1. Surds and primes in complex numbers, rationalizing denominators, expressing in standard form, identifying prime number b and integer a

2. Infinite geometric series with nth term 8(1–2ⁿ), convergence condition |r|<1, first term identification, use of formula S = a/(1–r)

3. Sector calculations: arc length = rθ, area = ½r²θ, solving simultaneous equations for radius r and angle θ in radians from given sector area and arc length

4. Curve and line intersections: solving y = x²/4 + 2 and 2y – x – 4 = 0, determining points A and B, integrating πx² with respect to y for volume of solid of revolution

5. Graph sketching of linear inequalities, region shading, determining feasible region R, minimizing objective function P = 2x – 5y using vertices of region

6. Integration of rational functions using partial fractions, decomposition into simpler terms, integrating individual terms, combining results with logarithmic expressions