aditi class

                                           class IX                     Basic concepts and important points 1. Perpendicular bisector of a line segment joining two points is the locus of point equidistant from two given points. 2. Triangle formed by joining any point on the perpendicular bisector of a line segment, with the end points of line segment always forms an isosceles triangle.                     

                                                                          CIRCLES                                                                  CLASS-IX  Circle A circle is a set of those points in a plane which are at given distance from a given fixed point on the plane. The fixed point is                     📀 called centre and fixed distance is called radius of the circle. Arc of a Circle A continuous piece of the circle is called arc of a circle. There are two types of arcs : minor arc and major arc. Arc AB is minor arc,                ...

                                                                    CLASS-IX                                                 SURFACE AREAS AND VOLUMES Area of Plane Figures Some Definitions: 1.Perimeter: Perimeter of a plane figure is the measure of                          the length of its boundary. Perimeter of planes ⬠ = AB + BC + CD + DE + EA. 2.Area: Area of a plane figure is the measure of the region enclosed by it. Area of plane figure (inner region)= shaded region ABCDE Perimeter & Area of Different Plane figures: 1.Triangle: Let ⊿ABC has sides a, b, c. (i)the perimeter of a triangle is = a + b + c generally it is denote...

                                                 Class-- IX                                                   Math  ( Quadrilateral)                                      MULTIPLE CHOICE QUESTIONS 1.A diagonal of a rectangle is inclined to one side of the rectangle at 25°, The acute angle beiween the diagonals  (a) 55°                (b) 50°                             (c) 40°                     (d) 60° 2.  ABCD is a rhombus such that angle ACB =40°. Then angle ...

                                                         Class-- IX                                                          Math                                                        Construction 1.Construct at APQR, given that QR = 3 cm, 2Q=45° and PQ + QR = 6 cm. 2.Construct a AABC such that BC = 4 cm, 2B=60° and AC-AB=2 cm. 3.Construct a triangle XYZ in which 2Y=30°, 2Z=90° and XY+YZ+ ZX = 11 cm. 4.Construct angles of following measurements and justify the construction. (i) 30°(ii) 45°(iii) 15°(iv) 75°(v) 105°(vi) 135°. 5.Construct a triangle with perimeter 10...

                                                                     Class-IX                                                                     Math                                                                  Construction  (HOTS) 1.Construct a equilateral triangle whose altitude is 3.5 cm. 2.Construct a triangle ABC in which AB = 6 cm, 2B =60° and altitude CD=3 cm. 3.Construct a triangle ABC in which A =45°, 2B =60° and altitude CD= 5 cm. 4.Construct a APQR in which RP ...

                                                         Class --IX                                                            Math                                                          Construction                                     MULTIPLE CHOICE QUESTIONS 1.With the help of a ruler and a compass it is not possible to construct an angle of    (a) 37.5°                   (b) 40°    ...

                                                  Class --IX                                                    Math                                                   Surface Area and Volume                                         MULTIPLE CHOICE QUESTIONS 1.The radius of a sphere is 2r, then its volume will be (a) 4/3π r3         (b) 4π r3       (c)8πr3/3          (d) 32 /3 πr3 2.The total surface area of a cube is 96 cm2. The volume of the ...

                                                          Class-IX                                                           Math ( Surface area and volume)   HOTS 1.Two cubes have volumes in the ratio 27 : 64. Find the ratio of their surface areas. 2.If the heights of two cones are in the ratio 1 : 3 and their diameters are in the ratio 3 : 5, find the ratio of their volumes. 3.Find the length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high. 4.If each edge of a cube is increased by 25%, then find the percentage increase in its surface area. 5.If the volume of a sphere is divided by its surface area, the result is 27 cm. Find the diameter of the sphere...

                                                   class IX - surface area and volumes                                                          MISCELLANEOUS  1.The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the volume of     cylinder. 2. The edge of a cube is 10.5 mm. Find its total surface area in cm2 3.The volume of a committee room is 5760 m3. Its length and breadth are 24 m and 20 m respectively. Find the height of the room. 4.Wallpaper, 312 m long and 25 cm wide is required to cover the walls of a room. Length of the room is 7 m and its breadth is twice its height. Determine the height of the room. 5.One iron solid is a cuboid of dimensions 30 cm × 30 cm × 42...

                                                      class--IX  statistics                                                         MCQ 1.The class mark of the class 90-120 is (a) 90    ( b) 105         (c) 115             (d) 120 2.In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is (a) 6      (b) 7    (c) 8        (d) 12 3.Let m be the mid-point and / be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is (a) 2m+l            (b) 2m-l...

                                                                Class IX-Mathematics                                                                Statistics  (HOTS) 1.Mean of the ten observations x1, x2, .... X10 is p. If each of the first five observations is increased by    5 and each of the next five observations is decreased by 5 then new mean is q. Find p - q.  2.  If M =4+X2+.X5/15 , then find the value of x1 -M/15 +  x2-M/15  +  x3 -M/15 +......+X15-M/15. 3.Find the length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high. 4.A man spends ₹1,800 monthly on an average for the first four months...

                                               Statistic                                               Class IX-Mathematics                                                MISCELLANEOUS 1.The class marks of distribution are: 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102. Determine the class    size, the class limits and the true class limits. 2. Find the range of the following array of data: 70, 65, 71, 36, 55, 61, 62, 41, 40, 39, 35. 3. The electricity bills (in rupees) of 41 houses in a locality are given below. Construct a frequency     distribution table with a class size of 10.     30, 35, 37, 28, 32, 3...

                                                 CLASS -IX                                                   Probability  Example 1:  The probability of happening of an event is 45%. The probability of an event is                      (a) 45   (b) 4.5   (c) 0.45     (d) 0.045 Solution: (c) 45% means 45 out of 100.                 Therefore, probability = 45/100=0.45  Example 2:  In a class of 40 students. There are 110% girls. Then the number of girls is                 (a) 44   (b) 22     (c) 30     (d) None of the...

                                                            Probability                                                       Class IX-Math                                                    MISCELLANEOUS  1.Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:     Outcome           3 heads      2 heads    1 head       No head     Frequency           23              ...

                                                      Class IX-Mathematics  ( probability)                                                       MULTIPLE CHOICE QUESTIONS 1.  Empirical probability of an event is also known as      (a) an experimental probability      (b) a theoretical probability      (c) theoretical expectation of a chance      (d) None of these 2.  An experiment is performed 350 times and there are three possible events A, B and C in an             experiment.Possible occurrence of three events are recorded. Which among the following records  are possible.     (a) A: 176, B : 80, ...

                                                PERIODIC TEST-1(2025-2026)                                                CLASS IX                                                 ARTIFICIAL INTELLIGENCE                                                TIME DURATION:1 HOUR                             SECTION A: OBJECTIVE TYPE QUESTIONS Q.1 Answer any 4 out of the given 5 questions on Employability Skills            ...