CBSE Guess Paper

Subject – Mathematics

Class 10th

1. Find the value of cot²A – 4cosec²A.

2. If cos (35 + X) = sin300, then what is the value of X.

3. Two concentric circle of radius 10 cm and 6 cm Find the length of the chord of longer circle which is tangent to other circle

     (a) 8cm         (b) 3cm          (c) 16 cm              (d) 5cm

4. Sum of first n terms of a series is 5n² + 2n, then find the second term.

5. Is 1/7 a non-terminating decimal, why?

6. (1 + 3√2)(1 - 3√2) is

a. Positive integer b. Negative Integer c. Irrational No. d. None

7. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

      (A) 4              (B) 2               (C) 1                  (D) 3

8. If one zero of polynomial 5x² +13x + a is reciprocal of the other, find the value of other.

9. Two concentric circles are of radii 13cm and 5cm. The length of the chord of larger circle which touches the smaller circle is

       (a) 12cm           (b) 20cm             (c) 24cm            (d) 26cm

10. In ΔABC, DE||BC meeting AB at D and AC at E. If AB/BD = 4 and CE = 2 cm, find the length of AE.

11. Is the sequence –1, –1, –1,……in an A.P, why?

12. Value of k for which the system kx+2y = 5, 3x+y = 1 has unique solution.

        (a) k=6             (b) k=3              (c) k 6             (d) both b & c

13. State Euclid’s division lemma.

14. Find value of y and x when 0.56 is expressed in the form of a/(2^yx5^x).

15. The probability that a card drawn from a pack of 52 cards will be a diamond or a king is

         (a) 2/13           (b) 4/13             (c) 1/13        (d) 1/52.

16. If the angle between two radii of circle is 1200 the angle between the tangents at the ends of radii is

         (a) 90⁰              (b) 60⁰                 (c) 180⁰          (d) 120⁰.

17. What is the solution of the system of equation a₁x+b₁y+c₁ = 0 and a₂x+ b₂y+c₂₌₀ if the graph of the equation intersect each other at point P (a , b).

18. Sum of an irrational number and a rational number is always:

       (a) an irrational           (b) a rational              (c) an integer              (d) a whole number

19. The product of a non-zero rational and an irrational number is

       (A) always irrational

       (B) always rational

       (C) rational or irrational

       (D) none

20. If 2cos3A = 1, then find the value of A.

21. The coordinates of the middle points of the sides of a triangle are (4, 2) ( 3, 3) and (2, 2 ), then the coordinates of its centroid are

       (a) (3, 7/3)               (b) (3, 3)                 (c) (4,3)                 (d) none of these

22. Solve: (2cos67⁰/sin23⁰) – (tan40⁰/cot50⁰) – cos0⁰.

23. A funnel is the combination of

       (a) A cone and cylinder

       (b) frustum of cone and cylinder

       (c) hemisphere and cylinder

       (d) a hemisphere and a cone

24. What is the relationship between sum of zeros of a cubic polynomial ax³+bx²+cx+d (where a ¹ 0) and its coefficients?

25. Trigonometric ratio whose value is can not greater than 1

       (a) tanA                   (b) cosA               (c) sinA                (d) both (b) and (c)