{
  "title": "Representation on Number Line - Grade 9 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "On a number line, numbers increase as we move: ➡️", "options": {"A": "Left", "B": "Right", "C": "Up", "D": "Down"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "Which point represents 0 on the number line? 0️⃣", "options": {"A": "Origin", "B": "Midpoint", "C": "End point", "D": "None"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "The number -3 will be located: 📍", "options": {"A": "Right of 0", "B": "Left of 0", "C": "At 0", "D": "Not on number line"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "Rational number 1/2 lies between: 🔍", "options": {"A": "0 and 1", "B": "1 and 2", "C": "-1 and 0", "D": "2 and 3"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "On number line, √4 is represented at point: 🔳", "options": {"A": "2", "B": "-2", "C": "Both A and B", "D": "Not representable"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Irrational numbers can be represented on number line: 📏", "options": {"A": "Exactly", "B": "Approximately", "C": "Not at all", "D": "Only integers"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Which of these is correctly placed on number line? ✅", "options": {"A": "-5 left of -2", "B": "3 right of 5", "C": "0 right of 1", "D": "-1 right of 0"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "To represent 3.5 on number line, it lies between: 🔢", "options": {"A": "3 and 4", "B": "3 and 3.5", "C": "3.5 and 4", "D": "2 and 3"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Every point on number line corresponds to a: 📍", "options": {"A": "Real number", "B": "Rational number", "C": "Integer only", "D": "Natural number"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "The distance from 0 to 5 on number line is: 📏", "options": {"A": "5 units", "B": "-5 units", "C": "0 units", "D": "10 units"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Negative numbers are on the ____ side of zero. ⬅️", "options": {"A": "Right", "B": "Left", "C": "Above", "D": "Below"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "Which is farthest from zero? 🏃", "options": {"A": "2", "B": "-3", "C": "1", "D": "0.5"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "√9 on number line is at: 🔲", "options": {"A": "3", "B": "-3", "C": "9", "D": "±3"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "The number line extends: ♾️", "options": {"A": "Only to 100", "B": "Infinitely both sides", "C": "Only positive side", "D": "Only negative side"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "To represent -2.5, we move: 🚶", "options": {"A": "2.5 units left from 0", "B": "2.5 units right from 0", "C": "2 units left from 0", "D": "5 units left from 2"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Which number lies between -1 and 0? 🔍", "options": {"A": "-0.5", "B": "1", "C": "-2", "D": "0.5"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "On number line, 7/2 is same as: 🔢", "options": {"A": "3.5", "B": "2.7", "C": "7", "D": "2"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Distance between -4 and 4 is: 📏", "options": {"A": "0 units", "B": "4 units", "C": "8 units", "D": "16 units"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "Which is closest to zero? 🎯", "options": {"A": "5", "B": "-2", "C": "0.1", "D": "-1"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "The midpoint of 2 and 8 on number line is: 🔘", "options": {"A": "4", "B": "5", "C": "6", "D": "10"}, "correct_answer": "B"},

    {"id": 21, "difficulty": "medium", "question": "Represent √2 on number line using Pythagoras, the hypotenuse length is: 📐", "options": {"A": "√2", "B": "2", "C": "1", "D": "√3"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "To locate √5 on number line, we use right triangle with sides: 🔺", "options": {"A": "2 and 1", "B": "2 and √3", "C": "2 and √1", "D": "√4 and 1"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "On number line, √10 lies between integers: 🔍", "options": {"A": "2 and 3", "B": "3 and 4", "C": "4 and 5", "D": "5 and 6"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "The geometric method to represent √n on number line uses: 🧮", "options": {"A": "Pythagoras theorem", "B": "Area of square", "C": "Both A and B", "D": "None"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "Which point represents √13? 📍", "options": {"A": "Between 3 and 4", "B": "Between 4 and 5", "C": "Between 5 and 6", "D": "Between 2 and 3"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "The number √8 is between: 🔢", "options": {"A": "2 and 3", "B": "3 and 4", "C": "4 and 5", "D": "1 and 2"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "To mark 3/7 on number line, divide 0 to 1 into __ equal parts. ➗", "options": {"A": "3", "B": "7", "C": "10", "D": "2"}, "correct_answer": "B"},
    {"id": 28, "difficulty": "medium", "question": "The point representing -√2 will be: 📍", "options": {"A": "Left of 0", "B": "Right of 0", "C": "At 0", "D": "Not representable"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Distance between √3 and √12 on number line is: 📏", "options": {"A": "√3", "B": "√12 - √3", "C": "3√3 - √3", "D": "√9"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "Which is not representable exactly on number line? ❌", "options": {"A": "√16", "B": "√25", "C": "√20", "D": "√36"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "If we want to represent √17, we draw right triangle with legs: 📐", "options": {"A": "4 and 1", "B": "3 and 2", "C": "√16 and 1", "D": "All of these"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "The number line can show: 📊", "options": {"A": "Addition", "B": "Subtraction", "C": "Order", "D": "All of these"}, "correct_answer": "D"},
