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