The Calculation of Time"}, {"key": "798", "content": "Time unit conversion"}, {"key": "799", "content": "Combination of Numbers and Letters"}, {"key": "800", "content": "Take approximate value"}, {"key": "801", "content": "The relationship between the intermediate term, the first term, and the last term"}, {"key": "802", "content": "Standard Index Notation"}, {"key": "803", "content": "The extreme value in the cleverly filled calculation symbols"}, {"key": "804", "content": "Comprehensive Application of Properties of Parallelograms"}, {"key": "805", "content": "The area of a parallelogram symmetrically divided by its center"}, {"key": "806", "content": "Inverse use of contour models"}, {"key": "807", "content": "Bird head model"}, {"key": "808", "content": "Indeterminate Equation of Addition"}, {"key": "809", "content": "Comparative Logical Reasoning"}, {"key": "810", "content": "Given the length-width ratio, find the perimeter"}, {"key": "811", "content": "Conversion between Number Systems"}, {"key": "812", "content": "Number System Application"}, {"key": "813", "content": "Binary Operations of Multiplication and Division"}, {"key": "814", "content": "Chain reduction"}, {"key": "815", "content": "Fraction substitution method"}, {"key": "816", "content": "Complex fraction calculation"}, {"key": "817", "content": "Reduction as a whole"}, {"key": "818", "content": "Direct extraction of common factor/expression"}, {"key": "819", "content": "straight line"}, {"key": "820", "content": "Tree Planting Issue"}, {"key": "821", "content": "Make it a round number"}, {"key": "822", "content": "Use a set square and protractor to draw"}, {"key": "823", "content": "Draw the specified angle"}, {"key": "824", "content": "Find consensus (accomplice)"}, {"key": "825", "content": "Solving the problem of chickens and rabbits in the same cage using the equation method"}, {"key": "826", "content": "Counting module"}, {"key": "827", "content": "Clever Calculation Method for Adding and Subtracting Decimals by Grouping"}, {"key": "828", "content": "Subtract decimals with the same tail"}, {"key": "829", "content": "Direct substitution"}, {"key": "830", "content": "Decimal Base Number Method"}, {"key": "831", "content": "Parity Point Problem"}, {"key": "832", "content": "Application of \"amicable numbers\""}, {"key": "833", "content": "Horizontal movement (can draw)"}, {"key": "834", "content": "Ruled figure for cutting and piecing along the line (with grid)"}, {"key": "835", "content": "Difference times"}, {"key": "836", "content": "The extreme value of horizontal digital puzzles"}, {"key": "837", "content": "Basic Cooperation Issue"}, {"key": "838", "content": "Basic model"}, {"key": "839", "content": "Shift the excess and supplement the deficient"}, {"key": "840", "content": "Composition of different denominations given the total price"}, {"key": "841", "content": "Directly apply the formula to find the total price"}, {"key": "842", "content": "The quantity rate corresponds to the known unit 1"}, {"key": "843", "content": "Given the average of a portion, find the average of the whole"}, {"key": "844", "content": "Rectangular prism and cube"}, {"key": "845", "content": "Clever Calculation for Decimal Division: Extracting the Common Divisor (Standard Type)"}, {"key": "846", "content": "Hollow square formation"}, {"key": "847", "content": "Equivalent substitution replacement type"}, {"key": "848", "content": "Planar Geometry Processing"}, {"key": "849", "content": "Convert fractions to decimals"}, {"key": "850", "content": "Number Bridge"}, {"key": "851", "content": "Perimeter and Area of a Rhombus"}, {"key": "852", "content": "Recognizing the remaining directions based on one direction"}, {"key": "853", "content": "Two-digit number times a one-digit number (with continuous carry)"}, {"key": "854", "content": "Three-digit number multiplied by a one-digit number (multiplication involving a zero in the middle)"}, {"key": "855", "content": "Comparison and Choice Scheme for Group Tickets, Adult Tickets, and Student Tickets"}, {"key": "856", "content": "Estimation of division operation result"}, {"key": "857", "content": "Application of Multiplication and Division"}, {"key": "858", "content": "The pattern on the clock"}, {"key": "859", "content": "Age issue"}, {"key": "860", "content": "Finding the value of parameters from the solution of a quadratic equation"}, {"key": "861", "content": "Definition of a Quadratic