International Mathematics 0607/62 Oct Nov 2024 | Cambridge IGCSE Past Papers With Mark Scheme

1. Reverse Differences Investigation | Patterns in differences between reversed numbers, generalizing results for 2-digit and 3-digit numbers.

2. Number Theory & Divisibility | Identifying multiples in reverse difference calculations, finding common properties in numerical sequences.

3. Factorization & Algebraic Proofs | Expressing reverse differences algebraically, factorizing results, determining conditions for specific differences.

4. Generalization to Larger Numbers | Extending reverse difference rules to 5-digit numbers, deriving general expressions.

5. Newsprint Mass Calculation | Determining the mass of newspapers based on paper dimensions and circulation, applying unit conversions.

6. Mathematical Modelling of Paper Usage | Creating formulas for newspaper mass based on variables such as sheet size, density, and circulation.

7. Tree Growth & Wood Volume Estimation | Using geometric models for tree trunks, estimating the number of trees needed for newsprint production.

8. Grid-Based Tree Planting & Optimization | Calculating tree density in a plantation, modeling the relationship between spacing and tree count.

9. Graphical Interpretation & Real-Life Application | Sketching functions based on tree spacing, verifying compliance with recommended planting distances.

10. Sustainability & Land Area Requirements | Estimating the land needed for newspaper production based on tree density and wood conversion rates.