Business Mathematics / Business Math Notes for I.Com Part one / I.Com Part-I / 1st Year / 11th Class / XI / HSSC-I. Intermediate Level (HSSC-I) students of Federal Board of Intermediate & Secondary Education (FBISE) or any Board of Intermediate & Secondary Education of Punjab, Sindh, KPK, Balochistan and Azad Kashmir can get benefit from these notes. By studying our notes, we can guarantee you for getting maximum marks in your exams.

Table of Contents

## Business Math Notes 1st Year / 11th Class / XI / HSSC-I for Federal and Any Intermediate Board

**Please select a topic from below:**

**Solved Past / Old Papers of Business Mathematics I.Com Part One for Federal Board (FBISE)**

**Annual Papers**

**Supplementary Papers**

- 2016
- 2017
- 2018

**Past / Old Papers of Business Mathematics for I.Com Part One (FBISE)**

**Annual Papers**

**Supplementary Papers**

## Chapter Wise Important Questions for All Intermediate Board Exams

**Chapter Wise Most Important Questions for Annual and Supplementary Exam of Federal Board and Any Intermediate Board**

**Business Arithmetic**- Chapter # 03 – Simple and Compound Interest
- Chapter # 04 – Annuity
- Chapter # 06 – Linear Equations
- Chapter # 07 – Quadratic Equations
- Chapter # 08 – Simultaneous System of Equations
- Chapter # 09 – Binary Number System and Its Operation
- Chapter # 10 – Matrix

## Guess Paper for Annual and Supplementary Exams

**Federal Board of Intermediate Secondary Education (FBISE)**

- Guess Paper of Business Mathematics 2020
- Guess Paper of Business Mathematics 2021 (According to Reduce Syllabus)
- Guess paper of Business Mathematics for I.Com – I Annual exam 2022 for Federal Board (FBISE)
- Guess paper of Business Mathematics for I.Com – I Annual exam 2023 for Federal Board (FBISE)
- Guess paper of Business Mathematics for I.Com – I Annual exam 2024 for Federal Board (FBISE)

**Intermediate Boards like Punjab, Sind, KPK, Balochistan**

## Model Paper Business Mathematics For All BISE

- Business Mathematics Model Paper # 1

- Business Mathematics Model Paper # 2

- Business Mathematics Model Paper # 3

- Business Mathematics Model Paper # 4

## Chapter Wise Solved Multiple Choice Questions (Mcqs)

**Chapter # 01 – Ratio and Proportion**- Chapter # 03 -Simple and Compound Interest
- Chapter # 04 – Annuity
- Chapter # 05 – Linear Equations
- Chapter # 06 – Quadratic Equations

**Complete Book Important Solved Multiple Choice Questions (Mcqs)**

**Business Mathematics Books by Muhammad Abdullah For I.Com Part One (Part – I)**

- Chapter # 01 – Ratio and Proportion
- Chapter # 02 – Percentages
- Chapter # 03 – Simple and Compound Interest
- Chapter # 04 – Annuity
- Chapter # 05 – Functions and Graphs
- Chapter # 06 – Linear Equations
- Chapter # 07 – Quadratic Equations
- Chapter # 08 – Simultaneous Systems of Equations
- Chapter # 09 – Binary Number System
- Chapter # 10 – Matrix

**Business Mathematics Books by Prof. Nadeem Akhtar Siddiqui I.Com One (Part – I)**

**Chapter # 01 – Business Arithmetic****Chapter # 02 – Mathematics of Finance**

**Chapter # 03 – Linear, Quadratic and Simultaneous Equations**

**Solution / Key to Business Mathematics by Muhammad Abdullah For I.Com Part One (Part – I)**

**Chapter # 01 – Ratio and Proportion**

**Chapter # 02 – Percentage**

**Chapter # 03 – Simple and Compound Interest**

**Chapter # 04 – Annuity**

**Chapter # 05 – Functions and Graphs**

**Chapter # 06 – Linear Equation**

**Chapter # 07 – Quadratic Equation**

**Chapter # 08 – Simultaneous System of Equation**

**Chapter # 09 – Binary Number System**

**Chapter # 10 – Matrix**

**Solution / Key to Business Mathematics by Nadeem Akhtar Siddiqui and Tariq Ali Khan For I.com-I**

**Chapter # 01 – Basic Arithmetic**

- Chapter # 01 – Basic Arithmetic-Exercise # 1.1 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.1 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.1 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.2 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.2 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.2 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.3 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.3 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.3 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.4 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.4 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.4 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.5 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.5 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.5 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.6 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.6 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.6 – Question # 03
- Chapter # 01 – Basic Arithmetic-Exercise # 1.7 – Question # 01
- Chapter # 01 – Basic Arithmetic-Exercise # 1.7 – Question # 02
- Chapter # 01 – Basic Arithmetic-Exercise # 1.7 – Question # 03
- Chapter # 01 – Basic Arithmetic-Self Test Exercise – Question # 01
- Chapter # 01 – Basic Arithmetic-Self Test Exercise – Question # 02
- Chapter # 01 – Basic Arithmetic-Self Test Exercise – Question # 03

