Quick Tables And Square Numbers (pg. 2) Worksheet for 4th - 5th ... - Free Printable

Problem Analysis:

The task involves solving a series of addition problems and identifying patterns in the sums. Let's break it down step by step.

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#### Part 1: Solve the Addition Problems
We are given several addition problems to solve:

1. How many squirrels are there in 35?
- This question is unclear because "squirrels" is not a mathematical term here. It seems like a typo or misinterpretation. We'll assume it means solving the sum \(3 + 5\).
- \(3 + 5 = 8\)

2. How many flowers are there in 27?
- Similarly, this seems like a typo. Assuming it means solving the sum \(2 + 7\).
- \(2 + 7 = 9\)

3. How many trees are there in 47?
- Again, assuming it means solving the sum \(4 + 7\).
- \(4 + 7 = 11\)

4. How many trees are there in 17?
- Assuming it means solving the sum \(1 + 7\).
- \(1 + 7 = 8\)

5. How many faces are there in 67?
- Assuming it means solving the sum \(6 + 7\).
- \(6 + 7 = 13\)

6. How many rights are there in 87?
- Assuming it means solving the sum \(8 + 7\).
- \(8 + 7 = 15\)

7. How many stars are there in 97?
- Assuming it means solving the sum \(9 + 7\).
- \(9 + 7 = 16\)

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#### Part 2: Add and Write the Sums for All Numbers Up to 13
We need to add all the numbers from 1 to 13 and write the sums.

- \(1 + 2 = 3\)
- \(3 + 3 = 6\)
- \(6 + 4 = 10\)
- \(10 + 5 = 15\)
- \(15 + 6 = 21\)
- \(21 + 7 = 28\)
- \(28 + 8 = 36\)
- \(36 + 9 = 45\)
- \(45 + 10 = 55\)
- \(55 + 11 = 66\)
- \(66 + 12 = 78\)
- \(78 + 13 = 91\)

So, the final sum is:
\[ \boxed{91} \]

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#### Part 3: Use the Significant Pattern You Found
The pattern observed in Part 2 is that we are adding consecutive numbers starting from 1 up to 13. The formula for the sum of the first \(n\) natural numbers is:
\[ S_n = \frac{n(n + 1)}{2} \]

For \(n = 13\):
\[ S_{13} = \frac{13 \times (13 + 1)}{2} = \frac{13 \times 14}{2} = \frac{182}{2} = 91 \]

This confirms our manual addition result.

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Final Answer:

The answers to the questions are as follows:

1. \(3 + 5 = 8\)
2. \(2 + 7 = 9\)
3. \(4 + 7 = 11\)
4. \(1 + 7 = 8\)
5. \(6 + 7 = 13\)
6. \(8 + 7 = 15\)
7. \(9 + 7 = 16\)

The sum of all numbers from 1 to 13 is:
\[ \boxed{91} \]