Math Word Problems and Calculations
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Questions and Answers

What is the total length of spirit ribbon needed to make 1 hair bow?

  • 8/7 yard
  • 1/8 yard
  • 1 yard
  • 7/8 yard (correct)
  • Which of the following expressions correctly represents the number of hair bows Tyanna can make from 1 yard of ribbon?

  • $1 ÷ 8/7$
  • $1 ÷ 7/8$ (correct)
  • $1 ÷ 1/8$
  • $7 ÷ 8$
  • According to Tyanna's calculation, how many hair bows can be made from 7/8 yard of ribbon?

  • 0.875
  • 2
  • 1 (correct)
  • 1.5
  • Which of these is an equivalent fraction to 7/8?

    <p>14/16</p> Signup and view all the answers

    If Michael cuts 3 sandwiches into equal-sized pieces, how much does each friend receive if shared among 4 friends?

    <p>3/8 sandwich</p> Signup and view all the answers

    How many equivalent fractions can be created for the fraction 3/4?

    <p>Infinite</p> Signup and view all the answers

    What is the simplest form of the fraction 28/32?

    <p>7/8</p> Signup and view all the answers

    If the total length of ribbon is represented as a mixed number $1 1/8$, what improper fraction would this be?

    <p>9/8</p> Signup and view all the answers

    If Aisha has _ liters of water, how many complete containers can she make if she uses _ liters for each?

    <p>2 complete containers</p> Signup and view all the answers

    What is the fraction of a container that Aisha can still fill after making complete containers?

    <p>1/4</p> Signup and view all the answers

    How would you represent the mathematical operation of dividing Aisha's total water by the amount poured into each container?

    <p>Division</p> Signup and view all the answers

    If Aisha has enough water for 2 complete experiment containers and an additional quarter, what is the total fraction of containers she can fill?

    <p>2 1/2</p> Signup and view all the answers

    Which of the following statements is true regarding the total liters of water Aisha has used?

    <p>She has used less than a liter.</p> Signup and view all the answers

    What mathematical operation would you perform to determine how many full containers Aisha can make from her water supply?

    <p>Dividing the total water by the volume used per container</p> Signup and view all the answers

    How can Aisha express the amount of water remaining after making the containers?

    <p>As a fraction of 1 liter</p> Signup and view all the answers

    In the process of Aisha's experiment, what type of numbers is she primarily working with?

    <p>Positive rational numbers</p> Signup and view all the answers

    What is the area of the rectangle that Eileen paints in square feet?

    <p>98 square feet</p> Signup and view all the answers

    If the base dimensions of the rectangular prism are 11 cm by 5 cm, what is the area of its base in square centimeters?

    <p>55 square centimeters</p> Signup and view all the answers

    What is the volume of the prism if its base area is 55 cm² and its height is 6 cm?

    <p>330 cubic centimeters</p> Signup and view all the answers

    What is the height of the rectangular prism described?

    <p>6 centimeters</p> Signup and view all the answers

    To find the volume of a prism, which formula should be used?

    <p>Base area x height</p> Signup and view all the answers

    If Eileen's painted area is 98 square feet, which of the following rectangles could have produced this area?

    <p>7 ft by 14 ft</p> Signup and view all the answers

    Which of the following is a characteristic of a rectangular prism?

    <p>It has six rectangular faces</p> Signup and view all the answers

    What dimension(s) are needed to calculate the area of a rectangle?

    <p>Length and width</p> Signup and view all the answers

    Which number is closest to 32 on the number line provided?

    <p>32.1</p> Signup and view all the answers

    What is the significance of labeling numbers on a number line?

    <p>It shows the relationship between different quantities.</p> Signup and view all the answers

    What is the maximum height recorded for the plants in the table?

    <p>4 meters</p> Signup and view all the answers

    What could be a potential error when interpreting the number line?

    <p>Reading numbers without understanding their decimal places.</p> Signup and view all the answers

    If a new number, 32.5, were added to the number line, where would it be placed?

