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# CBSE Pre Board Class 10 2019 : Mathematics (St Xavier's Sr. Sec. School, Delhi) : Set 1

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Pre Board Examination 2019 Std. 10 15-01-2019 Set 1 MATHEMATICS Max. Marks : 80 Time : 3 hrs. General Instructions: i) All the questions are compulsory. ii) The questions paper consists of 30 questions divided into 4 sections A, B, C and D. iii) Section A comprises of 6 questions of 1 mark each. Section B comprises of 6 questions of 2marks each. Section C comprises of 10 questions of 3 marks each. Section D comprises of 8questions of 4 marks each. iv) There is no overall choice. However, an internal choice has been provided in two questions of 1mark each, two questions of 2 marks each, four questions of 3 marks each and three questionsof 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 (1 6= 6 marks) 1. The decimal expansion ofa rational number is of decimals? 43 24 53 will terminate after how many places 2. If the sum of zeros of a quadratic polynomial p(x)=(k2 14)x2 2x 12is 1, find the value of k. 3. If the quadratic equation 2 2 5 + 15 = 0 has equal roots find the value of p. 4. For what value of k will + 9, 2 1, 2 + 1 are consecutive terms of an arithmetic progression. 5. A girl walks 500 km towards the east and then 1200km towards the north.Find her distance from the starting point. (OR) Is a triangle with sides 25m, 5cm and 24cm is a right triangle? Give reasons. 6. If ABC ~ QRP, 9 = , 4 AB = 18 cm, BC = 15 cm, find the length of PR. (OR) If the corresponding medians of 2 similar triangles are in the ratio 5:7, find the ratio of the corresponding sides. Section - B (2 6 = 12 marks) 7. The HCF and LCM of two numbers are 13 and 182 respectively.If one number is 26, find the other number. (OR) Show that 8 3is irrational given that 3is irrational. 8. If seven times seventh term of an AP is equal to eleven times of its eleventh term, find its 18th term. OR rd An AP consists 50 terms of which 3 term is 12 and last term is 106.Find the 29th term. 2 9. Find the zeroes of the quadratic polynomial 7x 175 and verify the relationship between zeros and coefficients. 10. For what value of p, will the following pair of linear equation have infinitely many solutions? (p 3) x + 3y = p px + py = 12 11. Find the coordinates of the point P which divides the join of A(-2,5) and B(3,5) in the ratio2:3. 12. Prove that: sin 3 + cos 3 sin +cos = 1 sin cos .

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