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Download Mathematics (Maths) Guess Papers X (10th)- 2008

GUESS PAPER - 2008
Class - X
MATHEMATICS (Set-6)

Time: 3 hrs Marks: 80 General Instructions: ( I ) All questions are compulsory. ( ii ) The question paper consists of 30 questions divided into four sections A, B, C and D. Section A contains 10 questions of 1 mark each, Section B is of 5 questions of 2 marks each, Section C is of 10 questions of 3 marks each and section D is of 5 questions of 6 marks each. ( iii ) There is no overall choice. However, an internal choice has been provided in one question of two marks each, three questions of three marks each and two questions of six marks each. ( iv ) In question on construction, the drawing should be neat and exactly as per the given measurements. ( v ) Use of calculator is not permitted. SECTION A ( Qns 1 10 carry 1 mark each ) 1. Given that HCF ( 306, 1314 ) = 18, find LCM ( 306, 1314 ).

2. Find the quadratic polynomial whose zeros are 5 + ? 3 and 5 - ? 3.

3. Find the positive real root of the equation 64x2 1 = 0.

4. If tan? + 1/tan? = 2, then find the value of tan2? + 1/tan2?.

5. Find the first 3 terms of the series if the sum of n terms is n ( n + 1 ) . 2

6. A largest sphere is carved out from a solid cube of side 7cm. What will be the

radius of the sphere so formed?

7. A vertical pole of length 6m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28m long. Find the height of the tower.

8. In fig XY and XY are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and XY at B. What the measure of LAOB? 9. A single letter is selected from the word PROBABILITY. Find the probability that it is a vowel.

10. Write the empirical relationship between the three measures of central tendency.