{
  "title": "Algebraic Expressions - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Which is an algebraic expression? 🍎",
      "options": { "A": "5 + 3", "B": "2x + 3", "C": "7", "D": "10 ÷ 2" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "What is the expression for '3 more than x'? 🐤",
      "options": { "A": "x - 3", "B": "3x", "C": "x + 3", "D": "x ÷ 3" },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Which represents 'twice a number'? ✏️",
      "options": { "A": "x + 2", "B": "2x", "C": "x ÷ 2", "D": "x - 2" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "What is the expression for '5 less than y'? 📏",
      "options": { "A": "y + 5", "B": "5y", "C": "y - 5", "D": "y ÷ 5" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Which means 'the product of 4 and m'? 🎈",
      "options": { "A": "4 + m", "B": "4m", "C": "m ÷ 4", "D": "m - 4" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What is 'a number divided by 6'? 🔑",
      "options": { "A": "6n", "B": "n + 6", "C": "n ÷ 6", "D": "n - 6" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which expression means '7 added to p'? ➕",
      "options": { "A": "p - 7", "B": "7p", "C": "p + 7", "D": "p ÷ 7" },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "What is 'the sum of 9 and q'? 🚀",
      "options": { "A": "9q", "B": "q - 9", "C": "q ÷ 9", "D": "9 + q" },
      "correct_answer": "D"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Which represents 'half of x'? 📚",
      "options": { "A": "2x", "B": "x + 2", "C": "x ÷ 2", "D": "x - 2" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "What is '3 times a number plus 2'? 🍪",
      "options": {
        "A": "3x + 2",
        "B": "2x + 3",
        "C": "3(x + 2)",
        "D": "2(x + 3)"
      },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Which means '8 decreased by t'? 🦆",
      "options": { "A": "t - 8", "B": "8 - t", "C": "8t", "D": "t ÷ 8" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "What is 'the difference between 12 and r'? 🐘",
      "options": { "A": "12r", "B": "r - 12", "C": "12 - r", "D": "r ÷ 12" },
      "correct_answer": "C"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Which expression means '4 more than twice k'? 🐠",
      "options": {
        "A": "2k + 4",
        "B": "4k + 2",
        "C": "2(k + 4)",
        "D": "4(k + 2)"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "What is 'a number multiplied by 5'? 🎁",
      "options": { "A": "n + 5", "B": "5n", "C": "n ÷ 5", "D": "n - 5" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Which means '10 less than 3 times m'? 🏠",
      "options": {
        "A": "3m - 10",
        "B": "10 - 3m",
        "C": "3(m - 10)",
        "D": "10(m - 3)"
      },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "What is 'the quotient of x and 4'? 🃏",
      "options": { "A": "4x", "B": "x + 4", "C": "x ÷ 4", "D": "x - 4" },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Which represents 'twice the sum of a and 3'? 👑",
      "options": {
        "A": "2a + 3",
        "B": "2(a + 3)",
        "C": "a + 6",
        "D": "2a + 6"
      },
      "correct_answer": "B"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "What is '5 subtracted from 2 times n'? 🐇",
      "options": {
        "A": "5 - 2n",
        "B": "2n - 5",
        "C": "2(n - 5)",
        "D": "5(n - 2)"
      },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Which means 'the product of 7 and x plus 1'? 🌟",
      "options": { "A": "7x + 1", "B": "7(x + 1)", "C": "x + 7", "D": "7 + x" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "What is '9 divided by a number'? 🎯",
      "options": { "A": "9y", "B": "y + 9", "C": "9 ÷ y", "D": "y - 9" },
      "correct_answer": "C"
    },

    {
      "id": 21,
      "difficulty": "medium",
      "question": "Write expression: Raj has 5 more marbles than twice Sam's marbles (s). 🧩",
      "options": {
        "A": "2s + 5",
        "B": "5s + 2",
        "C": "2(s + 5)",
        "D": "5(2s)"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Write expression: A rectangle length is 3 more than width (w). 🌈",
