{
  "Id": "b199283a-8c82-43ef-b1b3-e7e926cf75d7",
  "Title": "Advanced Order of Operations Challenge",
  "Subject": "Mathematics",
  "Topic": "Order of Operations (BADMAS)",
  "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": "2026-05-31T17:12:36.205689Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "word_problem",
      "Text": "Simplify the expression: (8 \u002B 2) * (3^2 - 4) \u002B 7. Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate inside the brackets: (8 \u002B 2) = 10 and (3^2 - 4) = 9 - 4 = 5\nStep 2: Multiply: 10 * 5 = 50\nStep 3: Add 7: 50 \u002B 7 = 57",
      "Points": 3
    },
    {
      "Id": 2,
      "Type": "word_problem",
      "Text": "Solve the expression: [(15 - 5) / 2] * (2^3 \u002B 9) - 8. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute (15 - 5) = 10, then 10 / 2 = 5\nStep 2: Calculate 2^3 = 8, then 8 \u002B 9 = 17\nStep 3: Multiply: 5 * 17 = 85\nStep 4: Subtract 8: 85 - 8 = 77",
      "Points": 3
    },
    {
      "Id": 3,
      "Type": "word_problem",
      "Text": "Evaluate the expression: 2 * (7 \u002B 3^2) - (14 / 2) \u002B 6. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 3^2 = 9, then 7 \u002B 9 = 16\nStep 2: Multiply by 2: 2 * 16 = 32\nStep 3: Compute 14 / 2 = 7\nStep 4: Perform subtraction and addition: 32 - 7 \u002B 6 = 31",
      "Points": 3
    },
    {
      "Id": 4,
      "Type": "word_problem",
      "Text": "Find the result of: [(20 / 4)^2 - 5] * (3 \u002B 2). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 20 / 4 = 5, then square it: 5^2 = 25\nStep 2: Subtract 5: 25 - 5 = 20\nStep 3: Compute (3 \u002B 2) = 5\nStep 4: Multiply: 20 * 5 = 100",
      "Points": 3
    },
    {
      "Id": 5,
      "Type": "word_problem",
      "Text": "Compute: 6 \u002B (12 - 3^2) * (8 / 4). Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate 3^2 = 9\nStep 2: Compute inside the brackets: 12 - 9 = 3\nStep 3: Compute 8 / 4 = 2\nStep 4: Multiply: 3 * 2 = 6\nStep 5: Add 6: 6 \u002B 6 = 12",
      "Points": 3
    },
    {
      "Id": 6,
      "Type": "word_problem",
      "Text": "Simplify the expression: [(9 \u002B 6) - 2^2] * (6 \u002B 4) \u002B 15. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute inside the first bracket: (9 \u002B 6) = 15, and 2^2 = 4\nStep 2: Subtract: 15 - 4 = 11\nStep 3: Compute (6 \u002B 4) = 10\nStep 4: Multiply: 11 * 10 = 110\nStep 5: Add 15: 110 \u002B 15 = 125",
      "Points": 3
    },
    {
      "Id": 7,
      "Type": "word_problem",
      "Text": "Evaluate: (5^2 - 3 * 4) \u002B [(24 / 3) * (2 \u002B 3)]. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 5^2 = 25 and 3 * 4 = 12, then subtract: 25 - 12 = 13\nStep 2: Compute 24 / 3 = 8 and (2 \u002B 3) = 5\nStep 3: Multiply: 8 * 5 = 40\nStep 4: Add the two results: 13 \u002B 40 = 53",
      "Points": 3
    },
    {
      "Id": 8,
      "Type": "word_problem",
      "Text": "Simplify the expression: (18 - (3^2 \u002B 2)) / 2 \u002B 7 * (4 - 1). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute inside the parentheses: 3^2 = 9, then 9 \u002B 2 = 11, and 18 - 11 = 7\nStep 2: Divide: 7 / 2 = 3.5\nStep 3: Compute (4 - 1) = 3 and then 7 * 3 = 21\nStep 4: Add: 3.5 \u002B 21 = 24.5",
      "Points": 3
    },
    {
      "Id": 9,
      "Type": "word_problem",
      "Text": "Solve the expression: 3 * (2^3) \u002B (14 - 6) / 2 - 5. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 2^3 = 8, then 3 * 8 = 24\nStep 2: Compute (14 - 6) = 8 and then 8 / 2 = 4\nStep 3: Add and subtract: 24 \u002B 4 - 5 = 23",
      "Points": 3
    },
    {
      "Id": 10,
      "Type": "word_problem",
      "Text": "Find the result of the expression: (16 / 4) * (3^2 \u002B 1) - (7 \u002B 3). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 16 / 4 = 4 and 3^2 \u002B 1 = 9 \u002B 1 = 10\nStep 2: Multiply: 4 * 10 = 40\nStep 3: Compute (7 \u002B 3) = 10\nStep 4: Subtract: 40 - 10 = 30",
