Expert Teachers at KSEEBSolutions.com has created Karnataka 1st PUC Basic Maths Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 1st PUC Basic Maths Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2019-20 in English Medium and Kannada Medium are part of 1st PUC Question Bank with Answers. Here KSEEBSolutions.com has given the Department of Pre University Education (PUE) Karnataka State Board NCERT Syllabus 1st Year PUC Basic Maths Question Bank with Answers Pdf. Students can also read 1st PUC Basic Maths Model Question Papers with Answers hope will definitely help for your board exams.

## Karnataka 1st PUC Basic Maths Question Bank with Answers

- Chapter 1 Number Theory
- Chapter 2 Sets, Relations and Functions
- Chapter 3 Theory of Indices
- Chapter 4 Logarithms
- Chapter 5 Progressions
- Chapter 6 Theory of Equations
- Chapter 7 Linear Inequalities
- Chapter 8 Simple Interest and Compound Interest
- Chapter 9 Annuities
- Chapter 10 Averages
- Chapter 11 Percentage, Profit and Loss
- Chapter 12 Linear Functions
- Chapter 13 Angles and Trigonometric Ratios
- Chapter 14 Standard Angles and Allied Angles
- Chapter 15 Co-Ordinate System in a Plane
- Chapter 16 Locus and its Equations
- Chapter 17 Straight Line

### Karnataka 1st PUC Basic Maths Syllabus and Marking Scheme

**Karnataka 1st PUC Basic Maths Blue Print of Model Question Paper**

**I PUC Basic Mathematics Weightage Given to the Curriculum**

**I PUC Basic Mathematics Unit Wise Weightage**

**I PUC Basic Mathematics Instructions to Question Paper Setters**

1. Part E : 2 marks Question must be from chapters

(i) Number theory (ii) Averages.

2. Part E : 4 marks from chapters

(i) Sets, Relation and Functions

(ii) Progressions

(iii) Linear Functions

(iv) Straight Lines.

3. The question paper consists of five parts A, B, C, D & E.

4. Part A carries 10 marks, Part B carries 20 marks, Part C carries 30 marks, Part D carries 30 marks and Part E carries 10 marks.

5. Write the question numbers properly as indicated in the question paper.

Unit I: Algebra

Chapter 1 Number Theory (Total – 8 hrs)

- 1.0 Introduction
- 1.1 Natural Numbers
- 1.2 Whole numbers
- 1.3 Integers
- 1.4 Odd and Even Numbers
- 1.5 Prime Numbers
- 1.6 Composite Numbers
- 1.7 Fundamental theorem of arithmetic
- 1.8 Least Common Multiple
- 1.9 Highest common factor
- 1.10 Finding H.C.F using the product of numbers given
- 1.11 Finding H.C.F of fractions
- 1.12 Rational Numbers
- 1.13 Irrational Numbers
- 1.14 Real Numbers
- 1.15 Complex numbers

Chapter 2 Sets, Relations and Functions (Total – 16 hrs)

- 2.0 Introduction
- 2.1 Sets
- 2.2 Methods of describing a set
- 2.3 Null set
- 2.4 Singleton set
- 2.5 Finite set and Infinite sets
- 2.6 Equal and equivalent sets
- 2.7 Subset
- 2.8 Universal Set
- 2.9 Operation on Sets
- 2.10 Complement set
- 2.11 Algebra of sets
- 2.12 Venn diagrams
- 2.13 Ordered pairs
- 2.14 Equality of ordered pairs
- 2.15 Cartesian product pairs
- 2.16 Worked examples
- 2.17 Relation
- 2.18 Domain and range of a relation
- 2.19 Inverse relation
- 2.20 Types of relation
- 2.21 Worked Examples
- 2.22 Functions
- 2.23 Domain, co-domain and range
- 2.24 Different types of functions
- 2.25 Worked Examples

Chapter 3 Theory of Indices (Total – 4 hrs)

- 3.1 Introduction
- 3.2 Meaning of a
^{n} - 3.3 Laws of Indices

Chapter 4 Logarithms (Total – 6 hrs)

- 4.1 Introduction
- 4.2 Definition of Logarithm
- 4.3 Laws of Logarithm
- 4.4 Common Logarithm

Chapter 5 Progressions (Total – 12 hrs)