    {"id": 33, "difficulty": "medium", "question": "Point P is at -2.5, Q at 1.5. Distance PQ = ? 📏", "options": {"A": "1", "B": "4", "C": "3.5", "D": "4.5"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "To represent 5/3, divide 1 unit into __ parts and take __ parts. 🔢", "options": {"A": "3, 5", "B": "5, 3", "C": "3, 2", "D": "5, 2"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Which is larger on number line? ⬅️➡️", "options": {"A": "-√10", "B": "-π", "C": "-3.2", "D": "-√8"}, "correct_answer": "D"},
    {"id": 36, "difficulty": "medium", "question": "√50 lies between: 🔍", "options": {"A": "5 and 6", "B": "6 and 7", "C": "7 and 8", "D": "8 and 9"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Between 1.41 and 1.42 on number line, we can find: 🔎", "options": {"A": "√2", "B": "√3", "C": "π", "D": "√5"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Which is to the right of -√5? ➡️", "options": {"A": "-√6", "B": "-√4", "C": "-√7", "D": "-√10"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "If A = √2, B = 1.5, then on number line: 📍", "options": {"A": "A left of B", "B": "A right of B", "C": "A = B", "D": "Cannot compare"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Representation of π on number line is: 🥧", "options": {"A": "Between 3 and 4", "B": "Approximately 3.14", "C": "Not exact", "D": "All of these"}, "correct_answer": "D"},

    {"id": 41, "difficulty": "hard", "question": "To represent √(4.5) on number line, we can use triangle with legs: 📐", "options": {"A": "2 and 0.5", "B": "√4 and √0.5", "C": "2 and √0.5", "D": "3 and √1.5"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "hard", "question": "The point representing √(10) - √(2) is between which integers? 🔍", "options": {"A": "1 and 2", "B": "2 and 3", "C": "3 and 4", "D": "0 and 1"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "If √(n) is between 4.1 and 4.2 on number line, n is between: 🔢", "options": {"A": "16 and 17", "B": "17 and 18", "C": "18 and 19", "D": "19 and 20"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "hard", "question": "Represent √( (√2)² + (√3)² ) on number line: 📏", "options": {"A": "√5", "B": "√6", "C": "√13", "D": "√(2+3)=√5"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "hard", "question": "Distance between √8 and √18 on number line = ? 📏", "options": {"A": "√2", "B": "√10", "C": "√26", "D": "√18 - √8"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "If point A = -√7 and B = -√12, which is to the right? ➡️", "options": {"A": "A", "B": "B", "C": "Same", "D": "Cannot tell"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "To represent √( (3²+4²) ) on number line, we get point: 📍", "options": {"A": "5", "B": "7", "C": "√7", "D": "√25"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Which point lies between √15 and √24? 🔎", "options": {"A": "4", "B": "5", "C": "√20", "D": "√25"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "hard", "question": "The geometric construction for √n involves drawing a semicircle on segment of length: 🔵", "options": {"A": "n+1", "B": "n", "C": "n-1", "D": "1 and n"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "If √x is located at 4.3 on number line, then x ≈ ? 🔍", "options": {"A": "18.49", "B": "19.49", "C": "20.49", "D": "21.49"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "The point for (√5 + √5)/2 is same as: 🔢", "options": {"A": "√5", "B": "√10", "C": "√20", "D": "5"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Representation of ∛8 on number line is at: 🔳", "options": {"A": "2", "B": "√2", "C": "4", "D": "8"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "If we construct √13 using right triangle, possible legs are: 📐", "options": {"A": "3 and 2", "B": "√12 and 1", "C": "√9 and √4", "D": "All"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Midpoint of points representing √2 and √8 is: 🔘", "options": {"A": "√5", "B": "(√2+√8)/2", "C": "√(5)", "D": "√10/2"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "Which is farther from origin? 🏃", "options": {"A": "√10", "B": "π", "C": "3.2", "D": "√9"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Number line representation of √( (√6)² - (√2)² ) is: 📏", "options": {"A": "2", "B": "√4", "C": "√8", "D": "√6 - √2"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Point for -√(3.24) is at: 📍", "options": {"A": "-1.8", "B": "-√3.24", "C": "Left of -1.7", "D": "All"}, "correct_answer": "D"},
    {"id": 58, "difficulty": "hard", "question": "If √a is between 6.5 and 6.6, then a is between: 🔢", "options": {"A": "42.25 and 43.56", "B": "43.56 and 44.89", "C": "44.89 and 46.24", "D": "46.24 and 47.61"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Construction of √n for non-perfect square n always yields: 🔨", "options": {"A": "Exact point", "B": "Approximate point", "C": "Integer", "D": "Imaginary point"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "On number line, √( (√10)² - (√1)² ) is at: 📍", "options": {"A": "3", "B": "√9", "C": "√(10-1)=√9=3", "D": "All of these"}, "correct_answer": "D"}
  ]
}