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BYJU'S, CBSE Class 9 Maths Sample Paper Set 1, The Learning App, SUBJECT: MATHEMATICS, MAX. MARKS : 80, CLASS : IX, DURATION : 3 HRS, General Instruction:, (i) All questions are compulsory., (ii) This question paper contains 30 questions divided into four Sections A, B, C and D., (iii) 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 and Section D comprises of 8, questions of 4 marks each., (iv) There is no overall choice. However, an internal choice has been provided in two questions in 1, mark each, two questions in 2 marks each, four questions of 3 marks each and three questions of 4, marks each. You have to attempt only one of the alternatives in all such questions., (v) Use of Calculators is not permitted, Section A, (Questions 1 to 6 carry 1 mark, 81, 1. Evaluate: x, 36, Lening App, 25, 2. Find the value of k, (x - 1) is the factor of x2 + 9x – 5 +k, 93, 3. Simplify:, 95, OR, 49, Find the value of m if 343m =, 7m, 4. The coordinate of two points are P(4,6) and Q(-5,-7) then, find (abscissa of P) - (abscissa of Q)., 5. If the length of three sides of a triangle is 25 cm, 20 cm and 15 cm, then find the area of the triangle., OR, Find the class mark of the interval 100 – 110., https://byjus.com
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B BYJU'S, The Learning App, 6. If the length of the longest rod that can be placed in a room of dimensions 20m x 20m x 10m., Section B, (Questions 7 to 12 carry 2 marks each), 7. Find the simplest form of 0.78 in fraction., OR, If x = 9 - 4V5, then (x +, =?, 8. If each side of an isosceles triangle is 3V2 cm and its base is 8 cm, then find the area of an isosceles, triangle., 9. Find the mean of the first nine prime numbers., 10. Is (x + 1) is a factor of the polynomial x, + x886 + x775 + x654 + x113 + 1?, 11. In supplementary angle, if first angle is 20° less than second angle, then the larger angle is equal to?, OR, Ingpp, If the four angles of a quadrilateral are in the ratio 3: 5:6: 10. Find its smallest angle., 12. If the area of the circle is 841n cm2, then find the length of the longest chord of the circles., Section C, (Questions 13 to 22 carry 3 marks each), V11-1, 13. If-, = a – bv11, then find the value of a and b., V11+1, 14.If x* + = 34 (x > 1), then find the value of x +., x4, 15. In complementary angle, if one angle is three times of other angle, then find the larger angle., OR, In given figure, lines PQ and RS intersect each other at point O. If ZPOR : LROQ is, 5: 15. Then, find the angle of ZSOQ., https://byjus.com
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BBYJU'S, The Learning App, 16. If the area of the triangle BGC is 28 square units and the centroid of the triangle is G. Then, find the, area of the triangle ABC is equal to., 17. If each side of an equilateral triangle is 6V3 cm, then, find the altitude of an equilateral triangle., 18. The radius of the sphere is 7 cm. It is melted and drawn into a wire of radius 0.3 cm. Find the length, of the wire., 19. If one diagonal of the rhombus is five times than other diagonal and also sum of two diagonals is 180, cm. Then, find the area of the rhombus., OR, If one of the angles of the base is 15° less than angle of the vertex of an isosceles triangle, then find the, angle at each base., m App, 20. If one chord of the circle is given by 18.0 cm, then find the radius of this circle., 21. If the internal opposite angle is 51°, then find the external angle of a cyclic quadrilateral., OR, Find the value of v15 + 10v2+ V15 – 10/2, 22. Find the median of the following data:, Class, 6, 12, 18, Frequency, 12, 14, 24, 11, OR, If a number selected at random from the number 6, 7,.......,50, then find the probability of getting a, prime number?, https://byjus.com, 15
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BBYJU'S, The Learning App, Section D, (Questions 23 to 30 carry 4 marks each), V7+V6, V7-V6, V7-V6, 23. If x =, and y =, find x + y =?, 24. Find the remainder when the polynomialP(x) = 2x3 – 5x2 + 3x +7 is divided by (2x + 1)., 25. If x + y + z = 6 and x? + y? + z2, = 18, then find x + y3 + z3, Зхуz., OR, When t2 – 1 exactly divides the polynomial P(t) = a,t + a2t3 + azt2 + a4t + as then prove that, a1 + az + a5 = a2 + a4 = 0, 26. If the measure of an angle is 60° and the perimeter of a rhombus is 48 cm, then find the area of the, rhombus., 27. The volume of the cylinder is 750 rcm3 and its height is 30 cm. Find radius and total surface area., OR, Appy, If the sum of the parallel sides of a trapezium is 70 cm and area of the trapezium is 350 cm2, then find, the height of the trapezium., 28. From a point P, 40 cm away from the centre of a circle, a tangent PT of length 32 cm is drawn. Then,, find the radius of the circle., 29. If the perimeter of an isosceles triangle is 64 cm and its equal sides are 20 cm. Then, find the area of, an isosceles triangle., OR, If a number is selected at random from the number 14, 15, 16,...,77 then find the probability of the, number is divisible by 7., 30. The mean of the following frequency distribution is 8. Then, find p., Class, 7, 11, 13, Frequency, 8, 15, p, 8, 4, https://byjus.com
