1. Identify whether the following numbers are rational or irrational: $\sqrt{16}$, $\pi$, $\frac{22}{7}$, $0.333\ldots$, $\sqrt{2}$. Explain your reasoning. 2. Compute the sum, difference, product, and quotient of the rational numbers $\frac{7}{8}$ and $-\frac{3}{4}$. 3. Convert the repeating decimal $0.727272\ldots$ into a fraction in simplest form. 4. Convert the terminating decimal $0.625$ into a fraction and simplify. 5. A person invests 5000 at a simple interest rate of 6% per annum. Calculate the interest earned after 3 years and the total amount. 6. Calculate the compound interest on 8000 invested at 5% per annum compounded annually for 4 years. 7. Solve the equation involving absolute value: $|3x - 7| = 8$. 8. Solve the equation $|2x + 5| + 3 = 10$. 9. A shopkeeper sells an item for 1200 after giving a discount of 15%. Find the marked price. 10. If $\frac{2}{3}$ of a number is 24, find the number. 11. Simplify the expression: $\left(\frac{5}{6} - \frac{1}{3}\right) \times \frac{9}{10}$. 12. Convert the repeating decimal $0.083333\ldots$ into a fraction. 13. A sum of money is invested at compound interest and doubles itself in 5 years. Find the annual rate of interest. 14. Solve for $x$: $|4x - 1| = 3x + 2$. 15. A loan of 10000 is taken at simple interest for 2 years. If the total amount to be paid is 11200, find the rate of interest. These questions cover identification and operations on rational numbers, conversion of decimals to fractions, solving real-life problems involving simple and compound interest, and equations involving absolute value, providing a challenging worksheet for practice.