{
  "Id": "0b507766-9fd2-4d44-a297-a840b7b6bb49",
  "Title": "Fractions: Units, Reading, and Number Line Practice",
  "Subject": "Mathematics",
  "Topic": "Fractions (fractional units, proper/improper, reading, number line, multiplying by fractions)",
  "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": "Fractions Important Notes - Class 6 Mathematics _ FREE PDF Download.pdf",
  "SessionMaterialId": "2e5ba7bc-f791-4dce-9987-c2fdfc0c75fd",
  "GeneratedAt": "2026-08-16T10:43:20.625022Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "In a fraction, the top number tells how many parts are taken.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "The fraction 5/5 is a proper fraction.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "When the denominator gets larger while the numerator stays 1, the fractional part gets smaller.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "On a number line, 2/7 is to the right of 3/7.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "The fraction 4/3 is greater than 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "To show 1/10 between 0 and 1 on a number line, divide the segment into ten equal parts first.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "2 \u00D7 (1/5) equals 1/10.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "The fractions 3/8 and 9/24 name the same amount.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "A fractional unit must come from equal shares of the whole.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "In 3/4, the denominator is 3.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which part of 7/9 tells into how many equal parts the whole is divided?",
      "Options": [
        "A. 7",
        "B. 9",
        "C. Both numbers",
        "D. Neither number"
      ],
      "Answer": "B. 9",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "Which fraction is the largest?",
      "Options": [
        "A. 1/5",
        "B. 1/4",
        "C. 1/6",
        "D. 1/8"
      ],
      "Answer": "B. 1/4",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Which fraction is equivalent to 2/3?",
      "Options": [
        "A. 8/14",
        "B. 6/9",
        "C. 9/15",
        "D. 10/18"
      ],
      "Answer": "B. 6/9",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "\u201CThree times one-fourth\u201D is written as:",
      "Options": [
        "A. 1/3",
        "B. 3/4",
        "C. 4/3",
        "D. 3/8"
      ],
      "Answer": "B. 3/4",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "A wooden rod is cut into 12 equal segments. Each segment is what fraction of the rod?",
      "Options": [
        "A. 1/6",
        "B. 1/12",
        "C. 12/1",
        "D. 6/1"
      ],
      "Answer": "B. 1/12",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "To accurately place 5/8 on a number line from 0 to 1, you should first divide the interval into:",
      "Options": [
        "A. 5 equal parts",
        "B. 7 equal parts",
        "C. 8 equal parts",
        "D. 10 equal parts"
      ],
      "Answer": "C. 8 equal parts",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Which statement is true about proper fractions?",
      "Options": [
        "A. The numerator is greater than the denominator",
        "B. The numerator equals the denominator",
        "C. The numerator is less than the denominator",
        "D. They are always more than 1"
      ],
      "Answer": "C. The numerator is less than the denominator",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "How is 5/6 read aloud?",
      "Options": [
        "A. Five sixths",
        "B. Five sevens",
        "C. Five quarters",
        "D. Five halves"
      ],
      "Answer": "A. Five sixths",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "Which scenario best describes measuring with fractional units?",
      "Options": [
        "A. Counting marbles one by one",
        "B. Folding a ribbon into four equal parts",
        "C. Guessing the length of a desk",
        "D. Rounding all lengths to the nearest ten"
      ],
      "Answer": "B. Folding a ribbon into four equal parts",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "As the denominator increases while the numerator stays 1, the size of each part:",
      "Options": [
        "A. Gets larger",
        "B. Stays the same",
        "C. Gets smaller",
        "D. Becomes negative"
      ],
      "Answer": "C. Gets smaller",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The number below the bar in 3/7 is called the _____.",
      "Options": [],
      "Answer": "denominator",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "Dividing a whole into equal parts creates _____ units.",
      "Options": [],
      "Answer": "fractional",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "The fraction 12/12 is equal to _____.",
      "Options": [],
