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🇵🇰 Matric (SSC) · subject
Matric (SSC) Mathematics Syllabus
Every chapter and topic of Mathematics examined in Matric (SSC) — 15 chapters, 52 topics, plus 50 flashcards written against it.
Mathematics syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics in Matric (SSC), not a summary of it.
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Matrices and Determinants
5 topics- Types of Matrices
- Addition and Subtraction of Matrices
- Multiplication of Matrices
- Determinant and Inverse of a Matrix
- Solution of Simultaneous Linear Equations
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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
3 topics- Algebraic Expressions and Rational Expressions
- Algebraic Formulas
- Surds and Their Rationalization
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Factorization
3 topics- Methods of Factorization
- Factor Theorem and Remainder Theorem
- HCF and LCM of Polynomials
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Algebraic Manipulation
3 topics- Highest Common Factor and Least Common Multiple
- Simplification of Algebraic Fractions
- Square Root of Algebraic Expressions
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Linear Equations and Inequalities
3 topics- Linear Equations
- Equations Involving Absolute Value
- Linear Inequalities and Their Solution
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Linear Graphs and Their Application
3 topics- Cartesian Plane and Coordinate Geometry
- Graphs of Linear Equations
- Graphical Solution of Equations in Two Variables
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Quadratic Equations
4 topics- Solution by Factorization and Completing the Square
- Quadratic Formula
- Nature of Roots and Discriminant
- Equations Reducible to Quadratic Form
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Introduction to Coordinate Geometry
3 topics- Distance Formula
- Collinear Points
- Midpoint Formula and Its Applications
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Algebraic Sentences and Variations
3 topics- Ratio and Proportion
- Direct and Inverse Variation
- Theorems on Proportion
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Sets and Functions
4 topics- Operations on Sets
- Venn Diagrams
- Ordered Pairs and Cartesian Product
- Binary Relations and Functions
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Basic Statistics
3 topics- Frequency Distribution
- Measures of Central Tendency
- Measures of Dispersion
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Introduction to Trigonometry
4 topics- Measurement of Angles (Degrees and Radians)
- Trigonometric Ratios
- Trigonometric Identities
- Angles of Elevation and Depression
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Theorems Related to Circles
3 topics- Chords of a Circle
- Tangents to a Circle
- Angle in a Segment
Mathematics flashcards for Matric (SSC)
21 of 50 cards from the Mathematics deck — real questions with worked answers.
What is a matrix?
A rectangular array of numbers (elements) arranged in rows and columns, enclosed in brackets.
What is the order (dimension) of a matrix?
It 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 matrix that has only one row, i.e. of order 1 x n.
What is a column matrix?
A matrix that has only one column, i.e. of order m x 1.
What is a square matrix?
A matrix in which the number of rows equals the number of columns (order n x n).
What is a rectangular matrix?
A matrix in which the number of rows is not equal to the number of columns (m not equal to n).
What is a null (zero) matrix?
A matrix in which every element is zero, denoted by O.
What is a diagonal matrix?
A square matrix in which all elements except those on the main diagonal are zero (and at least one diagonal element is non-zero).
What is a scalar matrix?
A diagonal matrix in which all the main-diagonal elements are equal.
What is an identity (unit) matrix?
A scalar matrix in which every main-diagonal element is 1; denoted by I. It acts as the multiplicative identity.
When are two matrices said to be equal?
When they have the same order and their corresponding elements are equal.
What is the transpose of a matrix A?
The matrix A^t obtained by interchanging the rows and columns of A; a matrix of order m x n becomes n x m.
What is a symmetric matrix?
A square matrix that equals its transpose, i.e. A = A^t.
What is a skew-symmetric matrix?
A square matrix for which A^t = -A; all its main-diagonal elements are zero.
What is the condition for adding or subtracting two matrices?
They must have the same order (same number of rows and columns).
How are two matrices added?
By adding their corresponding (same-position) elements.
State the commutative law for matrix addition.
A + B = B + A, i.e. matrix addition is commutative.
State the associative law for matrix addition.
(A + B) + C = A + (B + C).
What is the additive identity for matrices?
The null matrix O of the same order, since A + O = A.
What is the additive inverse of a matrix A?
The matrix -A (each element negated), since A + (-A) = O.
How do you multiply a matrix by a scalar k?
Multiply every element of the matrix by k.
Planning Mathematics for Matric (SSC)
Mathematics is about 17% of the Matric (SSC) syllabus by topic count — 52 of 314 topics, spread over 15 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 40 hours.
The heaviest chapters are Matrices and Determinants (5 topics), Real and Complex Numbers (4 topics), Logarithms (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 (Matric (SSC)) FAQ
What is in the Matric (SSC) Mathematics syllabus?
Mathematics is split into 15 chapters — Matrices and Determinants, Real and Complex Numbers, Logarithms, Algebraic Expressions and Formulas, Factorization and Algebraic Manipulation, and 9 more, containing 52 topics and 0 sub-topics in total.
How many chapters are there in Mathematics for Matric (SSC)?
15 chapters. Mathematics accounts for about 17% of the topics in the whole Matric (SSC) syllabus (52 of 314).
How long should I spend on Mathematics for Matric (SSC)?
Budget around 40 hours for a first pass through Mathematics — about 45 minutes per topic plus 12 minutes per sub-topic across its 52 topics. Add revision cycles on top.
Are there flashcards for Matric (SSC) Mathematics?
Yes — a 50-card Mathematics deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.