Equation"}, {"key": "862", "content": "Find the value of the parameter defined by the quadratic equation"}, {"key": "863", "content": "Given the time to reach a certain floor, find the time to reach other floors"}, {"key": "864", "content": "Sum, difference, and sum-difference types of age problems"}, {"key": "865", "content": "Expanding Thinking"}, {"key": "866", "content": "Linear"}, {"key": "867", "content": "Geometric Ideas and Methods"}, {"key": "868", "content": "Irregular quadrilateral"}, {"key": "869", "content": "Rectangle and Square"}, {"key": "870", "content": "In-class Question Types"}, {"key": "871", "content": "Space and Geometry"}, {"key": "872", "content": "Geometric figures"}, {"key": "873", "content": "Quadrilateral"}, {"key": "874", "content": "Seven Major Abilities"}, {"key": "875", "content": "Knowledge Point"}, {"key": "876", "content": "Conditional logic reasoning"}, {"key": "877", "content": "Assumed Logical Reasoning"}, {"key": "878", "content": "Mathematics Wide Angle"}, {"key": "879", "content": "Reasoning"}, {"key": "880", "content": "Integer"}, {"key": "881", "content": "Integral construction extraction"}, {"key": "882", "content": "The law of integer distribution"}, {"key": "883", "content": "Integer multiplication and division"}, {"key": "884", "content": "Math Game"}, {"key": "885", "content": "Geometric Counting"}, {"key": "886", "content": "Multiplication Counting"}, {"key": "887", "content": "Enumeration and Counting of Standard Figures"}, {"key": "888", "content": "Closed type"}, {"key": "889", "content": "Enclosed Planting Problem"}, {"key": "890", "content": "Both ends are straight"}, {"key": "891", "content": "Application problems"}, {"key": "892", "content": "Tree planting application problem"}, {"key": "893", "content": "Integrated and Practical"}, {"key": "894", "content": "Straight line with no ends at both sides"}, {"key": "895", "content": "Itinerary module"}, {"key": "896", "content": "In-class Knowledge Points"}, {"key": "897", "content": "Measurement"}, {"key": "898", "content": "Perimeter"}, {"key": "899", "content": "Comprehensive Application Problems"}, {"key": "900", "content": "Total price issue"}, {"key": "901", "content": "Analysis of data"}, {"key": "902", "content": "Data collection and organization"}, {"key": "903", "content": "Data Organization"}, {"key": "904", "content": "Statistics and Probability"}, {"key": "905", "content": "Issue of mapping specific numbers to page numbers"}, {"key": "906", "content": "Understanding of Graphics"}, {"key": "907", "content": "Understanding Plane Figures"}, {"key": "908", "content": "Preliminary Understanding of Quadrilaterals"}, {"key": "909", "content": "Understanding Trapezoids"}, {"key": "910", "content": "Graphical Recognition Trapezoid"}, {"key": "911", "content": "Travel Application Problems"}, {"key": "912", "content": "Understanding Parallelograms"}, {"key": "913", "content": "Pursuing the issue"}, {"key": "914", "content": "Encounter Problem"}, {"key": "915", "content": "Number Theory Module"}, {"key": "916", "content": "Odd and Even"}, {"key": "917", "content": "Understanding Numbers"}, {"key": "918", "content": "Number characteristics"}, {"key": "919", "content": "Odd and even numbers"}, {"key": "920", "content": "Digital Riddle"}, {"key": "921", "content": "Divisible"}, {"key": "922", "content": "Divisibility characteristic"}, {"key": "923", "content": "Multiple"}, {"key": "924", "content": "Integer addition and subtraction"}, {"key": "925", "content": "Number Table Pattern"}, {"key": "926", "content": "Rectangular Number Table"}, {"key": "927", "content": "Operation and Strategy"}, {"key": "928", "content": "Comprehensive planning"}, {"key": "929", "content": "Formula and Equation"}, {"key": "930", "content": "Quantitative relationship"}, {"key": "931", "content": "Simple Equation (Linear with One Variable)"}, {"key": "932", "content": "Solve simple equations"}, {"key": "933", "content": "Simple Equation"}, {"key": "934", "content": "Equivalence substitution"}, {"key": "935", "content": "Linear equation in one variable"}, {"key": "936", "content": "Irregular polygon"}, {"key": "937", "content": "Comprehensive Enumeration Method"}, {"key": "938", "content": "Number of Groups"}, {"key": "939", "content": "match"}, {"key": "940", "content": "Clever and Fun Puzzles"}, {"key": "941", "content": "Formulaic"}, {"key": "942", "content": "Comprehensive question"}, {"key": "943", "content": "Fraction"}, {"key": "944", "content": "Fractional