Multiplication and Area Quiz

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Questions and Answers

How many total seats are in both Room A and Room B combined?

  • 54 seats
  • 486 seats
  • 162 seats
  • 648 seats (correct)

What is the width of Ariella's rug if the length is 12 feet and the width is 3 feet less than the length?

  • 6 feet
  • 15 feet
  • 9 feet (correct)
  • 12 feet

What is the area of Ariella's rug in square feet?

  • 72 square feet
  • 42 square feet
  • 108 square feet (correct)
  • 36 square feet

Which expression can be used to find the next number in the sequence 32, 320, 3,200?

<p>3,200 x 10 (C)</p> Signup and view all the answers

What is the perimeter of Ariella's rug?

<p>42 feet (C)</p> Signup and view all the answers

What is the perimeter of Mr. Petersen's original garden?

<p>28 meters (D)</p> Signup and view all the answers

If Mr. Petersen triples the length of his garden and doubles its width, what would be the area of the new garden?

<p>240 square meters (B)</p> Signup and view all the answers

What is the total number of crayons that both the high school and elementary school art teachers have combined?

<p>1,092 crayons (D)</p> Signup and view all the answers

How many baseball cards does Luke have if he initially had twice as many as Grant and then bought 12 more?

<p>82 cards (C), 82 cards (D)</p> Signup and view all the answers

What would the perimeter be if Mr. Petersen's garden were to be remodeled to a length that is 3 times its original length and width doubled?

<p>64 meters (D)</p> Signup and view all the answers

What is the area of Mr. Petersen's garden after he modifies its dimensions?

<p>240 square meters (D)</p> Signup and view all the answers

Which diagram would accurately represent the total number of baseball cards that Luke has?

<p>2w + 12 (C)</p> Signup and view all the answers

How many additional crayons does the elementary school art teacher have compared to the high school art teacher?

<p>112 crayons (D)</p> Signup and view all the answers

What does Charley's model visually represent in terms of mathematics?

<p>17 multiplied by 17 (C)</p> Signup and view all the answers

What is the result of the expression $30 \times 60$?

<p>1800 (B)</p> Signup and view all the answers

How can you find the product of $3 \times 269$?

<p>Multiply 3 by 269 (C)</p> Signup and view all the answers

If 68 students are attending a field trip and each costs $3, what is the total cost?

<p>$204 (B)</p> Signup and view all the answers

What is the area of Mr. Petersen's garden if the length is 10 meters and the area is given as 40 square meters?

<p>40 square meters (A)</p> Signup and view all the answers

What is the formula for calculating the area of a rectangular garden?

<p>Length × Width (C)</p> Signup and view all the answers

Which multiplication strategy could be used to simplify calculating $3 \times 269$?

<p>Break down $269$ into $200 + 69$ and use distributive property (B)</p> Signup and view all the answers

What would be an incorrect way to calculate the total cost for a field trip?

<p>68 added to 3 (A)</p> Signup and view all the answers

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Study Notes

Multiplication Strategies

  • Charley's model represents 17 x 17 = 289
  • 30 x 60 = 1800
  • 3 x 269 = 807

Area and Perimeter

  • A school's 4th grade is going on a field trip with 68 students
  • Each student will pay $3 to attend, for a total cost of 68 x 3 = $204
  • Mr. Petersen's garden has a length of 10 meters and an area of 40 square meters.
  • The perimeter of Mr. Petersen's garden is 28 meters.
  • This year, Mr. Petersen wants to make his garden 3 times as long and 2 times as wide
  • The new garden will have an area of 240 square meters and a perimeter of 64 meters

Word Problems

  • The high school art teacher has 9 boxes of crayons with 52 crayons in each box, for a total of 9 x 52 = 468 crayons
  • The elementary school art teacher has 6 boxes of crayons with 104 crayons in each box, for a total of 6 x 104 = 624 crayons
  • Both teachers have a total of 468 + 624 = 1092 crayons
  • Grant had 35 baseball cards, Luke had twice as many, so Luke had 35 x 2 = 70 cards
  • Luke then bought 12 more cards for a total of 70 + 12 = 82 cards
  • A movie theater has two rooms, Room A with 9 rows of seats with 18 seats in each row, for a total of 9 x 18 = 162 seats
  • Room B has three times as many seats as Room A, so it has 162 x 3 = 486 seats
  • The total number of seats in the movie theater is 162 + 486 = 648 seats
  • Ariella purchased a rectangular rug with a length of 12 feet and a width that is 3 feet less than the length, for a width of 12 - 3 = 9 feet
  • The area of the rug is 12 x 9 = 108 square feet
  • The perimeter of the rug is 2(12 + 9) = 42 feet

Patterns

  • The numbers 32, 320, and 3,200 follow a pattern of multiplying the previous number by 10
  • The next number in the pattern is 3,200 x 10 = 32,000

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