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Mathematics Fundamentals

See the Curriculum Section for materials and enjoy learning with Imperial Academy.

Course Curriculum

Integers (Directed Numbers)
	Introduction	00:02:00
	Number system	00:09:00
	Integers and ordering of integers	00:07:00
	Addition and Subtractions of Integers	00:10:00
	Operations on Integers	00:06:00
	Multiplication and Division of Integers	00:06:00
	Powers of Integers (Exponents)	00:04:00
Factors and Multiples
	Complete knowledge about factors and multiples	00:07:00
	Divisibility tests for 2,3,4,5,6	00:07:00
	Divisibility rules 7,8,9,10,11	00:11:00
	Prime Factorization	00:13:00
	Highest common factor HCF	00:13:00
	Word problems based on HCF	00:12:00
	Least common multiple LCM	00:16:00
	Relation between lcm and HCF	00:04:00
Fractions
	Classification of Fractions	00:04:00
	Convert mixed to improper and improper to mixed fractions	00:03:00
	Equivalent Fractions	00:04:00
	Comparing Fractions after converting to like fractions	00:09:00
	Reducing a fraction to lowest term	00:04:00
	Addition and subtraction OF fractions	00:08:00
	Multiplication and division of fractions	00:11:00
	Word problems on fractions	00:16:00
Simplification Rule : BODMAS
	Bodmas and rules to remove brackets	00:03:00
	Simplify expressions using BODMAS rules	00:05:00
	Simplify expressions involving fractions using BODMAS	00:07:00
Decimal numbers
	Decimal numbers in relation to fractions	00:08:00
	Like and unlike Decimals	00:05:00
	Ordering of Decimal numbers	00:10:00
	Addition and subtraction of Decimal	00:07:00
	Multiplication of Decimal	00:03:00
	Division of Decimal	00:08:00
Rational Numbers
	Rational number	00:02:00
	Representation of Rational Numbers on Number line	00:05:00
	Determining which fraction is terminating or non-terminating	00:07:00
	Shortcut method of writing decimal expansion of fraction to decimal	00:08:00
Approximation
	Rounding to whole number	00:06:00
	Rounding to required number of decimals (1 d.p.)	00:05:00
	Rounding to significant digits	00:07:00
	Practice question on three methods of approximation	00:05:00
Estimation and Scientific Notation or Standard form
	Estimation	00:05:00
	Scientific Notation	00:07:00
	Operation on numbers when they are in scientific notation	00:06:00
Percentage
	Percentage to fraction and fraction to percentage	00:06:00
	Percentage of a quantity and conversation to decimal	00:06:00
	Expressing one quantity as percentage of another quantity	00:06:00
	Finding increase decrease percent	00:05:00
	Uses of Percentages-Word Problems	00:09:00
Ratio and Proportion
	Ratio- How to express as simple ratio	00:09:00
	How to compare Ratios	00:04:00
	Word problems on finding ratios	00:07:00
	To divide a given quantity into a given Ratio	00:11:00
	Proportion	00:04:00
	Practice problems on Proportion	00:06:00
	Continued proportion	00:06:00
Unitary Method and its Applications
	Direct Variation (or proportion)	00:04:00
	Problems based on Direct proportion	00:10:00
	Inverse Variation (or proportion)	00:10:00
	Multiple Ratios	00:10:00
Profit , Loss, discount and Tax
	Basics – Profit and Loss	00:04:00
	More practice problems on Profit _ Loss	00:06:00
	Selling price formula and Problems	00:04:00
	Cost price formula and Problems	00:03:00
	Higher problems on Profit and Loss	00:08:00
	Basics – Discount	00:05:00
	Practice problems on Discount	00:04:00
	Tax	00:06:00