operation"}, {"key": "945", "content": "Fraction Basics"}, {"key": "946", "content": "Numbers and Operations"}, {"key": "947", "content": "Division"}, {"key": "948", "content": "Basic Calculation of Multiples"}, {"key": "949", "content": "Multiple Problem"}, {"key": "950", "content": "Practical Application of Number Operations (Application Problems)"}, {"key": "951", "content": "Simple practical problems of integers"}, {"key": "952", "content": "Common measures"}, {"key": "953", "content": "Year, Month, Day"}, {"key": "954", "content": "Knowing the year, month, and day"}, {"key": "955", "content": "Calendar"}, {"key": "956", "content": "And Magic Square"}, {"key": "957", "content": "Table of numbers"}, {"key": "958", "content": "Statistical Results Analysis"}, {"key": "959", "content": "Graph theory problems"}, {"key": "960", "content": "Sudoku"}, {"key": "961", "content": "Standard Sudoku"}, {"key": "962", "content": "Basic Knowledge of Angles"}, {"key": "963", "content": "Recognize, read, write numbers"}, {"key": "964", "content": "The meaning of decimals"}, {"key": "965", "content": "Reading and Writing Decimals"}, {"key": "966", "content": "Compare sizes"}, {"key": "967", "content": "Decimal Basis"}, {"key": "968", "content": "Basic knowledge of graphics"}, {"key": "969", "content": "Understanding of Angles"}, {"key": "970", "content": "Fill in the equation with symbols"}, {"key": "971", "content": "Simple Split"}, {"key": "972", "content": "combination"}, {"key": "973", "content": "Slotting Method"}, {"key": "974", "content": "Principle of Addition"}, {"key": "975", "content": "Math Fun Questions"}, {"key": "976", "content": "Matchstick problem"}, {"key": "977", "content": "Multiplication Law"}, {"key": "978", "content": "Mixed Operations"}, {"key": "979", "content": "Age issue of the Dangdang type"}, {"key": "980", "content": "Profit and Loss Conversion Type"}, {"key": "981", "content": "Arrangement"}, {"key": "982", "content": "Define New Operation"}, {"key": "983", "content": "Direct computation type"}, {"key": "984", "content": "Observation Regularity Type"}, {"key": "985", "content": "Gauss notation"}, {"key": "986", "content": "Finding Patterns"}, {"key": "987", "content": "Coloring in the Chessboard"}, {"key": "988", "content": "Sports competition"}, {"key": "989", "content": "Chicken-Rabbit Same Cage Application Problems"}, {"key": "990", "content": "Average speed"}, {"key": "991", "content": "Geometric model"}, {"key": "992", "content": "Half model"}, {"key": "993", "content": "Multi-digit calculation"}, {"key": "994", "content": "Overall coordination in terms of location"}, {"key": "995", "content": "Train problem"}, {"key": "996", "content": "The train and the person"}, {"key": "997", "content": "Multi-person Encounter and Pursuit Problem"}, {"key": "998", "content": "Ability"}, {"key": "999", "content": "Keen Sudoku"}, {"key": "1000", "content": "Engineering application question"}, {"key": "1001", "content": "Group Number Problem"}, {"key": "1002", "content": "Payment methods"}, {"key": "1003", "content": "Comparison and Estimation"}, {"key": "1004", "content": "Overall Comparison of Size"}, {"key": "1005", "content": "Fraction Common Denominator Method"}, {"key": "1006", "content": "Arithmetic of numbers"}, {"key": "1007", "content": "Laws of Integer Multiplication"}, {"key": "1008", "content": "Addition, Subtraction, and Multiplication Application Problems"}, {"key": "1009", "content": "Array Diagram"}, {"key": "1010", "content": "Mean"}, {"key": "1011", "content": "Integer subtraction operation"}, {"key": "1012", "content": "Place Value Principle and Number Systems"}, {"key": "1013", "content": "Numbers and Numerals"}, {"key": "1014", "content": "Set up equations to solve application problems through equal substitution"}, {"key": "1015", "content": "Algebraic equations and numbers"}, {"key": "1016", "content": "learning ability"}, {"key": "1017", "content": "Estimation and Simple Application"}, {"key": "1018", "content": "Mathematical Thought"}, {"key": "1019", "content": "Combining Numbers and Shapes"}, {"key": "1020", "content": "Graphical Cognition Triangle"}, {"key": "1021", "content": "Perimeter of Composite Figures"}, {"key": "1022", "content": "Rectangular area"}, {"key": "1023", "content": "Factors and Multiples"}, {"key": "1024", "content": "The degree of the angle"}, {"key": "1025", "content": "Calculate the Angle of the Target Angle Based on the Given