7th Class

  Geometry   Learning Objectives  
  •  Line and angles
  •  Triangle
  • Congruency of triangles
  • Symmetry
  Lines and Angles  
  • A is an infinitely thin, infinitely long collection of points extending in two opposite directions. While drawing lines in geometry, an arrow at each end is put up to show that it can extend infinitely.
            A line can be named either using two points on the line (for example\[\overleftrightarrow{AB}\] ) or simply by a letter, usually lowercase (for example, line m).
  • A line segment has two end points. It contains these endpoints and all the points of the line between them. One can more...

  Mensuration   Learning Objectives  
  • Mensuration
  • Introduction to Solid Shapes
  • Important Facts
  Mensuration   Mensuration is the branch of mathematics which deals with the study of geometrical shapes, their area, volume and related parameters. Here, we will discuss the areas and perimeter of plane figures.   Some important mensuration formula are listed in the table given below.            
Name more...
   Algebra   Learning Objectives
  • Ratio
  • Proportion
  • Percentage
  • Algebraic Expressions
  • Simple Equations
      Ratio and Proportion   Ratio We often have to compare quantities in our daily life. They may be heights, weights, salaries, marks etc. While comparing salaries of two persons i.e., salaries 6000 per month and 9000 per month, they may be written as the ratio 6000:9000 or 2 : 3. In general, the ratio of two quantities a and b in the same units is the fraction \[\frac{a}{b}\] and we write it as a:b. In the ratio a: b, we call a as the first term or more...

  Data Handling   Learning Objectives  
  • Data Collection
  • Graphical Representation of Data
  • Probability
  Data Collection             Data collection is important as it helps us to collect, study and record information, make decisions about important issues as well as to pass Information on to others. It enables us to provide information regarding a specific topic or area of study. The data that are collected need to be organised in a proper table, so that it becomes easy to understand and interpret. Lets understand some important terms:
  • Frequency: The frequency of a particular data value is the number of times the data value occurs. For example, if four students have a score of 80 in mathematics, and then the score of 80 is said to have a more...

  Analogy   Introduction Analogy is a similarity between like features of two things on which comparison may be based in terms of reasoning,  the meaning of analogy is logical similarity in two or more things. This similarity may be on the basis of properties, kinds, traits, shapes etc. Analogy plays a significant role in problem solving such as decision making, perception, memory, creativity, emotion, explanation and communication, it lies behind basic tasks such as the identification of places, objects, etc.               Example             Money : Bank : : Book: Library             Explanation: 1st pair- Money: Bank (Thing and a place where it is kept).             2nd pair- Book: Library (Thing and a place where it is kept).             As ‘Money’ is deposited in ‘Bank’, similarly a ‘Book’ is more...

  Blood Relation   Blood Relation Blood relation is a biological relation. Although husband and wife are not biologically related to each other but they are biological parents of their own children. Similarly, brother, sister, paternal grandfather, paternal grandmother maternal grandfather, maternal grandmother, grandson, grandmother, niece, cousin etc. are our blood relatives. Blood relations are mainly classified into two categories;   Relations of Paternal Side   more...
  Series   Introduction A series is a sequence of many elements following a particular pattern or rule. Such sequence is formed by putting the elements one after another from left to right. There are mainly three types of series - Letter series, Number series and Mixed series.   Letter Series A letter series is a sequence of many elements made of English alphabets. Such sequence is formed by putting the letters one after another from left to right.   Type 1 This type of letter series is a sequence of Setters related to each other by some specific pattern.   Example Which one of the following letters will come in place of the question mark (?)?             A E I M Q?             (a) T                             (b) U more...

                                  Classification   Introduction Classification is a process of grouping various objects on the basis of their common properties. In the Questions that are generally asked on classification we have to assort the items of a given group on the basis of certain common quality they possess and then spot the stranger out. For sample, if we have to separate out the odd one from the group of four animals- lion, tiger, bear and goat, then definitely that animal will be goat because goat is the only animal in the group which is a domestic animal. Rests of the animals (lion, tiger and bear) are wild animals.   Letter Based Classification In these type, a letter or a group of letters is to be sort out from the others more...

  Direction Test   Learning Objectives
  • Introduction
  • Letter Based Classification
  • Word Based Classification
  • G.K. Based Classification
  • Number Based Classification
  Understanding the Concept of Directions   There are four main directions – East, West, North and South as shown below:                Note: On paper North is always on the top while South is always as the bottom. There are four cardinal directions – North-East (N - E), North-West (N - W), South-East (S - E) and South-West (S - W) as shown below. more...

  Time, Clock and Calendar   Learning Objectives  
  • Time and Clocks
  • Calendar
  • Concept of Year and Months
  Time, Clock and Calendar The face or dial of a watch is a circle whose circumference is divided into 60 equal parts minute spaces. A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand.
  • In 60 minutes, the minute hand gains 55 minutes on the hour hand.
  • In every hour, both the hands coincide once.
  • The hands are in the same straight line when they are coincident or opposite to each other.
  • When the two hands are at right angles, they are 15 minute more...


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1. Father's father               Grandfather