{
  "Id": "0b5df768-c384-4fe9-8690-29d531860b93",
  "Title": "BODMAS Mastery Challenge",
  "Subject": "Mathematics",
  "Topic": "BODMAS Rule Simplification (Using \u0027Of\u0027 for Exponents)",
  "Instructions": "Read each question carefully and answer to the best of your ability. Show all working for word problems.",
  "EstimatedMinutes": 35,
  "StudentProfileId": "dd186faa-f489-46ee-84e4-26e2d01e2691",
  "SourceFileName": "manual-input",
  "SessionMaterialId": "06ff3519-e322-4919-9317-2364afada5ac",
  "GeneratedAt": "2026-05-31T17:48:51.093768Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "short_answer",
      "Text": "Using the BODMAS rule, simplify the expression: 8 \u002B 2 \u00D7 (5 - 3) Of 2. Provide detailed steps.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 5 - 3 = 2\nStep 2: Compute the Of operation: 2 Of 2 = 2\u00B2 = 4\nStep 3: Multiply: 2 \u00D7 4 = 8\nStep 4: Add: 8 \u002B 8 = 16",
      "Points": 2
    },
    {
      "Id": 2,
      "Type": "short_answer",
      "Text": "Simplify the expression: (4 \u002B 6) Of 2 \u00F7 5 - 3. Outline every step clearly.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 4 \u002B 6 = 10\nStep 2: Compute the Of operation: 10 Of 2 = 10\u00B2 = 100\nStep 3: Divide: 100 \u00F7 5 = 20\nStep 4: Subtract: 20 - 3 = 17",
      "Points": 2
    },
    {
      "Id": 3,
      "Type": "short_answer",
      "Text": "Apply the BODMAS rule to simplify: 3 \u00D7 (10 - 4) Of 2 \u002B 7. Provide a step-by-step explanation.",
      "Options": [],
      "Answer": "Step 1: Compute the bracket: 10 - 4 = 6\nStep 2: Compute the Of operation: 6 Of 2 = 6\u00B2 = 36\nStep 3: Multiply: 3 \u00D7 36 = 108\nStep 4: Add: 108 \u002B 7 = 115",
      "Points": 2
    },
    {
      "Id": 4,
      "Type": "short_answer",
      "Text": "Simplify the expression: (12 - 4) Of 2 \u00F7 (3 \u002B 1) using BODMAS. Show your working.",
      "Options": [],
      "Answer": "Step 1: Evaluate the first bracket: 12 - 4 = 8\nStep 2: Evaluate the second bracket: 3 \u002B 1 = 4\nStep 3: Apply Of operation: 8 Of 2 = 8\u00B2 = 64\nStep 4: Divide: 64 \u00F7 4 = 16",
      "Points": 2
    },
    {
      "Id": 5,
      "Type": "short_answer",
      "Text": "Using BODMAS, simplify: 2 \u002B 3 \u00D7 (8 - 2) Of 2 - 5. Describe each intermediate step.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 8 - 2 = 6\nStep 2: Apply Of operation: 6 Of 2 = 6\u00B2 = 36\nStep 3: Multiply: 3 \u00D7 36 = 108\nStep 4: Add and subtract: 2 \u002B 108 = 110, then 110 - 5 = 105",
      "Points": 2
    },
    {
      "Id": 6,
      "Type": "short_answer",
      "Text": "Simplify: (7 \u002B 3) Of 2 - 4 \u00D7 (6 - 4) by applying BODMAS. Provide a detailed breakdown.",
      "Options": [],
      "Answer": "Step 1: Evaluate brackets: 7 \u002B 3 = 10 and 6 - 4 = 2\nStep 2: Apply Of operation: 10 Of 2 = 10\u00B2 = 100\nStep 3: Multiply: 4 \u00D7 2 = 8\nStep 4: Subtract: 100 - 8 = 92",
      "Points": 2
    },
    {
      "Id": 7,
      "Type": "short_answer",
      "Text": "Simplify the expression: (15 - 5) \u00D7 (3 \u002B 1) Of 2 using the BODMAS rule. Explain your process.",
      "Options": [],
      "Answer": "Step 1: Compute the brackets: 15 - 5 = 10 and 3 \u002B 1 = 4\nStep 2: Apply Of operation on the second bracket: 4 Of 2 = 4\u00B2 = 16\nStep 3: Multiply: 10 \u00D7 16 = 160",
      "Points": 2
    },
    {
      "Id": 8,
      "Type": "short_answer",
      "Text": "Using BODMAS, simplify: 5 \u00D7 (9 - 4) Of 2 \u002B 2. Include all intermediate calculations.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 9 - 4 = 5\nStep 2: Apply Of operation: 5 Of 2 = 5\u00B2 = 25\nStep 3: Multiply: 5 \u00D7 25 = 125\nStep 4: Add: 125 \u002B 2 = 127",
