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Multiplication Patterns

Grade 3 · Mathematics · Worksheet 2

  1. Mason is arranging stickers in a rectangular pattern. He places 7 rows of stickers, and each row has 12 stickers. If you visualize this arrangement as an array of dots, where each dot represents one sticker, what pattern do you notice about the total number of stickers when you skip count by 7?
    Answer: ______________
  2. A factory packages toy cars into boxes for shipping. Each large box holds 8 rows of toy cars, with 12 cars in each row. If the factory fills 9 of these large boxes completely, how many toy cars are they shipping in total?
    Answer: ______________
  3. A bakery is preparing for a school event and needs to make cupcakes. They plan to put 8 cupcakes in each box. If they need to fill 24 boxes completely, how many cupcakes do they need to bake in total? Answer: ______________
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Answer Key & Explanations

Multiplication Patterns · Grade 3 · Worksheet 2

  1. Mason is arranging stickers in a rectangular pattern. He places 7 rows of stickers, and each row has 12 stickers. If you visualize this arrangement as an array of dots, where each dot represents one sticker, what pattern do you notice about the total number of stickers when you skip count by 7? Answer: 84 Solution: The array has 7 rows with 12 stickers in each row. To find the total, multiply 7 × 12. Skip count by 7 twelve times: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84.
    Full step-by-step solution

    Step 1: The array has 7 rows with 12 stickers in each row. Step 2: To find the total, multiply 7 × 12. Step 3: Skip count by 7 twelve times: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84. Step 4: The 12th number in the skip count is 84. Step 5: So, 7 × 12 = 84. The answer is 84.

  2. A factory packages toy cars into boxes for shipping. Each large box holds 8 rows of toy cars, with 12 cars in each row. If the factory fills 9 of these large boxes completely, how many toy cars are they shipping in total? Answer: 864 Solution: First, find how many toy cars are in one large box. Each box has 8 rows with 12 cars in each row. Multiply 8 × 12.
    Full step-by-step solution

    Step 1: First, find how many toy cars are in one large box. Each box has 8 rows with 12 cars in each row. Multiply 8 × 12. 8 × 12 = 96 So, one large box holds 96 toy cars. Step 2: Now, find the total number of toy cars in 9 large boxes. Multiply the number of cars in one box by the number of boxes. 96 × 9 = ? Step 3: Break down the multiplication to make it easier. 96 × 9 = (90 × 9) + (6 × 9) 90 × 9 = 810 6 × 9 = 54 810 + 54 = 864 So, the factory is shipping 864 toy cars in total.

  3. A bakery is preparing for a school event and needs to make cupcakes. They plan to put 8 cupcakes in each box. If they need to fill 24 boxes completely, how many cupcakes do they need to bake in total? Answer: 192 Solution: Identify the number of boxes: 24 boxes Identify the number of cupcakes per box: 8 cupcakes Multiply to find the total number of cupcakes: 24 × 8 Calculate 20 × 8 = 160 and 4 × 8 = 32 Add the partial products: 160 + 32 = 192 The bakery needs to bake 192 cupcakes in total.
    Full step-by-step solution

    Step 1: Identify the number of boxes: 24 boxes Step 2: Identify the number of cupcakes per box: 8 cupcakes Step 3: Multiply to find the total number of cupcakes: 24 × 8 Step 4: Calculate 20 × 8 = 160 and 4 × 8 = 32 Step 5: Add the partial products: 160 + 32 = 192 Step 6: The bakery needs to bake 192 cupcakes in total.