{
  "title": "Equivalent Ratios (Ratio and Proportion) - Grade 5 ICSE",
  "total_questions": 90,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 2:3?",
      "options": {
        "A": "4:6",
        "B": "6:9",
        "C": "3:5",
        "D": "10:12"
      },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Find an equivalent ratio to 3:4.",
      "options": {
        "A": "6:9",
        "B": "9:12",
        "C": "8:10",
        "D": "12:18"
      },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 5:10 in simplest form?",
      "options": { "A": "1:2", "B": "2:1", "C": "10:5", "D": "5:10" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Which ratio is NOT equivalent to 2:5?",
      "options": { "A": "4:10", "B": "6:15", "C": "8:20", "D": "10:30" },
      "correct_answer": "D"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Find the missing number: 3:7 = 12:___",
      "options": { "A": "21", "B": "24", "C": "28", "D": "14" },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 8:12?",
      "options": { "A": "2:3", "B": "3:2", "C": "4:6", "D": "16:18" },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 1:4?",
      "options": { "A": "2:6", "B": "3:12", "C": "4:15", "D": "5:16" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Find the missing number: 4:9 = 20:___",
      "options": { "A": "36", "B": "40", "C": "45", "D": "54" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "What is the simplest form of 15:25?",
      "options": { "A": "3:5", "B": "5:3", "C": "15:25", "D": "30:50" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 6:8?",
      "options": {
        "A": "9:12",
        "B": "12:18",
        "C": "3:5",
        "D": "18:20"
      },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Find the missing number: 5:6 = 25:___",
      "options": { "A": "30", "B": "26", "C": "36", "D": "31" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 9:15?",
      "options": { "A": "3:5", "B": "5:3", "C": "18:25", "D": "27:30" },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Which ratio is NOT equivalent to 7:14?",
      "options": { "A": "1:2", "B": "14:28", "C": "21:42", "D": "28:49" },
      "correct_answer": "D"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Find the missing number: 2:11 = 6:___",
      "options": { "A": "22", "B": "33", "C": "44", "D": "55" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "What is the simplest form of 24:36?",
      "options": { "A": "2:3", "B": "3:2", "C": "4:6", "D": "12:18" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 10:25?",
      "options": { "A": "2:5", "B": "5:2", "C": "20:45", "D": "30:75" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Find the missing number: 3:8 = 15:___",
      "options": { "A": "24", "B": "32", "C": "40", "D": "48" },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 16:24?",
      "options": { "A": "2:3", "B": "3:2", "C": "8:10", "D": "32:36" },
      "correct_answer": "A"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 12:18?",
      "options": { "A": "2:3", "B": "3:2", "C": "6:8", "D": "24:27" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Find the missing number: 7:5 = 21:___",
      "options": { "A": "10", "B": "15", "C": "20", "D": "25" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "easy",
      "question": "What is the simplest form of 35:49?",
      "options": { "A": "5:7", "B": "7:5", "C": "15:21", "D": "70:98" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 18:27?",
      "options": {
        "A": "2:3",
        "B": "4:5",
        "C": "5:6",
        "D": "7:9"
      },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "easy",
      "question": "Find the missing number: 4:7 = 16:___",
      "options": { "A": "21", "B": "28", "C": "35", "D": "42" },
      "correct_answer": "B"
    },
    {
      "id": 24,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 14:21?",
      "options": { "A": "2:3", "B": "3:2", "C": "7:10", "D": "28:35" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "easy",
      "question": "Which ratio is NOT equivalent to 8:20?",
      "options": { "A": "2:5", "B": "16:40", "C": "24:60", "D": "32:70" },
      "correct_answer": "D"
    },
    {
      "id": 26,
      "difficulty": "easy",
      "question": "Find the missing number: 5:9 = 30:___",
      "options": { "A": "45", "B": "54", "C": "63", "D": "72" },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "easy",
      "question": "What is the simplest form of 48:64?",
      "options": { "A": "3:4", "B": "4:3", "C": "6:8", "D": "12:16" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 22:33?",
