1. \( 3 + \frac{1}{2} \times (4 - 2) \div 0.5 \)
2. \( \left( 5 + 2^3 \right) \div \left( 3 - \frac{1}{3} \right) \times 0.6 \)
3. \( 7.5 \div \left( 2 + \frac{3}{4} \times 2 \right) + 1.25 \)
4. \( \left( \frac{4}{5} + 1.2 \right) \times \left( 3 - \frac{2}{3} \right) \)
5. \( 2 \times \left( 3 + \frac{1}{2} \times 4 \right) - 5 \div 0.5 \)
6. \( \left( 6 - \frac{2}{3} \times 3 \right) \div \left( 1.5 + 0.5 \right) + 2^2 \)
7. \( \frac{5}{2} \times \left( 4 + 1.5 \right) - \left( 3 \div \frac{3}{4} \right) \)
8. \( 10 \div \left( 2 + \frac{1}{2} \right) \times \left( 1 + 3^2 \right) \)
9. \( \left( \frac{3}{4} + 2.25 \right) \times \left( 4 - 1.5 \right) \div 0.5 \)
10. \( 8 + \left( \frac{2}{5} \times 10 \right) \div \left( 3 - 1 \right) \times 2 \)

Answer Key

Answer 1:
\( 3 + \frac{1}{2} \times (4 - 2) \div 0.5 \)
1. Solve inside the brackets: \(4 - 2 = 2\)
2. Multiply: \(\frac{1}{2} \times 2 = 1\)
3. Divide: \(1 \div 0.5 = 2\)
4. Add: \(3 + 2 = 5\)

Answer 2:
\( \left( 5 + 2^3 \right) \div \left( 3 - \frac{1}{3} \right) \times 0.6 \)
1. Calculate exponents: \(2^3 = 8\)
2. Solve inside the first brackets: \(5 + 8 = 13\)
3. Solve inside the second brackets: \(3 - \frac{1}{3} = \frac{8}{3}\)
4. Divide: \(13 \div \frac{8}{3} = 13 \times \frac{3}{8} = \frac{39}{8} = 4.875\)
5. Multiply: \(4.875 \times 0.6 = 2.925\)

Answer 3:
\( 7.5 \div \left( 2 + \frac{3}{4} \times 2 \right) + 1.25 \)
1. Multiply: \(\frac{3}{4} \times 2 = \frac{6}{4} = 1.5\)
2. Add inside the brackets: \(2 + 1.5 = 3.5\)
3. Divide: \(7.5 \div 3.5 \approx 2.142857\)
4. Add: \(2.142857 + 1.25 = 3.392857\)
Approximately \(3.392857\) or \(3.3929\) (rounded to four decimal places)

Answer 4: \( \left( \frac{4}{5} + 1.2 \right) \times \left( 3 - \frac{2}{3} \right) \)
1. Convert \(\frac{4}{5}\) to decimal: \(0.8\)
2. Add inside the first brackets: \(0.8 + 1.2 = 2.0\)
3. Convert \(\frac{2}{3}\) to decimal: \(0.\overline{6}\)
4. Subtract inside the second brackets: \(3 - 0.\overline{6} = 2.\overline{3}\)
5. Multiply: \(2.0 \times 2.\overline{3} = 4.\overline{6}\)
Approximately \(4.6667\)

Answer 5:
\( 2 \times \left( 3 + \frac{1}{2} \times 4 \right) - 5 \div 0.5 \)
1. Multiply: \(\frac{1}{2} \times 4 = 2\)
2. Add inside the brackets: \(3 + 2 = 5\)
3. Multiply: \(2 \times 5 = 10\)
4. Divide: \(5 \div 0.5 = 10\)
5. Subtract: \(10 - 10 = 0\)

Answer 6:
\( \left( 6 - \frac{2}{3} \times 3 \right) \div \left( 1.5 + 0.5 \right) + 2^2 \)
1. Multiply: \(\frac{2}{3} \times 3 = 2\)
2. Subtract inside the first brackets: \(6 - 2 = 4\)
3. Add inside the second brackets: \(1.5 + 0.5 = 2\)
4. Divide: \(4 \div 2 = 2\)
5. Calculate exponent: \(2^2 = 4\)
6. Add: \(2 + 4 = 6\)

Answer 7:
\( \frac{5}{2} \times \left( 4 + 1.5 \right) - \left( 3 \div \frac{3}{4} \right) \)
1. Add inside the brackets: \(4 + 1.5 = 5.5\)
2. Multiply: \(\frac{5}{2} \times 5.5 = \frac{5}{2} \times \frac{11}{2} = \frac{55}{4} = 13.75\)
3. Divide: \(3 \div \frac{3}{4} = 3 \times \frac{4}{3} = 4\)
4. Subtract: \(13.75 - 4 = 9.75\)

Answer 8:
\( 10 \div \left( 2 + \frac{1}{2} \right) \times \left( 1 + 3^2 \right) \)
1. Add inside the first brackets: \(2 + \frac{1}{2} = 2.5\)
2. Calculate exponent: \(3^2 = 9\)
3. Add inside the second brackets: \(1 + 9 = 10\)
4. Divide: \(10 \div 2.5 = 4\)
5. Multiply: \(4 \times 10 = 40\)

Answer 9:
\( \left( \frac{3}{4} + 2.25 \right) \times \left( 4 - 1.5 \right) \div 0.5 \)
1. Convert \(\frac{3}{4}\) to decimal: \(0.75\)
2. Add inside the first brackets: \(0.75 + 2.25 = 3.0\)
3. Subtract inside the second brackets: \(4 - 1.5 = 2.5\)
4. Multiply: \(3.0 \times 2.5 = 7.5\)
5. Divide: \(7.5 \div 0.5 = 15\)

Answer 10:
\( 8 + \left( \frac{2}{5} \times 10 \right) \div \left( 3 - 1 \right) \times 2 \)
1. Multiply: \(\frac{2}{5} \times 10 = 4\)
2. Subtract inside the brackets: \(3 - 1 = 2\)
3. Divide: \(4 \div 2 = 2\)
4. Multiply: \(2 \times 2 = 4\)
5. Add: \(8 + 4 = 12\)