      "Answer": "1",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "The fraction 2/5 can also be read as \u0022two _____.\u0022",
      "Options": [],
      "Answer": "fifths",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "On a number line, to mark 4/9, divide 0 to 1 into _____ equal parts first.",
      "Options": [],
      "Answer": "9",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "The fraction with numerator 9 and denominator 4 written as a mixed number is _____.",
      "Options": [],
      "Answer": "2 1/4",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "Multiplying 1/3 by 9 gives _____.",
      "Options": [],
      "Answer": "3",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "When comparing 1/8 and 1/3, the larger fraction is _____.",
      "Options": [],
      "Answer": "1/3",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "A fraction with a numerator less than its denominator is called a _____ fraction.",
      "Options": [],
      "Answer": "proper",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "If a ribbon is one unit long and folded into four equal parts, each part is _____ of the whole.",
      "Options": [],
      "Answer": "1/4",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "A smoothie recipe needs 3/4 cup of yogurt per batch. How much yogurt is needed for 3 batches? Show your working.",
      "Options": [],
      "Answer": "Step 1: Total yogurt = 3 \u00D7 (3/4)\nStep 2: Multiply numerators and keep denominator: 9/4\nStep 3: Convert to mixed number: 9/4 = 2 1/4\nAnswer: 2 1/4 cups",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "A rope is 8 meters long. It is cut into pieces each 2/3 meter long. How many pieces are made? Show your working.",
      "Options": [],
      "Answer": "Step 1: Number of pieces = 8 \u00F7 (2/3)\nStep 2: Divide by a fraction: 8 \u00D7 (3/2)\nStep 3: Compute: 8 \u00D7 3/2 = 24/2 = 12\nAnswer: 12 pieces",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "A baker uses 5/6 kg of flour for muffins and 1/4 kg for cookies. How much flour is used in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Find a common denominator for 5/6 and 1/4: LCM = 12\nStep 2: Convert: 5/6 = 10/12, 1/4 = 3/12\nStep 3: Add: 10/12 \u002B 3/12 = 13/12\nStep 4: Convert to mixed number: 13/12 = 1 1/12\nAnswer: 1 1/12 kg",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A jogger runs 1/2 km in the morning and 3/10 km in the evening. What is the total distance run that day? Show your working.",
      "Options": [],
      "Answer": "Step 1: Find a common denominator for 1/2 and 3/10: LCM = 10\nStep 2: Convert: 1/2 = 5/10\nStep 3: Add: 5/10 \u002B 3/10 = 8/10\nStep 4: Simplify: 8/10 = 4/5\nAnswer: 4/5 km",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "A circular pie is cut into 8 equal slices. Minh eats 3 slices at lunch and 1 more slice later. What fraction of the pie did Minh eat in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Convert slices to fractions: 3/8 and 1/8\nStep 2: Add: 3/8 \u002B 1/8 = 4/8\nStep 3: Simplify: 4/8 = 1/2\nAnswer: 1/2 of the pie",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "A water tank holds 20 liters when full. If it is filled to 3/5 of its capacity, how many liters of water are in the tank? Show your working.",
      "Options": [],
      "Answer": "Step 1: Amount of water = (3/5) \u00D7 20\nStep 2: Compute: 20 \u00F7 5 = 4, then 4 \u00D7 3 = 12\nAnswer: 12 liters",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "A board is 2 meters long. A carpenter removes 3/8 meter from one end. How long is the board now? Show your working.",
      "Options": [],
      "Answer": "Step 1: Write 2 as eighths: 2 = 16/8\nStep 2: Subtract: 16/8 \u2212 3/8 = 13/8\nStep 3: Convert to mixed number: 13/8 = 1 5/8\nAnswer: 1 5/8 meters",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "There are 5 sandwiches shared equally among 8 students. How much sandwich does each student receive? Show your working.",
      "Options": [],
      "Answer": "Step 1: Share per student = Total \u00F7 Number of students\nStep 2: Compute: 5 \u00F7 8 = 5/8\nAnswer: Each student gets 5/8 of a sandwich",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "Leena has 18 marbles. She gives 2/3 of them to her cousin. How many marbles does she give away? Show your working.",
      "Options": [],
      "Answer": "Step 1: Marbles given = (2/3) \u00D7 18\nStep 2: Compute: 18 \u00F7 3 = 6, then 6 \u00D7 2 = 12\nAnswer: 12 marbles",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "On a number line from 0 to 1 divided into 12 equal parts, where is 5/12 placed? Describe the tick mark position. Show your working.",
      "Options": [],
      "Answer": "Step 1: Divide the interval 0 to 1 into 12 equal parts.\nStep 2: The numerator 5 means count 5 parts from 0.\nStep 3: Locate the 5th tick after 0.\nAnswer: At the 5th tick mark from 0 between 0 and 1",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}