      "options": { "A": "2:3", "B": "3:2", "C": "11:16", "D": "44:55" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "easy",
      "question": "Find the missing number: 6:13 = 18:___",
      "options": { "A": "26", "B": "36", "C": "39", "D": "52" },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 27:36?",
      "options": { "A": "3:4", "B": "4:3", "C": "9:11", "D": "54:63" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 32:40?",
      "options": { "A": "4:5", "B": "5:4", "C": "8:9", "D": "16:18" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "easy",
      "question": "Find the missing number: 9:11 = 36:___",
      "options": { "A": "40", "B": "44", "C": "48", "D": "52" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "easy",
      "question": "What is the simplest form of 56:72?",
      "options": { "A": "7:9", "B": "9:7", "C": "14:18", "D": "28:36" },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 45:60?",
      "options": { "A": "3:4", "B": "4:3", "C": "9:11", "D": "15:25" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "easy",
      "question": "Find the missing number: 8:15 = 40:___",
      "options": { "A": "60", "B": "75", "C": "90", "D": "105" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "easy",
      "question": "What is the equivalent ratio to 50:75?",
      "options": { "A": "2:3", "B": "3:2", "C": "10:12", "D": "25:30" },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "easy",
      "question": "Which ratio is NOT equivalent to 11:22?",
      "options": { "A": "1:2", "B": "22:44", "C": "33:66", "D": "44:77" },
      "correct_answer": "D"
    },
    {
      "id": 38,
      "difficulty": "easy",
      "question": "Find the missing number: 12:17 = 60:___",
      "options": { "A": "68", "B": "85", "C": "102", "D": "119" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "easy",
      "question": "What is the simplest form of 63:81?",
      "options": { "A": "7:9", "B": "9:7", "C": "21:27", "D": "31:40" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "easy",
      "question": "Which ratio is equivalent to 72:96?",
      "options": { "A": "3:4", "B": "4:3", "C": "6:7", "D": "9:10" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "medium",
      "question": "Find two equivalent ratios for 5:8.",
      "options": {
        "A": "10:16 and 15:24",
        "B": "10:18 and 15:28",
        "C": "20:30 and 25:40",
        "D": "5:16 and 10:32"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "medium",
      "question": "If 3:5 is equivalent to 21:x, what is x?",
      "options": { "A": "25", "B": "30", "C": "35", "D": "40" },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "medium",
      "question": "Which of these ratios are all equivalent to 4:7?",
      "options": {
        "A": "8:14, 12:21, 20:35",
        "B": "8:14, 12:28, 20:35",
        "C": "4:14, 16:21, 20:35",
        "D": "8:16, 12:21, 16:28"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "medium",
      "question": "If 18:24 = x:4, find x.",
      "options": { "A": "2", "B": "3", "C": "4", "D": "5" },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "medium",
      "question": "Find the missing number in the equivalent ratios: 6:9 = 24:___ = 30:___",
      "options": { "A": "36, 45", "B": "36, 40", "C": "32, 45", "D": "32, 40" },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "medium",
      "question": "If 7:11 is equivalent to 49:x, what is x?",
      "options": { "A": "66", "B": "77", "C": "88", "D": "99" },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "medium",
      "question": "Which set contains only ratios equivalent to 9:12?",
      "options": {
        "A": "3:4, 18:24, 27:36",
        "B": "3:4, 18:25, 27:36",
        "C": "3:5, 18:24, 27:36",
        "D": "3:4, 18:24, 27:35"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "medium",
      "question": "If 15:20 = 3:x, find x.",
      "options": { "A": "3", "B": "4", "C": "5", "D": "6" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "medium",
      "question": "Find three equivalent ratios for 11:13.",
      "options": {
        "A": "22:26, 33:39, 44:52",
        "B": "22:26, 33:38, 44:52",
        "C": "22:25, 33:39, 44:52",
        "D": "22:26, 33:39, 55:52"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "medium",
      "question": "If 8:5 = 56:x, what is x?",
      "options": { "A": "30", "B": "35", "C": "40", "D": "45" },
      "correct_answer": "B"
    },
    {
      "id": 51,
      "difficulty": "medium",
      "question": "Which of these is NOT equivalent to 16:28?",
      "options": { "A": "4:7", "B": "32:56", "C": "48:84", "D": "64:105" },
      "correct_answer": "D"
