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Multiplication Patterns

Grade 3 · Mathematics · Worksheet 1

  1. A farmer plants apple trees in a rectangular orchard. The orchard has 8 rows of trees, and each row contains 15 trees. If you visualize this arrangement as a grid, how many apple trees are there in total? Answer: ______________
  2. A bakery is preparing for a school event and needs to make mini cupcakes. They plan to bake 8 trays of cupcakes, with 24 mini cupcakes on each tray. How many mini cupcakes will the bakery bake in total? Answer: ______________
  3. Sophia is organizing her sticker collection into an album. She notices that the number of stickers on each page follows a pattern: 8, 16, 24, 32, 40. If the pattern continues in the same way, how many stickers will be on the 8th page? Answer: ______________
  4. Aroha is making a rectangular pattern with coloured tiles on a grid. She places tiles in rows so that each row has the same number of tiles. She notices that the number of tiles in each row follows a skip-counting pattern: 9, 18, 27, 36, ... If she continues this pattern for 10 rows, how many tiles will be in the 10th row? Answer: ______________
  5. 3, 6, 9, 12, 15, __ = ? Answer: ______________
  6. Hana is arranging flowers in a rectangular pattern for a school fair. She places them in rows, and the number of flowers in each row follows a skip-counting pattern from the 7 times table: 7, 14, 21, 28, __, __. If she continues this pattern for 6 rows, what is the total number of flowers in the last row? Answer: ______________
  7. Emma is arranging stones in a pattern on the ground. She places 1 stone in the first row, 3 stones in the second row, 5 stones in the third row, and 7 stones in the fourth row. If she continues this pattern of adding 2 more stones each time, how many stones will be in the ninth row? Answer: ______________
  8. A farmer plants tomato plants in a rectangular garden. The garden has 15 rows of plants, and each row contains 28 plants. If you visualize this arrangement as an array of dots where each dot represents one tomato plant, how many dots would be in the entire array? Answer: ______________
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Answer Key & Explanations

Multiplication Patterns · Grade 3 · Worksheet 1

  1. A farmer plants apple trees in a rectangular orchard. The orchard has 8 rows of trees, and each row contains 15 trees. If you visualize this arrangement as a grid, how many apple trees are there in total? Answer: 120 Solution: The orchard is arranged in rows and columns like a grid. There are 8 rows, and each row contains 15 trees. Identify the operation needed.
    Full step-by-step solution

    Step 1: Understand the problem. The orchard is arranged in rows and columns like a grid. There are 8 rows, and each row contains 15 trees. Step 2: Identify the operation needed. To find the total number of trees, we multiply the number of rows by the number of trees in each row. That is: Total trees = (Number of rows) × (Trees per row) Step 3: Substitute the given numbers. Number of rows = 8 Trees per row = 15 So: Total trees = 8 × 15 Step 4: Perform the multiplication. 8 × 15 = 120 Step 5: State the final answer. There are 120 apple trees in total.

  2. A bakery is preparing for a school event and needs to make mini cupcakes. They plan to bake 8 trays of cupcakes, with 24 mini cupcakes on each tray. How many mini cupcakes will the bakery bake in total? Answer: 192 Solution: The bakery is baking 8 trays of cupcakes. Each tray holds 24 mini cupcakes. To find the total number of cupcakes, multiply the number of trays by the number of cupcakes per tray: 8 × 24.
    Full step-by-step solution

    Step 1: The bakery is baking 8 trays of cupcakes. Step 2: Each tray holds 24 mini cupcakes. Step 3: To find the total number of cupcakes, multiply the number of trays by the number of cupcakes per tray: 8 × 24. Step 4: Calculate 8 × 20 = 160. Step 5: Calculate 8 × 4 = 32. Step 6: Add the two results together: 160 + 32 = 192. The bakery will bake 192 mini cupcakes in total.

  3. Sophia is organizing her sticker collection into an album. She notices that the number of stickers on each page follows a pattern: 8, 16, 24, 32, 40. If the pattern continues in the same way, how many stickers will be on the 8th page? Answer: 64 Solution: Look at the pattern: 8, 16, 24, 32, 40. Each number is 8 more than the previous one (skip counting by 8s). Step 2: Continue the pattern: Page 6: 40 + 8 = 48.
    Full step-by-step solution

    Step 1: Look at the pattern: 8, 16, 24, 32, 40. Each number is 8 more than the previous one (skip counting by 8s). Step 2: Continue the pattern: Page 6: 40 + 8 = 48. Page 7: 48 + 8 = 56. Page 8: 56 + 8 = 64. The 8th page will have 64 stickers.

  4. Aroha is making a rectangular pattern with coloured tiles on a grid. She places tiles in rows so that each row has the same number of tiles. She notices that the number of tiles in each row follows a skip-counting pattern: 9, 18, 27, 36, ... If she continues this pattern for 10 rows, how many tiles will be in the 10th row? Answer: 90 Solution: The pattern 9, 18, 27, 36, ... is the 9 times table. Each number is 9 multiplied by the row number.
    Full step-by-step solution

    Step 1: The pattern 9, 18, 27, 36, ... is the 9 times table. Each number is 9 multiplied by the row number. Step 2: The 1st row has 1 × 9 = 9 tiles. Step 3: The 2nd row has 2 × 9 = 18 tiles. Step 4: The 3rd row has 3 × 9 = 27 tiles. Step 5: The 4th row has 4 × 9 = 36 tiles. Step 6: Following this pattern, the 10th row will have 10 × 9 = 90 tiles. The answer is 90.

  5. 3, 6, 9, 12, 15, __ = ? Answer: 18 Solution: Each term increases by 3: 3, 6, 9, 12, 15. The next term is 15 + 3 = 18.
    Full step-by-step solution

    Step 1: Each term increases by 3: 3, 6, 9, 12, 15. Step 2: The next term is 15 + 3 = 18. The answer is 18.

  6. Hana is arranging flowers in a rectangular pattern for a school fair. She places them in rows, and the number of flowers in each row follows a skip-counting pattern from the 7 times table: 7, 14, 21, 28, __, __. If she continues this pattern for 6 rows, what is the total number of flowers in the last row? Answer: 42 Solution: The pattern is the 7 times table: 7, 14, 21, 28, ... Each number increases by 7: 7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21, 7 × 4 = 28 For 6 rows, we need the 6th number in the pattern.
    Full step-by-step solution

    Step 1: The pattern is the 7 times table: 7, 14, 21, 28, ... Step 2: Each number increases by 7: 7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21, 7 × 4 = 28 Step 3: For 6 rows, we need the 6th number in the pattern. Step 4: 7 × 5 = 35 (5th row) Step 5: 7 × 6 = 42 (6th row) Step 6: The last row has 42 flowers. The answer is 42.

  7. Emma is arranging stones in a pattern on the ground. She places 1 stone in the first row, 3 stones in the second row, 5 stones in the third row, and 7 stones in the fourth row. If she continues this pattern of adding 2 more stones each time, how many stones will be in the ninth row? Answer: 17 Solution: Row 1: 1 stone Row 2: 3 stones Row 3: 5 stones Row 4: 7 stones Notice the pattern: each row adds 2 more stones than the row before. This is the pattern of odd numbers.
    Full step-by-step solution

    Step 1: List the number of stones in each row: Row 1: 1 stone Row 2: 3 stones Row 3: 5 stones Row 4: 7 stones Step 2: Notice the pattern: each row adds 2 more stones than the row before. This is the pattern of odd numbers. Step 3: The pattern can be described as: stones in row n = 2 × n - 1 Step 4: For row 9, substitute n = 9: stones = 2 × 9 - 1 = 18 - 1 = 17 Step 5: Check by continuing the pattern: Row 5: 9 stones Row 6: 11 stones Row 7: 13 stones Row 8: 15 stones Row 9: 17 stones The answer is 17.

  8. A farmer plants tomato plants in a rectangular garden. The garden has 15 rows of plants, and each row contains 28 plants. If you visualize this arrangement as an array of dots where each dot represents one tomato plant, how many dots would be in the entire array? Answer: 420 Solution: The garden has 15 rows of tomato plants Each row contains 28 plants To find the total number of plants, multiply the number of rows by the number of plants in each row 15 × 28 = 15 × (20 + 8) = (15 × 20) + (15 × 8) = 300 + 120 = 420 Since each dot represents one plant, there would be 420 dots in…
    Full step-by-step solution

    Step 1: The garden has 15 rows of tomato plants Step 2: Each row contains 28 plants Step 3: To find the total number of plants, multiply the number of rows by the number of plants in each row Step 4: 15 × 28 = 15 × (20 + 8) = (15 × 20) + (15 × 8) = 300 + 120 = 420 Step 5: Since each dot represents one plant, there would be 420 dots in the array The answer is 420.