1. **Number Problems** These involve basic arithmetic, place value, fractions, decimals, percentages, ratio, proportion, and patterns. 2. **Measurement Problems** These include units conversion, length, area, volume, time, and shape-related questions. 3. **Algebra Problems** These cover simplifying expressions, expanding, factorising, graphing, and solving equations. --- ### Number Category Examples and Study Help 1. Operations: Calculate differences, total costs, rates, and time problems using basic arithmetic. 2. Place Value: Understand rounding rules and standard form notation. 3. Fractions & Decimals: Convert between fractions, decimals, and mixed numbers; add fractions. 4. Percentages: Convert percentages to fractions, calculate percentage values, and percentage increases. 5. Ratio and Proportion: Solve ratio equivalences and divide quantities proportionally. 6. Mixed: Ordering numbers, calculating discounts, and percentage changes. 7. Patterns: Identify sequences, find terms, and write algebraic rules. ### Measurement Category Examples and Study Help 1. Units: Convert between metric units (m to cm, g to mg, m³ to L). 2. Length, Area, Volume: Calculate perimeter, area of triangles and circles, and volume of cuboids. 3. Time: Convert seconds to minutes, calculate durations, and convert days to hours. 4. Shape: Understand rotations, identify polygons, and calculate interior angles. 5. Angles: Identify angle types, calculate unknown angles using angle rules. ### Algebra Category Examples and Study Help 1. Simplifying: Combine like terms and simplify expressions. 2. Expanding and Factorising: Expand brackets and factor expressions. 3. Graphing: Plot points, write equations of lines, and draw lines. 4. Solving: Solve linear equations and evaluate expressions for given variable values. --- This categorization aligns with the Year 9 New Zealand curriculum focusing on number sense, measurement, and algebraic thinking. You can practice each category by working through the problems listed under each heading. If you want, I can help solve specific problems or explain any topic in detail.