1. | Arithmetic | 10% |
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| • | Average, mixtures | • | Ratios and proportions | • | Computation of interest | • | Discounting of bills |
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2. | Algebra | 15% |
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| • | Real and imaginary number, rational and irrational number | • | Set theory and simple application of Venn diagram | • | Truth table and its applications | • | Indices and surds | • | Variation, Logarithms | • | Permutations and Combinations | • | Compound interest | • | Linear simultaneous equations ( 3 variables only) | • | Quadratic equations | • | Solution of linear inequalities ( by geometric method only) |
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3. | Mensuration | 15% |
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| • | Area and perimeter of triangles, circles, parallelogram, regular polygon | • | Volume and surface of cube, prism, cylinder, pyramid, cone, and spheres ( including zone and segments) |
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4. | Co–ordinate Geometry | 10% |
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| • | Plain co–ordinate Geometry ( Rectangular Cartesian co–ordinates only) | • | Length of line segments, Section ratio | • | Gradient of a line, equation of straight line, Circles, parabola, ellipse and hyperbola ( standard forms only) |
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5. | Calculus | 15% |
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| • | Constant &Variables, Functions, Limit & Continuity | • | Differentiability & Differentiation, Derivatives and their use, Successive & partial differentiation | • | Maxima & Minima, Maxima & Minima under constraint using Lagrange transform | • | Indefinite Integrals: as primitives, integration by substitution, integration by part | • | Definite Integrals: Evaluation of standard integrals, as area under curve | • | Applications of Calculus |
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6. | Statistical Methods | 35% |
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| • | Data tabulation and presentation, frequency distribution | • | Measures of Central Tendency ( Mean, Median, mode) | • | Measurement of Dispersion ( range, mean deviation, standard deviation, variance) | • | Measures of Skewness & kurtosis |
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