AHSEC HS 2nd Year Syllabus 2026 Business Mathematics And Statistics

Assam Higher Secondary Education Council (AHSEC)

2nd Year Syllabus

BUSINESS MATHEMATICS & STATISTICS
SYLLABUS FOR HIGHER SECONDARY FINAL YEAR COURSE
One Paper Three Hours Marks 100
Unitwise Distribution of Marks and Periods :
Unit No Title Marks Periods
GROUP-A : BUSINESS MATHEMATICS (60 Marks)
Unit - 1 Simple and Compound Interest 15 30
Unit - 2 Linear inequalities 25 50
Unit - 3 (a) Set Theory 20 40
(b) Determinants
(c) Matrices
Unit - 4 Statistical Average 12 25
Positional measures }
Unit - 5 Measures of Dispersion (Variation) 12 25
Unit - 6 (a) Probability 16 30
(b) Correlation }
Total 100 200
Unitwise Distribution of Course contents :

GROUP-A : BUSINESS MATHEMATICS (60 Marks)
Unit-1 : Simple and Compound Interest : Simple and Compound Interest, Annuity
Unit-2 : Linear inequalities : Linear inequalities and their graphical representation, Permutation & Com-
bination (Elementary ideas and simple problems), Mathematical Induction (Simple problems),
Binomial Theorem for positive Integral Index (Omit Binomial Co-efficient)
Unit-3 : (a) Set Theory : (Elementary Ideas), Elements, Types of Sets, Subsets (Proper and improper),
Union, Intersection and Difference of Set, Complement of Set, Venn Diagram, Application of
Sets (Simple Problems)
(b) Determinants : (Up to 3rd order), Meaning, Properties and Simple problems, Solution of
equation by Cramer’s Rule
(c) Matrices : Definition and type of Matrices, Equality of Matrices, Addition, Subtraction,
Scalar Multiplication and Matrix Multiplication, (Adjoint and Inverse matrices should be ex-
cluded)

2 Syllabi for H.S. Final Year
Unit-4 : Statistical Average :
Meaning, Purpose, Measures, Mean (A.M. G.M. H.M.), Median, Mode (For all series), their
uses, merits and demerits, essential qualities of a good average.
Positional measures :
Quartiles, Deciles, Percentiles, Graphic method olocation of median, of quartiles and mode
Unit-5 : Measures of Dispersion (Variation) :
Meaning, objects and function – Measures : Range, Quartile deviation, Mean deviation, Standard
deviation (all series), Lorenz curve, Their uses, merits and demerits, Essential qualities of a good
measure of dispersion, Co-efficient of variation.
Unit-6 : (a) Probability : Meaning, Definition (Mathematical or Classical approach), Event, Trial, Ran-
dom experiment, Equally likely events, Mutually exclusive events, Favourable cases to an
event.
[Numerical problems on definition of probability only. Addition and multiplication theorem on
probability should be excluded]
(b) Correlation : Meaning, types, Karl Pearson’s Correlation Co-efficient and its significance.

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Study Materials
Notes

Model Papers Class 6 Notes

Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes

Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats

Maps of India / World Class 12 Notes

Books and Solutions

NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions