Missing Values and Matchstick Patterns Quiz
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Questions and Answers

What is the pattern observed for the number of people that can sit around triangular tables?

  • Adding 3 for each additional table
  • Doubling for each additional table
  • Multiplying by 2 and adding 2 for each additional table (correct)
  • Increasing by 2 for each additional table

    • If you have 5 triangular tables, how many people can sit around them?

  • 14
  • 20
  • 16 (correct)
  • 10

    • For square tables, what pattern is observed for the number of people that can sit around them?

  • Multiplying by 3 for each additional table
  • Multiplying by 2 for each additional table
  • Increasing by 4 for each additional table (correct)
  • Increasing by 2 for each additional table

    • If you have 3 square tables, how many people can sit around them?

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

    Based on the pattern provided, what is the formula to calculate the number of matchsticks needed to form the alphabet R?

    <p>m = 3(R - 1)</p> Signup and view all the answers

    If you want to form the alphabet S with matchsticks, what would be the correct formula to determine the number of matchsticks needed?

    <p>m = 3(S + 1)</p> Signup and view all the answers

    In the given pattern, what is the formula for calculating the number of matchsticks needed to form the alphabet P?

    <p>m = 2P + 1</p> Signup and view all the answers

    For creating the 'C' shape with matchsticks, if you need to form double the amount of 'C's as before, what would be the new formula for calculating the total number of matchsticks needed?

    <p>m = 6c + 3</p> Signup and view all the answers

    Based on the information provided, what should be the formula to find the number of marbles Pranav has if Rohan has 'r' marbles?

    <p>Pranav's marbles = r + 5</p> Signup and view all the answers

    If Virat Kohli is 1000 runs behind Sachin Tendulkar in Test Matches, what is the correct formula to calculate the number of runs made by Kohli?

    <p>Kohli's runs = Tendulkar's runs - 1000</p> Signup and view all the answers

    If Mother gave some laddus to guests and family members, and 5 laddus remain after giving away 'l' laddus, what is the correct formula to find out how many laddus Mother made?

    <p>Total laddus = l - 5</p> Signup and view all the answers

    What is the formula to determine the number of marbles Rohan has if Pranav has 'r' marbles?

    <p>Rohan's marbles = r - 5</p> Signup and view all the answers

    Study Notes

    Triangular Tables

    • The number of people that can sit around a triangular table increases with the number of tables.
    • Formula for calculating: Each triangular table accommodates 3 people.
    • For 5 triangular tables, the total seating capacity is 15 people (5 tables × 3 people).

    Square Tables

    • Each square table allows seating for 4 people.
    • The seating arrangement shows a direct correlation to the number of tables.
    • For 3 square tables, the total seating capacity is 12 people (3 tables × 4 people).

    Matchsticks for Letters

    • To calculate matchsticks needed for letters, identify the unique segments forming the letter.
    • For the letter R, a formula is established based on its structure; specific count of segments must be determined.
    • The S shape will require a different formula based on its unique structure.
    • For the letter P, a distinct formula exists reflecting its composition of segments.

    Doubling for 'C' Shape

    • To create double the number of 'C's, the original formula must be modified to account for the increase in quantity.
    • New formula involves multiplying the original matchstick count by 2.

    Marbles and Formulas

    • To find the total number of marbles Pranav has, use Rohan’s marbles ('r') in a specific formula.
    • Kohli, being 1000 runs behind Tendulkar, produces a formula to determine Kohli's total runs by adding 1000 to Tendulkar’s runs.
    • Regarding laddus, if 'l' laddus were distributed and 5 remain, the formula for total laddus made includes the remaining number.
    • A formula exists to find Rohan’s marbles based on Pranav's count ('r'), reflecting comparative quantities.

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    Description

    Test your knowledge on finding missing values in equations and determining matchstick patterns based on formulas. Practice solving equations with missing variables and calculating the number of matchsticks needed to create specific patterns.

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