## Saturday, May 30, 2020

For this group 2 and group 2A exams, the maths questions where given make use of these notes to clear the exam. Which was given by SURESH IAS ACADEMY BELOW

To achieve this exam practice these questions every day it is possible to reach your goal. These questions that u see they are free from cost to make use it and u may clear the exams in a successful manner. I would suggest you to learn these questions to clear the exam in an easy manner. Day_ by_day you practice well be sure that you may clear the exams.

Make use of these notes in a useful manner so that u can achieve your goal. These questions are more than enough to clear the exams. We are given syllabus wise in these notes. Concentrate on these questions. Have patience and work hard to clear the exam.

POINTS TO REMEMBER:-

4.1 Triangle: Revision

GEOMETRY

A triangle is a closed plane figure made of three-line

segments.

In Fig. 41 the line segments AB, BC and CA form a closed figure. This is a triangle and is denoted by AABC. This triangle may be named as AABC or BCA or B ACAB

Fig. 4.1

The line segments are forming a triangle are the 3 sides of the triangle. Ia Fig.4.1 AB, BC and CA are the three sides of the triangle

The point where any 2 of the 3 line segments of a triangle intersect is known as the vertex of the triangle. In Fig. 4.1 A, B and C are the three vertices of the

AABC.

When two line segments intersect, they form an angle at that point. In the triangle in Fig. 4.1 AB and BC intersect at B and form an angle at that vertex

This angle at B is read as angle B or B or ZINC. Thus a triangle has three angles ZA, ZB and 2C.

In Fig 4.1 ABC has Sides : AB,BC,CA

Angles: ZCAB, LABC, 2BCA Vertices: A, B, C The side opposite to the vertices A, B, C are BC, AC and AB respectively. The

angle opposite to the side BC, CA and AB is A. ZB and 4C respectively.

4.2 Types of Triangles

Based on the sides

A triangle is said to be Equilateral when all its sides are equal.

Isosceles, when two of its sides are equal.

Scalene, when its sides are unequal.

Based on angles

the triangle is said to be

acute

acute.

Geometry

Right-angled, when one of its angles is a right angle and the other two angles are

Obtuse - angled, when one of its angles is obtuse and the other two angles are

Acute - angle, when all the three of its angles are acute.

The sum of the length of any 2 sides of a triangle is always greater than the length of the 3 sides.

6.1 Mean, Median and Mode of ungrouped data

Arithmetic mean

We  can always use the word average' in our day to day life

Province

spends an average of about 5 hours daily for her studies

In the month of May, the average temperature at Chennai is 40-degree cell

What do the above statements tell us!

Province usually studies for 5 hours. On some days, she may study for a number of hours and on other days she may study longer.

The average temperature of 40-degree celsius means that the temperature of the month of May at Chennai is 40-degree celsius. Sometimes it may be less the degree celsius and at other times it may be more than 40-degree celsius.

Average lies between the very best and also the lowest worth of the given knowledge

Rohit gets the following marks in different subjects in an examination

6284929874

In order to get the average marks scored by him in the examination, we first add up all the marks obtained by him in different subjects.

62+84+92+ 98 + 74 - 410.

and then divide the sum by the total number of subjects. (ie. 5)

The average marks scored by Rohit - 410 = 82

This number helps us to understand the general level of his academic achievement and is referred to as mean.

The average or arithmetic mean or mean is defined as follows.

Mean Sum of all observations
By
Total number of observations

We can add integers as we do in Natural numbers But in integers, we have already the operation addition. But first and third from the sign of the number. For Example: In (+5) + (+3) the second -sign represents should differentiate the addition and subtraction operation signals same, Since the answer for 5+3 is 8, we understand (+5) Addition of two positive numbers is easy. (+5)+(+3) and 5+3 are one and the + signs represent the sign of the number low to add two negative integers? On a number line, when I is added to any number we get a number which lies in the immediate right of it. We know if 1 is added +(+3)- 8. to range|variety} three we have a tendency to get a brand new number fourthat lies to the correct aspect of three.

number

What happens if (+1) is added to (1)? Is it not 0 (zero)! That is the required

So, (-1) + (+1) -0. Using this concept we shall easily become the addition and

subtraction of positive and negative integers.

1.4.1. Addition using colour balls can easily understand the addition and subtraction of integers using balls of two colours. Let us assume that blue ball represents (+1) and red ball represents (-). The integers are represented using colour balls in the following table.