CBSE Board Students Helpline

SAMPLE PAPER - 2008 Class - X SUBJECT - MATHEMATICS   Marks: 80                                                                                                   Time: 3Hrs                                                     SECTION-A Show that any positive odd integer is of the form 4q + 1 or 4q + 3 where q is some integer. 2) Consider the number 7 n where n is a natural number. Check whether there is any value n Є N for which 7 n ends with the digit 0. Why?                (No) 3) For a triangle ABC show that sin (b + c)     =    cos (A/2) where A, B, C are inte                                                                   2 rior angles of ∆ ABC. 4) Find the value of 9 sec ² A – 9tan ² A.                                                       (9) 5) Prove that sin 4 θ – cos 4 θ = sin² θ - cos² θ. 6) Show that the quadrilateral with vertices (3, 2), (0, 5), (-3, 2) and (0, -1) is a square.          7) The area of a circle is 78.5cm 2 . Calculate the circumference of the ...

SAMPLE PAPER - 2008 Class - X SUBJECT - MATHEMATICS   Marks: 80                                                                                               Time: 3 Hrs                                            SECTION-A Prove that tan θ (1 - sin ²θ ) = sin θ cos θ . Prove that 1 - tan ²θ     =  tan ²θ , θ ╪ 45.                          cot ²θ – 1 Show that 5 + √ 2 is irrational. Express 22/ 8 as a decimal fraction.                                         (2.75) The diameter of a circular pond is 17.5m. It is surro unded by a path of width 3.5m. Find the area of the path.                                                            (220m ² ) An arc of circle of radius 12m, subtends an angle of 150 º at the centre, find the length of major arc.                                                                            (10 π cm) A bag contains 4 red, 5 black, and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is          a) Red b) bl...

  SAMPLE PAPER - 2009 Class - X SUBJECT - MATHEMATICS   Time: 3Hrs.                                                                                                                               Marks:  80 (SECTION-A-10marks;Section-B-10marks,Section-C-30marks,Section D-30marks)                                               SECTION-A   1) Using Euclid’s division algorithm find HCF of 216 and 1176.     (24 2) Given below are 3 equations. Two of them have infinite solutions and two have unique solutions .State the two pairs.                                        (U-1,2,  I- 1,3.)        4x-5y=3, 5x-4y=5, 8x-10y=6. 3) Draw the graphs of 3x=3  and   x-2y= -4.Shade the area of the regions bounded by the lines and x-axis. 4) If -1 is one of the zero of the polynomial p(x)=3x 3 -5x 2 -11x-3, find the other two zeros                                                                                           (3,  -1/3) 5) Find the roots of equation a 2 x 2 -3abx+2ab 2 =0.     ...

SAMPLE PAPERS – 2009 Class – X Subject - Mathematics Time:3hrs                                                                                                                               Max.Marks:80 General Instructions               All questions compulsory The question paper consist of thirty questions divided in to 4 sections A,B,C and D. Section A comprises of ten questions of  1 marks each ,Section B comprises of five questions of 2 marks each, Section C comprises of  ten questions of 3 marks each and section D comprises of five questions of 6 marks each All questions in section A are to be answered in one word , one sentence or as per the exact requirement of the question there is no overall choice .However internal choice has been provided in one question of 2 marks each ,three question of three marks each and two questions of 6 marks each .You have to attempt only one of the alternatives in all such questions. In question on construction ,drawings should be neat and exactly ...