1st PUC Basic Maths Question Bank with Answers Karnataka

Chapterwise 1st PUC Basic Maths textbook solutions karnataka Board are given here in PDF format for understanding the concepts involved in the syllabus. If you are looking for Chapter-wise KSEEB Solutions for 1st PUC Basic Maths Question Bank with Answers Solutions, Notes, Guide Pdf are given in Chapter wise format then this is the right page for you. Students are advised to download chapter wise 1st PUC Question Bank with Answers Karnataka solutions pdf to take their preparation to the next level. Go through this page and get all chapters pdf links of KSEEB solutions for 1st PUC Basic Maths textbook solutions pdf & learn efficiently to score high marks.

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Karnataka 1st PUC Basic Maths Question Bank with Answers

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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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