    },
    {
      "id": 52,
      "difficulty": "medium",
      "question": "If 24:36 = x:3, find x.",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "medium",
      "question": "Find the missing numbers: 14:21 = 28:___ = 42:___",
      "options": { "A": "42, 63", "B": "42, 60", "C": "40, 63", "D": "40, 60" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "medium",
      "question": "If 13:17 is equivalent to 91:x, what is x?",
      "options": { "A": "109", "B": "119", "C": "129", "D": "139" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "medium",
      "question": "Which set contains a ratio NOT equivalent to 25:35?",
      "options": {
        "A": "5:7, 50:70, 75:105",
        "B": "5:7, 50:70, 100:140",
        "C": "5:7, 50:75, 75:105",
        "D": "5:7, 50:70, 125:175"
      },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "medium",
      "question": "If 33:44 = x:4, find x.",
      "options": { "A": "2", "B": "3", "C": "4", "D": "5" },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "medium",
      "question": "Find three equivalent ratios for 19:23.",
      "options": {
        "A": "38:46, 57:69, 76:92",
        "B": "38:45, 57:69, 76:92",
        "C": "38:46, 57:68, 76:92",
        "D": "38:46, 57:69, 95:92"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "medium",
      "question": "If 27:18 = x:2, what is x?",
      "options": { "A": "2", "B": "3", "C": "4", "D": "5" },
      "correct_answer": "B"
    },
    {
      "id": 59,
      "difficulty": "medium",
      "question": "Which of these are all equivalent to 34:51?",
      "options": {
        "A": "2:3, 68:102, 102:153",
        "B": "3:4, 68:102, 102:153",
        "C": "2:3, 68:101, 102:153",
        "D": "2:3, 34:68, 102:150"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "medium",
      "question": "If 42:54 = 7:x, find x.",
      "options": { "A": "8", "B": "9", "C": "10", "D": "11" },
      "correct_answer": "B"
    },
    {
      "id": 61,
      "difficulty": "medium",
      "question": "Find the missing numbers in the chain: 5:8 = 15:___ = 25:___",
      "options": { "A": "24, 40", "B": "24, 32", "C": "20, 40", "D": "20, 32" },
      "correct_answer": "A"
    },
    {
      "id": 62,
      "difficulty": "medium",
      "question": "If 56:72 = x:9, what is x?",
      "options": { "A": "6", "B": "7", "C": "8", "D": "9" },
      "correct_answer": "B"
    },
    {
      "id": 63,
      "difficulty": "medium",
      "question": "Which set has a ratio NOT equivalent to 45:63?",
      "options": {
        "A": "5:7, 90:126, 135:189",
        "B": "5:7, 90:125, 135:189",
        "C": "5:7, 90:126, 180:252",
        "D": "5:7, 90:126, 225:315"
      },
      "correct_answer": "B"
    },
    {
      "id": 64,
      "difficulty": "medium",
      "question": "If 64:80 = 4:x, find x.",
      "options": { "A": "4", "B": "5", "C": "6", "D": "7" },
      "correct_answer": "B"
    },
    {
      "id": 65,
      "difficulty": "medium",
      "question": "Find three equivalent ratios for 37:41.",
      "options": {
        "A": "74:82, 111:123, 148:164",
        "B": "74:81, 111:123, 148:164",
        "C": "74:82, 111:122, 148:164",
        "D": "74:82, 111:123, 185:164"
      },
      "correct_answer": "A"
    },
    {
      "id": 66,
      "difficulty": "medium",
      "question": "If 75:100 = x:4, what is x?",
      "options": { "A": "2", "B": "3", "C": "4", "D": "5" },
      "correct_answer": "B"
    },
    {
      "id": 67,
      "difficulty": "medium",
      "question": "Which of these are all equivalent to 52:78?",
      "options": {
        "A": "2:3, 104:156, 156:234",
        "B": "2:3, 104:155, 156:234",
        "C": "3:4, 104:156, 156:234",
        "D": "2:3, 104:156, 208:234"
      },
      "correct_answer": "A"
    },
    {
      "id": 68,
      "difficulty": "medium",
      "question": "If 88:99 = 8:x, find x.",
      "options": { "A": "8", "B": "9", "C": "10", "D": "11" },
      "correct_answer": "B"
    },
    {
      "id": 69,
      "difficulty": "medium",
      "question": "Find the chain of equivalents: 7:13 = 14:___ = 21:___",
      "options": { "A": "26, 39", "B": "26, 36", "C": "24, 39", "D": "24, 36" },
      "correct_answer": "A"
    },
    {
      "id": 70,
      "difficulty": "medium",
      "question": "If 96:108 = x:9, what is x?",
      "options": { "A": "7", "B": "8", "C": "9", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 71,
      "difficulty": "medium",
      "question": "Which set contains a ratio NOT equivalent to 68:85?",
      "options": {
        "A": "4:5, 136:170, 204:255",
        "B": "4:5, 136:171, 204:255",
