normanherrera2001
normanherrera2001 Feb 2, 2026 โ€ข 0 views

Test questions for area models in multiplication Grade 3 math

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๐Ÿงฎ Mathematics

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๐Ÿ“š Quick Study Guide

    ๐Ÿ”ข
  • Area Model: A visual way to represent multiplication using a rectangle divided into smaller sections.
    • โž•
  • Breaking Down Numbers: Decompose numbers into their place values (e.g., 23 = 20 + 3).
    • ๐Ÿ“
  • Partial Products: Multiply each part of the decomposed numbers.
    • ๐Ÿงฎ
  • Total Area: Add the partial products to find the total product (area).
    • ๐Ÿ“
  • Formula: Area = Length x Width
    • ๐Ÿ’ก
  • Example: To multiply 15 x 12, break it down to (10 + 5) x (10 + 2). Then find the area of each smaller rectangle and add them up.

โœ๏ธ Practice Quiz

  1. What multiplication problem is represented by an area model with sections of 20, 6, 100, and 30?
    1. 12 x 13
    2. 16 x 15
    3. 10 x 20
    4. 14 x 11
  2. An area model shows 3 rows of 14. What is the product?
    1. 32
    2. 42
    3. 36
    4. 48
  3. Which expression represents the area model of 16 x 11?
    1. (10 + 6) + (10 + 1)
    2. (10 + 6) x (10 + 1)
    3. (10 x 6) + (10 x 1)
    4. (1 x 6) + (1 x 10)
  4. What are the partial products when using an area model to solve 24 x 13?
    1. 20, 4, 10, 3
    2. 200, 12, 40, 3
    3. 200, 60, 40, 12
    4. 200, 40, 30, 12
  5. If an area model is divided into sections representing 40, 8, 100, and 20, what is the multiplication problem being solved?
    1. 14 x 28
    2. 14 x 12
    3. 18 x 15
    4. 48 x 12
  6. What is the area represented by an area model with dimensions of (20 + 5) and (10 + 3)?
    1. 253
    2. 285
    3. 300
    4. 345
  7. Using the area model, what is 17 multiplied by 11?
    1. 177
    2. 187
    3. 167
    4. 197
Click to see Answers
  1. B
  2. B
  3. B
  4. C
  5. C
  6. B
  7. B
โœ… Best Answer
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๐Ÿ“š Quick Study Guide

    ๐Ÿ”ข
  • Area Model: A visual way to represent multiplication, breaking down numbers into smaller parts.
    • ๐Ÿ“
  • Rectangles: Area models use rectangles to show how numbers are multiplied. The area of each part of the rectangle represents a partial product.
    • โž•
  • Partial Products: These are the results of multiplying the smaller parts of the numbers. Add them together to get the final product.
    • ๐Ÿ“
  • Formula: Area = Length x Width. In area models, you're finding the area of smaller rectangles and adding them up.
    • ๐Ÿ’ก
  • Example: To multiply 13 x 15, break it down into (10 + 3) x (10 + 5). Then multiply each part: 10x10, 10x5, 3x10, and 3x5. Add those results!

๐Ÿ“ Practice Quiz

  1. Question 1: What multiplication problem does this area model represent, where the rectangle is divided into areas of 100, 20, 30, and 6?
    1. A) 12 x 13
    2. B) 13 x 12
    3. C) 16 x 10
    4. D) 15 x 11
  2. Question 2: An area model shows a rectangle divided into sections with areas of 200, 40, 10, and 2. What is the product of the original multiplication problem?
    1. A) 242
    2. B) 252
    3. C) 262
    4. D) 272
  3. Question 3: Which expression represents the area model for 14 x 16?
    1. A) (10 + 4) + (10 + 6)
    2. B) (10 x 4) + (10 x 6)
    3. C) (10 + 4) x (10 + 6)
    4. D) (10 x 10) + (4 x 6)
  4. Question 4: What are the partial products when using an area model to solve 23 x 11?
    1. A) 20, 3, 10, 1
    2. B) 200, 30, 20, 3
    3. C) 200, 30, 10, 3
    4. D) 200, 10, 30, 1
  5. Question 5: If an area model for 15 x 12 has sections representing 100, 50, 20, and 10, what is the total area (product)?
    1. A) 170
    2. B) 180
    3. C) 190
    4. D) 200
  6. Question 6: Which multiplication problem is best represented by an area model with sections of 300, 60, 20, and 4?
    1. A) 32 x 12
    2. B) 34 x 10
    3. C) 32 x 11
    4. D) 36 x 8
  7. Question 7: An area model for 18 x 13 includes areas of 100, 80, 30 and what other area?
    1. A) 14
    2. B) 16
    3. C) 24
    4. D) 32
Click to see Answers
  1. B
  2. B
  3. C
  4. C
  5. B
  6. A
  7. C

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