SimpleMaths

Averages math concept : The word 'average' is common to everyone. Data collected are always necessary for every project. Definition : " The sum of all observations divided by total number of observations is known as average also know as arithmetic mean". Or " When objects are divided into equal parts, the number representing the same part is called average. " For example - Average marks of students. - Average height of students. - Average speed of the bike. - Average profit of the year. etc. Properties of Average : The average of the numbers is also called the mean of the numbers. The sequential numbers are equal to the numbers in the mean. The average of sequential even or odd numbers is equal to the mean number. Some important formulae : 1. Average = ( The sum of all the given numbers ) / Total number. 2. The sum of all the given numbers = Average × Total number. 3. Total number = Average × The sum of all the given n...

Simple Interest math: People need large amount of money for various reasons like buying a car, land, house, farm, education of children, etc.. Ordinary people always need money. If this large amount is not readily available with us, we can borrow it from a bank or a co-operative credit society. This borrowed amount is called loan. However, at the time of returning the loan to the bank or credit society, we have to pay back an amount somewhat bigger than the loan. This additional amount is called simple interest. Suppose Sachin borrowed Rs 4,00,000 from a bank to buy a car. When he paid back his loan after two years, he gave the bank an amount of Rs 4,50,000. That is, he paid an additional amount of Rs 50,000. It means that he paid Rs 50,000 as simple interest. The amount borrowed is called the principal. The principal period of time for which the amount is borrowed is called either ' period ' or ' time ' . In the above example, the principal is Rs 4,00,...

Profit and Loss math tricks: Shopkeepers, Traders, Fruit growers, Vegetable growers, Peddlers buy the goods and sell them to the Customers. Suppose a fruit grower buys a dozen mango's for 400 Rupee's and sells them to a customer for 600 Rupee's. * When you buy something, it costs you money. The amount of money for which something is bought is called it's 'cost' or its 'Cost Price'. The purchase price of a dozen mango's here is rs. 400 i.e. cost price is rs. 400. * The amount of money for which something is sold is called it's 'Selling Price'. The selling price of a dozen mango's here is rs. 600. * If the selling price of a thing is greater than the cost price, then we make a profit. Profit = Selling price - Cost price. * Sometimes a  thing has to be sold at less than the cost price because it has become spoilt or old or some better product has come into the market or for some other reasons. * If the selling pr...

Percentage tricks and shortcuts: We read  newspaper every   morning and watch news on TV and also use Radio, social media like whats app etc. to watch/read/ listen news. There has been a 10 percent increase rain fall in current year. The cost of petrol has been fall by 4 percent. Banks reduced interest rates by 2 percent. etc. We use the word percent often in everyday affairs. Look at the ratios 92/100, 84/100, 65/100, 58/100 The denominator of each of the ratio is 100, such a ratio is called a percentage. The percentage is written using the word percent or the symbol %. The ratio 92/100 is written as 92% or 92 percent. Similarly, 84/100 means 84% or 84 percent. Conversion of a fraction into percentage : We know that if the numerator and the denominator of a simple fraction are multiplied or divided by the same number we get an equivalent fraction. For example, 1. 4 / 5 = 4 × 2 / 5 × 2 = 8 / 10. 2. 2 / 7 = 2 × 3 / 7 × 3 = 6 / 21. 3. 2...

Ratio and Proportion : Ratio: In a cricket match, Sachin scored 160 runs and Rahul scored 80 runs. We can compare their scores in two ways : 1) By Subtraction : Sachin's score - Rahul's score = 160 - 80                                                  = 80 Thus, we see that Sachin has scored 80 runs more than Rahul. 2 ) By division : Let us see how many times Sachin's score is that of Rahul's. To do this, we shall divide Sachin's score by Rahul's. Sachin's score / Rahul's  score = 160 /  80 = 2 / 1. Thus, we see, that Sachin's score is 2 times Rahul's score. Definition of Ratio : "When two quantities are compared by division, then the quotient of that division is called a 'ratio'. The colon ':' is used to express a ratio." The ratio x/y is written as 'x:y' and is read as 'x  is to y'. In the ratio x : y , we call x as the first te...

Number System   math:   Who many cows, sheep's, animals, horse's.....etc.... All things answer in number system. The numbers one, two, three, etc., That are used for counting, as well as their respective symbols, 1, 2, 3, 4, 5, ...... Divisibility Rules| Ratio & Proportion | Percentage There are several type of number such as follows : Natural numbers: The   group of numbers 1, 2, 3, 4, .... is called natural numbers. Natural numbers denoted by N. N = { 1, 2, 3, 4, . . . . } These numbers increase in value as we go from left to right. The smallest natural number is 1. 1 + 2 + 3 + 4 + ------- + n = n ( n + 1 ) / 2. For example : 1. 1 + 2 + 3 + 4 + ------- + 10 = ? Answer : n ( n + 1 ) / 2 = 10 ( 11 ) / 2 = 55. 2. 1 + 2 + 3 + 4 + ------- + 50 = ? Answer : 50 ( 51 ) / 2 = 1275. 3. 11 + 12 + 13 + ------- + 30 = ? Answer : ( ( First number  + Last number ) / 2 ) * Total natural numbers. = ( ( 11 + 30 ) / 2 ) *...

Divisibility Rules: Divisibility Meaning  : when numerator value can be completely  divided by denominator value, then the numerator value is said to be divisible by the denominator value. Number System | Ratio & Proportion | Percentage For example: 20 can be completely divided by 5, hence, the number 20 is divisible by 5. Tests for divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 15. Test for divisibility by 2: If   a number has any of the digit's like 0, 2, 4, 6 or 8 in its units place, then that number is divisible by 2. For example: 12, 26, 88, 94, 104 etc. this number's are completely divisible by 2. Test for divisibility by 3: If the sum of all the digit's in a number is divisible by 3, then that number is divisible  by 3. For example: 15 That is 1 + 5 = 6 6 is divisible by 3. Hence, the number 15 also is divisible by 3. Test for divisibility by 4 : If the number formed by the digit's in the tens and...