        "C": "4:5, 136:170, 272:340",
        "D": "4:5, 136:170, 340:425"
      },
      "correct_answer": "B"
    },
    {
      "id": 72,
      "difficulty": "medium",
      "question": "If 105:120 = 7:x, find x.",
      "options": { "A": "7", "B": "8", "C": "9", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 73,
      "difficulty": "medium",
      "question": "Find three equivalent ratios for 29:31.",
      "options": {
        "A": "58:62, 87:93, 116:124",
        "B": "58:61, 87:93, 116:124",
        "C": "58:62, 87:92, 116:124",
        "D": "58:62, 87:93, 145:124"
      },
      "correct_answer": "A"
    },
    {
      "id": 74,
      "difficulty": "medium",
      "question": "If 126:144 = x:8, what is x?",
      "options": { "A": "6", "B": "7", "C": "8", "D": "9" },
      "correct_answer": "B"
    },
    {
      "id": 75,
      "difficulty": "medium",
      "question": "Which of these are all equivalent to 77:91?",
      "options": {
        "A": "11:13, 154:182, 231:273",
        "B": "11:13, 154:183, 231:273",
        "C": "11:14, 154:182, 231:273",
        "D": "11:13, 154:182, 308:273"
      },
      "correct_answer": "A"
    },
    {
      "id": 76,
      "difficulty": "medium",
      "question": "If 135:150 = 9:x, find x.",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 77,
      "difficulty": "medium",
      "question": "Find the chain: 9:16 = 18:___ = 27:___",
      "options": { "A": "32, 48", "B": "32, 45", "C": "30, 48", "D": "30, 45" },
      "correct_answer": "A"
    },
    {
      "id": 78,
      "difficulty": "medium",
      "question": "If 152:171 = x:9, what is x?",
      "options": { "A": "7", "B": "8", "C": "9", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 79,
      "difficulty": "medium",
      "question": "Which set has a ratio NOT equivalent to 84:98?",
      "options": {
        "A": "6:7, 168:196, 252:294",
        "B": "6:7, 168:197, 252:294",
        "C": "6:7, 168:196, 336:392",
        "D": "6:7, 168:196, 420:490"
      },
      "correct_answer": "B"
    },
    {
      "id": 80,
      "difficulty": "medium",
      "question": "If 165:180 = 11:x, find x.",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "C"
    },
    {
      "id": 81,
      "difficulty": "hard",
      "question": "If 2:3 and 4:5 are equivalent to a:b and b:c respectively, find a:c.",
      "options": { "A": "8:15", "B": "15:8", "C": "4:5", "D": "5:4" },
      "correct_answer": "A"
    },
    {
      "id": 82,
      "difficulty": "hard",
      "question": "Find x if 3:5, 6:7, and 9:x are in continued proportion of equivalent ratios.",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "B"
    },
    {
      "id": 83,
      "difficulty": "hard",
      "question": "If (2x+1):(3x-2) is equivalent to 5:7, find x.",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "C"
    },
    {
      "id": 84,
      "difficulty": "hard",
      "question": "Three equivalent ratios are 4:7, 12:x, and y:35. Find x+y.",
      "options": { "A": "49", "B": "50", "C": "51", "D": "52" },
      "correct_answer": "C"
    },
    {
      "id": 85,
      "difficulty": "hard",
      "question": "If a:b = 3:4 and b:c = 5:6, and all ratios are simplified to equivalent forms, find the simplest form of a:c.",
      "options": { "A": "5:8", "B": "8:5", "C": "15:24", "D": "3:6" },
      "correct_answer": "A"
    },
    {
      "id": 86,
      "difficulty": "hard",
      "question": "Find x and y if 5:8 = x:24 = 15:y.",
      "options": {
        "A": "x=15, y=24",
        "B": "x=15, y=40",
        "C": "x=10, y=24",
        "D": "x=10, y=40"
      },
      "correct_answer": "A"
    },
    {
      "id": 87,
      "difficulty": "hard",
      "question": "If (3x-1):(2x+3) is equivalent to 4:5, find x.",
      "options": { "A": "15", "B": "16", "C": "17", "D": "18" },
      "correct_answer": "C"
    },
    {
      "id": 88,
      "difficulty": "hard",
      "question": "Three numbers are in ratio 2:3:4. If each is increased by 5, the new ratio is equivalent to 3:4:5. Find the original middle number.",
      "options": { "A": "12", "B": "15", "C": "18", "D": "21" },
      "correct_answer": "B"
    },
    {
      "id": 89,
      "difficulty": "hard",
      "question": "If 5:7 is equivalent to (x+2):(2x-1), find x.",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "C"
    },
    {
      "id": 90,
      "difficulty": "hard",
      "question": "Four equivalent ratios form a chain: a:b = 2:3, b:c = 3:5, c:d = 5:7. Find the simplest equivalent ratio of a:d.",
      "options": { "A": "2:7", "B": "7:2", "C": "4:15", "D": "15:4" },
      "correct_answer": "A"
    }
  ]
}