Conditions"}, {"key": "1026", "content": "Yuan, Jiao, Fen"}, {"key": "1027", "content": "Integer Addition Laws"}, {"key": "1028", "content": "Addition and subtraction of integers"}, {"key": "1029", "content": "Addition and subtraction of numbers within 100"}, {"key": "1030", "content": "Common Factors and Common Multiples"}, {"key": "1031", "content": "Common Factor and Greatest Common Factor"}, {"key": "1032", "content": "Understanding of Lines"}, {"key": "1033", "content": "Dot and line arrangement"}, {"key": "1034", "content": "Application Problems on Multiples"}, {"key": "1035", "content": "Geometric Applications"}, {"key": "1036", "content": "Graphics and Transformations"}, {"key": "1037", "content": "Transformation Matrix"}, {"key": "1038", "content": "Optimize"}, {"key": "1039", "content": "Problem Solving Strategies"}, {"key": "1040", "content": "Life Practice"}, {"key": "1041", "content": "Design Scheme"}, {"key": "1042", "content": "Pigeonhole Principle"}, {"key": "1043", "content": "Number and Shape"}, {"key": "1044", "content": "Multiplication application problems"}, {"key": "1045", "content": "Proportional Solution to Travel Problems"}, {"key": "1046", "content": "Proportion Application Problems"}, {"key": "1047", "content": "Percentages Application Problems"}, {"key": "1048", "content": "Geometric sequence"}, {"key": "1049", "content": "Chickens and rabbits in the same cage"}, {"key": "1050", "content": "Application of Divisibility Properties"}, {"key": "1051", "content": "Multiplication"}, {"key": "1052", "content": "Integer Multiplication"}, {"key": "1053", "content": "Total Price Application Problems"}, {"key": "1054", "content": "Basic Triangle Problems"}, {"key": "1055", "content": "Restoring Word Problems"}, {"key": "1056", "content": "Thought"}, {"key": "1057", "content": "Killer Sudoku"}, {"key": "1058", "content": "Numeric Mergeable"}, {"key": "1059", "content": "Geometric theorem"}, {"key": "1060", "content": "Pythagorean Theorem and Chord Diagram"}, {"key": "1061", "content": "Exponentiation"}, {"key": "1062", "content": "Exponentiation operation"}, {"key": "1063", "content": "Recognizing Numbers Within 10,000"}, {"key": "1064", "content": "Simple period"}, {"key": "1065", "content": "Understanding of Fractions"}, {"key": "1066", "content": "Clever Calculation Method for Addition and Subtraction of Fractions by Making Whole Numbers"}, {"key": "1067", "content": "Clock issue"}, {"key": "1068", "content": "The issue of pursuit on the clock"}, {"key": "1069", "content": "Formula-based calculations"}, {"key": "1070", "content": "Difference of Squares Formula"}, {"key": "1071", "content": "In-table Division"}, {"key": "1072", "content": "Use multiplication tables to find the quotient"}, {"key": "1073", "content": "Two-digit number multiplied by two-digit number"}, {"key": "1074", "content": "Multiplying a multi-digit number by a single-digit number"}, {"key": "1075", "content": "Recognizing Squares"}, {"key": "1076", "content": "Fraction and Percentage Application Problems"}, {"key": "1077", "content": "Basic Properties of Fractions"}, {"key": "1078", "content": "Addition"}, {"key": "1079", "content": "Fraction Addition"}, {"key": "1080", "content": "Express the area shown in the diagram with a proper fraction"}, {"key": "1081", "content": "Other numerical arrays"}, {"key": "1082", "content": "Transform Sudoku"}, {"key": "1083", "content": "Addition and subtraction of numbers within 20"}, {"key": "1084", "content": "Straight line type, one end has it, one end does not"}, {"key": "1085", "content": "Game Strategy"}, {"key": "1086", "content": "Data Classification"}, {"key": "1087", "content": "Application of Perimeter and Area of Plane Figures"}, {"key": "1088", "content": "line"}, {"key": "1089", "content": "Basic Problem of Line Segment"}, {"key": "1090", "content": "Know numbers within a thousand"}, {"key": "1091", "content": "Sawing Wood Problem"}, {"key": "1092", "content": "Contour model is currently in use"}, {"key": "1093", "content": "Understanding Polygons"}, {"key": "1094", "content": "Practical application of approximate numbers"}, {"key": "1095", "content": "Many chickens and rabbits in the same cage"}, {"key": "1096", "content": "Division with a two-digit divisor"}, {"key": "1097", "content": "Factorize Prime Factors"}, {"key": "1098", "content": "Application of Prime Factorization"}, {"key": "1099", "content": "Addition line, Deletion line method"}, {"key": "1100", "content": "Triangle