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# CBSE Class 10 Pre Board 2018 : Mathematics (St Xavier's Sr. Sec. School, Delhi) : Set 1

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ST. XAVIER'S SENIOR SECONDARY SCHOOL, DELHI - 110054 Pre-Board Examination 2018 in MATHEMATICS Set 1 Std. 10 18-01-2018 Max. Marks : 80 Time : 3 hrs. General Instructions: i) All questions are compulsory. ii) The question paper consists of 30 questions divided into four sections A, B, C and D. iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of 2 marks each. Section C contains 10 questions of 3 marks each. Section D contains 8 questions of 4 marks each. iv) There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. v) Use of calculators is not permitted. SECTION : A 2 45 3 20 1. Write whether 2. If the sum of the roots of the equation 3x - (3k - 2)x - (k - 6) = 0 is equal to the product of its roots, find the value of k. 3. Find the 20th term from the end of the A.P. 6, 10, 14, 18 ..174. 4. Write the coordinates of the reflections of the point (3, 5) along x and y axes. 5. In the given figure, PQ||BC and AP:PB = 1 : 2. 2 5 on simplification gives a rational or irrational number. 2 Find Ar.( APQ) . Ar.( ABC) A P B 6. If A+B = 900 and tan A = 3 4 Q C what is cot B? SECTION : B 7. Find the least number of square tiles required to pave the ceiling of a room 15m17cm long and 9m2cm broad, without any cutting of the tiles. 8. For what value of k will the following pair of linear equations have infinitely many solutions. 2x - 3y = 7 (k + 1)x + (1 - 2k)y = 5k - 4. 9. The sum of n terms of an A.P. is 10. If the vertices of a triangle are (1, -3), (4, p) and (-9, 7) and its area is 15sq. units, find the value of p. 11. Find the probability of getting 53 Fridays in an ordinary year. 5n2 3n . Find its 30th term. 2 2

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