General Math | Class 9
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- Concept of Percentage
- Problem-Concept of Percentage
- Percentages, Fractions and Decimals
- Finding the Percentage of a Number
- Introducing Ratio
- Problem-Introducing Ratio
- Antecedent and Consequent
- Problem-Antecedent and Consequent
- Reduced Form of a Ratio
- Problem-Reduced Form of a Ratio
- Relation Between Ratio and Fraction
- Problem-Relation Between Ratio and Fraction
- Increase and Decrease in Ratio
- Introducing Proportion
- Problem-Introducing Proportion
- Problem-Concept of Proportion
- Types of Proportion
- Direct Proportion
- Problem-Direct Proportion
- Inverse Proportion
- Problem-Inverse Proportion
- Solving Problem Involving Inverse Proportion
- Solving Problem Involving Direct Proportion
- Introducing Compound Proportion
- Problem-Concept of Compound Proportion
Chapter 1 Percentage, Ratio and Proportion ( 31 videos) (Practice Test)
1.1: Percentage (Practice Test)
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1.2: Ratio (Practice Test)
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1.3: Proportion (Practice Test)
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1.4: Compound Proportion (Practice Test)
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- Introduction to Zakat
- Word Problem of Zakat
- More on Word Problem of Zakat
- Introducing Inheritance
- More on Introducing Inheritance
- Problem Related to Inheritance-p1
- Problem Related to Inheritance-p2
- Problem Related to Inheritance-p3
Chapter 2 Zakat, Ushr and Inheritance ( 12 videos) (Practice Test)
2.1: Zakat
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2.2: Ushr
2.3: Inheritance (Practice Test)
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- Problem-Concept of Profit and Loss
- Introduction to Profit
- Problem1-Introduction to Profit
- Problem2-Introduction to Profit
- Concept of Percent Profit
- Problem- profit percentage
- Problem-Related to Profit or Loss Percent-p2
- Introduction to Loss
- Problem1-Introduction to Loss
- Further Examples on Percentage
- Discount
- Problem1-Discount
- Relations Regarding Discount
- Problem1-Relations Regarding Discount
- Problem2-Relations Regarding Discount
- Problem Related to Partnership-p1
- Problem Related to Partnership-p2
- Problem Related to Partnership-p3
- Introducing Business Partnership
- Calculating Profit Among the Partners
Chapter 3 Business Mathematics ( 29 videos) (Practice Test)
3.1: Profit and Loss (Practice Test)
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3.2: Discount (Practice Test)
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3.3: Business Partnership (Practice Test)
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- Concept of Banking
- Bank Deposits and Types of Accounts
- More on Bank Deposits and Types of Accounts
- Online Banking
- Conversion of Currencies
- Problem1-Money Exchange
- Problem2-Money Exchange
- Problem3-Money Exchange
- Problem4-Money Exchange
- Word Problem of Profit
- Problem-Word Problem of Profit
- Concept of Markup
- Problem-Concept of Markup
- Word Problem of Markup
- More on Word Problem of Markup
- Introducing Insurace and its Components
- Life Insurance
- More on Life Insurance
- Problem1-Life Insurance
- Problem2-Life Insurance
- Vehicle Insurance
- Problem1-Vehicle Insurance
- Problem2-Vehicle Insurance
- Introducing Leasing/Financing
- Types of Lease
- Leasing of Motor Vehicle
- Problem1-Leasing of Motor Vehicle
- Real LifeProblems Regarding Lease
Chapter 4 Financial Mathematics ( 36 videos) (Practice Test)
4.1: Commercial Banking (Practice Test)
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4.2: Exchange of Currencies
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4.3: Profit / Markup
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4.4: Insurance (Practice Test)
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4.5: Leasing / Financing (Practice Test)
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- Concept of Property Tax
- Problem-Concept of Property Tax
- Value-added Tax and GST
- Problem2-Taxation
- Problem Related to Tax-p1
- Problem Related to Tax-p2
- Problem Related to Tax-p3
- Concept of Taxable Area
- Problem-Concept of Taxable Area
- Concept of Income Tax
- Problem-Introduction to Income Tax
- Zakat and Tax
- Introducing Utility Bills
- Calculating Electricity Bill
- Gas Bill
- Telephone Bill
