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CBSE Class 9 Pre Board 2019 : Mathematics (St Xavier's Sr. Sec. School, Delhi)

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Annual Examination in MATHEMATICS Std. 9 25-2-2019 Time : 3 hrs. Max. Marks : 80 General Instructions: i) All questions are compulsory. ii) The question paper consists of 30 questions divided into four sections A, B, C & D. Section A comprises of 6 questions of 1 mark each, Section B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each & Section D comprises of 8 questions of 4 marks each. SECTION A (1 x 6 = 6 marks) 1. Find the perpendicular distance of the point (-5, 7) from the y-axis. 2. Write an equation in two variables that passes through the point (3, -5). 3. If a cube has surface area and volume numerically equal. Find the edge of such a cube. (OR) The curved surface area of a cylinder is 1210cm2 and its diameter is 20cm. Find its height. 4. Expand ( 2x 3 3y)2. 1 5. Simplify: ( 6. In ABC, If AB = AC, B = 55o, then find the measure of A. 27 ) -2 3 (OR) Find the value of 4 12 12 27 SECTION B (2 x 6 = 12 marks) 7. In the given fig., ABC = 25 . Then find AOC. B O C A 8. Find the remainder when f(x) = 9x3 3x2 +14x 3 is divided by g(x) = 3x 1, using remainder theorem. (OR) 1 If one of the zeroes of polynomial 2x2 + 3x + a is , find the value of a. 2 9. The lateral surface area of a cube is 100m2. Find the volume of the cube. 10. In the given fig., if AC = BD, show that AB = CD. State the Euclid s postulate/axiom used for the same. 11. A B If two lines intersect each other, then prove that the vertically opposite angles are equal. (OR) C D Find the measure of BOD in the given figure. 56 3x - 8 x + 20 A Std. 9 D C -2- O B MATHEMATICS

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