      "Points": 2
    },
    {
      "Id": 9,
      "Type": "short_answer",
      "Text": "Simplify the following using the BODMAS rule: (14 \u00F7 2) Of 2 \u002B (3 \u00D7 2). Provide a clear explanation of each step.",
      "Options": [],
      "Answer": "Step 1: Compute the first bracket: 14 \u00F7 2 = 7\nStep 2: Apply Of operation: 7 Of 2 = 7\u00B2 = 49\nStep 3: Compute the second bracket: 3 \u00D7 2 = 6\nStep 4: Add: 49 \u002B 6 = 55",
      "Points": 2
    },
    {
      "Id": 10,
      "Type": "short_answer",
      "Text": "Apply BODMAS to simplify: 10 \u002B (6 - 2) Of 2 \u00F7 4. Show each step in your solution.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 6 - 2 = 4\nStep 2: Apply Of operation: 4 Of 2 = 4\u00B2 = 16\nStep 3: Divide: 16 \u00F7 4 = 4\nStep 4: Add: 10 \u002B 4 = 14",
      "Points": 2
    },
    {
      "Id": 11,
      "Type": "short_answer",
      "Text": "Simplify: (20 - 10) Of 2 - 3 \u00D7 (7 - 2) using the BODMAS rule. Detail every computation stage.",
      "Options": [],
      "Answer": "Step 1: Evaluate brackets: 20 - 10 = 10 and 7 - 2 = 5\nStep 2: Apply Of operation: 10 Of 2 = 10\u00B2 = 100\nStep 3: Multiply: 3 \u00D7 5 = 15\nStep 4: Subtract: 100 - 15 = 85",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "short_answer",
      "Text": "Using BODMAS, simplify: 3 \u002B 2 \u00D7 (12 - 4) Of 2. Provide a complete explanation.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 12 - 4 = 8\nStep 2: Apply Of operation: 8 Of 2 = 8\u00B2 = 64\nStep 3: Multiply: 2 \u00D7 64 = 128\nStep 4: Add: 3 \u002B 128 = 131",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "short_answer",
      "Text": "Simplify the expression: (18 - 6) Of 2 \u00F7 3 \u002B 7 using BODMAS. Explain each step in detail.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 18 - 6 = 12\nStep 2: Apply Of operation: 12 Of 2 = 12\u00B2 = 144\nStep 3: Divide: 144 \u00F7 3 = 48\nStep 4: Add: 48 \u002B 7 = 55",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "short_answer",
      "Text": "Apply the BODMAS rule to simplify: 4 \u00D7 [(9 - 3) Of 2 - 5]. Provide a detailed solution.",
      "Options": [],
      "Answer": "Step 1: Evaluate the inner bracket: 9 - 3 = 6\nStep 2: Apply Of operation: 6 Of 2 = 6\u00B2 = 36\nStep 3: Subtract: 36 - 5 = 31\nStep 4: Multiply: 4 \u00D7 31 = 124",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "short_answer",
      "Text": "Simplify the expression: (16 \u00F7 2) Of 2 \u002B 3 \u00D7 (8 - 5) using the BODMAS rule. Give a step-by-step breakdown.",
      "Options": [],
      "Answer": "Step 1: Compute the division: 16 \u00F7 2 = 8\nStep 2: Apply Of operation: 8 Of 2 = 8\u00B2 = 64\nStep 3: Evaluate the bracket: 8 - 5 = 3\nStep 4: Multiply: 3 \u00D7 3 = 9\nStep 5: Add: 64 \u002B 9 = 73",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "short_answer",
      "Text": "Using the BODMAS rule, simplify: 5 \u00D7 (7 \u002B 3) Of 2 - 10. Explain each step clearly.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 7 \u002B 3 = 10\nStep 2: Apply Of operation: 10 Of 2 = 10\u00B2 = 100\nStep 3: Multiply: 5 \u00D7 100 = 500\nStep 4: Subtract: 500 - 10 = 490",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "short_answer",
      "Text": "Simplify: (24 - 8) \u00F7 4 Of 2 using BODMAS. Provide the detailed process.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 24 - 8 = 16\nStep 2: Divide by 4: 16 \u00F7 4 = 4\nStep 3: Apply Of operation: 4 Of 2 = 4\u00B2 = 16\nNote: Alternatively, if the intended operation is to compute (24-8) first then Of 2, then 16 Of 2 = 256 and 256 \u00F7 4 = 64.\nClarification: Based on BODMAS, Of has higher precedence than division. Therefore, recalculate as:\nStep 1: 24 - 8 = 16\nStep 2: Apply Of operation: 16 Of 2 = 16\u00B2 = 256\nStep 3: Divide: 256 \u00F7 4 = 64\nFinal Answer: 64",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "short_answer",
