Notes

Power and Index
If a number ‘x’ is multiplied by itself n times, the product is called power of x and is written as . In 
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HCF and LCM
Factor :  A number is said to be a factor of another number it divides the other number exactly. E.g. 2 and 3 are factors of 6. Common Factor : A common Factor of two or more numbers is a number that divides each of them
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Fractions
If any unit be divided into any number of equal parts, one or more of these parts is called a fraction of the unit. The fraction one- third, three- sevenths are written as  respectively, Each fraction has two- terms: a numerator and a denominator. Ø Numerator :- The upper number, which indicates the number of parts
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Number System
Natural Numbers : Numbers which are used for counting the objects are called natural numbers. They are denoted by N. N = { 1, 2, 3………………..} All positive integers are natural numbers. Whole numbers :-
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Percentage
The term percent means “for every hundred”. It can best be defined as- “A fraction whose denominator is 100 is called a percentage, and the numerator of the fraction is called the rate percent.   E.g. A man saves 10% of his monthly income means ‘A man saves Rs 10 out of every Rs 100 of his income. Some of the important prime fractions represented in percentage terms are given below-
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Squares and Cubes
1 Squares of numbers from 51 to 59: Where A is the unit digit of the number and A2 should be written as a two digit number.   2 Square of Numbers having unit digit 5
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Pronoun
Pronoun Pronouns are the words which are used by replacing main noun so that we can avoid the repetition of that noun again and again.  Rule1 When in any sentence the subject of the verb is receiver for an action and the action is said to be reflected then such verbs are called reflective verb like enjoy,avail,adapt,pride etc.Pronouns used for such reflection are herself, himself, themselves, ourselves etc. Example:
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Active-Passive Voice Tricks with Exercise
People who can use passive voice appropriately are considered to have a good level of English. Go through the article to learn about the correct usage of passive voice. Difference in Active and Passive voice  
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Noun
Noun Rule1 There are some nouns which are uncountable like thoughts, scenery, poetry, luggage, work etc. Such nouns are always followed by singular verbs. Example:  The scenery of forts in Rajasthan are very beautiful. 
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Triangles
Theorem Angle Sum Property of a Triangle The sum of the angles of a triangle is 1800.
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