21EDM18 Divya.S

  MATHEMATICS PUZZLE   1)  There are five squares (one 3x3 and four 1x1) formed with 20 matchsticks, as shown in the illustration. Move two matchstick to get seven squares. Overlapping or breaking of matchsticks or "loose ends" are not allowed. ANSWER: Seven squares are formed: five 1x1 squares, one 2x2 square, and one 3x3 square. 2) What is unique about 8549176320 ? It is the digits 0 to 9 in  alphabetical  order. Note: it can also be exactly divided by all of the digits 1-9 except 7 (thanks to "The Hermit") 3) Answer : 35 4) Answer : 24 5) ANSWER:14 6) ANSWER: 22 7) Answer : 333

  TYPES OF TRIANGLE  TRIANGLE:  A triangle is a polygon with three edges and three                                vertices.                   It is one of the basic shapes in geometry.                     A triangle with vertices A,B and C is denoted. TYPES OF TRIANGLE: AREA OF TRIANGLE:

  RATIO & PROPORTION Ratio  A ratio is a comparison of two quantities. ● A ratio can be written as a fraction; ratios are mostly written in the simplest form. ● In the above example, the ratio of rice to water in terms of the number of cups can be written in three different ways as 1 : 2 or  1/2 or 1 to 2 . Properties of Ratio ● A ratio has no unit. It is a number. For example, the ratio of 8 km to 4 km is written  as 8 : 4 = 2 : 1 and not 2 km : 1 km. ● The two quantities of a ratio should be of the same unit. The ratio of 4 km to 400 m  is expressed as (4 × 1000) : 400 = 4000 : 400 = 10 : 1 ● Each number of the ratio is called a term. ● Order of the terms in a ratio cannot be reversed.  We can get equivalent ratios by multiplying or dividing the numerator and denominator by a common number. Proportion When two ratios are equal , we say that the ratios are in Proportion. This is denoted as a : b : : c : d and it is read as ‘a is to b as c is to d’.  Proportionality law If two rati

  BODMAS:   As per the  BODMAS rule , we have to calculate the expressions given in the brackets first.  The full form of BODMAS is Brackets, Orders, Division, Multiplication, Addition and Subtraction.  Hence, the second preference in BODMAS is given here to the orders or exponents (x n ).   Later we perform the  arithmetic operations  ( ÷, ×, +, -) .  We will solve examples based on this rule in the below sections. It explains the order of operations to be performed while solving an expression.  According to the BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by ‘order’ (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right.  Solving the problem in the wrong order will result in a wrong answer. Tips to Remember BODMAS Rule: The rules to simplify the expression using BODMAS rule are as follows: First, simplify the brackets Solve the exponent or root terms Perfor

SUDOKU The popular Japanese puzzle game Sudoku is based on the logical placement of numbers. An online game of logic, Sudoku doesn’t require any calculation nor special math skills; all that is needed are brains and concentration. Play Free Sudoku Now! Sudoku is one of the most popular puzzle games of all time. The goal of Sudoku is to fill a 9×9 grid with numbers so that each row, column and 3×3 section contain all of the digits between 1 and 9. As a logic puzzle, Sudoku is also an excellent brain game. If you play  Sudoku daily , you will soon start to see improvements in your concentration and overall brain power. Start a game now. Within no time  Sudoku free puzzles  will be your favorite online game. The goal of Sudoku is to fill in a 9×9 grid with digits so that each column, row, and 3×3 section contain the numbers between 1 to 9. At the beginning of the game, the 9×9 grid will have some of the squares filled in. Your job is to use logic to fill in the missing digits and complete

  SET AND TYPES OF SETS SET: A set s well defined collection of objects or numbers or elements. UNION OF SET: The union of two sets is a set containing all elements that are in A or in B. INTERSECTION OF SET: Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. TYPES OF SETS 1. Empty Sets The set, which has no elements, is also called a null set or void set. It is denoted by {}.Below are the two examples of the empty set. Example of empty set: Let set A = {a: a is the number of students studying in Class 6th and Class 7th}. As we all know, a student cannot learn in two classes, therefore set A is an empty set. Another example of an empty set is  set B = {a: 1 < a < 2, a is a natural number}, we know a natural number cannot be a decimal, therefore set B is a null set or empty set. 2. Singleton Sets The set which has just one element is named a singleton set. For example,Set A = { 8 } is a singleton set. 3. Finite and I

  2D AND 3D SHAPES SHAPES:  The shape can be defined as the boundary or outline of an object. In general, we can see shapes such as triangles, squares, and circles everywhere around us. Thus shapes have only lenght and breadth are 2D or two-dimensional. while other shapes such as the shape of a house have length, breadth and height. Thus shapes are 3D or three-dimensional. 2D SHAPES:                           A 2D shapes has two dimensions lenght and breadth. examples: Rectangle, Square, Circle, Triangle. 3D SHAPES:                        A 2D shapes has three dimensions lenght, breadth and height. examples: Cuboid, Cube, Cylinder, Sphere. See the above image the 1st one is circle and it is in 2D shape and the 2nd one is sphere and it is in 3D shape. Here are some 2d and 3d shapes Differences between 2D and 3D shapes You (or the children in your class) might be wondering about the differences between 2D and 3D shapes. This is a really good question, since it can be confusing to underst

  The Real Number System All numbers that will be mentioned in this lesson belong to the set of the Real numbers. The set of the real numbers is denoted by the symbol  \mathbb{R} R . There are  five subsets  within the set of real numbers. Let’s go over each one of them. Five (5) Subsets of Real Numbers 1) The Set of Natural or Counting Numbers   The set of the natural numbers (also known as counting numbers) contains the elements, The ellipsis “…” signifies that the numbers go on forever in that pattern. 2) The Set of Whole Numbers  The set of whole numbers includes all the elements of the natural numbers plus the number zero ( 0 ). The slight addition of the element zero to the set of natural numbers generates the new set of whole numbers. Simple as that! 3) The Set of Integers The set of integers includes all the elements of the set of whole numbers and the opposites or “negatives” of all the elements of the set of counting numbers. 4) The Set of Rational Numbers  The set of ration

GRAPH IN MATH What Is a Graph? Math and numbers can be hard to understand, especially if you have a lot of data you are comparing. However, a graph can make it easier. Why? Because a graph is data or numbers put into an easy-to-follow picture. And depending on the type of numbers you are working on graphing; you might need a different type of graph for each. For example, if you were comparing different color shirts in your classroom, you might use a bar graph or pie chart. However, if you want to connect numbers in a line, you might use a line graph. Graphs vs. Charts While you might hear  chart  and  graph  used interchangeably, these two terms are not exactly the same. Graphs are types of charts. Charts are a way to present information graphically, including graphs, diagrams, tables, and other visual representations of data. So while all graphs are charts, not all charts are graphs. Since that’s confusing, it might be easier to remember that visual representations of math relationshi