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:** \(5\) --- ### **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:** \(2.925\) --- ### **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: \(2.142857 + 1.25 = 3.392857\) **Answer:** 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: \(2.0 \times 2.\overline{3} = 4.\overline{6}\) **Answer:** 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:** \(0\) --- ### **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:** \(6\) --- ### **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:** \(9.75\) --- ### **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:** \(40\) --- ### **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:** \(15\) --- ### **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: \(8 + 4 = 12\) **Answer:** \(12\) --- Feel free to attempt these questions on your own first. If you need any further explanations or assistance with any of the solutions, just let me know!