Class 9 - Sample Question Paper (Mathematics) I – SA-I Time allowed: 3 hours Maximum marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections – A, B, C and D. (iii) Section A contains 10 questions of 1 mark each, which are multiple choice type questions, section B contains 8 questions of 2 marks each, section C contains 10 questions of 3 marks each and section D contains 6 questions of 4 marks each. (iv) There is no overall choice in the paper. (v) Use of calculators is not permitted. Section – A Question numbers from 1 to 10 are of one mark each. 1. Decimal expansion of a rational number can never be a) Terminating b) Non-terminating c) Non-terminating non-recurring d) Non-terminating recurring 2. Which of the following is a rational number between 3 and 4? a) √ b) .010010001… c) d) 3. The degree of the zero polynomial is a) 0 b) 1 c) 1 d) Not defined Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 1 4. If a) 0 b) 1 c) d) 0 then 5. In which quadrant the coordinates are of the form a) b) c) d) 6. Number of straight lines that can be drawn through two given points a) 1 b) 2 c) 0 d) Infinite 7. If three or more points lie on the same line then they are called as a) Coplanar points b) Collinear points c) Concurrent points d) Non-collinear points 8. In the figure shown a) b) c) d) , then 9. Two sides of a triangle are 6.5 cm and 5 cm. The length of the third side cannot be a) 10.5 cm b) 11 cm c) 1.5 cm d) 9.5 cm Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 2 10. In and triangles are congruent by which axiom? a) SAS congruence axiom b) ASA congruence axiom c) RHS congruence axiom d) SSS congruence axiom and then the two Section – B Question numbers 11 to 18 carry 2 marks each. 11. Find 4 rational numbers between and . 12. Rationalize the denominator of 13. Factorize: √ √ 1 14. Find the remainder when 10 is divided by ( ). 15. Write the coordinates of P, Q, R and S shown in the following graph. 16. In the figure shown. AB||CD. Find . 17. In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD = AE. 18. Show that in a right angled triangle, the hypotenuse is the longest side. Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 3 Section – C Question numbers 19 to 28 carry 3 marks each. 19. Evaluate . ̅̅̅̅ 0.1 ̅ 20. Define (i) Radius (ii) Parallel lines (iii) Perpendicular lines (iv) Line segment. 21. Plot the following points: 1 2 4 5 22. A p rk i the sh pe of qu ril ter l ABCD h s C CD = 5 m and AD = 8 m. How much area does it occupy? 0 , AB = 9 m, BC = 12 m, 23. If the polynomial 11 is divided by leaves a remainder . Find the value of . 24. Divide 11 1 by 1. 25. Prove th t “if tr svers l i tersects two p r llel li es the e ch p ir of lter te i terior gles is equ l”. 26. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. 27. Angles opposite to equal sides of an isosceles triangle are equal – prove. 28. D is poi t o si e BC of ABC such th t AD AC. Show th t AB > AD. Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 4 Section – D Question numbers 29 to 34 carry 4 marks each. 29. Represent √ on number line. 30. Verify 31. AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB. 32. Prove that the sum of the angles in a triangle is 1 0 . 33. In figure show the si es AB AC of ABC re pro uce to poi ts E D respectively. If bisectors BO CO of CBE BCD respectively meet t poi t O, then prove that 0 Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 5 34. ABC is isosceles tri gle i which AB AD AB. Show th t BCD is right gle. For solutions, please visit: AC. Si e BA is pro uce to D such th t www.learnnext.com/sample-papers.htm Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 6 Copyright © 2013. Next Education India Pvt. Ltd. All rights reserved. Page 7

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