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CONVENT OF JESUS & MARY HIGH SCHOOL, RANAGHAT Half Yearly Examination (Online) Class IX F. M. 40 Subject Mathematics Time 2 hrs. 1) There are 20 questions. Each question carries 2 marks. Attempt all questions. 2) Do the work out in a loose sheet or copy, then scan and convert it to a single PDF file and send it to my email id. 3) Also fill up the multiple choice OMR sheet whose link is provided. Answers in the OMR sheet will be checked first and if is correct then the rough work will be checked for the procedure and if it is correct then only marks will be awarded. _________________________________________________________________________ 1) If x 3 2 and y 3 2 3 2 3 2 Find the value of x2 + y2 is 2) If 1 48 14 b 3 5 3 4 2 72 108 8 2 then the value of b is 3) If m = 3 5 , then the value of m2 5m + 5 + 1 4) If x + y + z = 0, then the value of x 2 y2 z2 is yz xz xy 5) If a 4 1 a 4 = 23, find the value of a 3 1 a3 6) Factorise a4 + 4 7) Solve : 3 m 5 n = 1 and 2m = n 3 2 8) Solve : 20 22 5 x y x y 10 33 8 x y x y 9) I am seven times as old as you were when I was as old as you are, said Col. Rana to his son Captain Rana. Find their present ages if the sum of their ages is 110 years. 10) If x = 3 1 3 3 13 , find the value of 3x3 9 x 11) If 9 x 12 147 , find x 12) From the given figure find the value of x and y after proving the respective parts of the triangles to be congruent. A 2x + 4 B x 3y + 8 D 2y E C 13) The median of 6, 7, 8, x + 6, 2x + 6, 13, 14, 24 is 9. Find the mean and mode if the given values are arranged in ascending order. 14) In the table given the mean of the observation is 15. Find the value of x Age 12 14 16 18 20 No. of students 6 x 4 3 2 15) The perimeter of an isosceles is 110 cm. Its base is Find its area. 2 times the sum of equal sides. 3 3 16) Find the area of the equilateral with altitude 12 3 cm. 17) If 3cosA 4sinA = 0, then the value of sin A 2 cos A is 3 cos A sin A 18) If A = 60 and B = 30 , find the value of sinA cosB + cosA sinB B C 19) If A, B and C are angles of a triangle, find cosec in terms of A 2 20) Find the mean of the following observation. Also find the median x 50 52 53 51 48 49 f 6 3 7 2 7 5
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