      "options": { "A": "w + 3", "B": "3w", "C": "w - 3", "D": "w ÷ 3" },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Write expression: Priya's age (p) plus her brother who is 2 years younger. 🎨",
      "options": { "A": "p + (p - 2)", "B": "2p - 2", "C": "p - 2", "D": "2p" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "Write expression: Cost of 5 pens at ₹x each and 3 notebooks at ₹y each. 🚗",
      "options": { "A": "5x + 3y", "B": "3x + 5y", "C": "8xy", "D": "15xy" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Write expression: Perimeter of square with side (s + 2) cm. 🍦",
      "options": {
        "A": "4(s + 2)",
        "B": "(s + 2)²",
        "C": "2(s + 2)",
        "D": "s + 8"
      },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Write expression: Area of rectangle length (l+3), width (w-1). 🎪",
      "options": {
        "A": "(l+3)(w-1)",
        "B": "2(l+3+w-1)",
        "C": "lw + 2",
        "D": "l + w + 2"
      },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Write expression: 7 times a number decreased by 4 equals 24. 🧮",
      "options": {
        "A": "7n - 4 = 24",
        "B": "4 - 7n = 24",
        "C": "7n + 4 = 24",
        "D": "7(n - 4) = 24"
      },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Write expression: Sum of three consecutive numbers starting from n. 🏀",
      "options": {
        "A": "n + (n+1) + (n+2)",
        "B": "3n",
        "C": "n + 2 + 3",
        "D": "3n + 3"
      },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Write expression: Maya scored 15 less than double Riya's score (r). 🎭",
      "options": {
        "A": "2r - 15",
        "B": "15 - 2r",
        "C": "2(r - 15)",
        "D": "r/2 - 15"
      },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Write expression: One-third of a number added to 10. 🎡",
      "options": {
        "A": "n/3 + 10",
        "B": "3n + 10",
        "C": "(n + 10)/3",
        "D": "10 - n/3"
      },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Write expression: Age of father is 3 times son's age (s) plus 5 years. 📊",
      "options": {
        "A": "3s + 5",
        "B": "5s + 3",
        "C": "3(s + 5)",
        "D": "s + 8"
      },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Write expression: Cost of m apples at ₹5 each and n oranges at ₹3 each. 🚴",
      "options": { "A": "5m + 3n", "B": "3m + 5n", "C": "8mn", "D": "15mn" },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Write expression: Distance traveled in 3 hours at speed (x+10) km/h. 🎲",
      "options": {
        "A": "3(x+10)",
        "B": "(x+10)/3",
        "C": "3x + 10",
        "D": "x + 30"
      },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Write expression: After spending ₹x, Remaining from ₹500 is? 🪀",
      "options": { "A": "500 - x", "B": "x - 500", "C": "500x", "D": "x/500" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Write expression: Perimeter of triangle with sides (a), (a+2), (a+4). 🏓",
      "options": { "A": "3a + 6", "B": "3a", "C": "a + 6", "D": "a² + 6" },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Write expression: Number of students if each bench seats 4 and x benches. 🎳",
      "options": { "A": "4x", "B": "x + 4", "C": "x/4", "D": "4 + x" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Write expression: Temperature increased by 8° from morning temp t°. 🍭",
      "options": { "A": "t + 8", "B": "t - 8", "C": "8t", "D": "t/8" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Write expression: Books in library: fiction (f), non-fiction 20 more than fiction. 🎠",
      "options": {
        "A": "f + (f+20)",
        "B": "2f + 20",
        "C": "f + 20",
        "D": "20f"
      },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Write expression: Weight of 5 boxes each weighing (w+2) kg. 🎀",
      "options": {
        "A": "5(w+2)",
        "B": "5w + 2",
        "C": "w + 10",
        "D": "5w + 10"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Write expression: Marks in Maths (m), Science 5 less than Maths. 🪁",
      "options": {
