{
  "Id": "a7a66c1e-fcf6-46a7-95e7-ec201264e88a",
  "Title": "Understanding Fractions: Units, Number Lines, and Real-Life Applications",
  "Subject": "Mathematics",
  "Topic": "Fractions (unit fractions, numerator/denominator, proper vs. improper, multiplying whole numbers by fractions, measurement and number lines)",
  "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": "2026-09-07T23:33:06.453859Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "true_false",
      "Text": "A fraction represents a part of a whole.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 2,
      "Type": "true_false",
      "Text": "In the fraction 7/10, the number 7 is the denominator.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "If a shape is cut into more equal pieces, each piece becomes larger.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 4,
      "Type": "true_false",
      "Text": "Fractions can be shown between whole numbers on a number line.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 5,
      "Type": "true_false",
      "Text": "The fraction 9/9 is an improper fraction.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 6,
      "Type": "true_false",
      "Text": "Folding a strip into four equal sections creates parts of size 1/4 each.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 7,
      "Type": "true_false",
      "Text": "The fraction 3/2 is less than 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "Fractions were studied in ancient Indian mathematics.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 9,
      "Type": "true_false",
      "Text": "Multiplying 6 by 1/3 results in a number greater than 6.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 1
    },
    {
      "Id": 10,
      "Type": "true_false",
      "Text": "To plot 2/5 from 0 to 1 on a number line, divide the segment into 5 equal parts and count two parts from 0.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 1
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which of the following is a unit fraction?",
      "Options": [
        "A. 2/3",
        "B. 1/6",
        "C. 3/2",
        "D. 5/3"
      ],
      "Answer": "B. 1/6",
      "Points": 2
    },
    {
      "Id": 12,
      "Type": "multiple_choice",
      "Text": "Which statement about size is correct?",
      "Options": [
        "A. 1/8 is larger than 1/5",
        "B. 1/5 is larger than 1/8",
        "C. 1/8 equals 1/5",
        "D. The two fractions cannot be compared"
      ],
      "Answer": "B. 1/5 is larger than 1/8",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "multiple_choice",
      "Text": "Identify the improper fraction.",
      "Options": [
        "A. 4/7",
        "B. 7/4",
        "C. 3/5",
        "D. 5/6"
      ],
      "Answer": "B. 7/4",
      "Points": 2
    },
    {
      "Id": 14,
      "Type": "multiple_choice",
      "Text": "The denominator in 11/12 tells you:",
      "Options": [
        "A. How many parts are taken",
        "B. The number of equal parts in the whole",
        "C. The whole number part of the quantity",
        "D. Nothing about the size of the parts"
      ],
      "Answer": "B. The number of equal parts in the whole",
      "Points": 2
    },
    {
      "Id": 15,
      "Type": "multiple_choice",
      "Text": "To locate 5/8 on the interval from 0 to 1, into how many equal parts should the interval be divided?",
      "Options": [
        "A. 4",
        "B. 5",
        "C. 8",
        "D. 10"
      ],
      "Answer": "C. 8",
      "Points": 2
    },
    {
      "Id": 16,
      "Type": "multiple_choice",
      "Text": "Which reading emphasizes the unit fraction idea for 5/6?",
      "Options": [
        "A. five groups of one-sixth",
        "B. five and one-sixth",
        "C. five over six times",
        "D. six groups of one-fifth"
      ],
      "Answer": "A. five groups of one-sixth",
      "Points": 2
    },
    {
      "Id": 17,
      "Type": "multiple_choice",
      "Text": "Which fraction is equal to one whole?",
      "Options": [
        "A. 7/8",
        "B. 5/5",
        "C. 9/10",
        "D. 4/7"
      ],
      "Answer": "B. 5/5",
      "Points": 2
    },
    {
      "Id": 18,
      "Type": "multiple_choice",
      "Text": "A recipe needs 3/4 cup of milk. Which is an equivalent way to measure this using 1/4-cup scoops?",
      "Options": [
        "A. one 1/4-cup scoop",
        "B. two 1/4-cup scoops",
        "C. three 1/4-cup scoops",
        "D. four 1/4-cup scoops"
      ],
      "Answer": "C. three 1/4-cup scoops",
      "Points": 2
    },
    {
      "Id": 19,
      "Type": "multiple_choice",
      "Text": "What is the value of 18 \u00D7 1/6?",
      "Options": [
        "A. 3",
        "B. 6",
        "C. 12",
        "D. 108"
      ],
      "Answer": "A. 3",
      "Points": 2
    },
    {
      "Id": 20,
      "Type": "multiple_choice",
      "Text": "Which fraction is closest to 1 but still less than 1?",
      "Options": [
        "A. 3/8",
        "B. 5/12",
        "C. 4/7",
        "D. 8/9"
      ],
      "Answer": "D. 8/9",
      "Points": 2
    },
    {
      "Id": 21,
      "Type": "fill_blank",
      "Text": "The top number of a fraction is called the _____.",
      "Options": [],
      "Answer": "numerator",
      "Points": 2
    },
    {
      "Id": 22,
      "Type": "fill_blank",
      "Text": "The bottom number of a fraction is the _____.",
      "Options": [],
      "Answer": "denominator",
      "Points": 2
    },
    {
      "Id": 23,
