Basic Geometry


 


















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RATIO & PROPORTIONS

  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’....
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GRAPH IN MATH...

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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 ...
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MATH PUZZLE...

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  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
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