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I can help solve the problems on the worksheet you provided! Here is a step-by-step breakdown:

### 1. Calculate the Squares:
- **a) \(9^2\)** = \(81\)
- **b) \(3^2\)** = \(9\)
- **c) \(1^2\)** = \(1\)
- **d) \(13^2\)** = \(169\)
- **e) \(7^2\)** = \(49\)
- **f) \(11^2\)** = \(121\)
- **g) \(8^2\)** = \(64\)
- **h) \(15^2\)** = \(225\)

### 2. Solve the Expressions:
- **a) \(6^2 + 2^2 = 36 + 4 = 40\)**
- **b) \(10^2 - 3^2 = 100 - 9 = 91\)**
- **c) \(20^2 - 10^2 = 400 - 100 = 300\)**
- **d) \(8^2 + 5^2 - 3^2 = 64 + 25 - 9 = 80\)**
- **e) \(10^2 - 3^2 + 7^2 = 100 - 9 + 49 = 140\)**
- **f) \(20^2 - 10^2 + 4^2 = 400 - 100 + 16 = 316\)**

### 3. Calculate the Cubes:
- **a) \(2^3 = 8\)**
- **b) \(3^3 = 27\)**
- **c) \(1^3 = 1\)**
- **d) \(10^3 = 1000\)**
- **e) \(5^3 = 125\)**
- **f) \(20^3 = 8000\)**
- **g) \(4^3 = 64\)**
- **h) \(9^3 = 729\)**

### 4. Solve the Cube Subtractions:
- **a) \(5^3 - 5^2 = 125 - 25 = 100\)**
- **b) \(2^3 - 2^2 = 8 - 4 = 4\)**
- **c) \(3^2 - 2^3 = 9 - 8 = 1\)**
- **d) \(3^3 - 2^2 = 27 - 4 = 23\)**
- **e) \(4^3 - 3^3 = 64 - 27 = 37\)**
- **f) \(10^3 - 5^3 = 1000 - 125 = 875\)**

Would you like further details on any of these calculations or have any questions?

### Related Questions for Further Study:
1. How do you calculate the cube of a number?
2. What is the difference between squares and cubes of a number?
3. Why is understanding exponents important in algebra?
4. How are squares and cubes applied in real-life scenarios?
5. What are some tips for quickly calculating squares and cubes without a calculator?

### Tip:
Remember that squaring a number is multiplying it by itself, and cubing is multiplying the number by itself twice more!

Solve square and cube number problems from a worksheet.

This worksheet focuses on calculating square and cube numbers. Solve expressions involving squares, cubes, and their differences. Suitable for students in grades 6-8, this worksheet includes calculations like 9^2, 3^3, and more.

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