Tech Mathematics Collectable marks for grade12 1

TECHNICAL MATHEMATICS GRADE 12 COLLECTABLE MARKS QUESTION POSSIBLE QUESTIONS METHOD MARKS Q.1 1.1 Quadratic Equations  Solving for “x” ±6 2 e.g 1. 𝑥 − 81 = 0 using a quadratic Formula / 2. − 2𝑥 2 − 𝑥 = −4 Factorization  Rounding off to TWO decimal places 1.2 Quadratic Inequality Finding the critical values ±3 e.g (𝑥 − 3)(𝑥 + 5) ≤ 0 by Factorization/ Formula then find the solutions 1.3 Simultaneous equations 1.1 Solve for x and y ±6 𝑥 2 + 2𝑥𝑦 = 3𝑦 2 − 7 and 3𝑥 − 𝑦 = 1 simultaneously 1.4 Manipulation of Formula At least substitution in a ±2 5 formula C  ( F  32) 9 1.5 Binary Numbers  Write 100 as a ±2 Write 100 as a binary number binary number  OR Write as a Decimal SUB TOTAL ± 18 Q.3 3.1 Surds Simplifying Surds ±3

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https://ultradeep.co.za √72(√32 − √18) 3.3 Complex Number  Sketch ±8 𝑧̅ = √3 + 𝑖.  Express in Polar SUB- TOTAL ± 11 Q.4 4.2 AND 4.3 Circle and a Tangent / Straight line  Determine the ± 6 OR ± 3 equation of a circle given either a point or radius  Finding Point of intersection ie Solving the two equations simultaneously SUB- TOTAL ±6/3 Q.5 5.1 Ellipse Sketch the graph ±4 https://tvetpapers.co.za

https://ultradeep.co.za 4𝑥 2 + 16𝑦 2 = 64 SUB- TOTAL ±4 Q.7 7.1 FIRST PRINCIPLE  Writing the formula ±5 𝑓(𝑥) = −2𝑥 − 1. down  Substitution in correct formula 7.2 Derivatives At-least few simple terms ±4 𝑑 4 (−𝑥 + 2𝑥 3 3 − √𝑥 2 + 5𝑥 − 1) −𝑥 4 𝑑𝑥 2𝑥 3 5𝑥 −1 SUB- TOTAL ±9 Q.8 8.1 CUBIC Function  Showing that x – a ±6 𝑓(𝑥) = −𝑥 3 + 2𝑥 2 + 5𝑥 − 6 is a factor  Factorizing and solve for x SUB- TOTAL ±6 Q.10 10.1 INTEGRATION Finding the integral ±4 2 ∫(𝑥 − 6𝑥 − 5) 𝑑𝑥 https://tvetpapers.co.za

https://ultradeep.co.za 10.2 y Determine the shaded area ±6 h( x )   3 x 2  3 1 0 x f SUB-TOTAL ± 10 TOTAL ± 64 https://tvetpapers.co.za