https://file.aiquickdraw.com/mathbot/file/17283308595553hij9vka.jpg

Let's go through the problems one by one.

### Question 10:
You are asked to create the largest and smallest 3-digit numbers using the digits from the cards: **4, 5, 0, 1, 9**.

- **Largest Number**: 
  To get the largest 3-digit number, we use the three largest digits: 9, 5, and 4. Thus, the largest number is **954**.
  
- **Smallest Number**:
  To get the smallest number, we want to use the smallest digits. To avoid a leading zero, we must use the digit 1 as the first digit. Therefore, the smallest number is **104**.

Hence, the correct option is:
- **C**: The largest: 954, the smallest: 104.

### Question 11:
The numbers are placed in a grid, and we need to determine the value of **A**. 

Let's analyze the grid:
```
1   4   9   16  A
2   3   8   15
5   6   7   14
10  11  12  13
```
The pattern follows a specific logic of filling numbers in an alternating sequence from left to right, then top to bottom. 

Looking at the pattern from the first row:
- 1, 4, 9, 16 are all **perfect squares** (1², 2², 3², 4²), so it seems that **A** should be the next perfect square, which is **5² = 25**.

So, the correct option is:
- **D**: 25.

### Question 12:
The discs of the Othello game alternate between black and white, starting with black. The sequence alternates every two discs.

Looking at the pattern:
- Every third position seems to be a black disc (since black comes after every white disc).
- At the 33rd position, we need to count how many black discs have appeared.

Since the pattern alternates every 2 positions, the number of black discs up to the 33rd position is approximately:
\[
\frac{33}{2} = 16 \text{ black discs}.
\]
Thus, the closest answer is:
- **C**: 18 discs.

Let me know if you'd like further clarification or details.

### Related Questions:
1. How can you recognize patterns in number grids like the one in Question 11?
2. Why can't zero be the leading digit when forming a 3-digit number?
3. What are the mathematical patterns in alternating sequences like those in Othello?
4. Can you form other numbers using all five digits in Question 10 and compare their sizes?
5. How does the rule of alternating discs in Othello affect different positions in the sequence?

**Tip**: When working with number patterns, looking for sequences (like squares or primes) often reveals the underlying rule.

Using the following five cards, the largest and smallest 3-digit numbers are made. Which of the options below displays the answers correctly? Cards: 4, 5, 0, 1, 9.

Discover how to find the largest and smallest 3-digit numbers using the digits 4, 5, 0, 1, and 9. This problem involves understanding place value and constructing numbers while avoiding leading zeros.

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