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- 1. CBSE Sample Papers for Class 9 SA2 Maths Solved 2016 Set 12 Code LNCBSE R011 N0. E: | Candidates must write the code on the title page of the answer-book Maths Time allowed : 3 hours Maximum Marks : 90 General Instructions: (i) This question paper has five sections Section A, B , C,D and E. You are to attempt all the sections. (ii) All Questions are compulsory (iii) There is no overall Choice. (iv) The Question paper consists of 31 Questions (v) Section A Comprises of 4 questions of 1 Mark each (vi) Section B Comprises of 6 questions of 2 Marks each. (vii) Section C Comprises of 8 questions of 3 Marks each (viii) Section D Comprises of 10 questions of 4 Marks each (ix) Section E Comprises of 2 questions of 3 Marks each and 1 question of 4 Marks from open Text Theme. (x) Use of Calculator is not permitted. Learncbse. in
- 2. CBSE Sample Papers for Class 9 SA2 Maths Solved 2016 Set 12 SECTION-A 1. In a survey of 364 children aged 5 — 14 years it was found that 91 liked to eat potato chips. lf a child is selected at random. find the probability that he/ she does not like to eat potato chips. . Base area of a cylinder is 154 cm2. its height is 5 cm. Find its volume. . The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio 5 ; 3. Find the ratio of their volume. 4. If the class marks in frequency distribution are 19.5. 26.5. 33.5. 40.5. then find the claw limits corresponding to the class mark 33.5. (BIO SECTION-B 5. Three spheres of radii 3 cm. 4 cm and 5 cm are melted together to form a single sphere. Find the diameter of new sphere. . An equilateral AABC is inscribed in a circle with centre 0. Find the measure of ABOC. . The volume of a right circular cone is 320 It cu. cm and the radius of its base is 8 cm. Find the height and slant height of the cone. 8. Three coins were tossed 30 times simultaneously. Each time the number of tails occurring was noted as follows : 2. O, 1. 3,2. 1. 2, 0. 2. 1. 3. 2. 1. 1, 2. 3. 3. 2. 2. 0. 1. 1. 2. 2. 3. 0. 3. 2. 1, 2. Prepare a frequency distribution for the given data. 9. The mean of 16 numbers is 8. If 2 is added to every number. what will be the new mean ? lC’ 10. The surface area of a sphere of radius 5 cm is five times the area of the curvedfsurfacei a cone of radius 4 cm. Find the height and the volume of the cone Taking? ! = 272 . SECTION-C 11. A die has six faces marked as 1. 2, 3, 4, 5 and 6. The die is thrown 100 times and the outcomes are recorded as given in the table : K 5 E Z Find. P(1) + P(2) + P(3) + P(4} + P(5) + H6) I Learncbse. in
- 3. CBSE Sample Papers for Class 9 SA2 Maths Solved 2016 Set 12 12. In a parallelogram. show that the angle bisectors of two adjacent angles intersect at right angles. 13. The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60". Find the angles of the parallelogram. 14. ll one side of a cyclic quadrilateral is produced. then the exterior angle is equal to the interior opposite angle. Prove it. 15. Construct an angle of 135"‘ at the initial point of a given ray and justify the construction. 16. A plastic box 1.5 m long. 1.25 m wide and 65 cm deep is to be made. It is to be open at the top. ignoring the thickness of the plastic sheet. determine : (ii the area of the sheet required for making the box. (ii) the cost of sheet for it. if a sheet measuring lmz cost if 20. 17. To level a playground. a roller 100 cm long. 70 cm in diameter. takes 1509 complete revolutions. Find the cost of levelling the playground at the rate of ? 1.25 per m”. 18. Find the unknown entries (a. b, c. cl, e, I. ) in the following frequency distribution table of heights of 50 students in a class. A 160-165 165»17D 170» 175 1° 1 d B Classes 175 2-18?) " ' 150-155 11- Cumulative 25 Frequency SECTION-D ‘__. .--. ... .-. .-. ._-. - -- -- _- -. ___, _ _ 19. In the figure. ABCD is a rhombus. Side AB is produced to E and F. such that D C AE = AB = BE. Prove that ED and FC are perpendicular to each other. 20. A point. E is taken as the mid-point of the A B side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that : ar (AADFJ = at (| |9“" ABFC) F 21 . The diagonals of a parallelogram ABCD intersect at the point 0. Through O. a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area. 1 Learncbse. in
- 4. CBSE Sample Papers for Class 9 SAZ Maths Solved 2016 Set 12 22. Bisectors of angles A. B and C of a AABC intersect its circumcircle at D. E and F respectively. Prove that the angles of the ADEF are 90° — ‘YA . 90°‘ — £78 and 90” — respectively. 23. If two chords AB and CD of a circle AYDZBWCX intersect at right angles. Prove that : arc CXA + are DZB = arc AYD + arc BWC = semicircle. 24. Construct a APQR whose perimeter is 12 cm and sides are in the ratio 2 : 3 : 4. 25. A tent is in the shape of a right circular cylinder upto a height of 3 m and a cone above it. The maximum height of the tent above the ground is 13.5 m. Calculate the cost of painting the inner side of the tent at the rate of ? 3 per sq. m. if the radius of the base is 14 m. 26. Manohar builds a room measuring roof 22 m by 20 m. He also builds a cylindrical tank having diameter of base 2 m and height 3.5 m adjoining the room to collect the rainwater of roof for harvesting, If the tank is just filled with rainwater. find the rainfall in cm. What values are depicted in Manohar's plan ? 27. The following two tables gives the distribution of students of two sections according to the markstobtained by them : mm 0 - 10 3 0 ~10 5 19 15 10 1 Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections. Learncbse. in
- 5. CBSE Sample Papers for Class 9 SAZ Maths Solved 2016 Set 12 28. An insurance company selected 2000 drivers at random (i. e.. without any performance of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table : Age of Drivers Accidents In One year (in years) Find the probabilities of the following events for a driver chosen at random from the city ; [i) being 21 ~ 30 years of age and having exactly 3 accidents in one year. (ii l being 31 — 45 years of age and having one or more accidents in a year. (iii) having no accident in one year. SECTION—E Question numbers 29 to 31 carry total of 10 marks based on Open Text Theme provided by CBSE from Linear Equations in Two Variables. Learncbse. in

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