- Personal Income of Worker
- Problem-Personal Income of Worker
- Gross Income of Salaried Person
- Income After Deduction
- Problem-Income After Deduction
Chapter 5 Consumer Mathematics ( 25 videos) (Practice Test)
5.1: Taxes (Practice Test)
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5.2: Utility Bills (Practice Test)
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5.3: Personal Income (Practice Test)
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- Introduction to Radical
- qth Root of x
- Problem-qth Root of x
- Properties of qth Root of x
- Problem-Properties of qth Root of x
- Transformation of Radical & Exponential Form
- Exponent or Index Definition
- Problem-Exponent or Index Definition
- Law of Sum of Power of Exponents
- Problem-Law of Sum of Power of Exponents
- Law of Quotient of Power with Same Base
- Law of Power of Product of Exponent
- Problem-Law of Power of Product of Exponent
- Law of Power of Power of Exponent
- Problem-Law of Power of Power of Exponent
- Zero and negative indices
- Applications of Laws of Exponents
- Problem-Applications of Laws of Exponents
- Introduction to Scientific Notation
- Problem-Introduction to Scientific Notation
- Converting Scientific to Common form
- Problem-Converting Scientific to Common form
- Movement of Decimal in Scientific Notation
- Converting common to scientific form
- Division of Numbers in Scientific Notation
- Logarithm Definition
- Problem-Logarithm Definition
- Converting Exponential to Log Form
- Problem-Converting Exponential to Log Form
- Converting Log to Exponential Form
- Problem-Converting Log to Exponential Form
- How to Find Unknown Base in Log Form
- Problem-How to Find Unknown Base in Log Form
- How to Find Unknown Number in Log Form
- Problem-Finding Unknown Number in Log Form
- How to Find Unknown index in Log Form
- Problem-Finding Unknown index in Log Form
- Common Logarithm
- Problem-Common Logarithm
- Characteristic & Mantissa of Logarithm
- How to Find Characteristic of Given Number
- Finding Mantissa of Number by Log Table
- Introduction to Anti-Logarithms
- Problem-Introduction to Anti-Logarithms
- Product Law of Logarithm
- Problem-Product Law of Logarithm
- Quotient Law of Logarithm
- Problem-Quotient Law of Logarithm
- Power Law of Logarithm
- Problem-Power Law of Logarithm
- Law of Change of Base of Logarithm
- Problem-Law of Change of Base of Logarithm
- Problem1-Applications of Logarithm Laws
- Problem3-Applications of Logarithm Laws
- Problem4-Applications of Logarithm Laws
- Problem5-Applications of Logarithm Laws
Chapter 6 Exponents and Logarithms ( 68 videos) (Practice Test)
6.1: Radicals and Radicands (Practice Test)
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6.2: Laws of Exponents / Indices (Practice Test)
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6.3: Scientific Notation (Practice Test)
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6.4: Logarithm (Practice Test)
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6.5: Laws of Logarithm (Practice Test)
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6.6: Application of Logarithm
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- Introduction to Sequence and Series
- Problem-Introduction to Sequence and Series
- General Term in a Number Sequence
- Problem-General Term in a Number Sequence
- Concept of Arithmetic Progression
- Problem-Concept of Arithmetic Progression
- Word Problems on Arithmetic Progression
- Concept of Arithmetic Mean
- Problem-Concept of Arithmetic Mean
- n Arithmetic Means Between Two Given Numbers
- Concept of Geometric Progressions
- Problem1-Concept of Geometric Progressions
- Concept of Geometric Means
- Problem-Concept of Geometric Means
- n Geometric Means Between Two Given Numbers
Chapter 7 Arithmetic and Geometric Sequences ( 20 videos) (Practice Test)
7.1: Sequence ( Progression ) (Practice Test)
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7.2: Arithmetic Sequence ( Progression ) (Practice Test)
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7.3: Arithmetic Mean (Practice Test)
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7.4: Geometric Sequence ( Progression )
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7.5: Geometric Mean ( G.M ) (Practice Test)
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- Set Definition
- Problem-Introduction to Set
- Problem-Set Notations