area formula"}, {"key": "1101", "content": "Series Splitting and General Term Induction"}, {"key": "1102", "content": "Fraction split"}, {"key": "1103", "content": "Composite Module Extreme Value Problem"}, {"key": "1104", "content": "And a certain type of extremum problem"}, {"key": "1105", "content": "The Extremum of the Product of Many Numbers"}, {"key": "1106", "content": "Probability"}, {"key": "1107", "content": "Typical problems"}, {"key": "1108", "content": "Engineering Problem"}, {"key": "1109", "content": "Problems on Adding and Subtracting Equally"}, {"key": "1110", "content": "Area of a polygon"}, {"key": "1111", "content": "Application Question Module: Queuing Problem"}, {"key": "1112", "content": "Gather"}, {"key": "1113", "content": "Setting Up Equations to Solve Problems"}, {"key": "1114", "content": "Simple engineering problem"}, {"key": "1115", "content": "Overlapping issue"}, {"key": "1116", "content": "Train and Train"}, {"key": "1117", "content": "Numerous encounters and pursuits"}, {"key": "1118", "content": "Comprehensive Application of Graphic Perimeter"}, {"key": "1119", "content": "Simple practical problems with decimals"}, {"key": "1120", "content": "Properties of Remainders"}, {"key": "1121", "content": "The Relationship and Differences Between Quadrilaterals"}, {"key": "1122", "content": "Seize the Point of Victory"}, {"key": "1123", "content": "Average Application Problems"}, {"key": "1124", "content": "Integer addition and subtraction"}, {"key": "1125", "content": "Horizontal digit puzzle"}, {"key": "1126", "content": "In-table multiplication"}, {"key": "1127", "content": "Multiplication Table"}, {"key": "1128", "content": "Three-digit number divided by a single-digit number"}, {"key": "1129", "content": "Two-digit number divided by a one-digit number"}, {"key": "1130", "content": "Fractional Split Difference"}, {"key": "1131", "content": "Mantissa Characteristics"}, {"key": "1132", "content": "Isometric Transformation"}, {"key": "1133", "content": "curved type"}, {"key": "1134", "content": "Circle and Sector"}, {"key": "1135", "content": "Estimation"}, {"key": "1136", "content": "Interesting graphics"}, {"key": "1137", "content": "Time issue"}, {"key": "1138", "content": "Subtraction"}, {"key": "1139", "content": "Integer Subtraction"}, {"key": "1140", "content": "Formula Memorization"}, {"key": "1141", "content": "Length"}, {"key": "1142", "content": "Recognizing shapes and observing objects"}, {"key": "1143", "content": "Direction and Coordinates"}, {"key": "1144", "content": "Biot-Savart Law"}, {"key": "1145", "content": "Clocks and watches"}, {"key": "1146", "content": "Letter Pattern"}, {"key": "1147", "content": "Properties and Applications of Parallelograms"}, {"key": "1148", "content": "Question type"}, {"key": "1149", "content": "Parallelogram Problem"}, {"key": "1150", "content": "Indeterminate equation"}, {"key": "1151", "content": "Properties and Applications of Number Systems"}, {"key": "1152", "content": "Clever Fraction Calculation"}, {"key": "1153", "content": "Complex fraction"}, {"key": "1154", "content": "Acquaintance line"}, {"key": "1155", "content": "Protractor"}, {"key": "1156", "content": "Graphics and Positions"}, {"key": "1157", "content": "Translation of graphics"}, {"key": "1158", "content": "Cooperative Engineering Issues"}, {"key": "1159", "content": "Three-dimensional figure"}, {"key": "1160", "content": "Extracting Common Factors from Fractions"}, {"key": "1161", "content": "Spatial Imagination"}, {"key": "1162", "content": "Mutually transform on a small scale"}, {"key": "1163", "content": "Special Parallelogram"}, {"key": "1164", "content": "Diamond"}, {"key": "1165", "content": "Motion and Position of Graphics"}, {"key": "1166", "content": "Northeast, Southeast, Northwest, Southwest"}, {"key": "1167", "content": "Pen calculation of multiplication: Multi-digit number times a single-digit number (continuous carry-over)"}, {"key": "1168", "content": "Three-digit number times a one-digit number (with a zero in the middle or at the end of the three-digit number)"}, {"key": "1169", "content": "Estimate of Calculation Result"}, {"key": "1170", "content": "Equations and Inequalities"}, {"key": "1171", "content": "Quadratic Equation"}, {"key": "1172", "content": "The basics of quadratic equations"}, {"key": "1173", "content": "Going upstairs problem"}, {"key": "1174", "content": "Finding the perimeter of an irregular shape"}]