Partition Shapes

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Answer Key & Explanations

Partition Shapes · Grade 1 · Worksheet 2

1. A triangle is divided into 3 equal parts. How many parts are there? Answer: 3 Solution: The problem says a triangle is divided into equal parts It tells us the triangle is divided into 3 equal parts So the number of parts is 3 The answer is 3.
   Full step-by-step solution

   Step 1: The problem says a triangle is divided into equal parts Step 2: It tells us the triangle is divided into 3 equal parts Step 3: So the number of parts is 3 The answer is 3.

2. Noah has a square-shaped piece of cardboard. He cuts it into 4 equal parts to make coasters for his family. What is each equal part called? Answer: fourth Solution: Noah starts with a square-shaped piece of cardboard. He cuts it into 4 equal parts. This means the whole square is divided into 4 pieces that are all the same size.
   Full step-by-step solution

   Step 1: Noah starts with a square-shaped piece of cardboard. He cuts it into 4 equal parts. This means the whole square is divided into 4 pieces that are all the same size. Step 2: When a shape is divided into 4 equal parts, each part is called a fourth. Step 3: The answer is fourth.

3. A rectangle has 3 rows of stars. Each row has 5 stars. How many stars are there in total? Answer: 15 Solution: We have a rectangle with 3 rows of stars. Each row contains 5 stars. Determine the operation.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangle with 3 rows of stars. Each row contains 5 stars. Step 2: Determine the operation. To find the total number of stars, we can add the number of stars in each row. Since each row has the same number of stars, we can also multiply the number of rows by the number of stars per row. Step 3: Perform the calculation. Number of rows = 3 Stars per row = 5 Total stars = 3 × 5 = 15 Step 4: Verify by addition. Row 1: 5 stars Row 2: 5 stars Row 3: 5 stars Total = 5 + 5 + 5 = 15 Step 5: Conclusion. Both multiplication and addition give the same result. Therefore, the total number of stars is 15.

4. 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.

5. A square is divided into 4 equal parts. Each part is the same size. How many parts make up the whole square? Answer: 4 Solution: 1. We start with one whole square. 2.
   Full step-by-step solution

   Let's go step by step. 1. We start with one whole square. 2. The problem says the square is divided into 4 equal parts. 3. That means the whole square is split into 4 smaller parts of the same size. 4. If we put these 4 parts together, they make the whole square. 5. Therefore, the number of parts that make up the whole square is 4. Answer: 4

6. Liam has a rectangular chocolate bar that is divided into 8 equal pieces. He gives 3 pieces to his friend Emma. How many pieces of chocolate does Liam have left? Answer: 5 Solution: Liam starts with a chocolate bar divided into 8 equal pieces. He gives away 3 pieces to Emma. 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 to Emma. We need to find how many pieces he has left. Step 2: Write the starting amount. Liam initially has 8 pieces. Step 3: Subtract the pieces given away. He gives away 3 pieces, 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. Step 5: Final answer. Liam has 5 pieces of chocolate left.

7. Mason has a square sheet of paper. He folds it to make 2 equal parts. What is each part called? Answer: A half Solution: Mason starts with a square piece of paper. He folds it so that the paper is divided into 2 equal parts. When a shape is divided into 2 equal parts, each part is called a half.
   Full step-by-step solution

   Step 1: Mason starts with a square piece of paper. Step 2: He folds it so that the paper is divided into 2 equal parts. Step 3: When a shape is divided into 2 equal parts, each part is called a half. The answer is: a half.

8. Emma has a rectangular sheet of paper. She folds it into 8 equal parts. If she colors 3 parts blue, how many parts are not colored? Answer: 5 Solution: Emma folds the paper into 8 equal parts. She colors 3 parts blue. To find how many parts are not colored, subtract the colored parts from the total parts: 8 - 3 8 - 3 = 5 The answer is 5.
   Full step-by-step solution

   Step 1: Emma folds the paper into 8 equal parts. Step 2: She colors 3 parts blue. Step 3: To find how many parts are not colored, subtract the colored parts from the total parts: 8 - 3 Step 4: 8 - 3 = 5 The answer is 5.