        "A": "m + (m-5)",
        "B": "2m - 5",
        "C": "m - 5",
        "D": "5 - m"
      },
      "correct_answer": "A"
    },

    {
      "id": 41,
      "difficulty": "hard",
      "question": "Simplify: 3(x+4) - 2(x-1) + 5x = ? 🧠",
      "options": {
        "A": "6x + 14",
        "B": "6x + 10",
        "C": "7x + 14",
        "D": "7x + 10"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "If a=3, b=2, find value: 4a² - 3ab + b² = ? 🏆",
      "options": { "A": "22", "B": "24", "C": "26", "D": "28" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Simplify: 2[3x - 4(x+1)] + 5x = ? 🌟",
      "options": { "A": "3x - 8", "B": "3x + 8", "C": "4x - 8", "D": "4x + 8" },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "If perimeter = 4x+12, find side of square? 🎯",
      "options": { "A": "x+3", "B": "x+4", "C": "2x+3", "D": "2x+6" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Simplify: (3x+4)(2x-1) - 2x² = ? 🏅",
      "options": {
        "A": "4x² + 5x - 4",
        "B": "4x² + 6x - 4",
        "C": "5x² + 5x - 4",
        "D": "5x² + 6x - 4"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "If area = x²+5x+6, find dimensions (factors)? 🥇",
      "options": {
        "A": "(x+2)(x+3)",
        "B": "(x+1)(x+6)",
        "C": "(x+2)(x+4)",
        "D": "(x+3)(x+3)"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Simplify: 3x(x+2) - 2x(x-1) + 4x = ? 🏆",
      "options": {
        "A": "x² + 12x",
        "B": "x² + 10x",
        "C": "2x² + 12x",
        "D": "2x² + 10x"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "If 2(x+3) = 3(x-1), find x? 🎪",
      "options": { "A": "9", "B": "8", "C": "7", "D": "6" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Simplify: 4{2[3-(x+1)] + x} - 3x = ? 🧩",
      "options": {
        "A": "-7x + 16",
        "B": "-7x + 20",
        "C": "-8x + 16",
        "D": "-8x + 20"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "If volume = x³+6x²+11x+6, find one dimension (factor)? 🎨",
      "options": { "A": "x+1", "B": "x+2", "C": "x+3", "D": "x+4" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Simplify: (2x+3)² - (x+1)(x-1) = ? 🚀",
      "options": {
        "A": "3x² + 12x + 10",
        "B": "3x² + 10x + 10",
        "C": "4x² + 12x + 10",
        "D": "4x² + 10x + 10"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If sum of ages: 3x+15, find average age of 3 people? 🌈",
      "options": { "A": "x+5", "B": "x+15", "C": "3x+5", "D": "x+3" },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Simplify: 2x(x²+3x-1) - x(2x²-x+3) = ? 🍦",
      "options": {
        "A": "7x² - 5x",
        "B": "6x² - 5x",
        "C": "7x² - 4x",
        "D": "6x² - 4x"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Find expression: After giving x/2 to friend, remaining from 100? 🎡",
      "options": {
        "A": "100 - x/2",
        "B": "100 - 2x",
        "C": "x/2 - 100",
        "D": "2x - 100"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Simplify: 3[(x+2)(x-1)] - 2x(x+3) = ? 🎳",
      "options": {
        "A": "x² - 3x - 6",
        "B": "x² - 2x - 6",
        "C": "2x² - 3x - 6",
        "D": "2x² - 2x - 6"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "If 5(x-2) = 3(x+4), find x? 🎠",
      "options": { "A": "11", "B": "10", "C": "9", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Simplify: (x+3)² + (x-2)² - 2x² = ? 🪀",
      "options": {
        "A": "2x + 13",
        "B": "2x + 11",
        "C": "4x + 13",
        "D": "4x + 11"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Find expression: Area of path width 2 around pool of side x? 🏓",
      "options": {
        "A": "8x + 16",
        "B": "4x + 16",
        "C": "x² + 8x + 16",
        "D": "x² + 4x + 4"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "Simplify: 2x³ + 3x² - x(2x² + 3x - 1) = ? 🎭",
      "options": { "A": "x", "B": "2x", "C": "x²", "D": "2x²" },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "If 3/4 of number (x) plus 10 = 25, find x? 🎲",
      "options": { "A": "20", "B": "18", "C": "16", "D": "15" },
      "correct_answer": "A"
    }
  ]
}