      "Points": 3
    },
    {
      "Id": 11,
      "Type": "word_problem",
      "Text": "Simplify: (10 \u002B 5) * (2^3 - 3) / (8 / 2). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute (10 \u002B 5) = 15 and 2^3 = 8, then 8 - 3 = 5\nStep 2: Multiply: 15 * 5 = 75\nStep 3: Compute (8 / 2) = 4\nStep 4: Divide: 75 / 4 = 18.75",
      "Points": 3
    },
    {
      "Id": 12,
      "Type": "word_problem",
      "Text": "Compute the expression: 4 * (6 \u002B 2^2) - (3 \u002B 7) \u002B 10 / 2. Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate 2^2 = 4, then (6 \u002B 4) = 10\nStep 2: Multiply: 4 * 10 = 40\nStep 3: Compute (3 \u002B 7) = 10 and 10 / 2 = 5\nStep 4: Combine: 40 - 10 \u002B 5 = 35",
      "Points": 3
    },
    {
      "Id": 13,
      "Type": "word_problem",
      "Text": "Evaluate: (14 \u002B 2^3) - (9 / 3) * (5 - 2). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 2^3 = 8, so (14 \u002B 8) = 22\nStep 2: Compute (9 / 3) = 3 and (5 - 2) = 3\nStep 3: Multiply: 3 * 3 = 9\nStep 4: Subtract: 22 - 9 = 13",
      "Points": 3
    },
    {
      "Id": 14,
      "Type": "word_problem",
      "Text": "Simplify: [(18 / 3) \u002B (4^2 - 6)] * 2 - 5. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 18 / 3 = 6 and 4^2 = 16, then 16 - 6 = 10\nStep 2: Add: 6 \u002B 10 = 16\nStep 3: Multiply: 16 * 2 = 32\nStep 4: Subtract: 32 - 5 = 27",
      "Points": 3
    },
    {
      "Id": 15,
      "Type": "word_problem",
      "Text": "Solve the expression: 7 \u002B 3 * (5^2 - 8) / 2. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 5^2 = 25, then subtract 8 to get 17\nStep 2: Multiply by 3: 3 * 17 = 51\nStep 3: Divide: 51 / 2 = 25.5\nStep 4: Add 7: 25.5 \u002B 7 = 32.5",
      "Points": 3
    },
    {
      "Id": 16,
      "Type": "word_problem",
      "Text": "Find the result of: [(12 - 4) * (3^2 \u002B 1)] / (10 / 2) \u002B 8. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute (12 - 4) = 8 and (3^2 \u002B 1) = 9 \u002B 1 = 10\nStep 2: Multiply: 8 * 10 = 80\nStep 3: Compute (10 / 2) = 5 and divide: 80 / 5 = 16\nStep 4: Add 8: 16 \u002B 8 = 24",
      "Points": 3
    },
    {
      "Id": 17,
      "Type": "word_problem",
      "Text": "Simplify: (9 * 2^2 - 5) \u002B ((16 / 2) \u002B 3). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 2^2 = 4, then 9 * 4 = 36, and subtract 5: 36 - 5 = 31\nStep 2: Compute 16 / 2 = 8, then add 3: 8 \u002B 3 = 11\nStep 3: Add the two results: 31 \u002B 11 = 42",
      "Points": 3
    },
    {
      "Id": 18,
      "Type": "word_problem",
      "Text": "Evaluate: [4 * (9 - 3) \u002B 2^3] - (12 / 4 \u002B 5). Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute (9 - 3) = 6, then 4 * 6 = 24\nStep 2: Compute 2^3 = 8, add: 24 \u002B 8 = 32\nStep 3: Compute 12 / 4 = 3, then (3 \u002B 5) = 8\nStep 4: Subtract: 32 - 8 = 24",
      "Points": 3
    },
    {
      "Id": 19,
      "Type": "word_problem",
      "Text": "Solve: (20 - 3^2) * (8 / 2) \u002B 7. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 3^2 = 9, then 20 - 9 = 11\nStep 2: Compute 8 / 2 = 4\nStep 3: Multiply: 11 * 4 = 44\nStep 4: Add 7: 44 \u002B 7 = 51",
      "Points": 3
    },
    {
      "Id": 20,
      "Type": "word_problem",
      "Text": "Simplify the expression: (15 \u002B 10 / 2) * (2^3 - 4) - 6. Show your working.",
      "Options": [],
      "Answer": "Step 1: Compute 10 / 2 = 5, then 15 \u002B 5 = 20\nStep 2: Compute 2^3 = 8, then 8 - 4 = 4\nStep 3: Multiply: 20 * 4 = 80\nStep 4: Subtract 6: 80 - 6 = 74",
      "Points": 3
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "Fill in the blank: After applying BADMAS, the result of (6 \u002B 4) * (3^2 - 1) is _____ .",
