Hello dear students,
ClassWork.LK is now ready to give you the clearest and most accurate short notes in Sinhala medium for the O/L Mathematics subject. Short notes of this subject have been prepared to cover the following topics. They are,
- Real Numbers
- Indices and Logarithms -I
- Indices and Logarithms -II
- Surface Area of Solids
- Volume of Solids
- Binomial Expressions
- Algebraic Fractions
- Areas of Plane Figures between Parallel Lines
- Percentages
- Share Market
- The Midpoint Theorem
- Graphs
- Equations
- Equiangular Triangles
- Data representation and Interpretation
- Geometric Progressions
- Pythagoras’ Theorem
- Trigonometry
- Matrices
- Inequalities
- Cyclic Quadrilaterals
- Tangents
- Constructions
- Sets
- Probability
Contents
Real Numbers
The short notes presented under this lesson are prepared to cover the following topics. Those topics are The Set of Integers, The Set of Natural Numbers, The set of Rational Numbers, The Set of Irrational Numbers, The Set of Real Numbers, The Decimal Representation of a Number, Surds.
Mathematics/ Grade-11/ Lesson-01/ Real Numbers/ Part-01
Indices and Logarithms-I
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Indices, Fractional Indices of a Power, Solving Equations with Indices, Laws of logarithms.
Mathematics/ Grade-11/ Lesson-02/ Indices and Logarithms-I/ Part-01
Indices and Logarithms-II
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Logarithms, Logarithms of decimal numbers less than one, Number corresponding to a logarithm (antilog), Addition and subtraction of logarithms with negative characteristics, Simplification of numerical expressions using the table of logarithms, Multiplication, and division of a logarithm of a number by a whole number, Division of a logarithm by a whole number, Finding powers and roots of numbers using the table of logarithms, Simplification of expressions involving powers and roots using the table of logarithms, Applications of logarithms, Evaluating powers and roots using a calculator, Simplifying expressions involving powers and roots using a calculator.
Mathematics/ Grade-11/ Lesson-03/ Indices and Logarithms-II/ Part-01
Surface Area of Solids
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Pyramid, Right pyramid with a square base, Surface area of a square-based right pyramid, Cone, Surface area of a right circular cone, Sphere, Surface area of a sphere.
Mathematics/ Grade-11/ Lesson-04/ Surface Area of Solids/ Part-01
Volume of Solids
The short notes presented under this lesson are prepared to cover the following topics. Those topics are the Volume of a square-based right pyramid, Volume of a right circular cone, Volume of a sphere.
Mathematics/ Grade-11/ Lesson-05/ Volume of Solids/ Part-01
Binomial Expressions
The short notes presented under this lesson are prepared to cover the following topics. That topic is Cube of a binomial expression.
Mathematics/ Grade-11/ Lesson-06/ Binomial Expressions/ Part-01
Algebraic Fractions
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Multiplying algebraic fractions, Dividing an algebraic fraction by another algebraic fraction.
Mathematics/ Grade-11/ Lesson-07/ Algebraic Fractions/ Part-01
Areas of Plane Figures between Parallel Lines Numbers
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Parallelograms and triangles on the same base and between the same pair of parallel lines, The areas of parallelograms on the same base and between the same pair of parallel lines, The areas of parallelograms and triangles on the same base and between the same pair of parallel lines, Triangles on the same base and between the same pair of parallel lines.
Mathematics/ Grade-11/ Lesson-08/ Areas of Plane Figures between Parallel Lines/ Part-01
Percentages
The short notes presented under this lesson are prepared to cover the following topics. Those topics are, Calculating interest on the reducing balance, Compound Interest.
Mathematics/ Grade-11/ Lesson-09/ Percentages/ Part-01
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Stock Market, Shares, Dividends, Trading in the stock market, Capital Gain.
Mathematics/ Grade-11/ Lesson-10/ Share Market/ Part-01
The Midpoint Theorem
The short notes presented under this lesson are prepared to cover the following topics. Those topics are The Midpoint Theorem, Proof of the midpoint theorem, Converse of the Midpoint Theorem.
Mathematics/ Grade-11/ Lesson-11/ The Midpoint Theorem/ Part-01
Graphs
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Finding the solution to a pair of simultaneous equations graphically, The graphs of quadratic functions, The graph of a function of the form y = ax2 + bx + c , The graph of a function of the form y = + (x + b)2 + c , Graphs of functions of the form y = + (x + a)(x + b).