      "Type": "fill_blank",
      "Text": "Each equal piece of a divided whole is a _____ unit.",
      "Options": [],
      "Answer": "fractional",
      "Points": 2
    },
    {
      "Id": 24,
      "Type": "fill_blank",
      "Text": "A fraction with a smaller numerator than its denominator is called _____.",
      "Options": [],
      "Answer": "proper",
      "Points": 2
    },
    {
      "Id": 25,
      "Type": "fill_blank",
      "Text": "To multiply a whole number by a fraction, multiply the whole number by the numerator and then _____ by the denominator.",
      "Options": [],
      "Answer": "divide",
      "Points": 2
    },
    {
      "Id": 26,
      "Type": "fill_blank",
      "Text": "To mark 4/7 between 0 and 1, divide the segment into _____ equal parts.",
      "Options": [],
      "Answer": "7",
      "Points": 2
    },
    {
      "Id": 27,
      "Type": "fill_blank",
      "Text": "The fraction 12/12 is equal to _____.",
      "Options": [],
      "Answer": "1",
      "Points": 2
    },
    {
      "Id": 28,
      "Type": "fill_blank",
      "Text": "A builder might measure 1/3 of a board\u2019s length before making a _____.",
      "Options": [],
      "Answer": "cut",
      "Points": 2
    },
    {
      "Id": 29,
      "Type": "fill_blank",
      "Text": "Between 1/9 and 1/3, the larger piece is _____.",
      "Options": [],
      "Answer": "1/3",
      "Points": 2
    },
    {
      "Id": 30,
      "Type": "fill_blank",
      "Text": "Folding a paper into two equal sections makes parts of size _____.",
      "Options": [],
      "Answer": "1/2",
      "Points": 2
    },
    {
      "Id": 31,
      "Type": "word_problem",
      "Text": "A roll of ribbon is 5 meters long. If 2/5 of the ribbon is used to wrap a package, how many meters of ribbon are used? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply the whole length by the fraction: 5 \u00D7 2/5\nStep 2: Calculate: (5 \u00D7 2) \u00F7 5 = 10 \u00F7 5 = 2\nAnswer: 2 meters",
      "Points": 5
    },
    {
      "Id": 32,
      "Type": "word_problem",
      "Text": "A pan of brownies is cut into 12 equal squares. Lina eats 5 squares. What fraction of the pan did she eat? Show your working.",
      "Options": [],
      "Answer": "Step 1: Write the fraction of pieces eaten: 5/12\nStep 2: Check for simplification: 5/12 cannot be simplified further\nAnswer: 5/12 of the pan",
      "Points": 5
    },
    {
      "Id": 33,
      "Type": "word_problem",
      "Text": "A 2-meter measuring stick is marked in 1/4-meter sections. What is the total length of three consecutive 1/4-meter sections? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply the unit length by the number of sections: 3 \u00D7 1/4\nStep 2: Compute: 3/4 meter\nAnswer: 3/4 meter",
      "Points": 5
    },
    {
      "Id": 34,
      "Type": "word_problem",
      "Text": "A rope is 12 meters long. A teacher cuts off 1/3 of it for a demonstration. How long is the piece that was cut? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply: 12 \u00D7 1/3\nStep 2: Compute: 12 \u00F7 3 = 4\nAnswer: 4 meters",
      "Points": 5
    },
    {
      "Id": 35,
      "Type": "word_problem",
      "Text": "A garden row is 9 meters long. If 5/9 of the row is planted with carrots, how many meters are planted with carrots? Show your working.",
      "Options": [],
      "Answer": "Step 1: Calculate: 9 \u00D7 5/9 = (9 \u00D7 5) \u00F7 9\nStep 2: Simplify: 45 \u00F7 9 = 5\nAnswer: 5 meters",
      "Points": 5
    },
    {
      "Id": 36,
      "Type": "word_problem",
      "Text": "On a number line from 0 to 1, you want to place the fraction 5/8. Into how many equal parts should you divide the interval, and at which count from 0 will 5/8 be located? Show your working.",
      "Options": [],
      "Answer": "Step 1: Use the denominator to set equal parts: divide 0\u20131 into 8 equal parts\nStep 2: Use the numerator to count the position: move to the 5th tick from 0\nAnswer: Divide into 8 equal parts; place a mark at the 5th tick from 0",
      "Points": 5
    },
    {
      "Id": 37,
      "Type": "word_problem",
      "Text": "You fill a container using a 1/4-cup scoop. After three scoops, what fraction of a cup have you added? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply number of scoops by scoop size: 3 \u00D7 1/4\nStep 2: Compute: 3/4\nAnswer: 3/4 cup",
      "Points": 5
    },
    {
      "Id": 38,
      "Type": "word_problem",
      "Text": "A box contains 16 chalk sticks. Each student receives 1/8 of the box. How many chalk sticks does each student get? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply total sticks by the fraction: 16 \u00D7 1/8\nStep 2: Compute: 16 \u00F7 8 = 2\nAnswer: 2 chalk sticks",
      "Points": 5
    },
    {
      "Id": 39,
      "Type": "word_problem",
      "Text": "A paper strip is 6 units long. If 2/3 of the strip is shaded, how many units are shaded? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply: 6 \u00D7 2/3\nStep 2: Compute: (6 \u00D7 2) \u00F7 3 = 12 \u00F7 3 = 4\nAnswer: 4 units",
      "Points": 5
    },
    {
      "Id": 40,
      "Type": "word_problem",
      "Text": "A can of base paint holds 5 liters. To make a tint, you add a color amount equal to 1/10 of the base paint. How many liters of color are added? Show your working.",
      "Options": [],
      "Answer": "Step 1: Multiply: 5 \u00D7 1/10\nStep 2: Compute: 5 \u00F7 10 = 0.5\nAnswer: 0.5 liters",
      "Points": 5
    }
  ],
  "TotalPoints": 100
}