**Chapter # 02 – ****Mathematics of Finance **

- Chapter # 02 – Mathematics of Finance – Exercise # 2.1 – Question # 01
- Chapter # 02 – Mathematics of Finance – Exercise # 2.1 – Question # 02
- Chapter # 02 – Mathematics of Finance – Exercise # 2.1 – Question # 03
- Chapter # 02 – Mathematics of Finance-Exercise # 2.2 – Question # 01
- Chapter # 02 – Mathematics of Finance-Exercise # 2.2 – Question # 02
- Chapter # 02 – Mathematics of Finance-Exercise # 2.2 – Question # 03
- Chapter # 02 – Mathematics of Finance-Exercise # 2.3 – Question # 01
- Chapter # 02 – Mathematics of Finance-Exercise # 2.3 – Question # 02
- Chapter # 02 – Mathematics of Finance-Exercise # 2.3 – Question # 03
- Chapter # 02 – Mathematics of Finance- Self Test Exercise Question # 01
- Chapter # 02 – Mathematics of Finance-Self Test Exercise Question # 02
- Chapter # 02 – Mathematics of Finance-Self Test Exercise Question # 03

**Chapter # 03 – ****Linear , Quadratic and Simultaneous Equations**

- Chapter # 03 – Equations – Exercise # 3.1 – Questions # 01
- Chapter # 03 – Equations – Exercise # 3.1 – Questions # 02
- Chapter # 03 – Equations – Exercise # 3.1 – Questions # 03
- Chapter # 03 – Equations – Exercise # 3.2 – Questions # 01
- Chapter # 03 – Equations – Exercise # 3.2 – Questions # 02
- Chapter # 03 – Equations – Exercise # 3.2 – Questions # 03
- Chapter # 03 – Equations – Exercise # 3.3 – Questions # 01
- Chapter # 03 – Equations – Exercise # 3.3 – Questions # 02
- Chapter # 03 – Equations – Exercise # 3.3 – Questions # 03
- Chapter # 03 – Equations – Exercise # 3.4 – Questions # 01
- Chapter # 03 – Equations – Exercise # 3.4 – Questions # 02
- Chapter # 03 – Equations – Exercise # 3.4 – Questions # 03
- Chapter # 03 – Equations – Self Test Exercise – Questions # 01
- Chapter # 03 – Equations – Self Test Exercise – Questions # 02
- Chapter # 03 – Equations – Self Test Exercise – Questions # 03

**Chapter # 04 – ****Functions and Their Graphs**

- Chapter # 04 – Functions and Their Graphs – Exercise # 4.1 – Question # 01
- Chapter # 04 – Functions and Their Graphs – Exercise # 4.1 – Question # 02
- Chapter # 04 – Functions and Their Graphs – Exercise # 4.1 – Question # 03
- Chapter # 04 – Functions and Their Graphs – Exercise # 4.2 – Question # 01
- Chapter # 04 – Functions and Their Graphs – Exercise # 4.2 – Question # 02
- Chapter # 04 – Functions and Their Graphs – Exercise # 4.2 – Question # 03
- Chapter # 04 – Functions and Their Graphs – Self Test Exercise – Question # 01
- Chapter # 04 – Functions and Their Graphs – Self Test Exercise – Question # 02
- Chapter # 04 – Functions and Their Graphs – Self Test Exercise – Question # 03

**Chapter # 05 – ****Elements of Matrix Algebra**

- Chapter # 05 -Matrix – Exercise # 5.1-Question # 01
- Chapter # 05 -Matrix – Exercise # 5.1-Question # 02
- Chapter # 05 -Matrix – Exercise # 5.1-Question # 03
- Chapter # 05 – Equations – Self Test Exercise – Questions # 01
- Chapter # 05 – Equations – Self Test Exercise – Questions # 02
- Chapter # 05 – Equations – Self Test Exercise – Questions # 03

