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Aga Khan University Examination Board Mathematics (SSC IX-X) Syllabus
Every chapter and topic of Mathematics (SSC IX-X) examined in Aga Khan University Examination Board — 12 chapters, 47 topics, plus 50 flashcards written against it.
Mathematics (SSC IX-X) syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics (SSC IX-X) in Aga Khan University Examination Board, not a summary of it.
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Matrices and Determinants
4 topics- Types and Order of Matrices
- Addition and Multiplication of Matrices
- Determinant and Inverse of a Matrix
- Solution of Linear Equations using Matrices
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Real and Complex Numbers
4 topics- Real Numbers and their Properties
- Radicals and Radicands
- Laws of Exponents
- Complex Numbers and Operations
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Logarithms
4 topics- Scientific Notation
- Common and Natural Logarithms
- Laws of Logarithms
- Application of Logarithms
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Algebraic Expressions and Formulas
4 topics- Rational Expressions
- Algebraic Identities
- Surds and their Operations
- Rationalization
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Factorization
3 topics- Factorization of Algebraic Expressions
- Remainder and Factor Theorems
- Factorization of Cubic Polynomials
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Algebraic Manipulation and Equations
4 topics- HCF and LCM
- Simplification of Fractions
- Quadratic Equations
- Nature of Roots
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Sets and Functions
4 topics- Sets and Operations on Sets
- Venn Diagrams
- Ordered Pairs and Cartesian Product
- Relations and Functions
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Linear Equations and Inequalities
3 topics- Linear Equations in One Variable
- Equations Involving Absolute Value
- Linear Inequalities and their Solutions
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Coordinate Geometry
4 topics- Distance Formula
- Collinear and Non-collinear Points
- Equation of a Straight Line
- Slope and Intercepts
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Geometry and Theorems
5 topics- Congruent Triangles
- Parallelograms and Triangles
- Line Bisectors and Angle Bisectors
- Pythagoras Theorem
- Theorems Related to Circles
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Trigonometry
4 topics- Measurement of Angles (Degrees and Radians)
- Trigonometric Ratios
- Trigonometric Identities
- Angles of Elevation and Depression
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Mensuration and Statistics
4 topics- Practical Geometry of Triangles and Circles
- Frequency Distribution
- Measures of Central Tendency
- Measures of Dispersion
Mathematics (SSC IX-X) flashcards for Aga Khan University Examination Board
20 of 50 cards from the Mathematics (SSC IX-X) deck — real questions with worked answers.
What is a matrix?
A matrix is a rectangular array of numbers (elements) arranged in rows and columns, enclosed in brackets.
What is meant by the order (dimension) of a matrix?
The order of a matrix is written as m x n, where m is the number of rows and n is the number of columns.
What is a row matrix?
A row matrix is a matrix that has exactly one row, i.e. order 1 x n.
What is a column matrix?
A column matrix is a matrix that has exactly one column, i.e. order m x 1.
What is a square matrix?
A square matrix is a matrix in which the number of rows equals the number of columns (order n x n).
What is a rectangular matrix?
A rectangular matrix is one in which the number of rows is not equal to the number of columns (m ≠ n).
What is a null (zero) matrix?
A null or zero matrix is a matrix in which every element is 0, denoted by O.
What is a diagonal matrix?
A diagonal matrix is a square matrix in which all non-diagonal (off-diagonal) elements are zero, and at least one diagonal element is non-zero.
What is a scalar matrix?
A scalar matrix is a diagonal matrix in which all the diagonal elements are equal (and the off-diagonal elements are zero).
What is an identity (unit) matrix?
An identity matrix is a diagonal matrix whose diagonal elements are all 1, denoted by I; for any matrix A, AI = IA = A.
What is the transpose of a matrix?
The transpose of a matrix A, written A^t, is obtained by interchanging its rows and columns; an m x n matrix becomes n x m.
When are two matrices equal?
Two matrices are equal if they have the same order and their corresponding elements are equal.
Under what condition can two matrices be added or subtracted?
Two matrices can be added or subtracted only if they have the same order; addition/subtraction is done element by element.
Is matrix addition commutative and associative?
Yes. Matrix addition is commutative (A + B = B + A) and associative ((A + B) + C = A + (B + C)).
How do you multiply a matrix by a scalar k?
Multiply every element of the matrix by k; e.g. k[a b; c d] = [ka kb; kc kd].
What is the condition for the product of two matrices AB to be defined?
The product AB is defined only when the number of columns of A equals the number of rows of B.
If A is m x n and B is n x p, what is the order of AB?
The product AB has order m x p.
How is each element of a matrix product AB computed?
The element in row i, column j of AB is the sum of products of corresponding entries of row i of A and column j of B (row-by-column multiplication).
Is matrix multiplication commutative?
No. In general AB ≠ BA; matrix multiplication is not commutative.
How is the determinant of a 2x2 matrix [a b; c d] calculated?
The determinant is ad − bc.
Planning Mathematics (SSC IX-X) for Aga Khan University Examination Board
Mathematics (SSC IX-X) is about 22% of the Aga Khan University Examination Board syllabus by topic count — 47 of 214 topics, spread over 12 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 35 hours.
The heaviest chapters are Geometry and Theorems (5 topics), Matrices and Determinants (4 topics), Real and Complex Numbers (4 topics) . Front-load those while your energy is high; the short chapters are better revision filler later.
Work top-down: read the chapter, then tick topics off individually rather than marking the whole chapter done. Sub-topics are where silent gaps hide.
Mathematics (SSC IX-X) (Aga Khan University Examination Board) FAQ
What is in the Aga Khan University Examination Board Mathematics (SSC IX-X) syllabus?
Mathematics (SSC IX-X) is split into 12 chapters — Matrices and Determinants, Real and Complex Numbers, Logarithms, Algebraic Expressions and Formulas, Factorization and Algebraic Manipulation and Equations, and 6 more, containing 47 topics and 0 sub-topics in total.
How is Mathematics (SSC IX-X) structured in the Aga Khan University Examination Board syllabus?
12 chapters. Mathematics (SSC IX-X) accounts for about 22% of the topics in the whole Aga Khan University Examination Board syllabus (47 of 214).
How long should I spend on Mathematics (SSC IX-X) for Aga Khan University Examination Board?
Budget around 35 hours for a first pass through Mathematics (SSC IX-X) — about 45 minutes per topic plus 12 minutes per sub-topic across its 47 topics. Add revision cycles on top.
Are there flashcards for Aga Khan University Examination Board Mathematics (SSC IX-X)?
Yes — a 50-card Mathematics (SSC IX-X) deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.