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Partition Shapes

Grade 1 · Geometry · Worksheet 3

  1. Liam has a rectangular chocolate bar with 4 rows. Each row has 3 chocolate pieces. How many chocolate pieces are there in total? Answer: ______________
  2. A square is divided into 4 equal parts. How many parts are there? Answer: ______________
  3. Liam has a rectangular chocolate bar that is divided into 8 equal pieces. He gives 3 pieces to his friend Emma. How many pieces does Liam have left? Answer: ______________
  4. Sophia divided a rectangle into 3 equal parts. What is each part called? Answer: ______________
  5. Lily has a rectangular sheet of paper with 6 equal parts. She colors 2 parts blue for the sky and 3 parts green for grass. How many parts of the paper are not colored? Answer: ______________
  6. A rectangle has 6 rows of stickers. Each row has 5 stickers. How many stickers are there in total?
    Answer: ______________
  7. A rectangle is divided into 5 equal rows. Each row is divided into 2 equal parts. How many equal parts are there in total? Answer: ______________
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Answer Key & Explanations

Partition Shapes · Grade 1 · Worksheet 3

  1. Liam has a rectangular chocolate bar with 4 rows. Each row has 3 chocolate pieces. How many chocolate pieces are there in total? Answer: 12 Solution: We are told that Liam has a rectangular chocolate bar with 4 rows, and each row has 3 chocolate pieces. We want to find the total number of chocolate pieces. The chocolate bar has 4 rows.
    Full step-by-step solution

    We are told that Liam has a rectangular chocolate bar with 4 rows, and each row has 3 chocolate pieces. We want to find the total number of chocolate pieces. Step 1: Understand the arrangement. The chocolate bar has 4 rows. Each row contains 3 pieces. Step 2: Think about how to calculate the total. If 1 row has 3 pieces, then 4 rows will have: 3 pieces + 3 pieces + 3 pieces + 3 pieces. Step 3: That is the same as multiplication: 4 rows × 3 pieces per row = total pieces. Step 4: Perform the multiplication: 4 × 3 = 12. Step 5: Interpret the result: So, the total number of chocolate pieces is 12. Final answer: 12

  2. A square is divided into 4 equal parts. How many parts are there? Answer: 4 Solution: We start with one whole square. Interpret "divided into 4 equal parts." This means the square is split into 4 smaller regions of equal size. Count the parts.
    Full step-by-step solution

    Step 1: Understand the problem. We start with one whole square. Step 2: Interpret "divided into 4 equal parts." This means the square is split into 4 smaller regions of equal size. Step 3: Count the parts. After dividing, we have exactly 4 parts. Step 4: Conclusion. The number of parts is 4.

  3. Liam has a rectangular chocolate bar that is divided into 8 equal pieces. He gives 3 pieces to his friend Emma. How many pieces does Liam have left? Answer: 5 Solution: Liam starts with a chocolate bar divided into 8 equal pieces. He gives away 3 pieces. We need to find how many pieces he has left.
    Full step-by-step solution

    Step 1: Understand the problem. Liam starts with a chocolate bar divided into 8 equal pieces. He gives away 3 pieces. We need to find how many pieces he has left. Step 2: Write the starting number of pieces. Liam initially has 8 pieces. Step 3: Subtract the pieces given away. He gives 3 pieces to Emma, so we subtract 3 from 8. Calculation: 8 - 3 = 5. Step 4: Interpret the result. After giving away 3 pieces, Liam has 5 pieces left. Final Answer: 5

  4. Sophia divided a rectangle into 3 equal parts. What is each part called? Answer: a third Solution: Sophia has a rectangle. She cuts it into 3 equal pieces. Step 2: When a shape is divided into 3 equal parts, each part is called one third.
    Full step-by-step solution

    Step 1: Sophia has a rectangle. She cuts it into 3 equal pieces. Step 2: When a shape is divided into 3 equal parts, each part is called one third. Step 3: So the answer is 'a third'.

  5. Lily has a rectangular sheet of paper with 6 equal parts. She colors 2 parts blue for the sky and 3 parts green for grass. How many parts of the paper are not colored? Answer: 1 Solution: Lily's paper has 6 equal parts total. She colors 2 parts blue and 3 parts green, so she colored 2 + 3 = 5 parts. To find how many parts are not colored, subtract the colored parts from the total: 6 - 5 = 1.
    Full step-by-step solution

    Step 1: Lily's paper has 6 equal parts total. Step 2: She colors 2 parts blue and 3 parts green, so she colored 2 + 3 = 5 parts. Step 3: To find how many parts are not colored, subtract the colored parts from the total: 6 - 5 = 1. The answer is 1.

  6. A rectangle has 6 rows of stickers. Each row has 5 stickers. How many stickers are there in total? Answer: 30 Solution: There are 6 rows of stickers. Each row has 5 stickers. To find the total, add 5 stickers six times: 5 + 5 + 5 + 5 + 5 + 5.
    Full step-by-step solution

    Step 1: There are 6 rows of stickers. Step 2: Each row has 5 stickers. Step 3: To find the total, add 5 stickers six times: 5 + 5 + 5 + 5 + 5 + 5. Step 4: 5 + 5 = 10, 10 + 5 = 15, 15 + 5 = 20, 20 + 5 = 25, 25 + 5 = 30. The answer is 30.

  7. A rectangle is divided into 5 equal rows. Each row is divided into 2 equal parts. How many equal parts are there in total? Answer: 10 Solution: There are 5 rows. Each row has 2 equal parts. To find the total number of parts, multiply the number of rows by the number of parts in each row.
    Full step-by-step solution

    Step 1: There are 5 rows. Step 2: Each row has 2 equal parts. Step 3: To find the total number of parts, multiply the number of rows by the number of parts in each row. Step 4: 5 x 2 = 10 The answer is 10.