1. Algebraic Manipulation & Kinematics: Rearranging equations to make a variable the subject, calculating initial velocity of a rocket using kinematic equations. 2. Probability & Estimation: Using experimental data to estimate the number of red counters in a bag, comparing estimates from different sample sizes, and justifying reliability. 3. Graph Interpretation & Proportions: Sketching an inverse proportionality graph, solving a time-rate problem involving water flow from multiple hoses. 4. Geometrical Constructions & Transformations: Using ruler and compass to find equidistant points from given lines, solving for unknowns in symmetrical logo design with rotational symmetry. 5. Statistics & Data Representation: Interpreting a histogram and box plot, estimating frequency, range, and making comparative statistical observations. 6. Quadratic & Exponential Functions: Solving quadratic equations graphically, exponential pricing model for airline tickets, finding the 40th ticket price, and solving a geometric sequence problem.