The **Perfect your Mathematics Fundamentals** is intended to introduce you to the basics of the number system and provide in-depth knowledge of all the methods that performed on them. This course primarily incorporates Integers, Fractions, Decimals, Factors & Multiples (HCF, LCM), BOD-MAS rules of brackets, Rational numbers, figures and required decimal places. You will also learn how to write big or small numbers in scientific notation or standard style and work with numbers when they are in standard form, and Estimation, Percentage and Ratio-Proportion, Unitary method, Direct and Inverse proportion, Multiple ratios, Profit, Loss, Discount and Tax also included in this course.

Moreover, the basic facts, concepts, terms, principles and application of different Math concept combined with every topic.

To sum up, this course covers almost all essential Mathematics topics required for GMAT, GRE, and Math Olympiad.

**What Will I Learn?**

- You will become perfect in addition, subtraction, multiplication, division, and comparison of Integers, fractions, and decimals.
- Able to apply BOD-MAS rules on simplification problems without making mistakes.
- Finding H.C.F, LCM and prime factorization will become faster and accurate by applying different methods
- By applying divisibility tests , you will be easily reduced fraction to lowest terms.
- Solve real life word problems based on fractions, H.C.F and LCM with full understanding.
- Locate Rational numbers on number line and write in decimal form using shortcut methods
- Solve problems easily by applying Estimation and writing numbers in Scientific Notation
- Will be able to write rounded off answers accurately to 1/2/3 d.p. or to given significant digits
- Percentage will become very easy for you and you will be able to solve all problems related to percentage easily.
- Able to solve problems on Ratio and proportion topic
- Able to solve difficult problems of direct and inverse variations
- You will be able to solve all kind of word problems on Profit, Loss, Discount, and Tax.

**Requirements**

- knowledge of Maths up to 5th grade

**Who is the target audience?**

- GMAT, GRE and MBA entrance exams students looking for revision of Math fundamentals
- Current IGCSE students because course is designed to cover many Math topics of this board.
- Middle school and junior school students of all boards
- High school students who are having trouble keeping up
- Studying for competitive exams and wants to revise basics
- Wants to brush up basics of Mathematics
- Parents looking for extra support with the fundamentals of Maths

### Course Curriculum

Integers ( Directed Numbers) | |||

Lecture 1 Introduction | FREE | 00:00:00 | |

Lecture 2 Quick glance at number system | FREE | 00:05:00 | |

Lecture 3 Integers and ordering of integers | 00:06:00 | ||

Lecture 4 Addition and Subtractions of Integers | 00:07:00 | ||

Lecture 5 Operations on Integers | 00:04:00 | ||

Lecture 6 Multiplication and Division of Integers | 00:04:00 | ||

Lecture 7 Powers of Integers (Exponents) | 00:04:00 | ||

Factors and Multiples | |||

Lecture 8 Complete knowledge about factors and multiples | 00:06:00 | ||

Lecture 9 Divisibility tests for 2,3,4,5,6 | 00:07:00 | ||

Lecture 10 Divisibility rules 7,8,9,10,11 | 00:06:00 | ||

Lecture 11 Prime Factorization | 00:06:00 | ||

Lecture 12 Highest Common Factor HCF | 00:10:00 | ||

Lecture 13 Least Common Multiple LCM | FREE | 00:16:00 | |

Lecture 14 Relation between LCM and HCF | 00:04:00 | ||

Fractions | |||

Lecture 15 Classification of Fractions | 00:04:00 | ||

Lecture 16 Convert mixed to improper and improper to mixed fractions | 00:03:00 | ||

Lecture 17 Equivalent Fractions | 00:04:00 | ||

Lecture 18 Comparing Fractions after converting to like fractions | 00:09:00 | ||

Lecture 19 Reducing a fraction to lowest term | 00:03:00 | ||

Lecture 20 Addition and subtraction OF fractions | 00:08:00 | ||

Lecture 21 Multiplication and division of fractions | 00:11:00 | ||

Lecture 22 Word problems on fractions | 00:16:00 | ||

Simplification Rule : BODMAS | |||

Lecture 23 BODMAS and rules to remove brackets | 00:03:00 | ||

Lecture 24 Simplify expressions using BODMAS rules | 00:05:00 | ||

Lecture 25 Simplify expressions involving fractions using BODMAS | 00:07:00 | ||

Decimal numbers | |||

Lecture 26 Decimal numbers in relation to fractions | 00:08:00 | ||

Lecture 27 Like and unlike Decimals | 00:05:00 | ||

Lecture 28 Ordering of Decimal numbers | 00:10:00 | ||

Lecture 29 Addition and subtraction of Decimal | 00:07:00 | ||

Lecture 30 Multiplication of Decimal | 00:03:00 | ||

Lecture 31 Division of Decimal | 00:00:00 | ||

Rational Numbers | |||

Lecture 32 Rational number | 00:02:00 | ||

Lecture 33 Representation of Rational Numbers on Number line | 00:04:00 | ||

Lecture 34 Determining which fraction is terminating or non terminating | 00:05:00 | ||

Lecture 35 shortcut method of writing decimal expansion of fraction to decimal | 00:08:00 | ||

Approximation | |||

Lecture 36 Rounding to whole number | 00:06:00 | ||

Lecture 37 Rounding to required number of decimals (1 d.p. ) | 00:05:00 | ||

Lecture 38 rounding to significant digits | 00:07:00 | ||

Lecture 39 Practice question on three methods of approximation | 00:05:00 | ||

Estimation and Scientific Notation or Standard form | |||

Lecture 40 Estimation | 00:05:00 | ||

Lecture 41 Scientific Notation | 00:07:00 | ||

Lecture 42 Operation on numbers when they are in scientific notation | 00:06:00 | ||

Percentage | |||

Lecture 43 Percentage to fraction and fraction to percentage | 00:06:00 | ||

Lecture 44 Percentage of a quantity and conversation to decimal | 00:05:00 | ||

Lecture 45 Expressing one quantity as percentage of another quantity | 00:06:00 | ||

Lecture 46 Finding increase decrease percent | 00:05:00 | ||

Lecture 47 Uses of percentages-Word Problems | 00:09:00 | ||

Ratio and Proportion | |||

Lecture 48 Ratio- How to express as simple ratio | 00:09:00 | ||

Lecture 49 How to compare Ratios | 00:04:00 | ||

Lecture 50 Word problems on finding ratios | FREE | 00:07:00 | |

Lecture 51 To divide a given quantity into a given Ratio | 00:11:00 | ||

Lecture 52 Proportion | 00:04:00 | ||

Lecture 53 Practice problems on Proportion | 00:00:00 | ||

Lecture 54 Continued proportion | 00:06:00 | ||

Unitary Method and its Applications | |||

Lecture 55 Direct Variation ( or proportion) | 00:04:00 | ||

Lecture 56 Problems based on Direct proportion | 00:10:00 | ||

Lecture 57 Inverse Variation ( or proportion) | 00:10:00 | ||

Lecture 58 Multiple Ratios | 00:10:00 | ||

Profit , Loss, discount and Tax | |||

Lecture 59 Basics – Profit and Loss | 00:04:00 | ||

Lecture 60 More practice problems on Profit & Loss | 00:06:00 | ||

Lecture 61 Selling price formula and Problems | 00:04:00 | ||

Lecture 62 Cost price formula and Problems | 00:03:00 | ||

Lecture 63 Higher problems on Profit and Loss | 00:08:00 | ||

Lecture 64 Basics – Discount | 00:05:00 | ||

Lecture 65 Practice problems on Discount | 00:04:00 | ||

Lecture 66 Tax | 00:06:00 |