Paper 4:
Business Mathematics and Statistics Fundamentals (One Paper: 3 hours: 100
marks)
1. Arithmetic
10%
Average, mixtures, Ratios and proportions, Computation of interest,
Discounting of bills
2. Algebra 15%
a)
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
b)
Permutations
and Combinations, Compound interest
c)
Linear
simultaneous equations (3 variables only), Quadratic equations, Solution of
linear inequalities (by geometric method only)
3. Mensuration
15%
Area and perimeter of triangles, circles, parallelogram, regular
polygon Volume and surface of cube, prism, cylinder, pyramid, cone, and spheres
(including zone and segments)
4. Co-ordinate
Geometry 10%
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)
5.Calculus 15%
a)
Constant
&Variables, Functions, Limit & Continuity,
b)
Differentiability
& Differentiation, Derivatives and their use, Successive & partial
differentiation, Maxima & Minima, Maxima & Minima under constraint
using Lagrange transform
c)
Indefinite
Integrals: as primitives, integration by substitution, integration by part
d)
Definite
Integrals: Evaluation of standard integrals, as area under curve Applications
of Calculus
6. Statistical
Methods 35%
a)
Data
tabulation and presentation, frequency distribution
b)
Measures
of Central Tendency (Mean, Median, mode)
c)
Measurement
of Dispersion (range, mean deviation, standard deviation, variance)
Measures of Skewness & kurtosis
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