- 5.1 Introduction
- 5.2 Sequences
- 5.3 Series
- 5.4 Arithmetic Progressions
- 5.5 nth term of an A.P
- 5.6 Sum to ‘n’ terms of an A.P
- 5.7 Geometric progression
- 5.8 nth term of GP
- 5.9 Sum to n terms of GP
- 5.10 Sum to infinite G.P
- 5.11 Harmonic progression
- 5.12 nth term of H.P

5.13 Arithmetic, Geometric and harmonic means

Chapter 6 Theory of Equations (Total – 12 hrs)

- 6.1 Introduction and definition of equation
- 6.2 Degrees of the equation and different types of equations
- 6.3 Linear equation in one variable
- 6.4 Simultaneous linear equation in two variables and different methods
- 6.5 Quadratic equation and its solution
- 6.6 Nature of the roots of the quadratic equation
- 6.7 Cubic equation, examples and solution
- 6.8 Synthetic division

Chapter 7 Linear Inequalities (Total – 6 hrs)

- 7.1 Introduction
- 7.2 Inequalities
- 7.3 Linear inequalities in one variable
- 7.4 System of linear inequations in one variable
- 7.5 Application of Linear inequalities
- 7.6 Linear inequalities in two variable
- 7.7 System of Linear Inequations in two variables and their graphical solution

Unit II: Commercial Arithmetic

Chapter 8 Simple Interest and Compound Interest (Total – 8 hrs)

- 8.1 Introduction
- 8.2 Simple interest
- 8.3 Compound Interest
- 8.4 Nominal and effective rate of interest
- 8.5 Varying rate of interest
- 8.6 Depreciation
- 8.7 Using compound interest formula for growth rate
- 8.8 Problems related to simple interest and compound interest

Chapter 9 Annuities (Total – 6 hrs)

- 9.1 Definition and types of annuity immediate
- 9.2 Future value of annuity immediate
- 9.3 Present value of annuity immediate
- 9.4 Future value of an annuity due
- 9.5 Present value of an annuity due
- 9.6 Perpetuity
- 9.7 Deferred annuity

Chapter 10 Averages (Total – 4 hrs)

- 10.1 Introduction
- 10.2 Types of Average
- 10.3 Simple Average
- 10.4 Weighted Average
- 10.5 Combined Average

Chapter 11 Percentage, Profit and Loss (Total – 6 hrs)

- 11.1 Conversion of the percentage to ratio fraction, decimal and vice versa
- 11.2 Percentage increase, the percentage decrease
- 11.3 Application problems involving percentages
- 11.4 Profit and Loss, Cost price, Selling price, Profit, Loss, Profit percentage, Loss percentage, definition and formula
- 11.5 Application problems

Chapter 12 Linear Functions (Total – 4 hrs)

- 12.1 Introduction
- 12.2 Definition
- 12.3 Linear Revenue, Cost and profit function
- 12.4 Break-Even Analysis

Unit III: Trigonometry

Chapter 13 Angles and Trigonometric Ratios (Total – 6 hrs)

- 13.1 Introduction
- 13.2 Measurement of angles
- 13.3 Trigonometric ratios of acute angle
- 13.4 Relation between the trigonometric ratios

Chapter 14 Standard Angles and Allied Angles (Total – 6 hrs)

- 14.1 Trigonometric Ratios of standard angles
- 14.2 Signs of Trigonometric ratios
- 14.3 Allied angles

Unit IV: Analytical Geometry

Chapter 15 Co-Ordinate System in a Plane (Total – 5 hrs)

- 15.1 Introduction
- 15.2 Rectangular Cartesian Co-ordinate system in a plane
- 15.3 Distance Formula
- 15.4 Section Formula
- 15.5 Centroid Formula, Midpoint formula
- 15.6 Area of the Triangle and quadrilateral

Chapter 16 Locus and its Equations (Total – 3 hrs)

- 16.1 Introduction
- 16.2 Equation of the locus of a point

Chapter 17 Straight Line (Total – 3 hrs)

- 17.1 Introduction
- 17.2 Slope or Gradient of a line
- 17.3 Slope of Parallel Lines and Perpendicular Lines
- 17.4 SJope of the line joining two points
- 17.5 Standard forms of Equation of straight lines
- 17.6 Equation of a line in general form
- 17.7 Intersection of two lines
- 17.8 Condition for concurrency of three lines
- 17.9 Length of the perpendicular from a point to a line
- 17.10 Distance between parallel lines

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