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  • COAL AND PETROLEUM | Study

  • COMBUSTION AND FLAME | Assess

  • Data Handling | Assess

  • Data Handling | Study

  • Heat | Assess

  • HERON’S FORMULA | Study

  • Introduction to Graphs | Study

  • IS MATTER AROUND US PURE | Assess

  • Metals and Non-metals | Assess

  • COAL AND PETROLEUM | Study

    Mind Map Overal Idea Content Speed Notes Quick Coverage Natural Resources: Resources include everything provide by the nature. They form the wealth of a country. Types of Natural Resources:(i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously. Example: Sunlight, Air. (Scroll down till readmore

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    Natural Resources: Resources include everything provide by the nature. They form the wealth of a country.

    Types of Natural Resources:
    (i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously.

    Example: Sunlight, Air. (Scroll down till end of the page)

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    Natural Resources: Resources include everything provide by the nature. They form the wealth of a country.

    Types of Natural Resources:
    (i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously.

    Example: Sunlight, Air.

    (ii) Exhaustible: These resources are limited and can soon get exhausted because of Coal, petroleum and natural gas are fossil fuels.

    Fossil fuels were formed from the dead remains of living organisms millions of yearsago.

    Fossil fuels are exhaustible resources.

    Coke, coal tar and coal gas are the products of coal.

    Petroleum gas, petrol, diesel, kerosene, paraffin wax, lubricating oil are
    obtained by refining petroleum.

    Coal and petroleum resources are limited.

    We should use them judiciously.

    Petroleum is mixture of various constituents such as petroleum gas, petrol, diesel, lubricating oil, paraffin wax, etc.

    Refining: Refining is the process of refracting the various constituents / fractions of petroleum.

    It carried out in a petroleum refinery.

    Natural Gas: A very important fuel as it easy to transport through pipes and can be compressed and stored under high pressure as Compressed Natural Gas (CNG).

    It causes no pollution and has high calorific value.

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      • Data Handling | Assess

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        • Data Handling | Study

          Mind Map Overal Idea Content Speed Notes Quick Coverage Data Handling: Deals with the process of collecting data, presenting it and getting result. Data mostly available to us in an unorganised form is called raw data. (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Grouped data can be presented readmore

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          Data Handling: Deals with the process of collecting data, presenting it and getting result.

          Data mostly available to us in an unorganised form is called raw data. (Scroll down till end of the page)

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          Grouped data can be presented using histogram. Histogram is a type of bar diagram, where the class intervals are shown on the horizontal axis and the heights of the bars show the frequency of the class interval. Also, there is no gap between the bars as there is no gap between the class intervals.

          In order to draw meaningful inferences from any data, we need to organise the data systematically.

          Frequency gives the number of times that a particular entry occurs.

          Raw data can be ‘grouped’ and presented systematically through ‘grouped frequency distribution’.

          Statistics: The science which deals with the collection, presentation, analysis and interpretation of numerical data.

          Observation: Each entry (number) in raw data.

          Range: The difference between the lowest and the highest observation in a given data.

          Array: Arranging raw data in ascending or descending order of magnitude. Data can also presented using circle graph or pie chart. A circle graph shows the relationship between a whole and its part.

          There are certain experiments whose outcomes have an equal chance of occurring. A random experiment is one whose outcome cannot be predicted exactly in advance. Outcomes of an experiment are equally likely if each has the same chance of occurring.

          Frequency: The number of times a particular observation occurs in the given data.

          Class Interval: A group in which the raw data is condensed.

          (i) Continuous: The upper limit of a class interval coincides with the lower limit of the next class.

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            • HERON’S FORMULA | Study

              Mind Map Overal Idea Content Speed Notes Quick Coverage Perimeter Perimeter is defined as the outside boundary of any closed shape.  To calculate the perimeter of a given shape we need to add all the sides of the shape. Example: The perimeter of a rectangle is the sum of its all four sides. The unit readmore

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              Perimeter

              Perimeter is defined as the outside boundary of any closed shape. 

              To calculate the perimeter of a given shape we need to add all the sides of the shape.Perimeter

              Example: The perimeter of a rectangle is the sum of its all four sides. The unit of the perimeter is the same as its length.

              Perimeter of the Given rectangle = 3 + 7 + 3 + 7 cm

              Perimeter of rectangle = 20 cm. (Scroll down till end of the page)

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              Area

              Area of any closed figure is the surface enclosed by the perimeter. Unit of Area is the square of the unit of length.

