GUESS PAPER - 2009



GUESS PAPER – 2009

Class : X

MATHEMATICS

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

1. Find the Euclid’s division algorithm to find the HCF of 426 and 576.

2. The graph of y=f(x) is given below. Find the number of zeroes of f(x).

y

y=f(x)

x’ o x

3. Find the quadratic polynomial with sum and product of its zeroes as 0 and -10/3 respectively.

4. How many terms of the sequence 18,16,14, ........ should be taken so that their sum is zero.

5. sin4A = cos(A-200) , where 4A is an acute angle, find the value of A.

6. In an isosceles ∆ABC, the base AB is produced both ways to P and Q such that

AP x BQ = (AC)2 Prove that ∆ACP ∆BCQ.

7. Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.

8. Find the probability of getting a black king when a card is drawn from a well shuffled deck of 52 cards.

9. Write the formula for finding the mode of grouped frequency distribution.

10. Write the length of the second diagonal of the rhombus whose side is 5cm and one of the diagonal is 6cm.

SECTION B

11. If -4 is the root of the quadratic equation x2 + px -4=0 and the quadratic equation x2 + px +k=0 has equal roots then find the value of k.

12. Evaluate sin(500+x) – cos(400 - x) + tan 10.tan 100.tan 800.tan 890

OR

If sin(A+B) = 1 and cos(A-B) = √3/2 find A and B (A>B, 0 ................
................

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