      "Text": "Simplify the expression: 3 \u00D7 (14 - 4) Of 2 \u00F7 2 \u002B 5 using the BODMAS rule. Explain your steps thoroughly.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 14 - 4 = 10\nStep 2: Apply Of operation: 10 Of 2 = 10\u00B2 = 100\nStep 3: Multiply: 3 \u00D7 100 = 300\nStep 4: Divide: 300 \u00F7 2 = 150\nStep 5: Add: 150 \u002B 5 = 155",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "short_answer",
      "Text": "Using BODMAS, simplify: (10 \u002B 2) Of 2 - (18 \u00F7 3). Provide a detailed solution.",
      "Options": [],
      "Answer": "Step 1: Evaluate the bracket: 10 \u002B 2 = 12\nStep 2: Apply Of operation: 12 Of 2 = 12\u00B2 = 144\nStep 3: Divide: 18 \u00F7 3 = 6\nStep 4: Subtract: 144 - 6 = 138",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "short_answer",
      "Text": "Simplify the expression: 2 \u002B [(8 - 3) Of 2 \u00D7 4] - 7 using the BODMAS rule. Walk through all steps.",
      "Options": [],
      "Answer": "Step 1: Evaluate the inner bracket: 8 - 3 = 5\nStep 2: Apply Of operation: 5 Of 2 = 5\u00B2 = 25\nStep 3: Multiply: 25 \u00D7 4 = 100\nStep 4: Add: 2 \u002B 100 = 102\nStep 5: Subtract: 102 - 7 = 95",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In the expression (12-4) Of 2 \u00F7 3 \u002B 7, after applying the bracket and Of operations, the intermediate value is _____.",
      "Options": [],
      "Answer": "64",
      "Points": 1
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify (8\u002B2) Of 2 - 3\u00D74. The value of (8\u002B2) Of 2 is _____.",
      "Options": [],
      "Answer": "100",
      "Points": 1
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In the expression 5\u00D7(9-4) Of 2 \u002B 2, the term (9-4) Of 2 simplifies to _____.",
      "Options": [],
      "Answer": "25",
      "Points": 1
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "Fill in the blank: For (20-10) Of 2 - 3\u00D7(7-2), the computation of (20-10) Of 2 yields _____.",
      "Options": [],
      "Answer": "100",
      "Points": 1
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In the problem 4\u00D7[(9-3) Of 2 - 5], the component (9-3) Of 2 evaluates to _____.",
      "Options": [],
      "Answer": "36",
      "Points": 1
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "Fill in the blank: When simplifying (16\u00F72) Of 2 \u002B 3\u00D7(8-5), the (16\u00F72) Of 2 part computes to _____.",
      "Options": [],
      "Answer": "64",
      "Points": 1
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In (10\u002B2) Of 2 - (18\u00F73), the intermediate value (10\u002B2) Of 2 is _____.",
      "Options": [],
      "Answer": "144",
      "Points": 1
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "Fill in the blank: For 3\u00D7(14-4) Of 2 \u00F72 \u002B5, the segment (14-4) Of 2 results in _____.",
      "Options": [],
      "Answer": "100",
      "Points": 1
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In 5\u00D7(7\u002B3) Of 2 - 10, the operation (7\u002B3) Of 2 computes to _____.",
      "Options": [],
      "Answer": "100",
      "Points": 1
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "Fill in the blank: In the expression 2\u002B[(8-3) Of 2\u00D74]-7, the result of (8-3) Of 2 is _____.",
      "Options": [],
      "Answer": "25",
      "Points": 1
    }
  ],
  "TotalPoints": 50
}