# Mathematics Formula ICSE 10th Chapter-Wise

Mathematics Formula ICSE 10th Chapter-Wise. Applicable in All publications of ICSE Class-10 Mathematics. Formula of ICSE Mathematics Class 10th is very important to solve the problems.

## Mathematics Formula ICSE 10th Chapter-Wise

Important formula for icse class 10th mathematics is given below topic wise

**Goods and Service tax (GST)**

** GST= output GST- input GST**

Goods and Services Tax (abbreviated GST) is an indirect tax levied on the supply of goods

** Some terms related to GST **

1. Dealer. Any person who buys goods or services for resale is known as a dealer (or trader). A dealer can be a firm or a company.

2. Intra-state sales. Sales of goods and services within the same state (or Union Territory) are called intra-state sales.

3. Inter-state sales. Sales of goods and services outside the state (or Union Territory) are called inter-state sales.

4. Input GST and Output GST. GST is paid by dealers on purchase of goods and services

and is collected from customers on sale of goods and services. GST paid by a dealer is

called Input GST and GST collected from a customer is called Output GST.

5. Types of taxes under GST. There are three taxes applicable under GST:

(1) Central Goods and Services Tax (CGST).

(ii) State Goods and Services Tax (SGST) or Union Territory Goods and Services Tax

(UTGST).

Both these taxes are levied on intra-state sales ie. on sales of goods and services

within the same state. In intra-state sales, GST is divided equally among Centre and State Governments.

**Banking**

**Shares and Dividends**

** **

**Linear ****In equations**

we know that equality means =

Ex if A = B it is equality

but there are other conditions in which A is Not equal B then it is called In Equations

#### there are four Condition of in equation

(1) a<b

(2) a>b

(3) a is less than or equal to b

(4)a is greater or equal to b

**there are four law**

(i) add (or subtract) the same number or expression to both sides. no sign change

(i) any number (or expression) can be transposed from one side of an in equation to the other side with the sign of the transposed number (or expression) changed (-ve

to -ve or -ve to +ve).

(iii) multiply (or divide) both sides by the same positive number.no sign change

**(iv) However, when you multiply (or divide) by the same negative number, then the symbol of in equation is reversed**

**how solve in equation**

Procedure to solve a linear in equation in one variable

(1) Simplify both sides by removing group symbols and collecting like terms.

(ii) Remove fractions (or decimals) by multiplying both sides by an appropriate fact

(L.C.M. of denominators or a power of 10 in case of decimals).

(1) Isolate all variable terms on one side and all constants on the other side. Collect h

terms when possible.

(17) Make the coefficient of the variable 1.

(v) Choose the solution set from the replacement set**.**

**Quadratic Equations **

** **

**Reminder and Factor Theorem**

**Ratio and Proportion**

** **

**Matrices**

** **

**Arithmet****ic**** Progression**

- An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference “d”

For example, the sequence 9, 6, 3, 0,-3, …. is an arithmetic progression with -3 as the common difference. The progression -3, 0, 3, 6, 9 is an Arithmetic Progression (AP) with 3 as the common difference. - The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is T
_{n}= a + (n – 1) d, where T_{n}= n^{th}term and a = first term. Here d = common difference = T_{n}– T_{n-1}. - Sum of first n terms of an AP: S =(n/2)[2a + (n- 1)d]
- The sum of n terms is also equal to the formulawhere l is the last term.
- T
_{n}= S_{n}– S_{n-1}, where T_{n}= n^{th}term - When three quantities are in AP, the middle one is called as the arithmetic mean of the other two. If a, b and c are three terms in AP then b = (a+c)/2

**Geometric Progression**

- A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio. For example, the sequence 4, -2, 1, – 1/2,…. is a Geometric Progression (GP) for which – 1/2 is the common ratio.
- The general form of a GP is a, ar, ar
^{2}, ar^{3}and so on. - The nth term of a GP series is T
_{n}= ar^{n-1}, where a = first term and r = common ratio = T_{n}/T_{n-1}) . - The formula applied to calculate sum of first n terms of a GP:
- When three quantities are in GP, the middle one is called as the geometric mean of the other two. If a, b and c are three quantities in GP and b is the geometric mean of a and c i.e. b =√ac
- The sum of infinite terms of a GP series S
_{∞}= a/(1-r) where 0< r<1. - If a is the first term, r is the common ratio of a finite G.P. consisting of m terms, then the nth term from the end will be = ar
^{m-n}. - The nth term from the end of the G.P. with the last term l and common ratio r is l/(r
^{(n-1)}) .

** **

**Co ordinate Geometry ,Section formula,**

** **

** **** Equation of Straight Line**

**Equation of Straight Line**

**Similarity**

** **

**Locus**

** **

**Circles**

** **

**Constructions**

** **

**Mensuration**

** **

**Trigonometry **

**Heights and Distances**

** **

**Measures of Central Tendency/ Statistics**

** **

**ML Aggarawal Understanding Solutions.****RS Aggarawal Solutions Goyal Brother Prakashan.(ICSE Edition)****Concise Mathematics Solutions (Selina Publishers).**