9th Mathematics Pre-Mid Exam Question Paper (2019-20)

9th CBSE Mathematics Pre-Mid Examination Question Paper (2019-20)

School Name: Himalayan Public School, Sector 13, Rohini, Delhi 110085 India
Time: 3 hr
M.M. 80 marks
Date: 24/06/2019
Class: IX
Subject: Mathematics

General Introductions:

1. All questions are compulsory.
2. This question paper consists of 40 questions divided into five sections – A, B, C, D and 3-D DEXTER.
3. Section-A contains 16 questions of 1 mark each.
   Section-B contains 3 questions of 2 mark each.
   Section-C contains 8 questions of 3 mark each.
   Section-D contains 6 questions of 4 mark each.
   3-D DEXTER contains 4 questions of 1 mark each and 3 questions of 2 marks each.
4. Use of Calculators is not permitted.

Section A: 9th Mathematics Pre-Mid Exam

Question: 1. Give an example of two irrational number whose product is rational.

Question: 2.

Question: 3.

Question: 4. Find the value of (3√2 – 5) (3√2 + 5)

Question: 5. What is the degree of the polynomial p(x) = 3?

Question: 6. Find the coefficient of x in (5 – x )².

Question: 7. Find the zero of the polynomial p(x) = 2x + 9.

Question: 8. If p(x) = x² – 2√2x + 1, find p(2√2)

Question: 9. Find the reminder when x¹¹ + 101 is divided by x + 1.

Question: 10. Find the value of 103² using a suitable Identity.

Question: 11. Where does the point (-2, 7) lie in the coordinate plane?

Question: 12. If two complementary angles are in the ratio 4:5, then find the angles.

Question: 13. The angles of a triangle are (3x + 40°), (4x + 10°) and (3x + 50°). Find the value of x.

Question: 14. What are the coordinates of a point whose abscissa is -2 and lies on x – axis?

Question: 15. Find the measure of an angle whose supplement is equal to the angle itself.

Question: 16. An exterior angle of a triangle is 80° and the two interior opposite angle are equal. Find the measure of each interior opposite angle.

Section B: 9th Mathematics Pre-Mid Exam

Question: 17.

Question: 18. If the area of an equilateral triangle is 81√3 cm², find its perimeter.

Question: 19. In figure, lines PQ and RS intersect at a point T, such that ∠PRT = 40°, ∠RPT = 95° and
∠TSQ = 75°, find ∠SQT.

Section C: 9th Mathematics Pre-Mid Exam

Question: 20.

Question: 21.

Question: 22. If x – 2y = 6, find the value of x³ – 8y³ – 36xy – 216.

Question: 23. Factorise: 8x³ – 27y³ – 36x²y + 54xy²

Question: 24. Find:

1. mirror image of P(-1, 4) in x – axis.
2. perpendicular distance of Q(-2, -4) from x axis.
3. abscissa of the point R(3, 0).

Question: 25. In figure, AB || EF and CD || EF. Also EA ⊥ AB. If ∠BEF = 40°, then find x, y and z.

Question: 26. In figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between OP and OR.

Prove that ∠ROS = ½ (∠QOS – ∠POS).

Question: 27. Side of a  triangle are in the ratio 13:14:15 and its perimeter is 84 cm. Find its area.

Section D

Question: 28.

Question: 29. If p(x) = ax³ – 3x² + 4 and g(x) = 2x³ – 5x + a, when divided by x – 2 leaves reminder p abd q respectively and if p – 2q = 4, find the value of a.

Question: 30. Factorise p(x) = x³ + 13x² + 32x + 20

Question: 31. Three vertex of a  square PQRS and P(1,0), Q(5,0) and R(5,4). Then
(a) plot the point P, Q and R on graph.
(b) find the coordinates of the missing vertex S.
(c) find the area and perimeter of PQRS.

Question: 32. In ΔABC, the side AB and AC of triangle are produced to points E and D respectively. If bisectrs BO and CO of ∠CBE and ∠BCD respectively meet at point O, then prove that ∠BOC = 90° – ½ ∠A.

Question: 33. ABC is an equilateral triangle with side ‘a’.

1. Find the area of ΔABC using Heron’s formula.
2. If its perimeter is 180 cm, what will be the area of the triangle.

3-D DEXTER

Question: 34. Who invented 3D printing? [1]

Question: 35. What is the full form of ABS? [1]

Question: 36. At what temperature PLA melts? [1]

Question: 37. How many motors does 3D printer has? [1]

Question: 38. Explain the process of printer a cube. [2]

Question: 39. What is design thinking? What are 5 stages of the design thinking? [2]

Question: 40. Write shortcuts of the following: [2]

1. Rectangle tool
2. Offset tool
3. Rotate tool
4. Push Pull