    <p>Between 32.4 and 32.6</p> Signup and view all the answers

    Which measurement shows a relationship that may need further examination?

    <p>Plant heights in meters.</p> Signup and view all the answers

    What could be inferred about the distribution of the plant heights?

    <p>Heights vary significantly and may indicate different species.</p> Signup and view all the answers

    Why might it be important to use decimals when describing the heights of plants?

    <p>Decimals provide more precision than whole numbers.</p> Signup and view all the answers

    What is the total cost for 2 bottles of dish detergent, 1 bottle of laundry soap, and 4 packages of bar soap?

    <p>$63.75</p> Signup and view all the answers

    What is the value of $3.6 multiplied by $0.17?

    <p>$0.612</p> Signup and view all the answers

    What is the volume of the cereal box in cubic centimeters given the dimensions of 4.2 cm, 25.2 cm, and 15.8 cm?

    <p>1672.272 cm³</p> Signup and view all the answers

    If three friends purchase 2 boxes of Crunchy Chewy snack mix for $15.48 each, how much does each person pay?

    <p>$10.32</p> Signup and view all the answers

    What is the result of dividing 6.1 by 2.5?

    <p>2.44</p> Signup and view all the answers

    How much does Colin spend in total on paper towels and facial tissues?

    <p>$47.75</p> Signup and view all the answers

    Which of the following items does Colin purchase the most of in terms of quantity?

    <p>Bar soap</p> Signup and view all the answers

    How many total items does Colin put in his shopping cart?

    <p>13</p> Signup and view all the answers

    Study Notes

    Hair Bows and Ribbon Calculation

    • Each hair bow requires ⅛ yard of spirit ribbon.
    • An expression can represent the quantity of bows made from 7/8 yard of ribbon. Potential expressions to evaluate include variations of 7/8 divided by 1/8.

    Equivalent Fractions

    • Generate four equivalent fractions for selected fractions from the given options.
    • One fraction must simplify to its simplest form.

    Sandwich Sharing Problem

    • Michael shares 3 sandwiches with four friends, resulting in each friend receiving ¾ of a sandwich, calculated by dividing total pieces.

    Aisha's Water Experiment

    • Aisha has 2 liters of water and uses ⅛ liter per container, leading to her ability to make 16 containers (2 ÷ ⅛).
    • The leftover results in an incomplete container, with calculations showing a complete total of 2 full containers.

    Area Calculation

    • The area painted by Eileen measures 98 square feet, calculated based on specified dimensions.

    Volume of Rectangular Prism

    • A rectangular base with dimensions of 11 cm by 5 cm and a height of 6 cm yields a volume of 330 cm³, calculated using the formula for volume V = base area × height.

    Decimal Comparisons

    • Numbers compared on a number line include values near 32. Relevant decimals: 45.39, 45.6, 46.18, etc.
    • Important calculations involve multiplying decimals, e.g., 3.6 × 0.17 results in 0.612.

    Shopping Cart Calculation

    • Colin's total expenditure on household items includes:
      • 2 bottles of dish detergent ($5.39 each), total $10.78
      • Laundry soap at $17.97
      • 4 packages of bar soap ($8.75 each), totaling $35
    • Total spending amounts to $63.75.

    Cereal Box Volume

    • Dimensions for the cereal box are 4.2 cm, 25.2 cm, and 15.8 cm.
    • Volume calculation for the cereal box gives approximately 1672.27 cm³.

    Additional Division Problem

    • The value of 6.1 divided by 2.5 equals approximately 2.44.

    Snack Cost Sharing

    • The cost for two boxes of snack mix ($15.48 each) shared among three friends results in each person paying a third of the total adjusted price.

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    Related Documents

    6th Module 1 Test PDF

    Description

    This quiz covers a range of math word problems including ribbon calculations for hair bows, equivalent fractions, sharing sandwiches, and volume calculations for a rectangular prism. Solve these real-life scenarios using mathematical expressions and operations.

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