Free Fourth Grade Math Games for Home Learning or School by Games ... - Free Printable

Problem Description:

The task involves solving a math game called "Kitty Cats Find a Multiple," where players use colored pencils to find and mark multiples of a given number on a grid. The goal is to identify all the numbers in the grid that are multiples of the chosen number.

#### Key Information from the Image:
1. Game Setup:
- Players choose a colored pencil.
- Each player selects a number (e.g., 4, 5, 6, etc.) and finds all its multiples in the grid.
- The first player to find all the multiples of their chosen number wins.

2. Grids:
- Game 1: Contains numbers ranging from 55 to 99.
- Game 2: Contains numbers ranging from 45 to 99.

3. Rules:
- Players must identify all multiples of their chosen number in the grid.
- The grid numbers are arranged in a specific order, and players must carefully check each number.

---

Solution Approach:

To solve this problem, we need to:
1. Identify the multiples of the chosen number within the range of the grid.
2. Mark all such multiples in the grid.
3. Ensure no multiples are missed and no non-multiples are marked.

#### Example: Finding Multiples of 4
Let's solve for one of the numbers, say 4, as an example.

##### Step 1: Understand the Range
- In Game 1, the numbers range from 55 to 99.
- In Game 2, the numbers range from 45 to 99.

##### Step 2: Identify Multiples of 4
A number is a multiple of 4 if it can be divided by 4 with no remainder. We will list all multiples of 4 within the given ranges.

- Multiples of 4 in Game 1 (55–99):
- Start with the smallest multiple of 4 greater than or equal to 55: \( 56 \).
- Continue adding 4 until we exceed 99: \( 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).

- Multiples of 4 in Game 2 (45–99):
- Start with the smallest multiple of 4 greater than or equal to 45: \( 48 \).
- Continue adding 4 until we exceed 99: \( 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).

##### Step 3: Mark the Multiples
Using the identified multiples, mark them in the respective grids. For example:
- In Game 1, mark the numbers: \( 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).
- In Game 2, mark the numbers: \( 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).

---

General Strategy for Any Number:

1. Choose a number (e.g., 5, 6, 7, etc.).
2. Determine the smallest multiple of that number within the grid's range.
3. List all multiples by repeatedly adding the chosen number.
4. Mark these multiples in the grid.

#### Example: Finding Multiples of 5
- Multiples of 5 in Game 1 (55–99):
- Smallest multiple: \( 55 \).
- Multiples: \( 55, 60, 65, 70, 75, 80, 85, 90, 95 \).

- Multiples of 5 in Game 2 (45–99):
- Smallest multiple: \( 45 \).
- Multiples: \( 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95 \).

Mark these multiples in the respective grids.

---

Final Answer:

The solution involves identifying and marking all multiples of the chosen number in the grid. For any specific number, follow the steps above to list and mark the multiples.

For example, if the chosen number is 4:
- Game 1: Mark \( 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).
- Game 2: Mark \( 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \).

Thus, the final answer for multiples of 4 is:
\[
\boxed{56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \text{ (Game 1)}}
\]
\[
\boxed{48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 \text{ (Game 2)}}
\]