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What you will learn

☑ IGCSE/GCSE Maths

Description

Though this course is designed for *GCSE & IGCSE* Math (0580 & O level) students, other board students can also be benefited by this course. Style adopted is informal way of teaching. Every effort is made to make calculation understandable at every step. Hope learners will enjoy. **Many methods** to solving questions are explained for convenience of understanding. Learners will get grip on the subject.

*This course Up-to now includes **Numbers & Algebra**. Other topics like Graphs, Geometry will be included later at sometime.*

Contents are as follows:

**Numbers 1: Basics **

Integer

Integer Questions

Multiple Factors, HCF & LCM

-Fraction I *

Decimal

Fraction II

Fraction & Decimal

Order of Operation (BIDMAS)

Brackets in Integers

Percentage Basics

-Basic Algebra *

Recurring Decimal

'*' marked are important topics for word problems. Understanding fraction & basic algebra will help to get better grip on subject topics included in Number-3 section.

**Numbers 2: Comparing, Indices, Surds, Rationalising Surds, Rounding, Standard form, Upper & Lower Bounds**

*Comparing symbols & line representation**Comparing decimal, fraction & percentage**Square and square root, Cube and cube root**Indices/Exponents - I**(with full Explanation which will help later on in algebra)**Indices/Exponents/Surds - II*Brackets in Surds

*-Problems:**Surds & Rationalizing surds**(2 methds: fast way explained)**Standard form representation**Rounding**Upper bound and lower bound**-Problems:**Bound, rounding to nearest decimal place/significant place*Accuracy and Bounds

**- with Problems**

**Numbers 3: Ratio, Proportion, Percentage & Reverse, Direct Indirect Proportion, Distance Speed & Time, Comparing word problems **

*Ratio Introduction and brief idea**Ratio :**easy way**-Problems:**Ratio**-Problems**& Proportion explanation**Profit & reverse percentage :**with or**without learning formula ( Percentage series: total 2-3 methods explained)**Rate of increase percentage***-Problems***:**Loss, decrease & increase percentage**(just use multiplying factor for series increase & decrease)**Compound interest**(with or without using formula & full explanation how formula is built)**Exponential growth of population/bacteria**Simple interest**Reverse simple interest*Percentage (of-as explanation and problems)

Increase and decrease Percentage

*Conversion of currency, distance, time & speed**Distance, speed & time (**with or without formula )**Direct & indirect variation/proportion**( Total 2 methods explained: one in this part & other in Problem video)**-Problems:**Direct & indirect variation/proportion (**easy shortcut method with full explanation)***-Problems***:**Comparing word problems (ratio, percentage & comparing better value for money) :**fast method saves your time*

"-" marked (Bold) include** problems** (in series, one after another).

**Algebra : **

Algebra - Rough Intro

Algebra - Translating Statement to expression

Algebra Addition

Algebra Simplification

Algebra - Multiplication

Algebra - Division

Algebra - Indices I

Algebra - Indices II

Single Bracket- I

Single Bracket- II

Simplifying equation I

Simplifying equation II

Simultaneous equation III

Property of equation IV

Solving equation V

Formula

Making subject I

Making subject II

Word problem- Linear equation in One variable

Word problem- Linear equation in two variable I

Word problem- Linear equation in two variable II

Word problem- Linear equation in two variable III

Double brackets

Simple factorization

Factorization - Quadratic Expression I

Factorization- Quadratic Expression II

Factorization - Quadratic Expression III

Factorization by using Identities IV

Factorization V

Solving Quadratic equation

Quadratic equation Formula

Word Problems- Quadratic Equation

Direct indirect

Question direct indirect

Rational expression I

Rational expression II

Rational expression III

Inequality - I

Inequality - II

Function, Domain and Range

Problems on functions

Composite functions

Question on Composite functions

Inverse function

Question on Inverse function

Question on Composite functions

Composite inverse function

nth Term of the Sequence

Linear Sequence

Geometric Sequence

Quadratic sequence I (First Method)

Quadratic sequence II (Second Method)

Quadratic sequence III

Cubic sequence I (First Method)

Cubic sequence II (Second Method)

Learners can write in messages for any suggestion or any feedback for this course.

Messages are most welcome!

- Thank you to all for their love and support.

Content

Basics : Number & Algebra

Integers

Solving Question on Integers

Multiple factors, HCF & LCM

Fraction -I

Decimal

Fraction - II

Fraction & Decimal

Order of Operation

Percent Basics

Algebra Basics

Recurring Decimal

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