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CBSE 9th Mathematics Worksheet- Some Important Revision Questions

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Answer the following
  1. Rationalize the denominator :  7-3√2 / 7+3√2           
                         
  1. Visualize 4.26 on the number line, using successive magnification upto 4 decimal places
  2. Find the points where the graph of the equation 3x + 4y =12 cuts the x-axis and the y-axis
  3. Three vertices of a rectangle are (4, 2), (– 3, 2) and (– 3, 7). Plot these points and find the coordinates of the fourth vertex.
  4. Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.
  5. Factorize: 12x2 –7x + 1  
  6. The angles of triangle are (x + 10° ), (2x – 30° ) and x° . Find the value of x
  7. In below Fig. , if AC = BD, then prove that AB = CD

  1. Without actually calculating the cubes, find the value of (23)3 + (–15)3 + (–8)3
  2. In the figure, PR > PQ and PS bisects QPR. Prove that PSR > PSQ.

  1. Factorise: x3 -23x2 +142x-120
  2. If x – 2 is a factor of x3 – 3x +5a then find the value of a.
  3. The polynomial f(x) = x4 – 2x3 + 3x2 – ax + b when divided by (x – 1) and (x + 1) leaves the remainders 5 and 9 respectively. Find the values of a and b.
  4. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see figure). Show that A > C and B > D.
     
  1. The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
  1. Prove that “The line segment joining the mid-points of two sides of a triangle is parallel to the third side and half of it.”
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