Pascal's Triangle Worksheet

Pascal's Triangle Exploration

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Pascal's Triangle starts with a single number   at the top, which is considered row 0.

2. Each number in Pascal's Triangle is the   of the two numbers directly above it.

3. The numbers along the edges of Pascal's Triangle are always  .

4. Complete the 5th row of Pascal's Triangle (Row 0 is 1):

Row 0: 1

Row 1: 1 1

Row 2: 1 2 1

Row 3: 1 3 3 1

Row 4: 1 4 6 4 1

Row 5: __ __ __ __ __ __

5. What is the sum of the numbers in the 4th row of Pascal's Triangle (starting with Row 0)?

6. The numbers in each row of Pascal's Triangle are symmetric.

7. Use Pascal's Triangle to expand the binomial expression (x + y)³.

8. What is the coefficient of the x²y³ term in the expansion of (x + y)⁵?