Mathematics/ Grade-11/ Lesson-12/ Graphs/ Part-01
Equations
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Solving Simultaneous Equations, Simultaneous equations with fractional coefficients, Solving quadratic equations by factoring, Solving a quadratic equation by completing the square, Solving quadratic equations by using the quadratic formula.
Mathematics/ Grade-11/ Lesson-13/ Equations/ Part-01
Equiangular Triangles
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Ratios of lengths, Dividing two sides of a triangle by a line drawn parallel to the other side, More on dividing two sides of a triangle proportionally, The converse of the theorem “a line drawn parallel to a side of a triangle divides the other two sides proportionally”, Similar figures and equiangular figures, Proving riders using the theorem of equiangular triangles.
Mathematics/ Grade-11/ Lesson-14/ Equiangular Triangles/ Part-01
Data representation and Interpretation
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Limits and boundaries of class intervals, a Histogram of a grouped frequency distribution, a Frequency polygon, a Cumulative frequency curve of a grouped frequency distribution, Quartiles and interquartile range of a frequency distribution, More on Interquartile Range.
Mathematics/ Grade-11/ Lesson-15/ Data representation and Interpretation/ Part-01
Geometric Progressions
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Geometric Progressions, nth term of a Geometric Progression, Using the formula Tn = ar n – 1, The sum of the first n terms of a geometric progression, Problem-solving related to geometric progressions.
Mathematics/ Grade-11/ Lesson-16/ Geometric Progressions/ Part-01
Pythagoras’ Theorem
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Pythagoras’ Theorem, Further applications of Pythagoras’ Theorem, Pythagorean triples.
Mathematics/ Grade-11/ Lesson-17/ Pythagoras’ Theorem/ Part-01
Trigonometry
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Right Angled Triangles, Trigonometric Ratios, The trigonometric ratios of the angles of magnitude 30 degrees, 45 degrees and 60 degrees, The Trigonometric Tables, Solving problems using the trigonometric tables, Angles in a vertical plane, Angles in a horizontal plane, Using the calculator to find trigonometric ratios.
Mathematics/ Grade-11/ Lesson-18/ Trigonometry/ Part-01
Matrices
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Introducing Matrices, Order of a Matrix, Row Matrices, Column Matrices, and Square Matrices, Identity Matrices and Symmetric Matrices, Addition and Subtraction of Matrices, Equality of two matrices, Multiplication of a matrix by a number, Multiplication of Matrices.
Mathematics/ Grade-11/ Lesson-19/ Matrices/ Part-01
Inequalities
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Solving inequalities of the form ax + b cx + d, Solving problems using inequalities.
Mathematics/ Grade-11/ Lesson-20/ Inequalities/ Part-01
Cyclic Quadrilaterals
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Cyclic quadrilaterals, The relationship between the exterior angle and the interior opposite angle,
Mathematics/ Grade-11/ Lesson-21/ Cyclic Quadrilaterals/ Part-01
Tangents
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Theorems relevant to tangents, Tangents drawn to a circle from an external point, Angles in the alternate segment.
Mathematics/ Grade-11/ Lesson-22/ Tangents/ Part-01
Constructions
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Constructions related to straight lines and angles, Construction of circles related to triangles, Construction of the incircle (inscribed circle) of a triangle, Construction of the excircle (escribed circle) of a triangle, Construction of a tangent to a circle, Construction of a tangent to a circle through a point on the circle, Construction of a tangent to a circle from an external point.
Mathematics/ Grade-11/ Lesson-23/ Constructions/ Part-01
Mathematics/ Grade-11/ Lesson-23/ Constructions/ Part-02
Sets
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Venn diagrams, Expressing a subset denoted by a shaded region in a Venn diagram using set notation, More on problems related to sets.
Mathematics/ Grade-11/ Lesson-24/ Sets/ Part-01
Probability
The short notes presented under this lesson are prepared to cover the following topics. Those topics are Independent and Dependent Events, Solving problems using a grid, Solving problems using tree diagrams.
Mathematics/ Grade-11/ Lesson-25/ Probability/ Part-01
So, we, the team of ClassWork, sincerely wish you the strength, courage, and luck to study all these lessons very well and achieve a very great result for both term tests and the final Ordinary Level examination.