{
  "Id": "75a8e989-8b9a-4fd6-b935-691b709eb556",
  "Title": "Decimals: Place Value, Number Lines, and Operations \u2014 New Practice Set",
  "Subject": "Mathematics",
  "Topic": "Decimals (place value, number line representation, fraction\u2013decimal conversion, comparison, and operations)",
  "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": "decimal.pdf",
  "SessionMaterialId": "e519f06f-7536-46b1-a7f4-e243ea85ea17",
  "GeneratedAt": "2026-07-25T12:18:36.752779Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "0.6 lies between 0 and 1 on the number line.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "In 5.408, the digit in the hundredths place is 0.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "4.5 is greater than 4.50.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "Adding zeros to the right of a decimal does not change its value.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "0.09 is greater than 0.9.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "In 3.205, the digit in the tenths place is 2.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "Seven hundredths is written as 0.07.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "Multiplying a number by 10 moves its decimal point one place to the left.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "0.25 is equivalent to 1/4.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "6.08 has eight tenths.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which decimal equals three tens and nine hundredths?",
      "Options": [
        "A. 30.09",
        "B. 3.90",
        "C. 39.00",
        "D. 30.90"
      ],
      "Answer": "A. 30.09",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "Between which two whole numbers does 1.7 lie?",
      "Options": [
        "A. 0 and 1",
        "B. 1 and 2",
        "C. 2 and 3",
        "D. 17 and 18"
      ],
      "Answer": "B. 1 and 2",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Which of the following is the smallest number?",
      "Options": [
        "A. 5.07",
        "B. 5.7",
        "C. 5.17",
        "D. 5.007"
      ],
      "Answer": "D. 5.007",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "What is 4/5 as a decimal?",
      "Options": [
        "A. 0.45",
        "B. 0.8",
        "C. 0.54",
        "D. 1.25"
      ],
      "Answer": "B. 0.8",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "In 48.326, the value of the digit 2 is:",
      "Options": [
        "A. 2",
        "B. 0.02",
        "C. 0.2",
        "D. 20"
      ],
      "Answer": "B. 0.02",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Which expression has the same value as 7.4?",
      "Options": [
        "A. 7 \u002B 4/100",
        "B. 7 \u002B 4/10",
        "C. 7 \u002B 40",
        "D. 74/100"
      ],
      "Answer": "B. 7 \u002B 4/10",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Which decimal is NOT equal to 3.50?",
      "Options": [
        "A. 3.5",
        "B. 3.500",
        "C. 3.05",
        "D. 3.5000"
      ],
      "Answer": "C. 3.05",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "12 \u002B 0.08 \u002B 0.3 equals:",
      "Options": [
        "A. 12.11",
        "B. 12.38",
        "C. 12.83",
        "D. 12.003"
      ],
      "Answer": "B. 12.38",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Convert 0.625 to a fraction in simplest form.",
      "Options": [
        "A. 5/8",
        "B. 3/5",
        "C. 1/8",
        "D. 25/40"
      ],
      "Answer": "A. 5/8",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "Calculate the product: 45.7 \u00D7 0.06",
      "Options": [
        "A. 2.742",
        "B. 27.42",
        "C. 0.2742",
        "D. 274.2"
      ],
      "Answer": "A. 2.742",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "Write 3/20 as a decimal: _____",
      "Options": [],
      "Answer": "0.15",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The digit in the hundredths place of 9.846 is _____",
      "Options": [],
      "Answer": "4",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "Write \u201Cseven and forty-two thousandths\u201D as a decimal: _____",
      "Options": [],
      "Answer": "7.042",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "_____ is equivalent to 2/5 as a decimal.",
      "Options": [],
      "Answer": "0.4",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "Round 6.478 to the nearest tenth: _____",
      "Options": [],
      "Answer": "6.5",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "Write 18 tenths as a decimal: _____",
      "Options": [],
      "Answer": "1.8",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Compare using \u003C, \u003E, or =: 0.32 _____ 0.302",
      "Options": [],
      "Answer": "\u003E",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "Write 7/125 as a decimal: _____",
      "Options": [],
      "Answer": "0.056",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "Complete: 14.506 = 10 \u002B 4 \u002B _____ \u002B 0.006",
      "Options": [],
      "Answer": "0.5",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "In 0.709, the number of thousandths is _____",
      "Options": [],
      "Answer": "9",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "A notebook costs $2.45 and a pen costs $1.38. If you buy 3 notebooks and 2 pens, how much do you spend in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Cost of notebooks = 3 \u00D7 2.45 = 7.35\nStep 2: Cost of pens = 2 \u00D7 1.38 = 2.76\nStep 3: Total cost = 7.35 \u002B 2.76 = 10.11\nAnswer: $10.11",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "You pay with a $20 bill for items costing $6.89 and $4.75. How much change should you receive? Show your working.",
      "Options": [],
      "Answer": "Step 1: Total cost = 6.89 \u002B 4.75 = 11.64\nStep 2: Change = 20.00 \u2212 11.64 = 8.36\nAnswer: $8.36",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "On a training day, you run 2.6 km in the morning, 3.45 km at noon, and 1.2 km in the evening. What is the total distance you ran? Show your working.",
      "Options": [],
      "Answer": "Step 1: Add morning and noon distances: 2.6 \u002B 3.45 = 6.05\nStep 2: Add evening distance: 6.05 \u002B 1.2 = 7.25\nAnswer: 7.25 km",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A 3.6-liter jug of juice is poured equally into 8 bottles. How many liters of juice are in each bottle? Show your working.",
      "Options": [],
      "Answer": "Step 1: Divide total volume by number of bottles: 3.6 \u00F7 8\nStep 2: 3.6 \u00F7 8 = 0.45\nAnswer: 0.45 liters per bottle",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "Apples cost $3.20 per kilogram. If you buy 0.85 kg, how much do you pay? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply price per kg by mass: 3.20 \u00D7 0.85\nStep 2: 3.20 \u00D7 0.85 = 2.72\nAnswer: $2.72",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "Four swimmers recorded the following times (in seconds): Liam\u201426.41, Ava\u201426.37, Mia\u201426.90, Noah\u201426.52. Who won the race? Show your working.",
      "Options": [],
      "Answer": "Step 1: Compare times: 26.41, 26.37, 26.90, 26.52\nStep 2: The smallest time is 26.37\nAnswer: Ava",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "A 15.6-meter rope is cut into 4 equal pieces. What is the length of one piece? Show your working.",
      "Options": [],
      "Answer": "Step 1: Length per piece = 15.6 \u00F7 4\nStep 2: 15.6 \u00F7 4 = 3.9\nAnswer: 3.9 meters",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "A race distance is 42.195 km. Round this distance to the nearest tenth of a kilometer. Show your working.",
      "Options": [],
      "Answer": "Step 1: Identify tenths (2) and hundredths (9) in 42.195\nStep 2: Since hundredths is 9 (\u22655), round tenths up to 2 \u2192 42.2\nAnswer: 42.2 km",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "Find the value of 7.48 \u002B 2.305 \u2212 1.6. Show your working.",
      "Options": [],
      "Answer": "Step 1: Add 7.48 and 2.305: 7.48 \u002B 2.305 = 9.785\nStep 2: Subtract 1.6: 9.785 \u2212 1.6 = 8.185\nAnswer: 8.185",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "Find the missing number: 35.8 \u002B _____ = 49.06. Show your working.",
      "Options": [],
      "Answer": "Step 1: Subtract to find the missing addend: 49.06 \u2212 35.8\nStep 2: 49.06 \u2212 35.80 = 13.26\nAnswer: 13.26",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}