- Set Notation and its Characteristics
- Some Important Sets of Numbers
- Problem-Some Important Sets
- Union of two sets
- Problem-Union of Two Sets
- Intersection of two sets
- Problem-Intersection of two sets
- Universal Set
- Complement of a Set
- Difference of two sets
- Problem-Difference of Two Sets
- Commutative Property of Union of Sets
- Associativity of Union of three sets
- Identity Property with Respect to Union
- Associativity of Intersection of three sets
- Introduction to Venn Diagram
- Problem-Introduction to Venn Diagram
- Commutative Law of Union of Sets
- Problem-Commutative Law of Union of Sets
- Commutative Law of Intersection of Sets
- Union Associativity for Disjoint Sets
- Union Associativity for Overlapping Sets
- De Morgans Law for Overlapping Sets
- De Morgans Law for Disjoint Sets
- Problem-De Morgans Law for Disjoint Sets
- De Morgans Law for Set & its Subset
- Introduction to Binary Relation
- Problem-Introduction to Binary Relation
- Problem2-Introduction to Binary Relation
- Domain & Range of Binary Relation
- Problem1-Domain & Range of Binary Relation
- Introduction to Function
- More on Introduction to Functions
- Problem1-Introduction to Function
- Problem2-Introduction to Function
- Problem3-Introduction to Function
- Problem4-Introduction to Function
- Finding Domain and Range of Functions
- Into Function
- Problem1-Into Function
- Problem2-Into Function
- One-One Function
- Problem-One-One Function
- Problem1-One to One Function
- Injective Function
- Problem1-Injective Function
- Problem2-Injective Function
- Onto Function
- Problem1-Onto Function
- Problem2-Onto Function
- Bijective Function
- Problem1-Bijective Function
- Problem2-Bijective Function
Chapter 8 Sets and Functions ( 77 videos) (Practice Test)
8.1: Set (Practice Test)
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8.2: Binary Relation (Practice Test)
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8.3: Function (Practice Test)
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- Introducing Cartesian Plane
- Problem-Introduction to Cartesian Plane
- Problem-Introducing Cartesian Plane
- Locating ordered pairs in Cartesian plane
- Scale of Graph
- Problem-Scale of Graph
- Drawing graph with given slopes & intercepts
- Reading conversion graph-Hectares & Acres
Chapter 9 Linear Graphs ( 22 videos) (Practice Test)
9.1: Cartesian Plane and Linear Graphs (Practice Test)
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9.2: Conversion Graphs (Practice Test)
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- Class Interval and Class Limits
- Problem-Class Interval and Class Limits
- Frequency Distribution
- Problem-Frequency Distribution
- Introducing and Constructing Histogram
- Measure of Location OR Central Tendency
- Types of Measures of Central Tendency
- Arithmetic Mean of Raw Data-Direct Method
- Arithmetic Mean for Raw Data-Short Formula
- Median for Ungrouped Data
- Problem-Median for Ungrouped Data
- Median for Grouped Data
- Problem-Median for Grouped Data
- Mode for Ungrouped Data
- Problem-Mode for Ungrouped Data
- Mode for Grouped Continuous Data
- Mode for Grouped Data
- Problem-Mode for Grouped Data
- Geometric Mean for ungrouped data
- Geometric Mean of grouped data by logarithm
- Harmonic Mean for Ungrouped Data
- Problem-Harmonic Mean for ungrouped data
- Harmonic Mean for Grouped Data
- Problem-Harmonic Mean for grouped data
- Properties of Arithmetic Mean
- More on Properties of Arithmetic Mean
- Calculating Weighted Mean
- Problem-Calculating Weighted Mean
- Calculating Moving Mean
- Problem-Calculating Moving Mean
- Using Calculator to find Mean
- Median, Quartiles and Percentiles
- Concept of Dispersion
- Problem-Concept of Dispersion
- Types of Measures of Dispersion
- Problem1-Types of Measures of Dispersion
- Problem2-Types of Measures of Dispersion
- Calculation of Range for Ungrouped Data
- Calculation of Range for Grouped Data
- Introduction to Variance and S.D
- Problem-Introduction to Variance and S.D
Chapter 10 Basic Statistics ( 70 videos) (Practice Test)
10.1: Frequency Distribution (Practice Test)
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10.2: Cumulative Frequency (Practice Test)
10.3: Measure of Central Tendency (Practice Test)
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10.4: Measure of Dispersion (Practice Test)
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