              Area of a triangle

              The general formula to find the area of a triangle, if the height is given, is

              Area of a triangle

              Area of a Right Angled Triangle

              To find the area of a right-angled triangle, we use the formula:

              Area of a triangle

               right-angled triangle, we take the two sides having the right angle, one as the base and one as height.

              Example: Calculate area of a triangle of the Figure.Right angled triangle

              Data: base = 3 cm and height = 4 cm

              Formula: Area of triangle = 1/2 × 3 × 4= 6 cm 2

              Result: Area of a triangle of the Figure is 6 cm 2 .

              Remark: If you take base as 4 cm and height as 3 cm then also the area of the triangle will remain the same.

              Area of Equilateral TriangleEquilateral Triangle

              Equilateral Triangle: Equilateral Triangle is defined as a triangle having three equal sides.

              To calculate the area of the Equilateral Triangle ABC,

              We calculate the height (altitude), AD by making the median of the triangle.

              In the given example, the Height (altitude), AD touches Base of the equilateral triangle at the midpoint of BC, Say point, D. 

              Here the equilateral triangle ABC has three equal sides, such as:

              AB = BC = AC = 10 cm.

              Since, midpoint of BC divides the triangle into two right angle triangles.

              The height, AD, is calculated using Pythagoras theorem. 

              According to Pythagoras theorem, AB2 = AD2 + BD2

              On substituting the values we get, 

              (10)2 = AD2 + (5)2

              AD2 = (10)2 – (5)2

              AD2 = 100 – 25 = 75

              AD = 5√3

              Now we can find the area of the triangle using the formula:

              Area of triangle = 1/2 × base × height

              On substituting the values we get, 

              Area of triangle = 1/2 × 10 × 5√3

               25√3 cm2

              Area of Isosceles TriangleIsosceles Triangle

              In the isosceles triangle also we need to find the height of the triangle then calculate the area of the triangle.

              Here,

              height

              Area of a Triangle — by Heron’s Formula

              The formula of the area of a triangle given by herons is called  Heron’s Formula.

              Heron’s Formula:

              Heron’s Formula

              where a, b and c are the sides of the triangle and s is the semiperimeter 

              semiperimeter

              Generally, this formula is used when the height of the triangle is not possible to find or you can say if the triangle is a scalene triangle.

              Here the sides of triangle areScalene triangle

              AB = 12 cm

              BC = 14 cm

              AC = 6 cm

              triangle

              Application of Heron’s Formula in Finding Areas of Quadrilaterals

              If we know the sides and one diagonal of the quadrilateral then we can find its area by using the Heron’s formula.

              Find the area of the quadrilateral if its sides and the diagonal are given as follows.

              Given, the sides of the quadrilateral

              AB = 9 cmQuadrilaterals

              BC = 40 cm

              DC = 28 cm

              AD = 15 cm

              Diagonal is AC = 41 cm

              Here, ∆ABC is a right angle triangle, so its area will be

              Right angle triangle

              Area of Quadrilateral ABCD = Area of ∆ABC + Area of ∆ADC

              = 180 cm2 + 126 cm2

              = 306 cm2

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              • Introduction to Graphs | Study

                Mind Map Overal Idea Content Speed Notes Quick Coverage Graphical presentation of data is easier to understand. A bar graph is used to show comparison among categories. A pie graph is used to compare parts of a whole. A Histogram is a bar graph that shows data in intervals. (Scroll down till end of the readmore

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                Graphical presentation of data is easier to understand.

                A bar graph is used to show comparison among categories.

                A pie graph is used to compare parts of a whole.

                A Histogram is a bar graph that shows data in intervals. (Scroll down till end of the page)

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                Introduction to Graphs

                A line graph displays data that changes continuously over periods of time. A line graph which is a whole unbroken line is called a linear graph.

                For fixing a point on the graph sheet we need, x-coordinate and y-coordinate.

                The relation between dependent variable and

                through a graph.

                independent variable is shown

                A Bar Graph: A pictorial representation of numerical data in the form of bars (rectangles) of uniform width with equal spacing. The length (or height) of each bar

                represents the given number.

                A Pie Graph: A pie graph is used to compare parts of a whole. The various

                observations or components are represented by the sectors of the circle.

                A Histogram: Histogram is a type of bar diagram, where the class intervals are shown on the horizontal axis and the heights of the bars (rectangles) show the frequency of the class interval, but there is no gap between the bars as there is no gap between the

                class intervals.

                Linear Graph: A line graph in which all the line segments form a part of a single line. Coordinates: A point in Cartesian plane is represented by an ordered pair of numbers.

                Ordered Pair: A pair of numbers written in specified order.

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                • IS MATTER AROUND US PURE | Assess

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