**Chapter # 06 – ****Binary Number**

- Chapter # 06 – Binary Number-Exercise # 6.1-Question # 01
- Chapter # 06 – Binary Number-Exercise # 6.1-Question # 02
- Chapter # 06 – Binary Number-Exercise # 6.1-Question # 03
- Chapter # 06 – Binary Number-Self Test Exercise-Question # 01
- Chapter # 06 – Binary Number-Self Test Exercise-Question # 02
- Chapter # 06 – Binary Number-Self Test Exercise-Question # 03

**Solution / Key Business Mathematics Nadeem Akhtar Siddiqui Latest Edition I.com-I**

**Chapter # 01 – Basic Arithmetic**

**Exercise no 1.1 – Ratio****Exercise no. 1.2 – Proportion****Exercise no. 1.3 – Percentage****Exercise no. 1.4 – Discount****Exercise no. 1.5 – Commission****Exercise no. 1.6 – Profit and Loss**

**Chapter # 02 – Mathematics of Finance**

**Exercise no 2.1 – Simple Interest****Exercise no. 2.2 – Compound Interest****Exercise no. 2.2 – Compound Interest**

**Chapter # 03 – Linear, Quadratic and Simultaneous Equations**

**Exercise no 3.1 – Linear Equation****Exercise no 3.2 – Quadratic Equation****Exercise no 3.3 – Quadratic Equation (Equations Convertible to Reduce Form)****Exercise no 3.4 – Simultaneous****Equation**

**Chapter # 04 – Functions and Their Graphs**

**Exercise no 4.1 – Function and Their Major Types****Exercise no. 4.2 – Rectangular Coordinate System**

**Chapter # 05 – Elements of Matrix Algebra**

**Exercise no 5.1 – Algebra of Matrices****Exercise no. 5.2 – Determinant, Inverse of Matrix**

**Chapter # 06 – Binary Number System and Its Operation**

**Exercise no 6.1 – Conversions of Number Systems****Exercise no. 6.2 – Arithmetic Operations In Binary Number System**

## Chapter Wise Notes

**Chapter # 03 – Simple and Compound Interest**

- Introduction of Simple Interest
- Formula of Principal in Simple Interest with Example
- Formula of Rate in Simple Interest with Example
- Formula of Time in Simple Interest with Example
- Simple Interest Practice Question with Answers
- Introduction of Compound Interest
- Compound Interest for Semi-Annually Period
- Compound Interest for Quarterly Period
- Compound Interest for Daily Period
- Compound Interest for Monthly Period
- Compound Interest for Continuous Period
- Different Compound Interest for Different Period
- Compound Interest for Fraction Period
- Formula of Principle (P) in Compound Interest “ if compound interest, time and rate is given”
- Formula of Principle (P) in Compound Interest “if compound amount, time and rate is given”
- Formula of Principle (P) in Compound Interest (If difference between simple and compound interest is given)
- Formula of Rate (R) in Compound Interest “if compound interest, time and Principle is given”
- Formula of Rate (R) in Compound Interest “If compound amount, time and Principle is given”
- Formula of Time (T) in Compound Interest “If compound interest, rate and Principle is given”
- Formula of Time (T) in Compound Interest “If compound amount, rate and Principle is given”
- Compound Interest for Weekly Period
- Compound Interest for Hourly Period
- Simple and Compound Interest Questions with Answers

**Chapter # 04 – Annuity **

- Introduction of Annuity
- Future Value of Ordinary Annuity Compounded Annually
- Future Value of Ordinary Annuity Compounded Semi-Annually
- Future Value of Ordinary Annuity Compounded Monthly
- Future Value of Ordinary Annuity Compounded Quarterly
- Present Value of Ordinary Annuity Compounded Annually
- Present Value of Ordinary Annuity Compounded Semi-Annually
- Present Value of Ordinary Annuity Compounded Quarterly
- Present Value of Ordinary Annuity Compounded Monthly
- Future Value of Annuity Due Compounded Annually
- Future Value of Annuity Due Compounded Quarterly
- Future Value of Annuity Due Compounded Semi-Annually
- Future Value of Annuity Due Compounded Monthly
- Present Value of Annuity Due Compounded Annually
- Present Value of Annuity Due Compounded Quarterly
- Present Value of Annuity Due Compounded Semi-Annually
- Present Value of Annuity Due Compounded Monthly

**Chapter # 06 – Linear Equations **

**Chapter # 07 – Quadratic Equation**

**Chapter # 08 – Simultaneous System of Equations**

**Method of Solving Independent Linear Equations Simultaneously**- Elimination by Addition or Subtraction
- Elimination by Substitution
- Elimination by Comparison
- Use of graphs
- Use of Matrix Algebra

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