      "Options": [],
      "Answer": "80",
      "Points": 3
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify 20 - (5^2 - 10) * 1 to find the result _____ .",
      "Options": [],
      "Answer": "5",
      "Points": 3
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Evaluating 2 * (5 \u002B 2^3) - 6 gives the final result _____ .",
      "Options": [],
      "Answer": "20",
      "Points": 3
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify [(18 / 3) \u002B (4^2 - 9)] * 2 to obtain _____ .",
      "Options": [],
      "Answer": "26",
      "Points": 3
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The expression 3 * (10 - 2^2) \u002B 4 simplifies to _____ .",
      "Options": [],
      "Answer": "22",
      "Points": 3
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "Fill in the blank: When simplifying (14 \u002B 6) / 2 \u002B 2^3, the final answer is _____ .",
      "Options": [],
      "Answer": "18",
      "Points": 3
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Compute the result of (9 \u002B 3) * (2^2) - 5, which equals _____ .",
      "Options": [],
      "Answer": "43",
      "Points": 3
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplifying [8 * (7 - 3^2 / 2) \u002B 5] gives the result _____ .",
      "Options": [],
      "Answer": "25",
      "Points": 3
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The result of (12 * 2 \u002B 3^2) - 10 is _____ .",
      "Options": [],
      "Answer": "23",
      "Points": 3
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Evaluating 4 * (8 - 2) \u002B 2^3 results in _____ .",
      "Options": [],
      "Answer": "32",
      "Points": 3
    },
    {
      "Id": 31,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The value of [(5 \u002B 7) * (3^2 - 4)] / 2 is _____ .",
      "Options": [],
      "Answer": "30",
      "Points": 3
    },
    {
      "Id": 32,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify 9 \u002B (16 / 4) * (2^2 - 1) to obtain _____ .",
      "Options": [],
      "Answer": "21",
      "Points": 3
    },
    {
      "Id": 33,
      "Type": "fill_blank",
      "Text": "Fill in the blank: After using BADMAS, (10 \u002B 2^3) - (18 / 3) evaluates to _____ .",
      "Options": [],
      "Answer": "12",
      "Points": 3
    },
    {
      "Id": 34,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The expression (15 - 7) * (2^3) \u002B 4 simplifies to _____ .",
      "Options": [],
      "Answer": "68",
      "Points": 3
    },
    {
      "Id": 35,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify (25 / 5) \u002B (3 * (4^2) - 10) to obtain _____ .",
      "Options": [],
      "Answer": "43",
      "Points": 3
    },
    {
      "Id": 36,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Applying BADMAS to 2 * (9 \u002B 4) - 3^2 results in _____ .",
      "Options": [],
      "Answer": "17",
      "Points": 3
    },
    {
      "Id": 37,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The final result of (30 - 2^3) / 2 \u002B 7 is _____ .",
      "Options": [],
      "Answer": "18",
      "Points": 3
    },
    {
      "Id": 38,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Evaluate (8 \u002B 12) - (2^3) \u002B (16 / 4) to get _____ .",
      "Options": [],
      "Answer": "16",
      "Points": 3
    },
    {
      "Id": 39,
      "Type": "fill_blank",
      "Text": "Fill in the blank: Simplify 5 * (6 \u002B 2^2) - (14 - 4) to obtain _____ .",
      "Options": [],
      "Answer": "40",
      "Points": 3
    },
    {
      "Id": 40,
      "Type": "fill_blank",
      "Text": "Fill in the blank: The expression [(18 / 2) \u002B (7 - 3)] * 2 results in _____ .",
      "Options": [],
      "Answer": "26",
      "Points": 3
    }
  ],
  "TotalPoints": 120
}